05692184

j

05692184 Tecarro, Edwin Bui, Tung Lisi, Marsida Sater, Amy Uzman, Akif A simple model of two interacting signaling pathways in embryonic Xenopus laevis. Discrete Contin. Dyn. Syst. 2009, Suppl., 753-760 (2009). 2009 American Institute of Mathematical Sciences, Springfield, MO EN mathematical model signaling pathway transcritical bifurcation MAPK BMP

http://aimsciences.org/journals/redirecting1.jsp?paperID=4690

Summary: A mathematical model of mitogen-aktivated protein kinase (MAPK) and bone morphogenetic protein (BMP)-Smad1 signaling pathways in the embryonic development of Xenopus laevis is constructed. The model consists of a system of 4 coupled, nonlinear ordinary differential equations. Numerical computations characterize the biological result that a 4 to 6-fold increase in MAPK activity inhibits Smad1 activity and triggers the neural fate of the embryo's ectodermal cells. Bifurcation analysis of the model shows that this biological result can be explained via transcritical bifurcations involving steady-state MAPK and Smad1 activity levels.