St Andrews Research Repository

St Andrews University Home
View Item 
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.

Modeling multiple taxis : tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence

Thumbnail
View/Open
Kolbe_2022_DCDS_2taxis_AAM.pdf (8.962Mb)
Date
01/01/2021
Author
Kolbe, Niklas
Sfakianakis, Nikolaos
Stinner, Christian
Surulescu, Christina
Lenz, Jonas
Keywords
Multiple taxis and review of models
Tumor invasion
Interspecies repellence
Global existence
Numerical simulations
QA Mathematics
RC0254 Neoplasms. Tumors. Oncology (including Cancer)
I-PW
AC
Metadata
Show full item record
Altmetrics Handle Statistics
Altmetrics DOI Statistics
Abstract
We provide a short review of existing models with multiple taxis performed by (at least) one species and consider a new mathematical model for tumor invasion featuring two mutually exclusive cell phenotypes (migrating and proliferating). The migrating cells perform nonlinear diffusion and two types of taxis in response to non-diffusing cues: away from proliferating cells and up the gradient of surrounding tissue. Transitions between the two cell subpopulations are influenced by subcellular (receptor binding) dynamics, thus conferring the setting a multiscale character. We prove global existence of weak solutions to a simplified model version and perform numerical simulations for the full setting under several phenotype switching and motility scenarios. We also compare (via simulations) this model with the corresponding haptotaxis-chemotaxis one featuring indirect chemorepellent production and provide a discussion about possible model extensions and mathematical challenges.
Citation
Kolbe , N , Sfakianakis , N , Stinner , C , Surulescu , C & Lenz , J 2021 , ' Modeling multiple taxis : tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence ' , Discrete and Continuous Dynamical Systems - Series B , vol. 26 , no. 1 , pp. 443-481 . https://doi.org/10.3934/dcdsb.2020284
Publication
Discrete and Continuous Dynamical Systems - Series B
Status
Peer reviewed
DOI
https://doi.org/10.3934/dcdsb.2020284
ISSN
1531-3492
Type
Journal article
Rights
Copyright © 2021 American Institute of Mathematical Sciences. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.3934/dcdsb.2020284.
Description
N. Kolbe gratefully acknowledges the support by the International Research Fellowship of the Japanese Society for the Promotion of Science. C. Surulescu was partially supported by the Federal Ministry of Education and Research BMBF, project GlioMaTh 05M2016.
Collections
  • University of St Andrews Research
URL
https://arxiv.org/abs/2005.01444
URI
http://hdl.handle.net/10023/25577

Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

Advanced Search

Browse

All of RepositoryCommunities & CollectionsBy Issue DateNamesTitlesSubjectsClassificationTypeFunderThis CollectionBy Issue DateNamesTitlesSubjectsClassificationTypeFunder

My Account

Login

Open Access

To find out how you can benefit from open access to research, see our library web pages and Open Access blog. For open access help contact: openaccess@st-andrews.ac.uk.

Accessibility

Read our Accessibility statement.

How to submit research papers

The full text of research papers can be submitted to the repository via Pure, the University's research information system. For help see our guide: How to deposit in Pure.

Electronic thesis deposit

Help with deposit.

Repository help

For repository help contact: Digital-Repository@st-andrews.ac.uk.

Give Feedback

Cookie policy

This site may use cookies. Please see Terms and Conditions.

Usage statistics

COUNTER-compliant statistics on downloads from the repository are available from the IRUS-UK Service. Contact us for information.

© University of St Andrews Library

University of St Andrews is a charity registered in Scotland, No SC013532.

  • Facebook
  • Twitter