You are hereProf. Dr. Yongwimon Lenbury

# Prof. Dr. Yongwimon Lenbury

## ProfessorPh.D. (Mathematics), Vanderbilt University, U.S.A. Office : M 203/2, B 205/1 Tel : 02-2201-5341, 0-2201-5448 Fax : 0-2201-5343 email : yongwimon.len@mahidol.ac.th |

## Research Interests

My main research interest is in mathematical and computer modelling of biological systems. Our current activities are involved with modelling signal transduction process in living cells. This research project is being carried out under a research grant from the National Center for Genetic Engineering and Biotechnology (BIOTEC), National Science and Technology Development Agency (NSTDA). The goals are as follows.

- To construct models of the signal transduction process consisting of reaction diffusion equations and analyze the model to relate the diffusive patterns to different pathological situations.
- To conduct experiments and collect data as well as images that will be used to verify the mathematical models. This part of the research is carried out in conjunction with some researchers in the Department of Physiology in the Faculty of Science, Mahidol University.
- Application of an optimization technique to find the best estimates of the kinetic parameters in the reactions.
- Stochastic modelling methods will be used to account for the random or fluctuation effect in the process.
- 5.Analysis of the models will be carried out to determine the stability or robustness of the system. Very often, the results of theoretical analysis, apart from yielding insightful interpretations, can lead to valuable suggestions of experimental design to confirm the theoretical predictions. This often reveals several discoveries that cannot be arrived at by doing clinical trials alone.

Our research group is also interested in modeling several other dynamical systems in nature, for example, the insulin-glucose system and diabetes, HIV infection and control, drug resistance, and electrical excitability in myatonia and paralysis. Theories and tools on nonlinear systems are utilized to analyze the system models, leading us to insightful discoveries.

## Recent Publications

25. Lenbury, Y., Tumrasvin, N. Singular Perturbation Analysis of a Model for the Effect of Toxicant in Single-Species Systems. Mathematical and Computer Modelling. 31 (2000) 125-134.

26. Lenbury, Y., Ouncharoen, R., Tumrasvin, N. Higher Dimensional Separation Principle for the Analysis of Relaxation Oscillations in Nonlinear Systems: Application to a Model of HIV Infection. IMA Journal of Mathematics Applied in Medicine and Biology. 17 (2000) 243-261.

27. Lenbury, Y., Ruktamatakul, S., Amornsamankul, S. Modeling Insulin Kinetics: Responses to a Single Oral Glucose Administration or Ambulatory-fed Condition. BioSystems. 59 (2001) 15-25.

28. Niamsup, P., Palmore, J., Lenbury, Y. The Composition of Halley's and Newton's Functions and Its Schwarzian Derivative. Complex Variables. 45 (2001) 349-353.

29. Kunphasuruang, W., Lenbury, Y., Hek, G. A Nonlinear Mathematical Model for Pulsatile Discharges of Luteinizing Hormone Mediated by Hypothalamic and Extra-Hypothalamic Pathways. Mathematical Models and Methods in Applied Sciences. 12(5) (2002) 607-624.

30. Dumrongpokaphan, T., Lenbury, Y. Cascade Mechanism in a Self-regulatory Endocrine System: Modelling Pulsatile Hormone Secretion. Pure and Applied Chemistry. 74(6) (2002) 881-890.

31. Lenbury, Y., Pansuwan, A., Tumrasvin, N. Chaos and Control Action in a Kolmogorov Type Model for Food Webs with Harvesting or Replenishment. ScienceAsia. 28(3) (2002) 205-215.

32. Suwanwongse, S., Chasreechai, S., Lenbury, Y., Kataunyuthita, S. Modeling of AIDS Incidence and the Response of Transmission Rates to Increased Awareness: a Case Study of the Thai Province of Nakorn Pathom. Southeast Asian Journal of Tropical Medicine and Public Health. 33(3) (2002) 581-588.

33. Siripunvaraporn, W., Egbert, G., Lenbury, Y. Numerical Accuracy of Magnetotelluric Modeling: A Comparison of Finite Difference Approximations. Earth Planets Space. 54(6) (2002) 721-725.

34. Pongsumpun, P., Lenbury, Y., Tang, I.M. Age Structure in a Model for the Transmission of Dengue Haemorrhagic Fever in Thailand. East-West Journal of Mathematics. Special Volume (2002) 93-103.

35. Kammanee, A., Lenbury, Y., Tang, I.M. Transmission of Plasmodium Vivax Malaria. East-West Journal of Mathematics. Special Volume (2002) 277-284.

36. Kanyamee, N., Lenbury, Y., Tang, I.M. The Effect of Migrant Workers on the Transmission of Malaria. East-West Journal of Mathematics. Special Volume (2002) 297-308.

37. Rattanakul, C., Lenbury, Y., Krishnamara, N., Wollkind, D.J. Modeling of Bone Formation and Resorption Mediated by Parathyroid Hormone: Response to Estrogen/PTH Therapy. BioSystems. 70(1) (2003) 55-72.

38. Maneesawarng, C., Lenbury, Y. Total Curvature and Length Estimate for Curves in CAT(K) spaces. Differential Geometry and its Applications. 19 (2003) 211-222.

39. Dumrongpokaphan, T., Lenbury, Y., Crooke, P.S. The Analysis of Higher-Order Cascade Systems with Separation Conditions Pivoting on the Slow Components: Application to a Model of Migration for Survival of the Species. Mathematical and Computer Modelling. 38 (2003) 671-690.

40. Triampo, W., Triampo, D., Tang, I.M., Lenbury, Y. Random Walk on a Plane-Spin-Rotator System: Continuum Theory and Monte Carlo Simulations. ScienceAsia. 29 (2003) 289-299.

41. Wong-ekabut, J., Triampo, W., Tang, I.M., Triampo, D., Baowan, D., Lenbury, Y. Vacancy-Mediated Disordering Process in Binary Alloys at Finite Temperatures: Monte Carlo Simulation. Journal of the Korean Physical Society. 45(2) (2004) 310-317.

42. Poltem, D., Wiwatanapataphee, B., Ruengsakulrach, P., Lenbury, Y., Punpocha, M., Wu, Y.H. A Numerical Study of Blood Flow Patterns in Coronary Artery Bypass Grafts. Quantitative Methods. 1(1) (2004) 1-7.

43. Lenbury, Y., Giang, D.V. Nonlinear Delay Differential Equations Involving Population Growth. Mathematical and Computer Modelling. 40 (2004) 583-590.

44. Lenbury, Y., Pornsaward, P. A Delay-differential Equation Model of the Feedback-controlled Hypothalamus-pituitary-adrenal Axis in Humans. Mathematical Medicine and Biology: A Journal of the IMA. 22 (2005) 15-33.

45. Crooke, P.S., Kongkul, K., Lenbury, Y., Adams, A.B., Carter, C.S., Marini, J.J., Hotchkiss, J.R. Mathematical Models for Pressure Controlled Ventilation of Oleic Acid-injured Pigs. Mathematical Medicine and Biology. 22 (2005) 99-112.

46. Giang, D.V., Lenbury, Y., Seidman, T.I. Delay Effect in Models of Population Growth. Journal of Mathematical Analysis and Applications. 305 (2005) 631-643.

47. Siripunvaraporn, W., Egbert, G., Lenbury, Y., Uyeshima, M. Three-Dimension Magnetotelluric Inversion: Data Space Method. Physics of the Earth and Planetary Interiors. 150 (2005) 3-14.

48. Ngamsaad, W., Triampo, W., Kanthang, P., Tang, I.M., Nuttawut, N., Modjung, C., Lenbury, Y. A Lattice Boltzmann Method for Modeling the Dynamic Pole-to-Pole Oscillations of Min Proteins for Determining the Position of the Midcell Division Plane. Journal of the Korean Physical Society. 46(4) (2005) 1025-1030.

49. Modchang, C., Kanthang, P., Triampo, W., Ngamsaad, W., Nuttawut, N., Tang, I.M., Sanguansin, S., Boondirek, A., Lenbury, Y. Modeling of the Dynamic Pole-to-Pole Oscillations of the Min Proteins in Bacterial Cell Division: the Effect of an External Field. Journal of the Korean Physical Society. 46(4) (2005) 1031-1036.

50. Kaewong, T., Lenbury, Y., Niamsup, P. A Note on Asymptotic Stability Conditions for Delay Difference Equations. International Journal of Mathematics and Mathematical Sciences. 7 (2005) 1007-1013.

51. Pansuwan, A., Rattanakul, C., Lenbury, Y., Wollkind, D.J., Harrison, L., Rajapakse, I. Nonlinear Stability Analyses of Pattern Formation on Solid Surfaces During Ion-Sputtered Erosion. Mathematical and Computer Modelling. 41 (2005) 939-964.

52. Yanarojana, S., Chantharaksria, U., Wilairat, P., Lenbury, Y. Kinetic Modeling of Lipoprotein Peroxidation Initiated by Copper and Azo Compounds. ScienceAsia. 31(4) (2005) 369-381.

53. Tiensuwan, M., Yimprayoon, P., Lenbury, Y. Application of Log-linear Models to Cancer Patients: A Case Study of Data from the National Cancer Institute of Thailand. Southeast Asian Journal of Tropical Medicine and Public Health. 36(5) (2005) 1283-1291.

54. Plienpanich, T., Niamsup, P., Lenbury, Y. Controllability and Stability of the Perturbed Chen Chaotic Dynamical System. Applied Mathematics and Computations. 171 (2005) 927-947.

55. Niamsup, P., Lenbury, Y. Factors and Factors for Near Quasi-norm on Certain Sequence Spaces. International Journal of Mathematics and Mathematical Sciences. 2005(15) (2005) 2441-2445.

56. Wiwatanapataphee, B., Poltem, D., Lenbury, Y. Unsteady State Blood Flow in Stenosed Coronary Artery Bypass Grafts. East-West Journal of Mathematics. Special Volume (2005) 59-67.

57. Amornsamankul, S., Wiwatanapataphee, B., Wu, Y.H., Lenbury, Y. Simulation of Blood Flow in the Lumen and Porous Medium Regions of Stenotic Arteries. East-West Journal of Mathematics. Special Volume (2005) 95-103.

58. Wiwatanapataphee, B., Poltem, D., Wu, Y.H., Lenbury, Y. Simulation of Pulsatile Flow of Blood in Stenosed Coronary Artery Bypass with Graft. Mathematical Biosciences and Engineering. 3(2) (2006) 371-383.

59. Amornsamankul, S., Wiwatanapataphee, B., Wu, Y.H., Lenbury, Y. Effect of Non-Newtonian Behaviour of Blood on Pulsatile Flows in Stenotic Arteries. International Journal of Biomedical Sciences. 1(1) (2006) 42-46.

60. Ruktamatakul, S., Bell, J., Lenbury, Y. Wave Front Solution Behavior for Continuous Neural Networks with Lateral-inhibition. IMA Journal of Applied Mathematics. 71 (2006) 544-564.

61. Lenbury, Y., Li, D., Rattanakul, C. Stability of Solution of Kuramoto-Sivashinsky-Korteweg-de Vries System. Computers and Mathematics with Applications. 52 (2006) 497-508.

