In this article, we use system dynamical model (base on a set of nonlinear differential equations) and stochastic process model (Master equations of elementary reaction) to simulate the T helper cell differentiation (including Th1-Th2-Th17-Treg), especially the Th1-Th2 differentiations signaling network. We draw a conclusion that the critical trigger factor of naive T helper cells differentiation is the concentration of differentiation induced cytokines. We also compare the result of these two models as well as discussed the advantage and disadvantage of them.
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