Why a Large-Scale Mode Can Be Essential for Understanding Intracellular Actin Waves
- During the last decade, intracellular actin waves have attracted much attention due to their essential role in various cellular functions, ranging from motility to cytokinesis. Experimental methods have advanced significantly and can capture the dynamics of actin waves over a large range of spatio-temporal scales. However, the corresponding coarse-grained theory mostly avoids the full complexity of this multi-scale phenomenon. In this perspective, we focus on a minimal continuum model of activator–inhibitor type and highlight the qualitative role of mass conservation, which is typically overlooked. Specifically, our interest is to connect between the mathematical mechanisms of pattern formation in the presence of a large-scale mode, due to mass conservation, and distinct behaviors of actin waves.
| Author details: | Carsten BetaORCiDGND, Nir S. GovORCiD, Arik YochelisORCiD |
|---|---|
| DOI: | https://doi.org/10.3390/cells9061533 |
| ISSN: | 2073-4409 |
| Title of parent work (English): | Cells |
| Publisher: | MDPI |
| Place of publishing: | Basel |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/06/23 |
| Publication year: | 2020 |
| Release date: | 2020/07/22 |
| Tag: | actin polymerization; activator–inhibitor models; bifurcation theory; mass conservation; nonlinear waves; pattern formation; spatial localization |
| Volume: | 9 |
| Issue: | 6 |
| Number of pages: | 18 |
| Funding institution: | Universität Potsdam |
| Funding number: | PA 2020_074 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 57 Biowissenschaften; Biologie / 570 Biowissenschaften; Biologie |
| Peer review: | Referiert |
| Grantor: | Publikationsfonds der Universität Potsdam |
| Publishing method: | Open Access / Gold Open-Access |
| License (German): |  CC-BY - Namensnennung 4.0 International |
| External remark: | Zweitveröffentlichung in der Schriftenreihe Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ; 967 |