62. Boondirek, A., Lenbury, Y., Wong-ekkabut, J., Triampo, W., Tang, I.M., Picha, P. A Stochastic Model of Cancer Growth with Immune Response. Journal of the Korean Physical Society. 49(4) (2006) 1652-1666.

63. Poltem, D., Wiwatanapataphee, B., Wu, Y.H., Lenbury, Y. A Numerical Study of Non-Newtonian Blood Flow in Stenosed Coronary Artery Bypass with Grafts. ANZIAM Journal. 47 (2006) C277-C291.

64. Wiwatanapataphee, B., Amornsamankul, S., Wu, Y.H., Lenbury, Y. Simulation of Transient Blood Flow through Stenosed Coronary Arteries. WSEAS Transactions on Fluid Mechanics. 1(7) (2006) 771-778.

65. Rattanakul, C., Lenbury, Y., Bell, J., Chatsudthipong, V., Traimpo, W., Crooke, P.S. Spatial Turing-type Pattern Formation in a Model of Signal Transduction Involving Membrane-based Receptors Coupled by G Proteins. Cancer Informatics. 2 (2006) 1-15.

66. Dumrongpokaphan, T., Ouncharoen, R., Lenbury, Y., Xu, Y. An Intracellular Delay-Differential Equation Model of the HIV Infection and Immune Control. Mathematical Modelling of Natural Phenomena. 2(1) (2007) 73-97.

67. Puttasontiphot, T., Lenbury, Y., Rattanakul, C., Rattanamongkonkul, S., Hotchkiss, J.R., Crooke, P.S. Dynamic Processes Permitting Stable Coexistence of Antimicrobial Resistant and Non-resistant Organisms in a Gastrointestinal Tract Model. ScienceAsia. 33(2) (2007) 197-206.

68. Wiwatanapataphee, B., Wu, Y.H., Lenbury, Y., Ruengsakulrach, P. Three-dimensional Simulation of Unsteady State Blood Flows in Stenotic Arteries. International Journal of Applied Mathematics. 20(4) (2007) 467-482.

69. Sungkaworn, T., Triampo, W., Nalakarn, P., Triampo, D., Tang, I.M., Lenbury, Y., Picha, P. The Effects of TiO2 Nanoparticles on Tumor Cell Colonies: Fractal Dimension and Morphological Properties. International Journal of Biomedical Sciences. 2(1) (2007) 67-74.

70. Triampo, D., Triampo, W., Tang, I.M., Lenbury, Y. The Stochastic Model of Non-equilibrium Mutagen-induced Alterations of DNA: Implication to Genetic Instability in Cancer. BioSystems. 90 (2007) 870-880.

71. Lenbury, Y. The Impact of Impact Factors on Mathematics. ScienceAsia. Special Issue (2007) 45-46.

72.Rattanakul, C., Lenbury, Y., Naowaprateep, W., Pansuwan, A. On Modeling and Control of Supply Chain via a Decoupling Feedback Law. East-West Journal of Mathematics. Special Volume (2007) 103-112.

73. Sarika, W., Chuedoung, M., Lenbury, Y., Rattanakul, C., Ruktamatakul, S., Kunphasuruang, W. A Delay-differential Equation Model of the Glucose-insulin Feedback Mechanism Involving b-Cells. East-West Journal of Mathematics. Special Volume (2007) 113-131.

74. Toghaw, P., Lenbury, Y., Kaneko, H. Hierarchical Modeling for Non-linear Head Equations over a Multilayered Plate. East-West Journal of Mathematics. Special Volume (2007) 133-148.

75. Puttasontiphot, T., Lenbury, Y., Rattanakul, C., Rattanamongkonkul, S., Hotchkiss, J.R., Crooke, P.S. Chaotic Dynamics in a Model of Competition of Antimicrobial Resistant and Non-resistant Organisms in Gastrointestinal Track. East-West Journal of Mathematics. Special Volume (2007) 149-158.

76. Giang, D.V., Lenbury, Y. Periodicity and Knots in Delay Models of Population Growth. Mathematical and Computer Modelling. 47 (2008) 259-265.

77. Junthorn, U., Unai, S., Kanthang, P., Ngamsaad, W., Modchang, C., Triampo, W., Krittanai, C., Triampo, D., Lenbury, Y. Single-Particle Tracking Method for Quantitative Tracking and Biophysical Studies of the MinE Protein. Journal of the Korean Physical Society. 52(3) (2008) 639-648.

78. Sarika, W., Lenbury, Y., Kumnungkit, K., Kunphasuruang, W. Modelling Glucose-Insulin Feedback Signal Interchanges Involving b-Cells with Delays. ScienceAsia. 34(1) (2008) 77-86.

79. Giang, D.V., Lenbury, Y., Gaetano, A.D., Palumbo, P. Delay Model of Glucose-Insulin Systems: Global Stability and Oscillated Solutions Conditional on Delays. Journal of Mathematical Analysis and Applications. 343(2) (2008) 996-1006.

80. Modchang, C., Triampo, W., Lenbury, Y. Mathematical Modeling and Application of Genetic Algorithm to Parameter Estimation in Signal Transduction: Trafficking and Promiscuous Coupling of G-protein Coupled Receptors. Computers in Biology and Medicine. 38 (2008) 574-582.

81. Kaneko, H., Bey, K.S., Lenbury, Y., Toghaw, P. Numerical Experiments using Hierarchical Finite Element Method for Nonlinear Heat Conduction in Plates. Applied Mathematics and Computation. 201 (2008) 414-430.

82. Niamsup, P., Lenbury, Y. The Asymptotic Stability of . Kyungpook Mathematical Journal. 48 (2008) 173-181.

83. Ruengsakulrach, P., Joshi, A.K., Fremes, S., Foster, S., Butany, J., Wiwatanapataphee, B., Lenbury, Y. Wall Shear Stress and Atherosclerosis: Numerical Blood Flow Simulations in the Mouse Aortic Arch. WSEAS Transactions on Fluid Mechanics. 3(2) (2008) 90-100.

84. Modchang, C., Triampo, W., Kangthang, P., Junthorn, U., Unai, S., Ngamsaad, W., Nuttawut, N., Triampo, D., Lenbury, Y. Stochastic Modeling of External Electric Field Effect on Escherichia Coli Min Protein Dynamics. Journal of the Korean Physical Society. 53(2) (2008) 851-862.

85. Thangthong, C., Tang, I.M., Lenbury, Y. Computational Identification of Rho-Independent Terminators in the Genomes of Mycobacterium Tuberculosis. Thai Journal of Mathematics. 6(1) (2008) 225-238.

86. Leelawattanachai, J., Triampo, W., Modchang, C., Triampo, D., Lenbury, Y. Modeling and Genetic Algorithm Optimization of Early Events in Signal Transduction via Dynamics of G-protein-Coupled Receptors: Internalization Consideration. Applied Mathematics and Computation. 207(2) (2009) 528-544.

87. Rattanakul, C., Lenbury, Y. A Mathematical Model of Prolactin Secretion: Effects of Dopamine and Thyrotropin-releasing Hormone. Mathematical and Computer Modelling. 49 (2009) 1883-1892.

88. Sriyab, S., Yojina, J., Ngamsaad, W., Kangthang, P., Modchang, C., Nuttavut, N., Lenbury, Y., Krittanai, C., Triampo, W. Mesoscale Modeling Technique for Studying the Dynamics Oscillation of Min Protein: Pattern Formation Analysis with Lattice Boltzmann Method. Computers in Biology and Medicine. 39(5) (2009) 412-424.

89. Rattanakul, C., Sungkaworn, T., Lenbury, Y., Chudoung, M., Chatsudthipong, V., Triampo, W., Novaprateep, B. Nonlinear Spatiotemporal Analysis and Modeling of Signal Transduction Pathways Involving G Protein Coupled Receptors. International Journal of Mathematical Models and Methods in Applied Sciences. 3(3) (2009) 219-229.

90. Chuedoung, M., Sarika, W., Lenbury, Y. Dynamical Analysis of a Nonlinear Model for Glucose-Insulin System Incorporating Delays and b-Cells Compartment. Journal of Nonlinear Analysis Series A: Theory and Methods. 71(12) (2009) e1048-e1058.

91. Bunwong, K, Sae-jie, W., Lenbury, Y. Modelling Nitrogen Dynamics of a Constructed Wetland: Nutrient Removal Process with Variable Yield. Journal of Nonlinear Analysis Series A: Theory and Methods. 71(12) (2009) e1538-e1546.

92. Rattanakul, C., Lenbury, Y., Wollkind, D.J., Chatsudthipong, V. Weakly Nonlinear Analysis of a Model of Signal Transduction Pathway Involving Membrane Based Receptors. Journal of Nonlinear Analysis Series A: Theory and Methods. 71(12) (2009) e1620-e1625.

93. Rattanakul, C., Sungkaworn, T., Lenbury, Y., Chudoung, M., Chatsudthipong, V., Triampo, W., Novaprateep, B. Modeling Signal Transduction Involving G Protein Coupled Receptors by Genetic Algorithm and Nonlinear Spatiotemporal Analysis. Recent Advances In Applied Mathematics And Computational And Information Sciences. (1) (2009) 39-44.

94. Wisitsorasak, A., Triampo, W., Triampo, D., Modchang, C., Lenbury, Y. Monte Carlo Cellular Automaton Simulation Heterodimerization Process Among Receptors. International Journal of Mathematical Models and Methods in Applied Sciences. 3(4) (2009) 119-125.

95. Wisitsorasak, A., Triampo, W., Triampo, D., Modchang, C., Lenbury, Y. Investigating the Heterodimerization Process among Receptors by Monte Carlo Cellular Automaton Simulation. Proceedings of the Applied Computing Conference 2009. (in ISI), Athens, Greece. (2009) 119-125.

96. Boonkorkuea, N., Lenbury, Y., Alvarado, F.J., Wollkind, D.J. Nonlinear Stability Analyses of Vegetative Pattern Formation in an Arid Environment. Journal of Biological Dynamics. 4(4) (2010) 346–380.

97. Yojina, J., Ngamsaad, W., Nuttavut, N., Triampo, D., Lenbury, Y., Triampo, W., Kanthang, P., Sriyab, S. More Realistic Model for Simulating Min Protein Dynamics: Lattice Boltzmann Method Incorporating the Role of Nucleoids. Mathematical and Computational Sciences. 6(4) (2010) 177-182.

98. Rattanakul, C., Sarika, W., Lenbury, Y., Tumrasvin, N. Simulations of Inventory Systems Subject to Different Strategies under Uncertain Demand and Lead-Time. East-West Journal of Mathematics. Special Volume (2010) 187-199.

99. Khompurngson, K., Novaprateep, B., Lenbury, Y. Learning the Value of a Function from Inaccurate Data. East-West Journal of Mathematics. Special Volume (2010) 128-138.

100. Moonchai, S., Lenbury, Y., Triampo, W. Multiple Latticed Cellular Automata: HIV Dynamics in Coupled Lymph Node and Peripheral Blood Compartments. Proceedings of the 10th WSEAS International Conference on Applied Computer Science. (in ISI), Iwate, Japan. (2010) 56-61.

