97 citations · 398 across the 9 of their papers we have counts for
11 papers
Bacterial aggregation in the presence of directed motion
Timothy Power, Hildur Knutsdottir, Leah Edelstein-Keshet +1
We model directed motion of cells that aggregate into a cluster in the presence of chemotaxis or fluid transport. Starting from a stochastic agent-based model (ABM) of Galante \& L…
Cellular tango: How extracellular matrix adhesion choreographs Rac-Rho signaling and cell movement
Elisabeth G. Rens, Leah Edelstein-Keshet
The small GTPases Rac and Rho are known to regulate eukaryotic cell shape, promoting front protrusion (Rac) or rear retraction (Rho) of the cell edge. Such cell deformation changes…
Bridging from single to collective cell migration: A review of models and links to experiments
Andreas Buttenschön, Leah Edelstein-Keshet
Mathematical and computational models can assist in gaining an understanding of cell behavior at many levels of organization. Here, we review models in the literature that focus on…
Spots, strips, and spiral waves in models for static and motile cells
Yue Liu, Elisabeth G. Rens, Leah Edelstein-Keshet
The polarization and motility of eukaryotic cells depends on assembly and contraction of the actin cytoskeleton and its regulation by proteins called GTPases. The activity of GTPas…
Cell size, mechanical tension, and GTPase signaling in the Single Cell
Andreas Buttenschön, Yue Liu, Leah Edelstein-Keshet
Cell polarization requires redistribution of specific proteins to the nascent front and back of a eukarytotic cell. Among these proteins are Rac and Rho, members of the small GTPas…
A coupled bulk-surface model for cell polarisation
Davide Cusseddu, Leah Edelstein-Keshet, John A. Mackenzie +2
Several cellular activities, such as directed cell migration, are coordinated by an intricate network of biochemical reactions which lead to a polarised state of the cell, in which…
A mechano-chemical feedback underlies co-existence of qualitatively distinct cell polarity patterns within diverse cell populations
JinSeok Park, William R. Holmes, Sung-Hoon Lee +7
Cell polarization and directional cell migration can display random, persistent and oscillatory dynamic patterns. However, it is not clear if these polarity patterns can be explain…
A mathematical model coupling polarity signaling to cell adhesion explains diverse cell migration patterns
William R. Holmes, JinSeok Park, Andre Levchenko +1
Cells crawling through tissues migrate inside a complex fibrous environment called the extracellular matrix (ECM), which provides signals regulating motility. Here we investigate o…
Synthetic spatially graded Rac activation drives directed cell polarization and locomotion
Benjamin Lin, William R. Holmes, ChiaoChun Wang +5
Migrating cells possess intracellular gradients of Rho GTPases, but it is unknown whether these shallow gradients themselves can induce motility. Here we describe a new method to p…
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
Yoichiro Mori, Alexandra Jilkine, Leah Edelstein-Keshet
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of…
A computational model of cell polarization and motility coupling mechanics and biochemistry
Ben Vanderlei, James J. Feng, Leah Edelstein-Keshet
The motion of a eukaryotic cell presents a variety of interesting and challenging problems from both a modeling and a computational perspective. The processes span many spatial sca…