Dynamic modeling of mapk/erk signaling pathways

Muhammad Irawan Jayadi, Yudi Ari Adi, Agung Budiantoro

Abstract


Abstract. MAPK/ERKpathways have been shown to play a key role in transduction extracellular signals to cellular responses. Its Transduces signals by phosphorylation and has an essential role in cell proliferation, differentiation, and apoptosis. Through several assumptions, we simplify the pathways to develop a model for ERK1/2 activation in a system of differential equations based on enzyme catalyzed reaction processes. Then we study dynamic behaviour of the interactions among these two important molecules in this signaling patways. We used nondimensionalizations and Homotopy Perturbation Method (HPM) to find approximation solutions to the system.  In addition to the approximation analytical expressions, we also computed numerical solutions for our system equations. We compared both types of solutions graphically and obtained that the results are in good agreement.


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References


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