101. Chudtong, M., Lenbury, Y., Ratanakul, C. Stability and Periodicity in a Model of Bone Remodeling under Impulsive PTH Control. Proceedings of the 10th WSEAS International Conference on Applied Computer Science. (in ISI), Iwate, Japan. (2010) 152-157.

102. Precharattana, M., Triampo, W., Modchang, C., Triampo, D., Lenbury, Y. Simulation of a Stochastic Cellular Automata HIV/AIDS Model for Investigation of Spatial Pattern Formation Mediated by CD4+ T Cells and HIV Dynamics. Proceedings of the 10th WSEAS International Conference on Applied Computer Science. (in ISI), Iwate, Japan. (2010) 375-380.

103. Rattanakul, C., Lenbury, Y., Kongson, J., Triampo, W. The Dynamics of a Nonlinear Model of Signal Transduction in Human under Impulsive Depressant Drug Treatment. Dynamic Systems and Applications. 19(3&4) (2010) 651-666.

104. Yojina, J., Ngamsaad, W., Nuttavut, N., Triampo, D., Lenbury, Y., Kanthang, P., Sriyab, S., Triampo, W. Investigating Flow Patterns in a Micro-channel with Complex Obstacles Using the Lattice Boltzmann Method. Journal of Mechanical Science and Technology. 24(10) (2010) 2025-2034.

105. Tikjha, W., Lenbury, Y., Lapierre, E. On the Global Character of the System of Piecewise Linear Difference Equations and Advances in Difference Equations. 2010 (2010) 1-14.

106. Kocharoen, K., Bell, J., Lenbury, Y. Dynamical Analysis of a Model of Skeletal Muscles in Myotonia and Periodic Paralysis. Journal Nonlinear Studies. 1(2) (2010) 1-20.

107. Moonchai, S., Lenbury, Y. Investigating Effects of Drug Therapy for HIV Infection by Double Compartments Cellular Automata Simulations. Recent Researches in Modern Medicine. (2011) 177-182.

108. Sirinukunwattana, K., Lenbury, Y., Tumrasvin, N. Drug Resistant and Wild-type Strains Interaction: Investigating Effects of Conversion Delays for Possible Control Strategies. Recent Researches in Modern Medicine. (2011) 183-188.

109. Lenbury, Y., Sarika, W., Anlamlert, W. Delay Mechanism Involving a Drug Target Candidate G Protein Coupled Receptors in Signal Pathways. Recent Researches in Modern Medicine. (2011) 218-223.

110. Sudprasert, K., Precharattana, M., Nuttavut, N., Triampo, D., Pattanasiri, B., Lenbury, Y., Triampo, W. Non-equilibrium Statistical Mechanics of a Driven Lattice Gas Model: Probability Function, FDT-violation, and Monte Carlo Simulations. International Journal of Computational and Mathematical Sciences. 5(2) (2011) 84-92.

111. Chudtong, M., Lenbury, Y., Ratanakul, C. Stability, Permanence and Positive Periodicity in a Model of Bone Remodeling under Impulsive PTH Control. International Journal of Mathematical Models and Methods in Applied Sciences. 5(1) (2011) 77-86.

112. Moonchai, S., Lenbury, Y., Triampo, W. Cellular Automata Simulation Modeling of HIV Infection in Lymph Node and Peripheral Blood Compartments. International Journal of Mathematics and Computers in Simulation. 4(4) (2011) 124-134.

113. Precharattana, M., Triampo, W., Modchang, C., Triampo, D., Lenbury, Y. Investigation of Spatial Pattern Formation Involving CD4+ T Cells in HIV/AIDS Dynamics by a Stochastic Cellular Automata Model. International Journal of Mathematics and Computers in Simulation. 4(4) (2011) 135-143.

114. Maneesawarng, C., Lenbury, Y. On Local Quadratic Subconvexity of Metrics and Rectiability of B´Ezier Curves in CAT(K) Spaces. Journal Nonlinear Studies. 18(3) (2011) 1-10.

115. Kiataramkul, C., Wake, G.C., Ben-Tal, A., Lenbury, Y. Optimal Nutritional Intake for Fetal Growth. Mathematical Biosciences and Engineering. 8(3) (2011) 723-732.

116. Modchang, C., Pimpunchat, B., Triampo, W., Triampo, D., Lenbury, Y. Modeling and Optimization of G-protein Coupled Receptor Signal Transduction. Far East Journal of Mathematical Sciences. 53(1) (2011) 17-33.

117. Moonchai, S., Lenbury, Y. Double Compartment CA Simulation of Drug Treatments Inhibiting HIV Growth and Replication at Various Stages of Life Cycle. International Journal of Mathematics and Computers in Simulation. 3(5) (2011) 232-241.

118. Sirinukunwattana, K., Lenbury, Y., Tumrasvin, N. Drug Resistant and Wild-type Strains Interaction: Investigating Effects of Conversion Delays for Possible Control Strategies. International Journal of Mathematical Models and Methods in Applied Sciences. 4(5) (2011) 830-838.

119. Sarika, W., Lenbury, Y., Anlamlert, W. Modeling and Analysis of the Signal Transduction Process with Delays Involving G Protein Coupled Receptors as a Drug Target. International Journal of Mathematical Models and Methods in Applied Sciences. 4(5) (2011) 839-847.

120. Kongson, J., Thompson, B., Lenbury, Y. Multiple Solutions for Systems of Differential Equations with Nonlinear Boundary Conditions. Journal Nonlinear Studies. 18(1) (2011) 27-50.

121. Prasertsang, P., Manoranjan, V., Lenbury, Y. Analytical Travelling Wave Solutions of a Dental Plaque Model with Nonlinear Sorption. Journal Nonlinear Studies. 18(1) (2011) 87-97.

122. Sungkaworn, T., Lenbury, Y., Chatsudthipong, V. Oxidative Stress Increases Angiotensin Receptor Type I Responsiveness by Increasing Receptor Degree of Aggregation Using Image Correlation Spectroscopy. Biochimica et Biophysica Acta-Biomembranes. 1808 (2011) 2496–2500.

123. Prathumwan, D., Lenbury, Y., Satiracoo, P. A Stochastic Differential Equation Model of the Signal Transduction Process Involving G-Protein Coupled Receptors. Recent Researches in Computational Intelligence and Information Security. (2011) 108-113.

124. Precharattana, M., Nokkeaw, A., Triampo, W., Triampo; D., Lenbury, Y. Stochastic Cellular Automata Model and Monte Carlo Simulations of Cd4+ T Cell Dynamics with a Proposed Alternative Leukapheresis Treatment for HIV/AIDS. Computers in Biology and Medicine. 41(7) (2011) 546-558.

125. Prathumwan, D., Lenbury, Y., Satiracoo, P., Rattanakul, C. Euler-Maruyama Approximation and Maximum Likelihood Estimator for a Stochastic Differential Equation Model of the Signal Transduction Process. International Journal of Mathematical Models and Methods in Applied Science. 6(2) (2012) 323-331.

126. Lueabunchong, S., Lenbury, Y., Panunzi, S., Matone, A. Statistical Evaluation of a Glucose/Insulin Nonlinear Differential Equation Model with Classical and Bayesian Procedures. Recent Researches in Applied Computers and Computational Science. (2012) 35-40.

127. Rattanakul, C., Lenbury, Y. Travelling Wave Solutions of a Nonlinear Model for Drug Release: Analytical Solution in Comparison to Numerical Approximation. Recent Researches In Applied Computers And Computational Science. (2012) 46-51.

128. Anlamlert, W., Lenbury, Y., Sarika, W. Signal Transduction Process Subject to Response Delays: Stability and Oscillations. Recent Researches in Applied Computers and Computational Science. (2012) 90-95.

129. Deb, U.K., Chayantrakom, K., Lenbury, Y., Wiwatanapataphee, B. Numerical Simulation of Two-phase Laminar Flow for CO2 and Microalgae Suspension in the HLTP. Latest Advances in Systems Science and Computational Intelligence. (2012) 53-58.

130. Toghaw, P., Matone, A., Lenbury, Y., De Gaetano, A. Bariatric Surgery and T2dm Improvement Mechanisms: a Mathematical Model. Theoretical Biology and Medical Modelling. 9(16) (2012) 1-29.

131. Lueabunchong, S., Lenbury, Y., Panunzi, S., Matone, A. Comparison of Markov Chain Monte Carlo and Generalized Least Square Methods on a Model of Glucose/Insulin Dynamics with GLP1-DPP4 Interaction. International Journal of Mathematics and Computers in Simulation. 6(3) (2012) 341-350.

132. Rattanakul, C., Lenbury, Y. Stability Analysis and Analytical Solution of a Nonlinear Model for Controlled Drug Release: Travelling Wave Fronts. International Journal of Mathematics and Computers in Simulation. 6(3) (2012) 351-359.

133. Anlamlert, W., Lenbury, Y., Sarika, W. Stability and Bifurcation Analysis of a Model for the Signal Transduction Process with a Signal Amplification Delay. International Journal of Mathematical Models and Methods in Applied Sciences. 6(5) (2012) 670-678.

134. Chadsuthi, S., Modchang, C., Lenbury, Y., Iamsirithaworn, S., Triampo, W. Modeling Seasonal Leptospirosis Transmission and Its Association with Rainfall and Temperature in Thailand Using Time-Series and ARIMAX Analyses. Asian Pacific Journal of Tropical Medicine. 5(7) (2012) 539-546.

135. Modchang, C., Pimpunchat, B., Lenbury, Y., Triampo, W. Approximate Solutions and Parameter Estimations of G-Protein Coupled Receptor Signal Transduction Model. Far East Journal of Mathematical Sciences. Special Volume (1) (2013) 21-39.

136. Moonchai, S., Lenbury, Y. Double Compartment Cellular Automata Model and Simulation of HIV Proliferation under Interrupted Plasmapheresis Treatment. Recent Advances in Mathematics, WSEAS Proceedings. (2013) 76-78.

137. Tikjha, W., Lenbury, Y., Lapierre, E.G. Prime Period-6 Solutions of a Certain Piecewise Linear System of Difference Equations. Recent Advances in Mathematics, WSEAS Proceedings. (2013) 79-84.

138. Juagwon, K., Lenbury, Y., De Gaetano, A., Palumbo, P. Reconstruction of Insulin Secretion under the Effects of Hepatic Extraction during OGTT: A Modelling and Convolution Approach. Recent Advances in Mathematics, WSEAS Proceedings. (2013) 85-90.

139. Satiracoo, P., Pokethitiyook, P., Lenbury, Y., Potivichayanon, S., Agarwal, R.P. Development and Experimental Validation of a Model for Biofiltration for Hydrogen Sulfide Removal: Effect of Biofilm Development. Recent Advances in Mathematics, WSEAS Proceedings. (2013) 91-96.

140. Rattanakul, C., Lenbury, Y. Different Travelling Wave Solutions for Controlled Drug Release Model in Planar Geometry. Recent Advances in Automatic Control, Modelling and Simulation, WSEAS Proceedings. (2013) 49-54.

