A mathematical model is proposed for shape evolution and locomotion of fish epidermal keratocytes on elastic substrates. The model is based on mechanosensing concepts: cells apply contractile forces onto the elastic substrate, while cell shape evolution depends locally on the substrate stress generated by themselves or external mechanical stimuli acting on the substrate. We use the level set method to study the behaviour of the model numerically, and predict a number of distinct phenomena observed in experiments, such as (i) symmetry breaking from the stationary centrosymmetric to the well-known steadily propagating crescent shape, (ii) asymmetric bipedal oscillations and travelling waves in the lamellipodium leading edge, (iii) response to remote mechanical stress externally applied to the substrate (tensotaxis) and (iv) changing direction of motion towards an interface with a rigid substrate (durotaxis).
A minimal mechanosensing model predicts keratocyte evolution on flexible substrates
Zhiwen Zhang,P. Rosakis,T. Hou,G. Ravichandran
Published 2018 in Journal of the Royal Society Interface
ABSTRACT
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- Publication year
2018
- Venue
Journal of the Royal Society Interface
- Publication date
2018-03-25
- Fields of study
Biology, Materials Science, Physics, Engineering, Medicine
- Identifiers
- External record
- Source metadata
Semantic Scholar, PubMed
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