tailieunhanh - Báo cáo y học: "A continuum mathematical model of endothelial layer maintenance and senescence"

Tuyển tập các báo cáo nghiên cứu về y học được đăng trên tạp chí y học quốc tế cung cấp cho các bạn kiến thức về ngành y đề tài: "A continuum mathematical model of endothelial layer maintenance and senescence | Theoretical Biology and Medical Modelling Research A continuum mathematical model of endothelial layer maintenance and senescence Ying Wang Baltazar D Aguda and Avner Friedman BioMed Central Open Access Address Mathematical Biosciences Institute and Department of Mathematics The Ohio State University Columbus Ohio 43210 USA Email Ying Wang - wang@ Baltazar D Aguda - bdaguda@ Avner Friedman - afriedman@ Corresponding author Published 10 August 2007 Received 25 June 2007 Theoretical Biology and Medical Modelling 2007 4 30 doi 1742-4682-4-30 Accepted 10 August 2007 This article is available from http content 4 1 30 2007 Wang et al licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Abstract Background The monolayer of endothelial cells ECs lining the inner wall of blood vessels deteriorates as a person ages due to a complex interplay of a variety of causes including cell death arising from shear stress of blood flow and cellular oxidative stress cellular senescence and decreased rate of replacement of dead ECs by progenitor stem cells. Results A continuum mathematical model is developed to describe the dynamics of large EC populations of the endothelium using a system of differential equations for the number densities of cells of different generations starting from endothelial progenitors to senescent cells as well as the densities of dead cells and the holes created upon clearing dead cells. Aging of cells is manifested in three ways namely losing the ability to divide when the Hayflick limit of 50 generations is reached decreasing replication rate parameters and increasing death rate parameters as cells divide due to the dependence of these rate parameters on cell

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