97 citations · 97 across the 3 of their papers we have counts for
5 papers
Clustering versus sorting: a mass-conserving reaction-diffusion model of planar polarity puncta
Sk Raj Hossein, Eman Alwani, Andreas Buttenschön +1
Planar cell polarity is preceded by the clustering of polarity proteins into discrete, low-turnover membrane subdomains (puncta), yet the minimal interactions that nucleate puncta,…
Support Graph Preconditioners for Off-Lattice Cell-Based Models
Justin Steinman, Andreas Buttenschön
Off-lattice agent-based models (or cell-based models) of multicellular systems are increasingly used to create in-silico models of in-vitro and in-vivo experimental setups of cells…
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…
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…
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,…