TY  - JOUR
A1  - Beta, Carsten
A1  - Gov, Nir S.
A1  - Yochelis, Arik
T1  - Why a Large-Scale Mode Can Be Essential for Understanding Intracellular Actin Waves
JF  - Cells
N2  - 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.
KW  - nonlinear waves
KW  - actin polymerization
KW  - bifurcation theory
KW  - mass conservation
KW  - spatial localization
KW  - pattern formation
KW  - activator–inhibitor models
Y1  - 2020
U6  - https://doi.org/10.3390/cells9061533
SN  - 2073-4409
VL  - 9
IS  - 6
PB  - MDPI
CY  - Basel
ER  - 
TY  - GEN
A1  - Beta, Carsten
A1  - Gov, Nir S.
A1  - Yochelis, Arik
T1  - Why a Large-Scale Mode Can Be Essential for Understanding Intracellular Actin Waves
T2  - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe
N2  - 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.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 967 
KW  - nonlinear waves
KW  - actin polymerization
KW  - bifurcation theory
KW  - mass conservation
KW  - spatial localization
KW  - pattern formation
KW  - activator–inhibitor models
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-473588
SN  - 1866-8372
IS  - 967
ER  -