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Cell proliferation, apoptosis, and myosin-dependent contraction can generate elastic stress and strain in living tissues, which may be dissipated by internal rearrangement through cell topological transition and cytoskeletal reorganization.…

Biological Physics · Physics 2021-12-07 Chaozhen Wei , Min Wu

We introduce a novel three-dimensional (3D) traction force microscopy (TFM) method motivated by the recent discovery that cells adhering on plane surfaces exert both in-plane and out-of-plane traction stresses. We measure the 3D deformation…

Cell blebs are protrusions of the cell membrane and can be instrumental for cell migration. We derive a continuum model for the mechanical and geometrical aspects of the onset of blebbing in terms of a force balance. It is abstract and…

Numerical Analysis · Mathematics 2020-03-03 Björn Stinner , Andreas Dedner , Adam Nixon

Modeling membrane interactions with arbitrarily shaped colloidal particles, such as environmental micro- and nanoplastics, at the cell scale remains particularly challenging, owing to the complexity of particle geometries and the need to…

Soft Condensed Matter · Physics 2025-09-15 Didarul Ahasan Redwan , Justin Reicher , Xin Yong

We demonstrate how three-dimensional fluid flow simulations can be carried out on the Cellular Automata Machine 8 (CAM-8), a special-purpose computer for cellular-automata computations. The principal algorithmic innovation is the use of a…

Heat and fluid flow in low Prandtl number melting pools during laser processing of materials are sensitive to the prescribed boundary conditions, and the responses are highly nonlinear. Previous studies have shown that fluid flow in melt…

Fluid Dynamics · Physics 2020-09-25 Amin Ebrahimi , Chris R. Kleijn , Ian M. Richardson

The fluid dynamics video presented here outlines recent advances in the simulation of multiphase cellular blood flow through the direct numerical simulations of deformable red blood cells (RBCs) demonstrated through several numerical…

Fluid Dynamics · Physics 2010-10-18 Daniel A. Reasor , Jonathan R. Clausen , Brian M. Yun , Cyrus K. Aidun

Biological cells sense and respond to mechanical forces, but how such a mechanosensing proccess takes place in a nonlinear inhomogeneous fibrous matrix remains unknown. We show that cells in a fibrous matrix induce deformation fields that…

Biological Physics · Physics 2015-06-10 Jacob Notbohm , Ayelet Lesman , Phoebus Rosakis , David A. Tirrell , Guruswami Ravichandran

Many living and physical systems such as cell aggregates, tissues or bacterial colonies behave as unconventional systems of particles that are strongly constrained by volume exclusion and shape interactions. Understanding how these…

Quantitative Methods · Quantitative Biology 2026-05-20 Antoine Diez , Jean Feydy

With the growing maturity of additive manufacturing, the fabrication of architected or lattice-based metamaterials has become a reality for industrial applications. These materials combine lightweight design with tailored mechanical…

Numerical Analysis · Mathematics 2026-03-12 Clément Guillet , Thibaut Hirschler , Pierre Jolivet , Pablo Antolin , Robin Bouclier

The aim of this paper is to propose a new numerical model to simulate 2D vesicles interacting with a newtonian fluid. The inextensible membrane is modeled by a chain of circular rigid particles which are maintained in cohesion by using two…

Mathematical Physics · Physics 2012-02-15 Mourad Ismail , Aline Lefebvre-Lepot

Computational biomechanics of the brain for neurosurgery is an emerging area of research recently gaining in importance and practical applications. This review paper presents the contributions of the Intelligent Systems for Medicine…

Computational Engineering, Finance, and Science · Computer Science 2019-04-03 K. Miller , G. R. Joldes , G. Bourantas , S. K. Warfield , D. E. Hyde , R. Kikinis , A. Wittek

The trade-off between model fidelity and computational cost remains a central challenge in the computational modeling of extrusion-based 3D printing, particularly for real time optimization and control. Although high fidelity simulations…

Fluid Dynamics · Physics 2026-04-14 Mandana Mohammadi Looey , Marissa Loraine Scalise , Amrita Basak , Satadru Dey

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

In this chapter, we analyze the steady-state microscale fluid--structure interaction (FSI) between a generalized Newtonian fluid and a hyperelastic tube. Physiological flows, especially in hemodynamics, serve as primary examples of such FSI…

Fluid Dynamics · Physics 2019-03-12 Vishal Anand , Ivan C. Christov

Animal cells in tissues are supported by biopolymer matrices, which typically exhibit highly nonlinear mechanical properties. While the linear elasticity of the matrix can significantly impact cell mechanics and functionality, it remains…

We present a continuum model trained on molecular dynamics (MD) simulations for cellular membranes composed of an arbitrary number of lipid types. The model is constructed within the formalism of dynamic density functional theory and can be…

A popular version of the finite strain Maxwell fluid is considered, which is based on the multiplicative decomposition of the deformation gradient tensor. The model combines Newtonian viscosity with hyperelasticity of Mooney-Rivlin type; it…

Numerical Analysis · Mathematics 2021-03-15 A. V. Shutov

During embryonic morphogenesis, tissues undergo dramatic deformations in order to form functional organs. Similarly, in adult animals, living cells and tissues are continually subjected to forces and deformations. Therefore, the success of…

Soft Condensed Matter · Physics 2024-05-06 Michael J. Hertaeg , Suzanne M. Fielding , Dapeng Bi

The mechanical properties of cells, which influence the properties of the tissue they belong to, are controlled by various mechanisms. Bi et al. theoretically demonstrated that density-independent rigidity transition occurs in…

Soft Condensed Matter · Physics 2018-02-27 H. Nogucci
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