How negative feedback from filamentous actin affects cell shapes and motility

Fuente: arXiv
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Autores principales: Hughes, Jack M., Algorta, Jupiter, Edelstein-Keshet, Leah
Formato: Preprint
Publicado: 2026
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author Hughes, Jack M.
Algorta, Jupiter
Edelstein-Keshet, Leah
author_facet Hughes, Jack M.
Algorta, Jupiter
Edelstein-Keshet, Leah
contents The crawling motility of many eukaryotic cells is driven by filamentous actin (F-actin), and regulated by a network of signaling proteins and lipids (including small GTPases). The tangle of positive and negative feedback loops gives rise to various experimentally observed dynamic patterns (``actin waves''). Here we consider a recent prototypical model for actin waves in which F-actin exerts negative feedback onto a GTPase. Guided by recent numerical PDE bifurcation analysis in Hughes (2025) and Hughes et al (2026), we explore cell shapes and motility associated with polar, oscillatory, and traveling waves solutions of a mass-conserved partial differential equation (PDE) model. We use Morpheus (cellular Potts) simulations to investigate the implications of such regimes of behavior on the shapes and motion of cells, and on transitions between modes of behavior. The model demonstrates various cell states, including resting (spatially uniform GTPase), polar cells (static ``zones'' of GTPase), and traveling waves along the cell edge. In some parameter regimes, such states can coexist, so that cells can transition from one behavior to another in response to noisy stimuli.
format Preprint
id arxiv_https___arxiv_org_abs_2602_08779
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle How negative feedback from filamentous actin affects cell shapes and motility
Hughes, Jack M.
Algorta, Jupiter
Edelstein-Keshet, Leah
Cell Behavior
92C37, 92C15, 35K57, 92C17, 37N25
The crawling motility of many eukaryotic cells is driven by filamentous actin (F-actin), and regulated by a network of signaling proteins and lipids (including small GTPases). The tangle of positive and negative feedback loops gives rise to various experimentally observed dynamic patterns (``actin waves''). Here we consider a recent prototypical model for actin waves in which F-actin exerts negative feedback onto a GTPase. Guided by recent numerical PDE bifurcation analysis in Hughes (2025) and Hughes et al (2026), we explore cell shapes and motility associated with polar, oscillatory, and traveling waves solutions of a mass-conserved partial differential equation (PDE) model. We use Morpheus (cellular Potts) simulations to investigate the implications of such regimes of behavior on the shapes and motion of cells, and on transitions between modes of behavior. The model demonstrates various cell states, including resting (spatially uniform GTPase), polar cells (static ``zones'' of GTPase), and traveling waves along the cell edge. In some parameter regimes, such states can coexist, so that cells can transition from one behavior to another in response to noisy stimuli.
title How negative feedback from filamentous actin affects cell shapes and motility
topic Cell Behavior
92C37, 92C15, 35K57, 92C17, 37N25
url https://arxiv.org/abs/2602.08779