Model on cell movement, growth, differentiation and de-differentiation: Reaction-diffusion equation and wave propagation

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/105477

Title:	Model on cell movement, growth, differentiation and de-differentiation: Reaction-diffusion equation and wave propagation
Authors:	黎璧賢;Wang, Mao-Xiang;Li, Yu-Jung;Lai, Pik-Yin;Chan, C. K.
Contributors:	理學院物理學系
Keywords:	Biological and Medical Physics;Biological and medical sciences;Biophysics;Cell Dedifferentiation;Cell Differentiation;Cell Movement;Cell Proliferation;Complex Fluids and Microfluidics;Complex Systems;Diffusion;Fundamental and applied biological sciences. Psychology;Models, Biological;Nanotechnology;Physics;Physics and Astronomy;Polymer Sciences;Regular Article;Soft and Granular Matter;Surfaces and Interfaces;Thin Films
Date:	2013-01-01
Issue Date:	2026-04-23 12:30:35 (UTC+8)
Publisher:	Springer New York;Berlin/Heidelberg: Springer Berlin Heidelberg
Abstract:	摘要： . We construct a model for cell proliferation with differentiation into different cell types, allowing backward de-differentiation and cell movement. With different cell types labeled by state variables, the model can be formulated in terms of the associated transition probabilities between various states. The cell population densities can be described by coupled reaction-diffusion partial differential equations, allowing steady wavefront propagation solutions. The wavefront profile is calculated analytically for the simple pure growth case (2-states), and analytic expressions for the steady wavefront propagating speeds and population growth rates are obtained for the simpler cases of 2-, 3- and 4-states systems. These analytic results are verified by direct numerical solutions of the reaction-diffusion PDEs. Furthermore, in the absence of de-differentiation, it is found that, as the mobility and/or self-proliferation rate of the down-lineage descendant cells become sufficiently large, the propagation dynamics can switch from a steady propagating wavefront to the interesting situation of propagation of a faster wavefront with a slower waveback. For the case of a non-vanishing de-differentiation probability, the cell growth rate and wavefront propagation speed are both enhanced, and the wavefront speeds can be obtained analytically and confirmed by numerical solution of the reaction-diffusion equations. Graphical abstract 其他題名： Eur. Phys. J. E 其他題名： Eur Phys J E Soft Matter 出版者： Berlin/Heidelberg: Springer Berlin Heidelberg 出版日期： 2013-06-01 出處： The European physical journal. E, Soft matter and biological physics, 2013-06, Vol.36 (6), p.65, Article 65 資源來源： Academic Search Premier (EBSCO) 版權： EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013 版權： 2015 INIST-CNRS 識別號： ISSN: 1292-8941 識別號： ISSN: 1292-895X 識別號： EISSN: 1292-895X 識別號： DOI: 10.1140/epje/i2013-13065-4 識別號： PMID: 23807466
Appears in Collections:	[Department of Physics] journal & Dissertation

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