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The Effect of Substratum Stiffness and Stochasticity on Cell Reorientation over a Stretched Substratum

SEMA SIMAI Springer Series, ISSN: 2199-305X, Vol: 38, Page: 59-76
2024
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Book Chapter Description

It is observed that when cells are seeded on a substrate subject to a cyclic deformation, they tend to reorient their major axis either perpendicularly or forming an oblique angle with the main stretching direction. However, this does not occur any longer if the substrate is too soft, or if the frequency and amplitude of imposed deformation are too small. In order to explain these transitions, in this chapter we respectively schematize the cell as a set of discrete elements and deal with the random behaviour of cell response deducing a Fokker-Planck equation, that can be also related to an optimal control strategy the cell may wish to pursue.

Bibliographic Details

Annachiara Colombi; Nadia Loy; Luigi Preziosi

Springer Science and Business Media LLC

Engineering; Mathematics; Agricultural and Biological Sciences; Physics and Astronomy; Chemical Engineering

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