Phenomenological modeling of durotaxis

Yu, Guangyuan; Feng, Junbo; Man, Haoran; Levine, Herbert

doi:10.1103/physreve.96.010402

Cited by 28 publications

(33 citation statements)

References 33 publications

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“…These observations, combined with those in Refs. [35,50,51] which demonstrate a net flux of persistent random walkers toward regions of larger persistence, ultimately explain the origin of topotaxis in our system. ABPs migrate, on average, toward regions of higher persistence, hence to regions of lower obstacle density.…”

Section: B the Physical Origin Of Topotaxismentioning

confidence: 63%

“…As is the case in our system (Sec. III A), this effect is stronger in the presence of larger gradients [35,50]. In order to understand whether or not such a space-dependent persistence might explain the observed topotactic motion, we study and characterize the motion of ABPs in regular square lattices.…”

Section: B the Physical Origin Of Topotaxismentioning

confidence: 99%

“…To gain more insight into the physical origin of topotaxis, we investigate how particle motility depends on the local obstacle spacing. In doing so, we take inspiration from recent works [35,50,51] that have shown, in the context of durotaxis, that persistent random walkers, moving in a spatial gradient of a position-dependent persistence length, show an average drift toward the region with larger persistence. As is the case in our system (Sec.…”

Section: B the Physical Origin Of Topotaxismentioning

confidence: 99%

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Topotaxis of active Brownian particles

et al. 2020

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Recent experimental studies have demonstrated that cellular motion can be directed by topographical gradients, such as those resulting from spatial variations in the features of a micropatterned substrate. This phenomenon, known as topotaxis, is especially prominent among cells persistently crawling within a spatially varying distribution of cell-sized obstacles. In this article we introduce a toy model of topotaxis based on active Brownian particles constrained to move in a lattice of obstacles, with space-dependent lattice spacing. Using numerical simulations and analytical arguments, we demonstrate that topographical gradients introduce a spatial modulation of the particles' persistence, leading to directed motion toward regions of higher persistence. Our results demonstrate that persistent motion alone is sufficient to drive topotaxis and could serve as a starting point for more detailed studies on self-propelled particles and cells. arXiv:1908.06078v1 [cond-mat.soft]

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Section: B the Physical Origin Of Topotaxismentioning

confidence: 63%

Section: B the Physical Origin Of Topotaxismentioning

confidence: 99%

Section: B the Physical Origin Of Topotaxismentioning

confidence: 99%

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Topotaxis of active Brownian particles

et al. 2020

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“…To understand mechanisms of the durotaxis, several computational models have been developed with different phenomenological assumptions [27][28][29][30][31][32] . In most previous models, the mechanics of a substrate was not considered explicitly; cells in the models sense local stiffness imposed on the substrate somehow and change a certain property, depending on the sensed stiffness.…”

Section: Introductionmentioning

confidence: 99%

“…In most previous models, the mechanics of a substrate was not considered explicitly; cells in the models sense local stiffness imposed on the substrate somehow and change a certain property, depending on the sensed stiffness. For example, it was assumed that the persistency and speed of migration 31 , cell spreading 28 , cell traction forces 30 , or adhesion strength 32 vary as a function of local substrate stiffness. Although these models succeeded to recapitulate durotactic behaviors thanks to the phenomenological assumptions, insights provided from these models are inevitably limited 4 because the models cannot explain how cells sense local stiffness and make decisions based on the sensed stiffness.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Interactions between a Cell and an Extracellular Environment Facilitate Durotactic Cell Migration

Hassan¹,

Biel²,

Kim³

2018

Preprint

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Cell migration is a fundamental process in biological systems, playing an important role for diverse physiological processes. Cells often exhibit directed migration in a specific direction in response to various types of cues. In particular, cells are able to sense the rigidity of surrounding environments and then migrate towards stiffer regions. To understand this mechanosensitive behavior called durotaxis, several computational models have been developed.However, most of the models made phenomenological assumptions to recapitulate durotactic behaviors, significantly limiting insights provided from these studies. In this study, we developed a computational biomechanical model without any phenomenological assumption to illuminate intrinsic mechanisms of durotactic behaviors of cells migrating on a two-dimensional substrate.The model consists of a simplified cell generating contractile forces and a deformable substrate coarse-grained into an irregular triangulated mesh. Using the model, we demonstrated that durotactic behaviors emerge from purely mechanical interactions between the cell and the underlying substrate. We investigated how durotactic migration is regulated by biophysical properties of the substrate, including elasticity, viscosity, and stiffness profile.

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Introduction to Models of Cell Motility

Deng

Levine

2022

Graduate Texts in Physics

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Phenomenological modeling of durotaxis

Cited by 28 publications

References 33 publications

Topotaxis of active Brownian particles

Topotaxis of active Brownian particles

Mechanical Interactions between a Cell and an Extracellular Environment Facilitate Durotactic Cell Migration

Introduction to Models of Cell Motility

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