Derivation and experimental comparison of cell-division probability densities

JOURNAL OF THEORETICAL BIOLOGY

卷:359

Article

Leander, R.¹  Allen, E. J.²  Garbett, S. P.³  Tyson, D. R.³  Quaranta, V.³ 

[1] Middle Tennessee State Univ, Dept Math Sci, Murfreesboro, TN 37132 USA

[2] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA

[3] Vanderbilt Ingram Canc Ctr, Nashville, TN 37232 USA

关键词: Intermitotic time;    Stochastic differential equation;    Mathematical modeling;    First exit time;   

DOI  :  10.1016/j.jtbi.2014.06.004

来源: Elsevier

【 摘 要 】

Experiments have shown that, even in a homogeneous population of cells, the distribution of division times is highly variable. In addition, a homogeneous population of cells will exhibit a heterogeneous response to drug therapy. We present a simple stochastic model of the cell cycle as a multistep stochastic process. The model, which is based on our conception of the cell cycle checkpoint, is used to derive an analytical expression for the distribution of cell cycle times. We demonstrate that this distribution provides an accurate representation of cell cycle time variability and show how the model relates drug-induced changes in basic biological parameters to variability in response to drug treatment. (C) 2014 Elsevier Ltd. All rights reserved.

【 授权许可】

Free