Regulatory effects on the population dynamics and wave propagation in a cell lineage model

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/105633

Title:	Regulatory effects on the population dynamics and wave propagation in a cell lineage model
Authors:	黎璧賢;Wang, Mao-Xiang;Ma, Yu-Qiang;Lai, Pik-Yin
Contributors:	理學院物理學系
Keywords:	Animals;Cell Dedifferentiation;Cell Lineage;Cell model;Cell Proliferation;Differentiation;Feedback, Physiological;Humans;Models, Biological;Numerical Analysis, Computer-Assisted;Population dynamics;Proliferation;Regulation;Stem Cells - cytology;Wave propagation
Date:	2016-03-21
Issue Date:	2026-04-23 12:43:42 (UTC+8)
Publisher:	Academic Press Inc.;England: Elsevier Ltd
Abstract:	摘要： We consider the interplay of cell proliferation, cell differentiation (and de-differentiation), cell movement, and the effect of feedback regulations on the population and propagation dynamics of different cell types in a cell lineage model. Cells are assumed to secrete and respond to negative feedback molecules which act as a control on the cell lineage. The cell densities are described by coupled reaction–diffusion partial differential equations, and the propagating wave front solutions in one dimension are investigated analytically and by numerical solutions. In particular, wavefront propagation speeds are obtained analytically and verified by numerical solutions of the equations. The emphasis is on the effects of the feedback regulations on different stages in the cell lineage. It is found that when the progenitor cell is negatively regulated, the populations of the cell lineage are strongly down-regulated with the steady growth rate of the progenitor cell being driven to zero beyond a critical regulatory strength. An analytic expression for the critical regulation strength in terms of the model parameters is derived and verified by numerical solutions. On the other hand, if the inhibition is acting on the differentiated cells, the change in the population dynamics and wave propagation speed is small. In addition, it is found that only the propagating speed of the progenitor cells is affected by the regulation when the diffusion of the differentiated cells is large. In the presence of de-differentiation, the effect on down-regulating the progenitor population is weakened and there is no effect on the propagation speed due to regulation, suggesting that the effect of regulatory control is diminished by de-differentiation pathways. •Negative feedback regulations in a cell lineage model is investigated.•Wave speeds, growth rates and critical regulation strength are obtained.•With de-differentiation, propagation speed is unaffected by regulation. 其他題名： J Theor Biol 出版者： England: Elsevier Ltd 出版日期： 2016-03-21 出處： Journal of theoretical biology, 2016-03, Vol.393, p.105-117 版權： 2016 Elsevier Ltd 版權： Copyright © 2016 Elsevier Ltd. All rights reserved. 識別號： ISSN: 0022-5193 識別號： EISSN: 1095-8541 識別號： DOI: 10.1016/j.jtbi.2015.12.035 識別號： PMID: 26796226
Appears in Collections:	[Department of Physics] journal & Dissertation

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