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Bifurcation in Cell Cycle Dynamics Regulated by p53
Authors:Md Jahoor Alam  Sanjay Kumar  Vikram Singh  R K Brojen Singh
Institution:1. School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi-110067, India.; 2. College of Applied Medical Sciences, University of Hail, Hail-2440, Kingdom of Saudi Arabia.; 3. Department of Computer Science, Jamia Millia Islamia, New Delhi 110025, India.; 4. School of Life Sciences, Central University of Himachal Pradesh, Dharamshala-176215, India.; University of Hawaii Cancer Center, UNITED STATES,
Abstract:We study the regulating mechanism of p53 on the properties of cell cycle dynamics in the light of the proposed model of interacting p53 and cell cycle networks via p53. Irradiation (IR) introduce to p53 compel p53 dynamics to suffer different phases, namely oscillating and oscillation death (stabilized) phases. The IR induced p53 dynamics undergo collapse of oscillation with collapse time Δt which depends on IR strength. The stress p53 via IR drive cell cycle molecular species MPF and cyclin dynamics to different states, namely, oscillation death, oscillations of periods, chaotic and sustain oscillation in their bifurcation diagram. We predict that there could be a critical Δt c induced by p53 via IR c, where, if Δt〈Δt c the cell cycle may come back to normal state, otherwise it will go to cell cycle arrest (apoptosis).
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