The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 20-622
Full Name: Yongwimon Yongwimon
Position: Professor
Age: ON
Sex: Female
Address: Department of Mathematics, Faculty of Science, Mahidol University, Rama 6 Rd., Bangkok 10400
Country: THAILAND
Tel: 02-201-5448
Tel prefix: 66
Fax: 02-201-5343
E-mail address: scylb@mahidol.ac.th
Other E-mails: scylb@yahoo.com
Title of the Paper: Modeling and Analysis of the Signal Transduction Process with Delays Involving G Protein Coupled Receptors as a Drug Target
Authors as they appear in the Paper: Warunee Sarika, Yongwimon Lenbury, Wanwarat Anlamlert
Email addresses of all the authors: scwkk@mahidol.ac.th, scylb@mahidol.ac.th, orange_an@hotmail.com
Number of paper pages: 9
Abstract: Mathematical modeling has played a significant role in modern biology and pharmacology and has become a powerful tool for examining GPCR pathways. Modeling can be used to validate hypothesized mechanisms, and identify relevant data. More importantly, it can suggest new drug targets, designs of experiments, and new explanations for observed phenomena. G protein coupled receptors (GPCRs) constitute the largest family of cell membrane receptors which are subject to being targeted by an estimated 50% of current pharmaceuticals. Thus, better understanding of GPCRs and the signal transduction pathways they mediate will lead to new drug targets. Signal transduction is the process by which a cell recognizes and extracellular signal and converts that signal into an intracellular response. Subjected to transient stimuli, biological systems can exhibit early responses and/or late responses. In this study, we use mathematical modelling and analysis to study dynamical mechanism!
s of biological memory and delayed response to external stimuli. A delay model of signaling pathways involving G-proteins is analyzed to show that the model admits positive solutions and is uniformly persistent. Global stability of the system is shown to be attainable under certain conditions on the system’s parametric values. It is found that the delays tau_{I} in response to inhibition and tau_{R} in G protein mediated response to external stimuli of the receptors do not appear to impact on the persistent and stability characteristics of this system.
Keywords: Delay differential equations; omega limit set; persistence; signal transduction; stability.
EXTENSION of the file: .pdf
Special (Invited) Session: Delay Mechanism Involving a Drug Target Candidate G Protein Coupled Receptors in Signal Pathways
Organizer of the Session: 650-208
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