Short Review of Computational Models for Single Cell Deformation and Migration

Vermolen Fj

doi:10.4172/2168-9431.s1-002

Abstract

This short review communication aims at enumerating several modeling efforts that have been performed to model cell migration and deformation. To optimize and improve medical treatments against diseases like cancer, ischemic wounds or pressure ulcers, it is of vital importance to understand the underlying biological mechanisms. Such biological mechanisms also take place on a cellular scale, where cells are known to migrate, proliferate, and differentiate and to die.

Highlights

Delft Institute of Applied Mathematics, Delft University of Technology, The Netherlands. This short review communication aims at enumerating several modeling efforts that have been performed to model cell migration and deformation
To optimize and improve medical treatments against diseases like cancer, ischemic wounds or pressure ulcers, it is of vital importance to understand the underlying biological mechanisms
Cell migration is necessary for constituent cells and immune cells to reach the damage area or carcinoma

Summary

Vermolen FJ*

One can use the same lattice points as a grid on which one approximates field variables such as a concentration of a chemical [1] These models do not incorporate a mesh on the domain of computation to locate the cells, but merely contain a mesh on the surface (that is the membrane) of the cell. One can use analytic relations, such as Green’s Fundamental Solutions, or finite-element approximations for the field variables such as the concentration of a chemical [2]. An example of such a simulation is presented, where a cell deforms and migrates as a result of the concentration gradient of a chemical. It is noted that in [3] cell migration in relation to an electric stimulus is considered

Fully continuous models

Single Cell Biol