141. Ouncharoen, R., Intawichai, S., Dumrongpokaphan, T., Lenbury, Y. Limit Cycles and Continuous Filtering in HIV Model with Time Delay. Recent Advances in Automatic Control, Modelling and Simulation, WSEAS Proceedings. (2013) 20-25.

142. Novaprateep, B., Khompurngson, K., Lenbury, Y., Siangdee, N. Some Remarks on Hide with Square Loss. Recent Advances in Automatic Control, Modelling and Simulation, WSEAS Proceedings. (2013) 75-78.

143. Moonchai, S., Lenbury, Y. Cellular Automata Simulation of Interrupted Plasma Aphaeresis on AIDS Patients: Investigating Effects of Different Clearance Rate. International Journal of Mathematics and Computers in Simulation. 7(3) (2013) 294-303.

144. Juagwon, K., Lenbury, Y., De Gaetano, A., Palumbo, P. Application of Modified Watanabe’s Approach for Reconstruction of Insulin Secretion Rate During OGTT Under Non-constant Fraction of Hepatic Insulin Extraction. International Journal of Mathematics and Computers in Simulation. 7(3) (2013) 304-313.

145. Tikjha, W., Lenbury, Y., Lapierre, E.G. Equilibriums and Periodic Solutions of Related Systems of Piecewise Linear Difference Equations. International Journal of Mathematics and Computers in Simulation. 7(3) (2013) 323-335.

146. Chayapham, P., Lenbury, Y. Dynamical Analysis of a Nutrient Limited Delay Model of Drug Resistance. Recent Advances in Finite Differences and Applied & Computational Mathematics, WSEAS Proceedings. (2013) 58-63.

147. Chayapham, P., Lenbury, Y. Three Component Delayed Model of Drug Resistance in Human under Pulsatile Drug Treatment. Recent Advances in Finite Differences and Applied & Computational Mathematics, WSEAS Proceedings. (2013) 76-81.

148. Ouncharoen, R., Daengkongkho, S., Dumrongpokaphan, T., Lenbury, Y. Local Stability of Delayed SIR Model with Nonlinear Incidence Rate and Total Population Variation. Recent Advances in Finite Differences and Applied & Computational Mathematics, WSEAS Proceedings. (2013) 88-93.

149. Toghaw, P., Lenbury, Y. Analysis of the Glucose-Insulin-Incretin Model for Bariatric Surgery and T2DM Improvement Mechanisms. Recent Advances in Finite Differences and Applied & Computational Mathematics, WSEAS Proceedings. (2013) 94-98.

150. Ouncharoen, R., Dumrongpokaphan, T., Lenbury, Y. Distributed Delay in an HIV Model. Recent Advances in Finite Differences and Applied & Computational Mathematics, WSEAS Proceedings. (2013) 106-111.

151. Phewchean, N., WU, Y.H., Lenbury, Y. Option Pricing with Stochastic Volatility and Market Price of Risk: An Analytic Approach. Recent Advances in Finite Differences and Applied & Computational Mathematics, WSEAS Proceedings. (2013) 134-139.

152. Satiracoo, P., Pokethitiyook, P., Lenbury, Y., Potivichayanon, S., Agarwal, R.P. Development, Experimental Validation and Sensitivity Analysis of A Mathematical Model of Biofiltration for Hydrogen Sulfide Removal. International Journal of Mathematical Models and Methods in Applied Sciences. 7(6) (2013) 657-665.

153. Rattanakul, C., Lenbury, Y. Some New Solutions of a Reaction Diffusion Model for Controlled Drug Release using Travelling Wave Coordinate Transformation. International Journal of Biology and Biomedical Engineering. 7(3) (2013) 98-107.

154. Ouncharoen, R., Intawichai, S., Dumrongpokaphan, T., Lenbury, Y. A Mathematical Model for HIV Apheresis. International Journal of Mathematical Models and Methods in Applied Sciences. 7(9) (2013) 810-819.

155. Khompurngson, K., Novaprateep, B., Lenbury, Y. Some Remarks on Hypercircle Inequality for Inaccurate Data and Its Application. International Journal of Mathematical Models and Methods in Applied Sciences. 7(10) (2013) 880-887.

156. Chayapham, P., Lenbury, Y. Stability and Persistence of Delayed Resistant and Sensitive Bacterial Strains Interaction under Impulsive Drug Treatment. International Journal of Mathematics and Computers in Simulation. 7(6) (2013) 475-484.

157. Ouncharoen, R., Daengkongkho, S., Dumrongpokaphan, T., Lenbury, Y. Delay SIR Model with Nonlinear Incident Rate and Varying Total Population. International Journal of Mathematics and Computers in Simulation. 7(4) (2013) 369-378.

158. Toghaw, P., Lenbury, Y. The Glucose-Insulin-Incretin Model for Bariatric Surgery and T2DM Improvement Mechanisms with Two Delays. International Journal of Mathematics and Computers in Simulation. 7(6) (2013) 439-447.

159. Ouncharoen, R., Dumrongpokaphan, T., Lenbury, Y. Volterra Integral Equations in an HIV Model. International Journal of Biology and Biomedical Engineering. 7(4) (2013) 176-183.

160. Phewchean, N., WU, Y.H., Lenbury, Y. Option Pricing Under Stochastic Environment of Volatility and Market Price of Risk. International Journal of Mathematical Models and Methods in Applied Sciences. 7(11) (2013) 927-935.

161. Lenbury, Y., Rattanakul, C. Cellular Automata Simulation of Signal Transduction Mediated by Healthy and Calcium-sensing Receptors. Mathematical and Computational Methods in Science and Engineering, WSEAS Proceedings. (2014) 92-98.

162. Thiuthad, P., Manoranjan, V.S., Lenbury, Y. Analytical Solutions for an Avian Influenza Epidemic Model Incorporating Spatial Spread as a Diffusive Process. East Asian Journal on Applied Mathematics. 5(2) (2015) 150-159.

163. Tikjha, W., Lapierre, E.G., Lenbury, Y. Periodic Solutions of a Generalized System of Piecewise Linear Difference Equations. Advances in Difference Equations. 248 (2015) 1-15.

164. Tikjha, W., Jintanasonti, S., Lenbury, Y. Periodic Behavior of Solutions of a Certain Piecewise Linear System of Difference Equations. Thai Journal of Mathematics. 13(1) (2015) 227–236.

165. Anlamlert, W., Lenbury, Y., Bell, J. Stability Analysis of a Mathematical Model of Atherosclerotic Plaque Development: Fibrous Cap Formation and Degradation. Kasetsart Journal-Natural Sciences. 49 (2015) 971-982.

166. Rattanakul, C., Lenbury, Y. Monte Carlo Cellular Automata Simulation of Receptor Trafficking in Cell Signal Transduction: Tracking Dimer and Oligomer Formation. Kasetsart Journal-Natural Sciences. 49 (2015) 1036-1046.

167. Moonchai, S., Lenbury, Y. Investigating Combined Drug and Plasma Apheresis Therapy of HIV Infection by Double Compartment Cellular Automata Simulation. International Journal of Computer Theory and Engineering. 8(3) (2016) 190-197.

168. Yokrattanasak, J., De Gaetano, A., Panunzi, S., Satiracoo, P., Lawton, W.M., Lenbury, Y. A Simple, Realistic Stochastic Model of Gastric Emptying. PLOS ONE. 11(4) (2016) 1-15.

169. Rattanakul, C., Lenbury, Y. Cellular Automata Simulation of Signal Transduction and Calcium Dynamics with Healthy and Faulty Receptor Trafficking. 2016 IEEE International Systems Conference Proceedings. (2016) 147-154.

170. Rattanakul, C., Lenbury, Y. Modeling Calcium Signaling by Cellular Automata Simulation Incorporating Endocrine Regulation and Trafficking in Various Types of Receptors. Advances in Difference Equations. 162 (2017) 1-14.

171. Anlamlert, W., Lenbury, Y., Bell, J. Modeling Fibrous Cap Formation in Atherosclerotic Plaque Development: Stability and Oscillatory Behavior. Advances in Difference Equations. 195 (2017) 1-15.

172. Suksamran, J., Lenbury, Y., Satiracoo, P., Rattanakul, C. A Model for Porcine Reproductive and Respiratory Syndrome with Time Dependent Infection Rate: Travelling Wave Solution. Advances in Difference Equations. 215 (2017) 1-11.

173. Chuchalerm, N., Lenbury, Y., Matkao, P. Mathematical Modeling of Porcine Reproductive and Respiratory Syndrome Incorporation Decaying Infectiousness and Periodic Inoculation. Southeast Asian Journal of Sciences. 5(1) (2017) 9-21.

174. Matkao, P., Lenbury., Y., Rattanakul, C., Chuchalerm, N., Modeling Porcine Reproductive and Respiratory Syndrome Incorporating Decaying Infectiousness and Delayed Infection Incidences. Southeast Asian Journal of Sciences. 5(1) (2017) 32-46.

175. Nokkaew, A., Modchang, C., Amornsamankul, S., Lenbury, Y., Pimpunchat, B., Triampo, W. Mathematical modeling of infectious disease transmission in macroalgae. Advances in Difference Equations. 288 (2017) 1-8.

## Books / chapters

1. Lenbury, Y., Maneesawarng, C. (1994) Parameter Space Classification of Solutions to a Model for the Cortisol Secretion System in Normal Man, in Biomedical and Life Physics. Dhanjoo N. Ghista (Ed.) (Vieweg Publishing House, Weisbaden, Germany).

2. Lenbury, Y., Sanh, N.V., Wu, Y.H., Wiwatanapataphee, B. (2003) Computational Mathematics and Modeling. A special volume published by East-West Journal of Mathematics. 329 pages.

3. Lenbury, Y., Sanh, N.V. (2005) Contributions in Mathematics and Applications. A special volume published by East-West Journal of Mathematics. 267 pages.

4. Crooke, P.S., Rattanamongkonkul, S., Lenbury, Y., Hotchkiss, J.R. (2007) Mathematical Modeling of Non-invasive Pressure Support Ventilation: Investigation of Tidal Volume Instability, in Quantitative Medical Data Analysis Using Mathematical Tools and Statistical Techniques. (World Scientific Publishing Co., New Jersey, USA). 277-296.

5. Lenbury, Y., Sanh, N.V. Contributions in Mathematics and Applications II. A special volume 2007 published by East-West Journal of Mathematics. 259 pages.

6. Lenbury, Y., Sanh, N.V. Contributions in Mathematics and Applications III. A special volume 2010 published by East-West Journal of Mathematics. 344 pages.

7.Crooke, P., Hotchkiss, J., Lenbury, Y., McKinney, B. (2012) Mathematical Modeling of Patient Care, in Computational and Mathematical Methods in Medicine. 2 pages. (Hindawi Publishing Corporation).

## Research work Presented in International Conferences

1. Lenbury, Y., Pacheenburawana, P. Modelling Plasma Cortisol Secretion System in normal Man. 18th Congress on Science and Technology of Thailand. Bangkok, Thailand. 27-29 Oct., 1992. 678-679.

2. Lenbury, Y., Siengsanan, M. Dynamics of a Bio-reactor Where One Microbial Population Feeds on Another As Well As the Limiting Nutrient: a Model for the Activated Process. The Second Princess Chularbhorn Science Congress. Bangkok, Thailand. 2-6 Nov., 1992. 166.

