Per citar aquest document: http://ddd.uab.cat/record/69582
Mathematical description of bacterial traveling pulses
Bournaveas, Nikolaos
Buguin, Axel
Calvez, Vincent
Perthame, Benoît
Saragosti, Jonathan
Silberzan, Pascal
Centre de Recerca Matemàtica

Publicació: Centre de Recerca Matemàtica 2010
Descripció: 22 p.
Col·lecció: Prepublicacions del Centre de Recerca Matemàtica ; 939
Resum: The Keller-Segel system has been widely proposed as a model for bacterial waves driven by chemotactic processes. Current experiments on E. coli have shown precise structure of traveling pulses. We present here an alternative mathematical description of traveling pulses at a macroscopic scale. This modeling task is complemented with numerical simulations in accordance with the experimental observations. Our model is derived from an accurate kinetic description of the mesoscopic run-and-tumble process performed by bacteria. This model can account for recent experimental observations with E. coli. Qualitative agreements include the asymmetry of the pulse and transition in the collective behaviour (clustered motion versus dispersion). In addition we can capture quantitatively the main characteristics of the pulse such as the speed and the relative size of tails. This work opens several experimental and theoretical perspectives. Coefficients at the macroscopic level are derived from considerations at the cellular scale. For instance the stiffness of the signal integration process turns out to have a strong effect on collective motion. Furthermore the bottom-up scaling allows to perform preliminary mathematical analysis and write efficient numerical schemes. This model is intended as a predictive tool for the investigation of bacterial collective motion.
Drets: Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús Creative Commons
Llengua: Anglès.
Document: preprint
Matèria: Simulació, Mètodes de

Adreça alternativa: http://hdl.handle.net/2072/92225


22 p, 1.0 MB

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