Abstract
For the key substances CDK1 and APC that affect cell cycle, we establish a new feedback model by introducing diffusion. In order to simulate the effects of CDK1 targeted inhibitor on system dynamics, for the first time, the hybrid controller is applied in microscopic systems involving cell cycle substances. Necessary and sufficient conditions for the occurrence of Turing modes and Hopf bifurcation of the controlled system are given. By using the formal theory and the central manifold theorem, the direction and stability of Hopf bifurcation are determined. Finally, the efficiency of the controller is verified by numerical simulation.
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