3. Lenbury, Y., Maneesawarng, C. Parameter Space Classification of Solutions to a Model for the Cortisol Secretion System in Normal Man. The 2nd Gauss Symposium: International Conference in Medical Physics and Mathematics. Munich, Germany. 2-6 Aug., 1993. 56.

4. Lenbury, Y. Identification of Low-frequency Cycles with Bursts of High-frequency Oscillations in a Food Web. Fourth Autumn Course on Mathematical Ecology. Trieste, Italy. 24 Oct. - 11 Nov., 1994

5. Lenbury, Y. Singular Perturbation Analysis of a Product Inhibition Model for Continuous Bio-Reactors. International Conference on Dynamical Systems and Differential Equations. Southwest Missouri State University, U.S.A. 29 May - 1 June 1994

6. Lenbury, Y. Singular Perturbation Analysis of a Model for the Effect of Toxicant on a Single-Species. International Conference on Nonlinear Systems in Biology and Medicine. Veszprem, Hungary. 17-20 July 1996

7. Lenbury, Y. How can Nonlinear Dynamics Elucidate Mechanisms Relevant to Issues of Environmental Management and Global Change? The Second Asean Mathematical Conference. Suranaree University of Technology. 17-20 Oct., 1996

8. Lenbury, Y. Rhythmogenesis and Singular Perturbation Analysis. International Conference on Trends in Approximation Theory. Vanderbilt University, U.S.A. 17-20 May 2000

9. Lenbury, Y. Cascade Mechanism in a Self-regulatory Endocrine System: Modelling Pulsatile Hormone Secretion. The International Conference on Bioinformatics 2002. Bangkok, Thailand. 6-8 February 2002.

10. Chasreechai, S., Suwanwongse, S. and Lenbury, Y. Modelling the impact of AIDS campaigns on the incidence of AIDS in the Thai province of Nakorn Pathom. The International Conference on Computational Mathematics and Modeling. Bangkok, Thailand. 22-24 May 2002

11. Ruktamatakul, S., Lenbury, Y. Modeling Blood Glucose Control in Diabetes Patients: Responses to Insulin Injection Conditions. The International Conference on Computational Mathematics and Modeling. Bangkok, Thailand. 22-24 May 2002

12. Kunpasuruang, W., Lenbury, Y. Modelling Pulsatile Releases of LH: Responses to Injection of GnRH. The International Conference on Computational Mathematics and Modeling. Bangkok, Thailand. 22-24 May 2002

13. Dumrongpokaphan, T., Lenbury, Y. and Crooke, P.S. Separation Conditions for Higher Order Cascade Systems by Pivoting on the Slow Components. The International Conference on Computational Mathematics and Modeling. Bangkok, Thailand. 22-24 May 2002.

14. Dumrongpokaphan, T., Lenbury, Y. Identification of Limit Cycle Behavior in Higher Dimensional Cascade Systems by Separation Conditions: Application to Communities Coupled by Migration. International Conference on Dynamical Methods for Differential Equations. Valladolid, Spain. 4-7 September 2002

15. Ruengsakulrach, P., Wiwatanapataphee, B., Lenbury, Y. Mathematical Modeling of T and Y Grafts Anastomosis in Coronary Artery Bypass Grafting. The Second International Symposium on Computing Science. Guangzhou, China. 20-23 December 2002

16. Tiensuwan, M., Yimprayoon, P., Lenbury, Y. Log-linear Models of Cancer Patients: A Case Study of the National Cancer Institute of Thailand. XXII International Biometric Conference in parallel with the Australia Statistical Conference. Queensland, Australia. 11-16 July 2004.

17. Ruengsakulrach, P., Joshi, A.K., Fermes, S., Courtman, D., James, D.F., Foster, S., Wiwatanapataphee, B., Lenbury, Y. Steady and Unsteady Blood Flow Simulations in the Mouse Aortic Arch. The 12th Biennial Computational Techniques and Applications Conference. Melbourne, Australia. 27 September - 1 October 2004.

18. Kongsorn, J., Niamsup, P., Lenbury, Y. On the Recursive Sequence . International Conference in Discrete Mathematics with Application to Information Science and Related Topics. Chongqing, China. 20-24 October 2004.

19. Lawton, W., Lenbury, Y. Interpolatory Properties of Trajectories in Lie Groups. International Conference on Harmonic Analysis and Its Applications. Osaka, Japan. 15-17 November 2004.

20. Lenbury, Y., Pansuwan, A., Rattanakul, C., Wollkind, D.J., Harrison, L., Rajapakse, I. Study of Pattern Selection on Ion-sputtered Surfaces by Weakly Nonlinear Stability Analysis. Asian Mathematical Conference 2005. National University of Singapore, Singapore. 20-23 July 2005.

21. Giang, D.V., Lenbury, Y., Seidman, T.I. Nonlinear Delay Differential Equations for Population Models: Asymptotic Stability and Nontrivial Periodicity. Conference on Differential & Difference Equations and Applications. Florida Institute of Technology, USA. 1-5 August 2005.

22. Giang, D.V., Lenbury, Y., Seidman, T.I. Nonlinear Delay Differential Equations for Population Models: Asymptotic Stability and Nontrivial Periodicity. International Conference in Mathematics and Applications. Bangkok, Thailand. 15-17 December 2005.

23. Tiensuwan, M., Yimprayoon, P., Ratanapornpong, S., Lenbury, Y. Application of Log-linear and Logistic Models to Cancer Patients: A Case Study of data from the National Cancer Institute of Thailand.International Conference in Mathematics and Applications. Bangkok, Thailand. 15-17 December 2005.

24. Ngamsaad, W., Triampo, W., Kanthang, P., Tang, I.M., Nuttawut, N., Modchang, C., Lenbury, Y. A Lattice Boltzmann Method for Modeling Min Proteins Oscillation in Escherichia coli. International Conference in Mathematics and Applications. Bangkok, Thailand. 15-17 December 2005.

25. Wiwatanapataphee, B., Poltem, D., Wu, Y.H., Lenbury, Y. Unsteady State Blood Flow in Stenosed Coronary Artery Bypass Grafts. International Conference in Mathematics and Applications. Bangkok, Thailand. 15-17 December 2005.

26. Amornsamankul, S., Wiwatanapataphee, B., Wu, Y.H., Lenbury, Y. Simulation of Blood Flow in the Lumen and Porous Medium Regions of Stenotic Arteries.International Conference in Mathematics and Applications. Bangkok, Thailand. 15-17 December 2005.

27. Lenbury, Y., Novaprateep, V., Pansuwan, A. On Modelling and Control of Supply Chain via a Decoupling Feedback Law. International Workshop on Successful Strategies in Supply Chain Management. Kowloon, Hong Kong. 5-6 January 2006.

28. Amornsamankul, S., Wiwatanapataphee, B., Wu, Y-H., Lenbury, Y. Effect of Non-Newtonian Behaviour of Blood on Pulsatile Flows in Stenotic Arteries. The 13th Biennial Computational Techniques and Applications Conference. Townsville, Australia. 2-5 July 2006.

29. Wiwatanapataphee, B., Amornsamankul, S., Wu, Y.H., Lenbury, Y. Non-newtonian Blood Flow through Stenosed Coronary Arteries. The 2nd WSEAS International Conference on Applied and Theoretical Mechanics. Venice, Italy. 20-22 November 2006.

30. Toghaw, P., Lenbury, Y., Kaneko, H. A Hierarchical Model for Heat Transfer in Built-up Structures.The 2nd International Conference on Asian Simulation and Modeling 2007. Chiang Mai, Thailand. 9-11 January 2007.

31. Puttasontiphota, T., Lenbury, Y., Rattanakul, C., Rattanamongkonkul, S., Hotchkiss, J.R., Crooke, P.S. Dynamic Modelling of a Continuous Process Permitting Stable Coexistance of Sensitive Microbial Population and Resistant Microbial Population in a Gastrointestinal Tract.The 2nd International Conference on Asian Simulation and Modeling 2007. Chiang Mai, Thailand. 9-11 January 2007.

32. Ruktamatakul, S., Lenbury, Y., Bell, J. Traveling Wave Front Solutions in a Neuronal Model with Lateral-inhibition Type of Connection Function.The 2nd International Conference on Asian Simulation and Modeling 2007. Chiang Mai, Thailand. 9-11 January 2007.

33.Amornsamankul, S., Wiwatanapataphee, B., Wu, Y.H., Lenbury, Y. Numerical Simulation of Blood Flow in the Stenosed Coronary Artery.The 2nd International Conference on Asian Simulation and Modeling 2007. Chiang Mai, Thailand. 9-11 January 2007.

34.Giang, D.V., Lenbury, Y., Seidman, T.I. An Application of Browder Fixed Point Theorem and Knots Theory to Study Periodicity in a Delay Population Model. The 8th International Conference on Fixed Point Theory and Its Applications. Chiang Mai University, Thailand. 16-22 July 2007.

35.Lenbury, Y., Sarika, W., Giang, D.V., De Gaetano, A., Raktamatakul, S. Modeling and Control of Glucose-Insulin System: Past, Current, and Future Activities. International Conference in Mathematics and Applications 2007. Bangkok, Thailand. 15-17 August 2007.

36.Toghaw, P., Lenbury, Y., Kaneko, H. Hierarchical Finite Element Method for Nonlinear Heat Conduction Problems. International Conference in Mathematics and Applications 2007. Bangkok, Thailand. 15-17 August 2007.

37.Sarika, W., Lenbury, Y. A Delay-Differential Equation Model of the Glucose-Insulin Feedback Mechanism Involving ß-Cells. International Conference in Mathematics and Applications 2007. Bangkok, Thailand. 15-17 August 2007.

38.Puttasontiphot, T., Lenbury, Y., Rattanakul, C., Rattanamongkonkul, S., Hotchkiss, J.R, Crooke, P.S. Modeling of Coexistence of Antimicrobial Resistant and Non-Resistant Organisms in a Gastrointestinal Tract. International Conference in Mathematics and Applications 2007. Bangkok, Thailand. 15-17 August 2007.

39.Rattanakul, C., Lenbury, Y., Naowaprateep, W., Pansuwan, A. On Modeling and Control of Supply Chain via a Decoupling Feedback Law. International Conference in Mathematics and Applications 2007. Bangkok, Thailand. 15-17 August 2007.

40.Leelawattanachai, J., Triampo, W., Modchang, C., Lenbury, Y. Modeling of Signal Transduction via Dynamics of G-Protein-Coupled Receptors: Internalization Consideration. International Conference in Mathematics and Applications 2007. Bangkok, Thailand. 15-17 August 2007.

41.Modchang, C., Triampo, W., Lenbury, Y. Mathematical Model Investigations of Signal Transduction via G-Protein Coupled Receptors: Trafficking and Promiscuous Coupling of Receptors. International Conference in Mathematics and Applications 2007. Bangkok, Thailand. 15-17 August 2007.

