Mechanical modeling of collective cell migration: An agent-based and continuum material approach

Autores

Gonzalez-Valverde, I; Garcia-Aznar, JM

Revista

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Año: 2018 Volumen: 337 Páginas: 246-262

Editor:

ELSEVIER SCIENCE SA

DOI:

10.1016/j.cma.2018.03.036

Resumen

We develop a novel modeling approach that combines a discrete agent-based model and a continuum material model to simulate collective cell migration in epithelial layers. In this approach, cells are represented as particles located at their geometrical center, but also as a polygonal body derived from the Voronoi diagram. Furthermore, we model the tissue as a continuum medium with different spatial domains that represent cell and substrate materials. In fact, the mechanical behavior of each domain is affected by the presence of cells from the discrete model. Moreover, we solve this mechanical problem using the finite element method (FEM). The forces generated by cells are projected to the FE mesh, that is created dynamically during the simulation from the discrete cell representation. After the FE resolution, we use the mesh displacements to determine the new cell positions in the agent-based model. Finally, to demonstrate the potential of this approach to model epithelial tissue mechanics, we simulate two well-studied cases of collective cell migration: durotaxis and gap closure. We use the experimental data from the literature to validate our numerical results. Therefore, the modeling strategy here presented offers a new perspective for a deeper understanding of tissue mechanics that emerge from cell dynamics in epithelial layers. (C) 2018 Elsevier B. V. All rights reserved.

Palabras clave

Cell ; mechanics ; Finite ; element ; method ; Agent-based ; Particle ; modeling ; Gap ; closure ; Durotaxis

Afiliación

Garcia-Aznar, JM (Reprint Author), Univ Zaragoza, Aragon Inst Engn Res I3A, Dept Mech Engn, M2BE, Zaragoza, Spain.
Gonzalez-Valverde, Ismael; Manuel Garcia-Aznar, Jose, Univ Zaragoza, Aragon Inst Engn Res I3A, Dept Mech Engn, M2BE, Zaragoza, Spain.