97 citations · 97 across the 1 of their papers we have counts for
3 papers
q-bio.CB2020★ 97 cited
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…
q-bio.CB2019
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…
math.AP2019
Nonlocal Adhesion Models for Microorganisms on Bounded Domains
Thomas Hillen, Andreas Buttenschön
In 2006 Armstrong, Painter and Sherratt formulated a non-local differential equation model for cell-cell adhesion. For the one dimensional case we derive various types of adhesive,…