On interfaces between cell populations with different mobilities

Handle URI:
http://hdl.handle.net/10754/622760
Title:
On interfaces between cell populations with different mobilities
Authors:
Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoit
Abstract:
Partial differential equations describing the dynamics of cell population densities from a fluid mechanical perspective can model the growth of avascular tumours. In this framework, we consider a system of equations that describes the interaction between a population of dividing cells and a population of non-dividing cells. The two cell populations are characterised by different mobilities. We present the results of numerical simulations displaying two-dimensional spherical waves with sharp interfaces between dividing and non-dividing cells. Furthermore, we numerically observe how different ratios between the mobilities change the morphology of the interfaces, and lead to the emergence of finger-like patterns of invasion above a threshold. Motivated by these simulations, we study the existence of one-dimensional travelling wave solutions.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Lorenzi T, Lorz A, Perthame B (2016) On interfaces between cell populations with different mobilities. Kinetic and Related Models 10: 299–311. Available: http://dx.doi.org/10.3934/krm.2017012.
Publisher:
American Institute of Mathematical Sciences (AIMS)
Journal:
Kinetic and Related Models
Issue Date:
18-Nov-2016
DOI:
10.3934/krm.2017012
Type:
Article
ISSN:
1937-5093
Sponsors:
This work was supported in part by the French National Research Agency through the
Additional Links:
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=13322
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLorenzi, Tommasoen
dc.contributor.authorLorz, Alexanderen
dc.contributor.authorPerthame, Benoiten
dc.date.accessioned2017-01-29T13:51:37Z-
dc.date.available2017-01-29T13:51:37Z-
dc.date.issued2016-11-18en
dc.identifier.citationLorenzi T, Lorz A, Perthame B (2016) On interfaces between cell populations with different mobilities. Kinetic and Related Models 10: 299–311. Available: http://dx.doi.org/10.3934/krm.2017012.en
dc.identifier.issn1937-5093en
dc.identifier.doi10.3934/krm.2017012en
dc.identifier.urihttp://hdl.handle.net/10754/622760-
dc.description.abstractPartial differential equations describing the dynamics of cell population densities from a fluid mechanical perspective can model the growth of avascular tumours. In this framework, we consider a system of equations that describes the interaction between a population of dividing cells and a population of non-dividing cells. The two cell populations are characterised by different mobilities. We present the results of numerical simulations displaying two-dimensional spherical waves with sharp interfaces between dividing and non-dividing cells. Furthermore, we numerically observe how different ratios between the mobilities change the morphology of the interfaces, and lead to the emergence of finger-like patterns of invasion above a threshold. Motivated by these simulations, we study the existence of one-dimensional travelling wave solutions.en
dc.description.sponsorshipThis work was supported in part by the French National Research Agency through theen
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en
dc.relation.urlhttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=13322en
dc.subjectCell populationsen
dc.subjecttissue growthen
dc.subjectcancer invasionen
dc.subjectinterfacesen
dc.subjecttravelling wavesen
dc.subjectPattern formationen
dc.titleOn interfaces between cell populations with different mobilitiesen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalKinetic and Related Modelsen
dc.contributor.institutionSchool of Mathematics and Statistics, University of St Andrews, North Haugh, St Andrews, Fife, KY16 9SS, United Kingdomen
dc.contributor.institutionSorbonne Universités, UPMC Univ Paris 06, CNRS, INRIA, UMR 7598, Laboratoire Jacques-Louis Lions, Équipe MAMBA, 4, place Jussieu 75005, Paris, Franceen
kaust.authorLorz, Alexanderen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.