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789 ¬ß§å «‘ ¡≈ ‡≈≥∫ÿ √’ , ™π¡å ∑‘ µ“ √— µπ°ÿ ≈ ªï ∑’Ë ÛÚ ©∫— ∫∑’Ë Ù µ.§.-∏.§. Úıı «“√ “√ √“™∫— ≥±‘ µ¬ ∂“π ‡Õ° “√Õâ “ßÕ‘ ß Ò. Rappel WJ, Thomas PJ, Levine H, Loomis WF. Establishing direction during chemotaxis in eukaryotic cells. Biophys J. 83 : 1361-1367, 2002. Ú. Levchenko A, Iglesias P. Models of eukaryotic gradient sensing: application to chemotaxis of amoebae and neutrophils. Biophys J. 82 : 50-63, 2002. Û. Krishnan J, Iglesias PA. Analysis of the signal transduction properties of a module of spatial sensing in eukaryotic chemotaxis. Bull. Math. Biol. 65 : 95-128, 2003. Ù. Norman AW, Litwack G. Hormones. California USA : Academic Press, 1997. ı. Stephenson LE, Wollkind DJ. Weakly nonlinear stability analyses of one-dimensional Turing pattern formation in activator-inhibitor/ immobilizer model systems. J. Math. Biol. 33 : 771-815, 1995. Abstract Modelling Signal Transduction Process in Living Cells Yongwimon Lenburi Fellow of the Academy of Science, The Royal Institute, Thailand Chontita Rattanakul Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand This article presents the result of our construction and analysis of a mathematical model of signal transduction pathway involving membrane receptors mediated by the G protein. The process may be modeled by a system of two action diffusion equations that involves the stimulating hormone and an inhibitor. Nonlinear stability analysis is carried out allowing us to discover the relationship between the system parameters and the pattern formed by the hormone coupled receptor (HCR) on the cell membrane which could lead us to better understand- ing of how the function or disfunction of signaling pathways is related to different pathological states. Key words : mathematical model, signaling pathway, Turing patterns, nonlinear stability analysis