PuSH - Publication Server of Helmholtz Zentrum München

Export: TXT Text RIS Endnote (RIS) BIB BibTeX
Efendiyev, M.A. ; van Brunt, B.* ; Zaidi, A.A.* ; Shah, T.H.*

Asymmetric cell division with stochastic growth rate. Dedicated to the memory of the late Spartak Agamirzayev.

Math. Meth. Appl. Sci. 41, 8059-8069 (2018)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
A cell growth model for a size-structured cell population with a stochastic growth rate for size and division into two daughter cells of unequal size is studied in this paper. The model entails an initial boundary value problem that involves a second-order parabolic partial differential equation with two nonlocal terms, the presence of which is a consequence of asymmetry in the cell division. The solution techniques for solving such problems are rare due to the nonlocal terms. In this paper, we solve the initial boundary value problem for arbitrary initial distributions. We obtain a separable solution, as well as the general solution to the partial differential equation, and show that the solutions converge to the separable solution for large time. As in the symmetric division case, the dispersion term does not affect the rate of convergence to the separable solution.
Impact Factor
Scopus SNIP
Scopus
Cited By
Altmetric
1.180
0.778
3
Tags
Annotations
Special Publikation
Hide on homepage

Edit extra information
Edit own tags
Private
Edit own annotation
Private
Hide on publication lists
on hompage
Mark as special
publikation
Publication type Article: Journal article
Document type Scientific Article
Language
Publication Year 2018
HGF-reported in Year 2018
ISSN (print) / ISBN 0170-4214
e-ISSN 1099-1476
Journal Mathematical Methods in the Applied Sciences
Quellenangaben Volume: 41, Issue: 17, Pages: 8059-8069 Article Number: , Supplement: ,
Publisher Wiley
Reviewing status Peer reviewed
Institute(s) Institute of Computational Biology (ICB)
POF-Topic(s) 30205 - Bioengineering and Digital Health
Research field(s) Enabling and Novel Technologies
PSP Element(s) G-503800-001
DOI 10.1002/mma.5269
Scopus ID 85062599368
Scopus ID 85053504379
Erfassungsdatum 2018-10-18
[➜Report correction]