42.Ruengsakulrach, P., Joshi, A.K., Fremes, S., Butany, J., Foster, S., Wiwatanapataphee, B., Lenbury, Y. Wall Shear Stress and Atherosclerosis: Numerical Blood Flow Simulations in the Mouse Aortic Arch. The 12th WSEAS International Conference on Applied Mathematics. Cairo, Egypt. 29-31 December, 2007.

43.Rattanakul, C., Lenbury, Y., Wollkind, D.J., Chatsudthipong, V. Weakly Nonlinear Analysis of a Model of Signal Transduction Pathway Involving Membrane Based Recptors. The Fifth World Congress of Nonlinear Analysts-2008. Orlando, Florida, USA. 2-9 July 2008.

44.Chuedoung, M., Sarika, W., Lenbury, Y. Dynamical Analysis of a Nonlinear Model for Glucose-Insulin System Incorporating Delays and -Cells Compartment. The Fifth World Congress of Nonlinear Analysts-2008. Orlando, Florida, USA. 2-9 July 2008.

45. Lenbury, Y., Giang, D.V., Rattanakul, C. Modeling Delay Mechanisms in Human Physiology and Biology. The NIMS 2008 Conference & The 4th East AsiaSIAM Conference. Daejeon, Republic of Korea. 10-12 October 2008

46. Thompson, B., Kongson, J., Lenbury, Y. Multiple Solutions for Systems of Differential Equations with Nonlinear Boundary Conditions. 7th joint Australia-New Zealand Mathematics Convention. University of Canterbury, New Zealand. 7-12 December 2008.

47. Sarika, W., Lenbury, Y., Rattanakul, C. A Joint Replenishment Inventory System upon Uncertain Demand and Lead-time. The Second International Workshop on Successful Strategies in Supply Chain Management. The Hong Kong Polytechnic University, Hong Kong. 7-11 January 2009.

48. Sarika, W., Lenbury, Y., Rattanakul, C. Simulation of an Inventory System allowing Joint Replenishment from Secondary Supplier upon Depleted Stock. The 3rd International Conference on Asian Simulation and Modeling 2009. Bangkok, Thailand. 22-23 January 2009.

49. Prasertsang, P., Manoranjan,V.S., Lenbury, Y. Traveling Wave Solutions of a Dental-Plaque Model with Non-linear Sorption. The 3rd International Conference on Asian Simulation and Modeling 2009. Bangkok, Thailand. 22-23 January 2009.

50. Kocharoen, K., Bell, J., Lenbury, Y. Application of Singular Perturbation Technique to a Model Skeletal Muscle in Myotonia and Periodic Paralysis Incorporating Membrane Potential Dynamics. The 3rd International Conference on Asian Simulation and Modeling 2009. Bangkok, Thailand. 22-23 January 2009.

51. Boonkorkuea, N., Wollkind, D.J., Alvarado, F.J., Lenbury, Y. Investigating Spatially Distributive Structures of Vegetation in Arid Environment by Modelling and Nonlinear Stability Analyses. The 3rd International Conference on Asian Simulation and Modeling 2009. Bangkok, Thailand. 22-23 January 2009.

52. Rattanakul, C., Chudoung, M., Lenbury, Y., Chatsudthipong, V., Triampo, W., Novaprateep, B., Sungkaworn, T. Modeling Signal Transduction Involving G Protein Coupled Receptors by Genetic Algorithm and Nonlinear Spatiotemporal Analysis. 15th American Conference on Applied Mathematics. Texas, USA. 30 April – 2 May 2009.

53. Lenbury, Y. Permanence, Stability, and Hopf Bifurcation in Impulsive Nonlinear Model for the Signal Transduction Process. 5th Asian Mathematical Conference. Kuala Lumpur, Malasia. 22-26 June 2009.

54. Lenbury, Y., Triampo, W. Monte Carlo Cellular Automaton Simulation in Biomedical Science: Cancer Research and Min Protein Dynamics. Applied Computing Conference. Athens, Greece. 26-28 September 2009.

55. Juagwon, K., Palumbo, P., De Gaetano, A, Lenbury, Y. A Model Simulation Study of Deconvolution for the Reconstruction of Insulin Secretion. Applied Computing Conference. Athens, Greece. 26-28 September 2009.

56. Kiataramkul, C., Wake, G.C., Ben-Tal, A., Lenbury, Y. Modeling Targeted Fetal Growth in Different Nutritional Environments. International Conference in Mathematics and Applications 2009. Bangkok, Thailand. 17-19 December 2009.

57. Kocharoen, K., Bell, J., Lenbury, Y. Dynamical Behavior of Solutions to a Modified Hodgkin Huxley Model for Skeletal Muscles. International Conference in Mathematics and Applications 2009. Bangkok, Thailand. 17-19 December 2009.

58. Lueabunchong, S., Panunzi, S., Lenbury, Y. Statistical Evaluation of a Glucose/Insulin Nonlinear Differential Model with Classical and Bayesian Procedures. International Conference in Mathematics and Applications 2009. Bangkok, Thailand. 17-19 December 2009.

59. Modchang, C., Triampo, W., Triampo, D., Lenbury, Y. Mathematical Modeling and Genetic Algorithm Optimization of G-Protein Coupled Receptor Signal Transduction. International Conference in Mathematics and Applications 2009. Bangkok, Thailand. 17-19 December 2009.

60. Rattanakul, C., Sarika, W., Lenbury, Y. Simulations of Inventory Systems Subject to Different Strategies under Uncertain Demand and Lead-Time. International Conference in Mathematics and Applications 2009. Bangkok, Thailand. 17-19 December 2009.

61. Tikjha, W., Ladas, G., Lenbury, Y. On the Global Character of Some Difference Equation and Some System of Difference Equation. International Conference in Mathematics and Applications 2009. Bangkok, Thailand. 17-19 December 2009.

62. Novaprateep, B., Khompurngson, K., Lenbury, Y. Learning the Value of a Function from Inaccurate Data. International Conference in Mathematics and Applications 2009. Bangkok, Thailand. 17-19 December 2009.

63. Moonchai, S., Lenbury, Y., Triampo, W. Multiple Latticed Cellular Automata: HIV Dynamics in Coupled Lymph Node and Peripheral Blood Compartments. The 10th International Conference on Applied Computer Science. Iwate, Japan, 4-6 October 2010.

64. Chudtong, M., Lenbury, Y., Ratanakul, C. Stability and Periodicity in a Model of Bone Remodeling under Impulsive PTH Control. The 10th International Conference on Applied Computer Science. Iwate, Japan, 4-6 October 2010.

65. Precharattana, M., Triampo, W., Modchang, C., Triampo, D., Lenbury, Y. Simulation of a Stochastic Cellular Automata HIV/AIDS Model for Investigation of Spatial Pattern Formation Mediated by CD4+ T Cells and HIV Dynamics. The 10th International Conference on Applied Computer Science. Iwate, Japan, 4-6 October 2010.

66. Moonchai, S., Lenbury, Y., Investigating Effects of Drug Therapy for HIV Infection by Double Compartments Cellular Automata Simulations. 2nd International Conference on Medical Pharmacology. University of Cambridge, UK, 23-25 February 2011.

67. Sirinukunwattana, K., Lenbury, Y., Tumrasvin, N. Drug Resistant and Wild-Type Strains Interaction: Investigating Effects of Conversion Delays for Possible Control Strategies. 2nd International Conference on Medical Pharmacology. University of Cambridge, UK, 23-25 February 2011.

68. Sarika, W., Lenbury, Y., Anlamlert, W. Delay Mechanism Involving a Drug Target Candidate G Protein Coupled Receptors in Signal Pathways. 2nd International Conference on Medical Pharmacology. University of Cambridge, UK, 23-25 February 2011.

69. Lenbury, Y. Dynamical Modeling of Delay Mechanisms in Nonlinear Systems in Human Physiology: Delineating Disease and Health. The 7th IMT-GT International Conference on Mathematics, Statistics and its Applications. Bangkok, Thailand. 21-23 July 2011.

70. Kiataramkul, C., Wake, G.C., Ben-Tal, A., Lenbury, Y. Increasing Economic Output of Animal Farms by Optimal Control: Nutritional Strategies for Mammalian Fetal Development. 2011 Las Vegas International Academic Conference. Nevada, USA. 10-12 October 2011.

71. Anlamlert, W., Lenbury, Y., Sarika, W. Human Signal Transduction Process in Health and Disease: A Modeling Study. 2011 Las Vegas International Academic Conference. Nevada, USA. 10-12 October 2011.

72. Prathumwan, D., Lenbury, Y., Satiracoo, P. A Stochastic Differential Equation Model of the Signal Transduction Process Involving G-Protein Coupled Receptors. 10th WSEAS International Conference on Computational Intelligence, Man-Machine Systems and Cybernetics. Jakarta, Indonesia. 1-3 December 2011.

73. Lenbury, Y. Recent Research Results on Deterministic and Stochastic Modelling in Bio-Medical Science. Franco-Thai Symposium. Bangkok, Thailand. 1-3 February 2012.

74. Lueabunchong, S., Lenbury, Y., Panunzi, S., Matone, A. Statistical Evaluation of a Glucose/Insulin Nonlinear Differential Equation Model with Classical and Bayesian Procedures. 11th WSEAS International Conference on Applied Computer and Applied Computational Science. Rovaniemi, Finland. 18-20 April 2012.

75. Rattanakul, C., Lenbury, Y. Travelling Wave Solutions of a Nonlinear Model for Drug Release: Analytical Solution in Comparison to Numerical Approximation. 11th WSEAS International Conference on Applied Computer and Applied Computational Science. Rovaniemi, Finland. 18-20 April 2012.

76. Anlamlert, W., Lenbury, Y., Sarika, W. Signal Transduction Process Subject to Response Delays: Stability and Oscillations. 11th WSEAS International Conference on Applied Computer and Applied Computational Science. Rovaniemi, Finland. 18-20 April 2012.

77. Deb, U.K., Chayantrakom, K., Lenbury, Y., Wiwatanapataphee, B. Numerical Simulation of Two-phase Laminar Flow for CO2 and Microalgae Suspension in the HLTP. 11th WSEAS International Conference on System Science and Simulation in Engineering. Singapore City, Singapore. 11-13 May 2012.

78. Moonchai, S., Lenbury, Y. Double Compartment Cellular Automata Model and Simulation of HIV Proliferation under Interrupted Plasmapheresis Treatment. 19th WSEAS American Conference on Applied Mathematics. Cambridge, USA. 31 January – 2 February 2013.

79. Juagwon, K., Lenbury, Y., De Gaetano, A., Palumbo, P. Reconstruction of Insulin Secretion under the Effects of Hepatic Extraction during OGTT: A Modelling and Convolution Approach. 19th WSEAS American Conference on Applied Mathematics. Cambridge, USA. 31 January – 2 February 2013.

80. Tikjha, W., Lenbury, Y., Lapierre, E.G. Prime Period-6 Solutions of a Certain Piecewise Linear System of Difference Equations. 19th WSEAS American Conference on Applied Mathematics. Cambridge, USA. 31 January – 2 February 2013.

