Dynamics of Localized Unimodal Patterns in Reaction-Diffusion Systems for Cell Polarization by Extracellular Signaling
| Autor: | Masataka Kuwamura, Sungrim Seirin-Lee, Shin-Ichiro Ei |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0301 basic medicine
Mathematical model Polarity (physics) Chemistry Applied Mathematics Dynamics (mechanics) reaction-diffusion system 01 natural sciences Quantitative Biology::Cell Behavior 010101 applied mathematics cell polarity 03 medical and health sciences 030104 developmental biology Cell polarity Reaction–diffusion system Biophysics Extracellular localized unimodal pattern extracellular signaling 0101 mathematics Conservation of mass |
| Zdroj: | SIAM Journal on Applied Mathematics. 78:3238-3257 |
| ISSN: | 1095-712X 0036-1399 |
| DOI: | 10.1137/18m1163749 |
| Popis: | In this paper, we study the dynamics of a localized unimodal pattern in reaction-diffusion systems with mass conservation, which are mathematical models for the polarity formation of cells. Our result provides a quantitatively precise characterization of the motion of the localized unimodal pattern, which suggests that the location of polarity peaks can be determined universally in a site where the maximal extracellular signal is present regardless of the details of the signaling pathways. |
| Databáze: | OpenAIRE |
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