A novel derivation of rigorous macroscopic limits from a micro-meso description of signal-triggered cell migration in fibrous environments

Anna Zhigun, Christina Surulescu

Research output: Contribution to journalArticlepeer-review

Abstract

In this work we upscale a prototypical kinetic transport equation which models a cell population moving in a fibrous environment with a chemo- or haptotactic signal influencing both the direction and the magnitude of the cell velocity. The presented approach to scaling does not rely on orthogonality and treats parabolic and hyperbolic scalings in a unified manner. It is shown that the steps of the formal limit procedures are mirrored by rigorous operations with finite measures provided that the measure-valued position-direction fiber distribution enjoys some spacial continuity.
Original languageEnglish
JournalSIAM Journal on Applied Mathematics
Publication statusAccepted - 01 Sep 2021

Keywords

  • math.AP
  • 35B27 35D30 35Q49 45K05 92C17

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