81. Satiracoo, P., Pokethitiyook, P., Lenbury, Y., Potivichayanon, S., Agarwal, R.P. Development and Experimental Validation of a Model for Biofiltration for Hydrogen Sulfide Removal: Effect of Biofilm Development. 19th WSEAS American Conference on Applied Mathematics. Cambridge, USA. 31 January – 2 February 2013.

82. Rattanakul, C., Lenbury, Y. Different Travelling Wave Solutions for Controlled Drug Release Model in Planar Geometry. The 12th International Conference on System Science and Simulation in Engineering. Iwate, Japan. 23-25 April 2013.

83. Ouncharoen, R., Intawichai, S., Dumrongpokaphan, T., Lenbury, Y. Limit Cycles and Continuous Filtering in HIV Model with Time Delay. The 12th International Conference on System Science and Simulation in Engineering. Iwate, Japan. 23-25 April 2013.

84. Novaprateep, B., Khompurngson, K., Lenbury, Y., Siangdee, N. Some Remarks on Hide with Square Loss. The 12th International Conference on System Science and Simulation in Engineering. Iwate, Japan. 23-25 April 2013.

85. Chayapham, P., Lenbury, Y. Dynamical Analysis of a Nutrient Limited Delay Model of Drug Resistance. The 2nd International Conference on Applied and Computational Mathematics. Athens, Greece. 14-16 May 2013.

86. Chayapham, P., Lenbury, Y. Three Component Delayed Model of Drug Resistance in Human under Pulsatile Drug Treatment. The 2nd International Conference on Applied and Computational Mathematics. Athens, Greece. 14-16 May 2013.

87. Ouncharoen, R., Daengkongkho, S., Dumrongpokaphan, T., Lenbury, Y. Local Stability of Delayed SIR Model with Nonlinear Incidence Rate and Total Population Variation. The 2nd International Conference on Applied and Computational Mathematics. Athens, Greece. 14-16 May 2013.

88. Toghaw, P., Lenbury, Y. Analysis of the Glucose-Insulin-Incretin Model for Bariatric Surgery and T2DM Improvement Mechanisms. The 2nd International Conference on Applied and Computational Mathematics. Athens, Greece. 14-16 May 2013.

89. Ouncharoen, R., Dumrongpokaphan, T., Lenbury, Y. Distributed Delay in an HIV Model. The 2nd International Conference on Applied and Computational Mathematics. Athens, Greece. 14-16 May 2013.

90. Phewchean, N., WU, Y.H., Lenbury, Y. Option Pricing with Stochastic Volatility and Market Price of Risk: An Analytic Approach. The 2nd International Conference on Applied and Computational Mathematics. Athens, Greece. 14-16 May 2013.

91. Lenbury, Y. Recent Research in Modelling of Insulin Kinetics for Diabetes Treatment and Control. International Conference on Mathematical Research, Education and Applications. Ho chi Minh City, Vietnam. 21-23 December 2013.

92. Lenbury, Y., Rattanakul, C. Cellular Automata Simulation of Signal Transduction Mediated by Healthy and Calcium-sensing Receptors. The 16th International Conference on Mathematical and Computational Methods in Science and Engineering. Kuala Lumpur, Malaysia. 23-25 April 2014.

93. Thiuthad, P., Lenbury, Y., Manoranjan, V.S. An Avian Influenza Epidemic Model Incorporating Spatial Spread as a Diffusive Process. The 10th International Conference of the East Asia Section of the Society of Industrial and Applied Mathematics. Chonburi, Thailand. 23-25 June 2014.

94. Anlamlert, W., Lenbury, Y., Bell, J. Modeling Later Stages of Atherosclerotic Plaque Development. The 10th International Conference of the East Asia Section of the Society of Industrial and Applied Mathematics. Chonburi, Thailand. 23-25 June 2014.

95. Rattanakul, C., Lenbury, Y. Simulation Modelling of GPCR Mediated Signal Transduction with Receptor Migration: Tracking Dimer and Oligomer Formation. The 10th International Conference of the East Asia Section of the Society of Industrial and Applied Mathematics. Chonburi, Thailand. 23-25 June 2014.

96. Yokrattanasak, J., De Gaetano, A., Panunzi, S., Satiracoo, P., Lawton, W.M., Lenbury, Y. A Simple SDE Model of Gastric Emptying. The 10th International Conference of the East Asia Section of the Society of Industrial and Applied Mathematics. Chonburi, Thailand. 23-25 June 2014.

97. Anlamlert, W., Lenbury, Y., Bell, J. Mathematical Modeling of Atherosclerotic Plaque Development: Fibrous Cap Formation and Stabilization. The 6th International Symposium on Asian Modeling and Simulation 2015. Bangkok, Thailand. 22-23 January 2015.

98. Lenbury, Y. Monte Carlo Cellular Automata Simulation of Receptor Trafficking in Cell Signal Transduction: Tracking Dimer and Oligomer Formation. The 6th International Symposium on Asian Modeling and Simulation 2015. Bangkok, Thailand. 22-23 January 2015.

99. Nokkaew, A., Triampo, W., Amornsamankul, S., Modchang, C., Pimpunchat, B., Lenbury, Y. A Modeling Study of Infectious Diseases Outbreak in Macroalgae: SEIR Model. The 6th International Symposium on Asian Modeling and Simulation 2015. Bangkok, Thailand. 22-23 January 2015.

100. Moonchai, S., Lenbury, Y. Investigating Combined Drug and Plasma Apheresis Therapy of HIV Infection by Double Compartment Cellular Automata Simulation. 2015 6th International Conference on Computer Modeling and Simulation. Amsterdam, Netherlands. 12-13 February 2015.

101. Anlamlert, W., Bell, J., Lenbury, Y. Modeling Fibrous Cap Formation in Atherosclerotic Plaque Development: Stability and Oscillatory Behavior. The International Conference for Academic Disciplines. Nevada, USA. 16-20 March 2015.

102. Rattanakul, C., Lenbury, Y. Cellular Automata Simulation of Signal Transduction and Calcium Dynamics with Healthy and Faulty Receptor Trafficking. 10th Annual IEEE International Systems Conference. Florida, USA. 18-21 April 2016.

103. Lenbury, Y. Traveling Wave Solutions of a Model for Porcine Reproductive and Respiratory Syndrome. The 11th East Asia Section of SIAM Conference. Macau, China. 20-22 June 2016.

104. Lenbury, Y. Nonlinear Systems Modeling from Personal Experience. The International Conference on Mathematics, Engineering & Industrial Applications 2016. Songkhla, Thailand. 10-12 August 2016.

## Research work Presented in Local Conferences

1. Ruktamatakul, S., Lenbury, Y. Modelling Insupn Kinetics. The Fourth Annual National Symposium on Computational Science and Engineering. Faculty of Engineering, Kasetsart University, Thailand. 27-29 March 2000.

2. Ouncharoen, R., Lenbury, Y. Modelling Oscillatory Behavior in the Human Immunodeficiency Virus Proliferation. The Fourth Annual National Symposium on Computational Science and Engineering. Faculty of Engineering, Kasetsart University, Bangkok, Thailand. 27-29 March 2000

3. Kunphasuruang, W. and Lenbury, Y. Modelling Pulsatile Releases of Luteinizing Hormone by Hypothalamic and Extrahypothalamic Pathways. Progress in Mathematics. Bangkok, Thailand. 12-13 December 2000

4. Chasreechai, S., Suwanwongse, S. and Lenbury, Y. The Statistics of AIDS in Thailand: a Case Study of Nakorn Pathom Province. Progress in Mathematics. Bangkok, Thailand. 12-13 December 2000

5. Ratanakul, C., Lenbury, Y. Modelling of Bone Formation. The Fifth Annual National Symposium on Computational Science and Engineering. Bangkok, Thailand. 19-20 June 2001

6. Dumrongpokaphan, T., Lenbury, Y. A Separation Condition for the Existence of Limit Cycles in a Model of Predator-Prey Communities Coupled by Migration. The Fifth Annual National Symposium on Computational Science and Engineering. Bangkok, Thailand. 19-20 June 2001

7. Lenbury, Y., Cascade Mechanism in a Self-regulatory Endocrine System: Modelling Pulsatile Hormone Secretion. RGJ-Ph.D. Congress III. Chonburi, Thailand. 25-27 April 2002.

8. Lenbury, Y., Rattanakul, C., Krishnamara, N. and Wollkind, D.J. Application of Singular Perturbation Principle to the Development and Analysis of a Mathematical Model of Bone Formation. 28th Congress on Science and Technology of Thailand. Bangkok, Thailand. 24-26 October 2002

9. Lenbury, Y., Rattanakul, C., Krishnamara, N., Wollkind, D.J. Application of Singular Perturbation Principle to the Development and Analysis of a Mathematical Model of Bone Formation. 28th Congress on Science and Technology of Thailand. Bangkok, Thailand. 24-26 October 2002.

10. Lenbury, Y., Giang, D.V. Nonlinear Delay Differential Equations Involving Population Growth. Progress in Mathematics 2003. Bangkok, Thailand. 8-9 May 2003.

11. Pornsawad, P., Lenbury, Y. A Delay-Differential Equation Model of Cortisol Secretion Process in Human.Progress in Mathematics 2003. Bangkok, Thailand. 8-9 May 2003.

12. Pansuwan, A., Lenbury, Y. Weakly Nonlinear Stability Analysis of Turing Pattern Formation on Ion-sputtered Semiconductor Surfaces. Progress in Mathematics 2003. Bangkok, Thailand. 8-9 May 2003.

13. Kongkul, K., Lenbury, Y., Crooke, P.S. Nonlinear Mathematical Models for Pressure Controlled Ventilation with Variable Compliance. Progress in Mathematics 2003. Bangkok, Thailand. 8-9 May 2003.

14. Rattanamongkonkul, S., Lenbury, Y. Ventilator Asynchrony in Partial Support, Pressure-Controlled Ventilation. Progress in Mathematics 2003. Bangkok, Thailand. 8-9 May 2003.

15. Wiwatanapatapee, B., Ruengsakulrach, P., Poltem, D., Lenbury, Y., Punpocha, M. Mathematics Modeling of End-to-Side Anastomosis in Coronary Artery Bypass Grafting. Progress in Mathematics 2003.Bangkok, Thailand. 8-9 May 2003.

16. Niamsup, P., Lenbury, Y. The Asymptotic Stabipty of xn+1-a2xn-1+bxn-k = 0 . Progress in Mathematics 2003. Bangkok, Thailand. 8-9 May 2003.

17. Triampo, W., Triampo, D., Tang, I.M., Lenbury, Y. Simple Stochastic Modelling of Mutagenesis. Progress in Mathematics 2003. Bangkok, Thailand. 8-9 May 2003.

18. Lenbury, Y., Giang, D.V., Pornsaward, P., Rattanakul, C. Modelling Delay Mechanisms in Human Physiology and Biology. The 8th National Conference in Mathematics. Bangkok, Thailand. 21-23 May 2003.

19. Giang, D.V., Lenbury, Y., Seidman, T.I. Delay Effect on Population Models. Progress in Mathematics 2004. Bangkok, Thailand. 7-8 January 2004.

20. Tiensuwan, M., Rattanapornpong, S., Lenbury, Y.Applications of Logistic Models to Cancer Patients: a Case Study of the National Cancer Institute. Progress in Mathematics 2004. Bangkok, Thailand. 7-8 January 2004.

