A Simplified Model of Wound Healing - II: The Critical Size Defect in Two Dimensions

Authors

J. S. Arnold, Old Dominion University
John A. Adam, Old Dominion UniversityFollow

Document Type

Article

Publication Date

12-1999

DOI

10.1016/s0895-7177(99)00197-1

Publication Title

Mathematical and Computer Modelling

Volume

30

Issue

11-12

Pages

47-60

Abstract

Recently, a one-dimensional model was developed which gives a reasonable explanation for the existence of a Critical Size Defect (CSD) in certain animals [1]. In this paper, we examine the more realistic two-dimensional model of a circular wound of uniform depth to see what modifications are to be found, as compared with the one-dimensional model, in studying the CSD phenomenon. It transpires that the range of CSD sizes for a reasonable estimate of parameter values is 1 mm-1 cm. More realistic estimates await the appropriate experimental data.

Comments

Elsevier open archive. © 1999 Elsevier Science Ltd. All rights reserved.

Original Publication Citation

Arnold, J. S., & Adam, J. A. (1999). A simplified model of wound healing - II: The critical size defect in two dimensions. Mathematical and Computer Modelling, 30(11-12), 47-60. doi:10.1016/s0895-7177(99)00197-1

ORCID

0000-0001-5537-2889 (Adam)

Repository Citation

Arnold, J. S. and Adam, John A., "A Simplified Model of Wound Healing - II: The Critical Size Defect in Two Dimensions" (1999). Mathematics & Statistics Faculty Publications. 94.
https://digitalcommons.odu.edu/mathstat_fac_pubs/94