Shape regulation generates elastic interaction between living cells

Abstract

The organization of live cells to tissues is associated with the mechanical interaction between cells, which is mediated through their elastic environment. We model cells as spherical active force dipoles surrounded by an infinite elastic matrix, and analytically evaluate the interaction energy for different scenarios of their regulatory behavior. We obtain attraction for homeostatic (set point) forces and repulsion for homeostatic displacements. When the translational motion of the cells is regulated, the interaction energy decays with distance as $1/d^4$, while when it is not regulated the energy decays as $1/d^6$. This arises from the same reasons as the van der Waals interaction between induced electric dipoles.

References in corpus (9)

• Physics of adherent cells
• Long Range Force Transmission in Fibrous Matrices Enabled by Tension-Driven Alignment of Fibers
• Fiber networks amplify active stress
• Elastic Interactions of Cells
• Elastic interactions of active cells with soft materials
• Microbuckling of Fibrin Provides a Mechanism for Cell Mechanosensing
• A Model for Compression-Weakening Materials and the Elastic Fields due to Contractile Cells
• Scaling laws for the response of nonlinear elastic media with implications for cell mechanics
• Dynamics in Steady State In Vitro Acto-Myosin Networks

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• A Minimal Mechanosensing Model Predicts Keratocyte Evolution on Flexible Substrates
• Mean-field interactions between living cells in linear and nonlinear elastic matrices
• Emergent clustering due to quorum sensing interactions in active matter
• Many-body interactions between contracting living cells