Mechanics of 3D cell–hydrogel interactions: experiments, models, and mechanisms

FJ Vernerey, S Lalitha Sridhar, A Muralidharan… - Chemical …, 2021 - ACS Publications
Hydrogels are highly water-swollen molecular networks that are ideal platforms to create
tissue mimetics owing to their vast and tunable properties. As such, hydrogels are promising …

Unravelling cell migration: defining movement from the cell surface

F Merino-Casallo, MJ Gomez-Benito… - Cell adhesion & …, 2022 - Taylor & Francis
Cell motility is essential for life and development. Unfortunately, cell migration is also linked
to several pathological processes, such as cancer metastasis. Cells' ability to migrate relies …

The phase field method for geometric moving interfaces and their numerical approximations

Q Du, X Feng - Handbook of numerical analysis, 2020 - Elsevier
This chapter surveys recent numerical advances in the phase field method for geometric
surface evolution and related geometric nonlinear partial differential equations (PDEs) …

Confinement and substrate topography control cell migration in a 3D computational model

B Winkler, IS Aranson, F Ziebert - Communications Physics, 2019 - nature.com
Cell movement in vivo is typically characterized by strong confinement and heterogeneous,
three-dimensional environments. Such external constraints on cell motility are known to play …

Phase-field modeling of individual and collective cell migration

A Moure, H Gomez - Archives of Computational Methods in Engineering, 2021 - Springer
Cell motion is crucial in human health and development. Cells may migrate individually or in
highly coordinated groups. Cell motion results from complex intra-and extra-cellular …

Isogeometric analysis of hydrodynamics of vesicles using a monolithic phase-field approach

N Valizadeh, T Rabczuk - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
In this paper, we present an isogeometric analysis for studying the dynamical behavior of
inextensible vesicles under an external fluid flow with inertial forces. We consider a phase …

Simulation of the phase field Cahn–Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method

V Mohammadi, M Dehghan - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
The main aim of this research work is to find the numerical solution based on a meshless
technique for both the time-dependent Cahn–Hilliard and tumor growth partial differential …

A review on computational modelling of phase-transition problems

H Gomez, M Bures, A Moure - … Transactions of the …, 2019 - royalsocietypublishing.org
Phase-transition problems are ubiquitous in science and engineering. They have been
widely studied via theory, experiments and computations. This paper reviews the main …

Modeling cell migration regulated by cell extracellular-matrix micromechanical coupling

Y Zheng, H Nan, Y Liu, Q Fan, X Wang, R Liu, L Liu… - Physical Review E, 2019 - APS
Cell migration in fibrous extracellular matrix (ECM) is crucial to many physiological and
pathological processes such as tissue regeneration, immune response, and cancer …

Effect of Porous Substrate Topographies on Cell Dynamics: A Computational Study

AR Gonthier, EL Botvinick, A Grosberg… - … Biomaterials Science & …, 2023 - ACS Publications
Controlling cell–substrate interactions via the microstructural characteristics of biomaterials
offers an advantageous path for modulating cell dynamics, mechanosensing, and migration …