21. Giang, D.V., Lenbury, Y., Seidman, T.I. Periodicity in Delay Models: Bifurcation and Knots Theory. 9th Annual Meeting in Mathematics. Chiang Mai University, Thailand. 19-20 May 2004.

22. Lenbury, Y., Rattanakul, C. Pattern Formation in Signal Transduction Mechanism Involving G-Protein. 10th Annual Meeting in Mathematics. Naresuan University, Thailand. 12-13 May 2005.

23. Lenbury, Y. Mathematics: Research Overview and Future Outlook. Thailand Research Expo 2006. Bangkok, Thailand. 9-13 September 2006.

24. Ruktamatakul, S., Lenbury, Y., Bell, J. Traveling Wave Front Solutions in Neural Network Model. The 32nd Congress on Science and Technology of Thailand. Bangkok, Thailand. 10-12 October 2006.

25. Puttasontiphot, T., Lenbury, Y., Rattanakul, C., Rattanamongkonkul, S., Hotchkiss, J.R., Crooke, P.S. Dynamic Processes Permitting Stable Coexistance of Antimicrobial Resistant and Non-Resistant Organisms in a Gastrointestinal Tract Model. The 32nd Congress on Science and Technology of Thailand. Bangkok, Thailand. 10-12 October 2006.

26. Toghaw, P., Lenbury, Y., Kaneko, H. Hierarchical Finite Element Method for Nonlinear Heat Conduction in Plates. The 32nd Congress on Science and Technology of Thailand. Bangkok, Thailand. 10-12 October 2006.

27. Lenbury, Y. Modelling and Control of Systems in Life Science. The 12th Annual Meeting in Mathematics 2007. Burapha University, Thailand. 17-18 May 2007.

28. Lenbury, Y. Writing Research Papers: from Personal Experience. Seminar & Workshop: Writing Scientific Articles for Publication II. Bangkok, Thailand. 21-22 July 2007.

29. Lenbury, Y., Ouncharoen, R., Dumrongpokaphan, T., Kunphasuruang, W., Rattanakul, C., Giang, D.V., Pansuwan, A., Triampo, W. Nonlinear Approaches in Mathematical Modelling of Natural Phenomena. National Workshop and Conference on Mathematics. Silpakorn University, Thailand. 1-5 October 2007.

30. Lenbury, Y. Dynamic Modelpng of Nonlinear Systems in Medicine and Biology. The 33rd Congress on Science and Technology of Thailand. Walailak University, Thailand. 18-20 October, 2007.

31. Modchang, C., Triampo, W., Lenbury, Y. A Stochastic Model of Min Proteing Oscillations in Escherichia Cop: The Effect of an External Electric Field. The 33rd Congress on Science and Technology of Thailand. Walailak University, Thailand. 18-20 October, 2007.

32. Wisitsorasak, A., Triampo, W., Lenbury, Y. Modeling of the Dynamics of G-protein Mediated Signal Transduction Process through a Statistical Physics. The 33rd Congress on Science and Technology of Thailand. Walailak University, Thailand. 18-20 October, 2007.

33. Lenbury, Y. Writing Research Papers: from Personal Experience. Seminar & Workshop: Writing Scientific Articles for Publication III. Bangkok, Thailand. 15-16 December 2007.

34. Lenbury, Y. Simulation and Modeling to Benefit Medical Science and Health Care Planning in the World of Today. Simulation Models for a Better Decision. Kasetsart University, Thailand. 1-2 April, 2008.

35. Lenbury, Y. Writing Scientific Articles for Publication: Experience of 2007 Thailand Outstanding Scientists. Seminar & Workshop: Writing Scientific Articles for Publication IV. Bangkok, Thailand. 19-20 July 2008.

36. Lueabunchong, S., Lenbury, Y., Gaetano, A.D. Analysis of a Delay Model for the Signal Transduction Pathways. Commission on Higher Education Congress I University Staff Development Consortium. Chonburi, Thailand. 5-7 September 2008.

37. Kocharoen, K., Lenbury, Y. Singular Perturbation Analysis of a Skeletal Muscle Model in Myotonia and Periodic Paralysis. The 34th Congress on Science and Technology of Thailand. Bangkok, Thailand. 31 October – 2 November 2008.

38. Boonkorkuea, N., Wollkind, D.J., Alvarado, F.J., Lenbury, Y. Weakly Nonlinear Analysis of a Model for Vegetation Morphology in Arid Environment: Spatial Pattern Differentiation. The 34th Congress on Science and Technology of Thailand. Bangkok, Thailand. 31 October – 2 November 2008.

39. Prasertsang, P., Manoranjan, V.S., Lenbury, Y. Exact Solution of a Bacteria Transport Model on Teeth with Nonlinear Sorption. The 34th Congress on Science and Technology of Thailand. Bangkok, Thailand. 31 October – 2 November 2008.

40. Kongson, J., Thompson, B., Lenbury, Y. Multiple Solutions for Systems of Differential Equations with Nonlinear Boundary Conditions. The 34th Congress on Science and Technology of Thailand. Bangkok, Thailand. 31 October – 2 November 2008.

41. Lenbury, Y. Writing Scientific Articles for Publication: Experience of 2007 Thailand Outstanding Scientists. The 34th Congress on Science and Technology of Thailand. Bangkok, Thailand. 31 October – 2 November 2008.

42. Lenbury, Y. Dynamical Analysis of Nonlinear Impulsive Systems of Differential Equations. The 15th Annual Meeting in Mathematics. Bangkok, Thailand. 10-12 March 2010.

43. Anlamlert, W., Lenbury, Y. A Delay Differential Equation Model for the Signal Transduction Process. The 15th Annual Meeting in Mathematics 2010. Bangkok, Thailand. 10-12 March 2010.

44. Lenbury, Y., Triampo, W., Moonchai, S. Modelling and Simulation in Medical Science and Healthcare. Zoonotic Diseases. Faculty of Tropical Medicine, Mahidol University, Bangkok. 15 July 2010.

45. Chayapham, P., Lenbury, Y. Dynamic Analysis of a Model of Drug Resistance under Pulsatile Drug Intake. The 36th Congress on Science and Technology of Thailand. Bangkok, Thailand. 26-28 October 2010.

46. Sontornchaiyakul, W., Triampo, W., Lenbury, Y., Doungchawee, G., Modchang, C. An Age-structure Model for the Leptospirosis Transmission in Thailand with the Consideration of Amount of Rainfall. The 36th Congress on Science and Technology of Thailand. Bangkok, Thailand. 26-28 October 2010.

47. Mongkolsittisilp, A., Traimpo, W., Muanprasat, C., Chatsudthipong, V., Lenbury, Y., Modchang, C. Biophysical Modeling of Cystic Fibrosis Transmembrane Conductance Regulator Cl-Channel Dynamics. The 36th Congress on Science and Technology of Thailand. Bangkok, Thailand. 26-28 October 2010.

48. Precharattana, M., Triampo, W., Modchang, C., Nuttavut, N., Triampo, D., Lenbury, Y. Cellular Automata Simulations of the Primary Phase of HIV Infection: an Effect of Cell-mediated Immunity. Siam Physics Congress SPC2011. Chonburi, Thailand. 23-26 March 2011.

49. Anlamlert, W., Lenbury, Y. Dynamical Modeling of the Signal Transduction Process with Time Delays. The 17th Annual Meeting in Mathematics. Bangkok, Thailand. 26–27 April 2012.

50. Chayapham, P., Lenbury, Y. The Dynamics of a Nonlinear Model of Drug Resistance in Human under Pulsatile Treatment. The 17th Annual Meeting in Mathematics. Bangkok, Thailand. 26–27 April 2012.

51. Juagwon, K., Lenbury, Y. Reconstruction of Insulin Secretion: A Modeling Approach. The 17th Annual Meeting in Mathematics. Bangkok, Thailand. 26–27 April 2012.

52. Lueabunchong, S., Lenbury, Y. Parameter Estimation for a Glucose/Insulin Nonlinear Differential Equation Model by Using MCMC and GLS Methods. The 17th Annual Meeting in Mathematics. Bangkok, Thailand. 26–27 April 2012.

## Download

- Computational Identification of Rho-Independent Terminators in the Genomes of Mycobacterium Tuberculosis [ Download ]
- The computer code for inventory system upon uncertain demand and lead-time [Download Code]

## Curriculum Vitae

General Information |
First name : Yongwimon Last Name : Lenbury Maiden name : Wiriyawit |

Place of work |
Department of Mathematics, Faculty of Science, Mahidol University, Rama 6 Rd., Bangkok 10400. Tel. 02-2201-5448 Fax. 02-201-5343 |

Address |
177 Soi Chantanachart, Bangsue, Bangkok 10800. Tel. 02-587-7903 |

Email address |
scylb@mahidol.ac.th |

## Qualifications

- B.Sc. with A2 Honours (Applied Mathematics) Australian National University, 1976.
- M.Sc. (Applied Mathematics) Australian National University, 1978.
- Ph.D. (Mathematics) Vanderbilt University, U.S.A., 1985.

## Honours

- 1971-1977 Columbo Plan Scholarship, the Australian Government.
- 1975 The P. Bok Prize for the Best Female Science Student of the Year, Australian National University.
- 1993 The Outstanding Research Work of the Year Award (in Physical Science),The National Research Council, Thailand.
- 1995-2000 Research Award, Thailand Research Fund.
- 1998 The Outstanding Researcher of the Year Award (in Physical Science and Mathematics), The National Research Council, Thailand.
- 1999-2005 TRF senior research scholar
- 2001-present Fellow of the Royal Institute of Thailand.
- 2005-2009 Research Team Sprencthening Grant, National Center for Genetic Engineering and Biotechnology, National Science and Technology Development Agency.
- 2007 Thailand Outstanding Scientist Award 2007, Foundation for the Promotion of Science and Technology under HM the King's Patronage.

## Experience

- 1 Dec. 1977 - 14 Sept. 1987 Lecturer, Department of Physics and Mathematics, Faculty of Science, Mahidol University
- 15 Sept. 1987 - 18 Oct. 1989 Asst. Prof., Department of Physics and Mathematics, Faculty of Science, Mahidol University.
- 19 Oct. 1989 - 17 Sept. 1990 Asst. Prof., Department of Mathematics, Faculty of Science, Mahidol University.
- 18 Dec. 1990 - 30 Sep. 1996 Assoc. Prof., Department of Mathematics, Faculty of Science, Mahidol University.
- 1 Oct. 1996 Professor of Mathematics, Faculty of Science, Mahidol University.
- 1990 - 1995 Chairman, Master of Science Program in Applied Mathematics.
- 1990 - 1994 Asst. Chairman, Department of Mathematics, Faculty of Science, Mahidol University.
- 1998 - 2006 Chairman, Department of Mathematics, Faculty of Science, Mahidol University.
- 2006 - present The Committee Chairman of Ph.D Programme in Mathematics, Department of Mathematics, Faculty of Science, Mahidol University.
- 2007 - present Director, Centre of Excellence in Mathematics, PERDO, Commission on Higher Education.