Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables

Nikolaos Bournaveas, Vincent Calvez

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is concerned with the kinetic model of Othmer-Dunbar-Alt for bacterial motion. Following a previous work, we apply the dispersion and Strichartz estimates to prove global existence under several borderline growth assumptions on the turning kernel. In particular we study the kinetic model with internal variables taking into account the complex molecular network inside the cell.

Original languageEnglish
Pages (from-to)29-48
Number of pages20
JournalKinetic and Related Models
Volume1
Issue number1
DOIs
Publication statusPublished - Mar 2008

Keywords

  • kinetic model
  • bacterial motion
  • chemotaxis
  • dispersion estimates
  • Strichartz estimates
  • internal variables

Cite this