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 language | English |
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Pages (from-to) | 29-48 |
Number of pages | 20 |
Journal | Kinetic and Related Models |
Volume | 1 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 2008 |
Keywords
- kinetic model
- bacterial motion
- chemotaxis
- dispersion estimates
- Strichartz estimates
- internal variables