Stabilization of telomeres in nonlinear models of proliferating cell lines

被引：7

作者：

Dyson, Janet

Sanchez, Eva

Villella-Bressan, Rosanna

Webb, Glenn F.

机构：

[1] Univ Oxford, Mansfield Coll, Oxford OX1 2JD, England

[2] ETSI Ind, Dept Matemat Aplicada, Madrid 28006, Spain

[3] Univ Padua, Dipartimento Matemat Pura & Applicata, Padua, Italy

[4] Vanderbilt Univ, Dept Math, Nashville, TN USA

来源：

JOURNAL OF THEORETICAL BIOLOGY | 2007年 / 244卷 / 03期

关键词：

telomere; Hayflick limit; logistic nonlinearity; equilibrium; abstract evolution equation; cell proliferation;

D O I：

10.1016/j.jtbi.2006.08.023

中图分类号：

Q [生物科学];

学科分类号：

07 [理学]; 0710 [生物学]; 09 [农学];

摘要：

We analyse an age-structured model of telomere loss in a proliferating cell population. The cell population is divided into telomere classes, which shorten each round of division. The model consists of a nonlinear system of partial differential equations for the telomere classes. We prove that if the highest telomere class is exempted from mortality, then all the classes stabilize to a nontrivial equilibrium dependent on the initial state of cells in the highest telomere class. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：400 / 408

页数：9

共 19 条

[1]

MATHEMATICAL-MODELING OF THE LOSS OF TELOMERE SEQUENCES [J].