A review on various mathematical modeling approaches for wound healing

FJ Vermolen

doi:10.1016/B978-0-12-394447-4.40024-6

A review on various mathematical modeling approaches for wound healing

FJ Vermolen

Numerical Analysis

Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific

1 Citation (Scopus)

Abstract

This article evaluates various modeling approaches for wound healing. Approaches considered range from continuous-based models on tissue-scale to cell-based approaches where actual migration and deformation of individual cells is taken into account where semi-discrete, hybride, and cellular automata models are treated. Furthermore, both stochastic and deterministic, as well as hybride combinations, are considered. Advantages and disadvantages of the various methods used depend on the application considered.

Original language	English
Title of host publication	Reference Module in Biomedical Sciences
Subtitle of host publication	Encyclopedia of Cell Biology
Editors	RA Bradshaw, FD Stahl
Publisher	Elsevier
Pages	117-121
Number of pages	5
Volume	4
ISBN (Print)	978-0-12-801238-3
DOIs	https://doi.org/10.1016/B978-0-12-394447-4.40024-6
Publication status	Published - 2016

Keywords

Fundamental solutions
Immune response system
Particle methods

Access to Document

10.1016/B978-0-12-394447-4.40024-6

Cite this

@inbook{cc515449b9f34ddba508f19f0b9b5f77,

title = "A review on various mathematical modeling approaches for wound healing",

abstract = "This article evaluates various modeling approaches for wound healing. Approaches considered range from continuous-based models on tissue-scale to cell-based approaches where actual migration and deformation of individual cells is taken into account where semi-discrete, hybride, and cellular automata models are treated. Furthermore, both stochastic and deterministic, as well as hybride combinations, are considered. Advantages and disadvantages of the various methods used depend on the application considered.",

keywords = "Fundamental solutions, Immune response system, Particle methods",

author = "FJ Vermolen",

year = "2016",

doi = "10.1016/B978-0-12-394447-4.40024-6",

language = "English",

isbn = "978-0-12-801238-3",

volume = "4",

pages = "117--121",

editor = "RA Bradshaw and FD Stahl",

booktitle = "Reference Module in Biomedical Sciences",

publisher = "Elsevier",

}

TY - CHAP

T1 - A review on various mathematical modeling approaches for wound healing

AU - Vermolen, FJ

PY - 2016

Y1 - 2016

N2 - This article evaluates various modeling approaches for wound healing. Approaches considered range from continuous-based models on tissue-scale to cell-based approaches where actual migration and deformation of individual cells is taken into account where semi-discrete, hybride, and cellular automata models are treated. Furthermore, both stochastic and deterministic, as well as hybride combinations, are considered. Advantages and disadvantages of the various methods used depend on the application considered.

AB - This article evaluates various modeling approaches for wound healing. Approaches considered range from continuous-based models on tissue-scale to cell-based approaches where actual migration and deformation of individual cells is taken into account where semi-discrete, hybride, and cellular automata models are treated. Furthermore, both stochastic and deterministic, as well as hybride combinations, are considered. Advantages and disadvantages of the various methods used depend on the application considered.

KW - Fundamental solutions

KW - Immune response system

KW - Particle methods

U2 - 10.1016/B978-0-12-394447-4.40024-6

DO - 10.1016/B978-0-12-394447-4.40024-6

M3 - Chapter

SN - 978-0-12-801238-3

VL - 4

SP - 117

EP - 121

BT - Reference Module in Biomedical Sciences

A2 - Bradshaw, RA

A2 - Stahl, FD

PB - Elsevier

ER -

A review on various mathematical modeling approaches for wound healing

Abstract

Keywords

Access to Document

Fingerprint

Cite this