TY - JOUR
T1 - Reaction-diffusion-advection approach to spatially localized treadmilling aggregates of molecular motors
AU - Yochelis, Arik
AU - Bar-On, Tomer
AU - Gov, Nir S.
N1 - Funding Information:
This work was supported in part by the Adelis foundation (A.Y.) and ISF grant 580/12 together with the historic generosity of the Perlman family (N.S.G.). N.S.G is the incumbent of the Lee and William Abramowitz Professorial Chair of Biophysics.
Publisher Copyright:
© 2016 Elsevier B.V. All rights reserved.
PY - 2016/4/1
Y1 - 2016/4/1
N2 - Unconventional myosins belong to a class of molecular motors that walk processively inside cellular protrusions towards the tips, on top of actin filament. Surprisingly, in addition, they also form retrograde moving self-organized aggregates. The qualitative properties of these aggregates are recapitulated by a mass conserving reaction-diffusion-advection model and admit two distinct families of modes: traveling waves and pulse trains. Unlike the traveling waves that are generated by a linear instability, pulses are nonlinear structures that propagate on top of linearly stable uniform backgrounds. Asymptotic analysis of isolated pulses via a simplified reaction-diffusion-advection variant on large periodic domains, allows to draw qualitative trends for pulse properties, such as the amplitude, width, and propagation speed. The results agree well with numerical integrations and are related to available empirical observations.
AB - Unconventional myosins belong to a class of molecular motors that walk processively inside cellular protrusions towards the tips, on top of actin filament. Surprisingly, in addition, they also form retrograde moving self-organized aggregates. The qualitative properties of these aggregates are recapitulated by a mass conserving reaction-diffusion-advection model and admit two distinct families of modes: traveling waves and pulse trains. Unlike the traveling waves that are generated by a linear instability, pulses are nonlinear structures that propagate on top of linearly stable uniform backgrounds. Asymptotic analysis of isolated pulses via a simplified reaction-diffusion-advection variant on large periodic domains, allows to draw qualitative trends for pulse properties, such as the amplitude, width, and propagation speed. The results agree well with numerical integrations and are related to available empirical observations.
KW - Molecular-motors
KW - Pattern formation
KW - Pulses
UR - http://www.scopus.com/inward/record.url?scp=84956627120&partnerID=8YFLogxK
U2 - 10.1016/j.physd.2015.10.023
DO - 10.1016/j.physd.2015.10.023
M3 - Article
AN - SCOPUS:84956627120
SN - 0167-2789
VL - 318-319
SP - 84
EP - 90
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
ER -