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

Niklas Kolbe*, Nikolaos Sfakianakis, Christian Stinner, Christina Surulescu, Jonas Lenz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
4 Downloads (Pure)

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.

Original languageEnglish
Pages (from-to)443-481
Number of pages39
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume26
Issue number1
Early online date1 Sept 2020
DOIs
Publication statusPublished - 1 Jan 2021

Keywords

  • Multiple taxis and review of models
  • Tumor invasion
  • Interspecies repellence
  • Global existence
  • Numerical simulations

Fingerprint

Dive into the research topics of 'Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence'. Together they form a unique fingerprint.

Cite this