Chontita RattanakulTitiwat SungkawornYongwimon LenburyMeechoke ChudoungVaranuj ChatsudthipongWannapong TriampoBoriboon NovaprateepMahidol University2018-09-132018-09-132009-09-30International Journal of Mathematical Models and Methods in Applied Sciences. Vol.3, No.3 (2009), 219-229199801402-s2.0-70349428790https://repository.li.mahidol.ac.th/handle/123456789/27774Cell behavior and communication are regulated by a complex network of intracellular and extracellular signal transduction pathways. In this paper, a model of signaling process involving G proteins is analyzed. The model incorporates reaction-diffusion mechanisms involving reactants that interact with each other on the cellular membrane surface and its proximity. The ligand-receptor complexes and the inhibiting agents in the process may diffuse over the cell membrane, and the signal transduction is mediated by the membrane bound G protein leading to biochemical intra-cellular reaction and the production of the second messenger or other desired functional responses. Weakly nonlinear stability analysis is carried out in order to investigate the dynamic and steady-state properties of the model. Turing-type patterns are shown to robustly form under conditions on the system parameters which characterize the formation of stationary symmetry breaking structures; stripes and hexagonal arrays of spots or nets. Some recent experimental studies are then mentioned in support of our theoretical predictions.Mahidol UniversityMathematicsArticleSCOPUS