Cell cycle control at the first restriction point and its effect on tissue growth |
| |
Authors: | Avner Friedman Bei Hu Chiu-Yen Kao |
| |
Institution: | 1. Department of Mathematics, Mathematical Biosciences Institute, The Ohio State University, 231 West 18th Avenue, Columbus, OH, 43210, USA 2. Department of Mathematics, University of Notre Dame, Notre Dame, IN, 46556, USA
|
| |
Abstract: | Cell cycle is controlled at two restriction points, R
1 and R
2. At both points the cell will commit apoptosis if it detects irreparable damage. But at R
1 an undamaged cell also decides whether to proceed to the S phase or go into a quiescent mode, depending on the environmental conditions (e.g., overpopulation, hypoxia). We consider
the effect of this decision at the population level in a spherical tissue {r < R(t)}. We prove that if the cells have full control at R
1, they can manipulate the size of R(t) to ensure that 0 < c ≤ R(t) ≤ C < ∞; simulations further show that R(t) can be made nearly stationary. In the absence of such control, R(t) will either increase to ∞ or decrease to 0. The mathematical model and analysis involve a system of PDEs in {r < R(t)}. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|