38 citations · 102 across the 16 of their papers we have counts for
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q-bio.CB2017★ 8 cited
Minimal Model of Directed Cell Motility on Patterned Substrates
Matthew S. Mizuhara, Leonid Berlyand, Igor S. Aronson
Crawling cell motility is vital to many biological processes such as wound healing and the immune response. Using a minimal model we investigate the effects of patterned substrate…
math.AP2017★ 1 cited
Uniqueness and traveling waves in a cell motility model
Matthew S. Mizuhara, Peng Zhang
We study a non-linear and non-local evolution equation for curves obtained as the sharp interface limit of a phase-field model for crawling motion of eukaryotic cells on a substrat…