Related Experiment Video
Updated: May 20, 2026

Generation of a Three-dimensional Full Thickness Skin Equivalent and Automated Wounding
Published on: February 26, 2015
A differential equation model of collagen accumulation in a healing wound
Rebecca A Segal1, Robert F Diegelmann, Kevin R Ward
1Department of Mathematics, Virginia Commonwealth University, Richmond, VA 23284-2014, USA. rasegal@vcu.edu
Abstract:
Wound healing is a complex biological process which involves many cell types and biochemical signals and which progresses through multiple, overlapping phases. In this manuscript, we develop a model of collagen accumulation as a marker of wound healing. The mathematical model is a system of ordinary differential equations which tracks fibroblasts, collagen, inflammation and pathogens. The model was validated by comparison to the normal time course of wound healing where appropriate activity for the inflammatory, proliferative and remodeling phases was recorded. Further validation was made by comparison to collagen accumulation experiments by Madden and Peacock (Ann. Surg. 174(3):511-520, 1971). The model was then used to investigate the impact of local oxygen levels on wound healing. Finally, we present a comparison of two wound healing therapies, antibiotics and increased fibroblast proliferation. This model is a step in developing a comprehensive model of wound healing which can be used to develop and test new therapeutic treatments.
Related Concept Videos
Phases of Wound Repair
Formation of Blood Clot
In case of deep injuries, trauma to blood vessels results in blood loss. In the meantime, phospholipids released from the ruptured endothelial cellular membrane are converted into arachidonic...
Healing II: Complications
Inflammatory Response II: Inflammatory Exudate and Tissue Repair
The typical wound exudate is odorless, transparent, straw-colored, thin, and watery. Exudate, however, can differ depending on the state of wound healing. Likewise, the exudate's...
Healing I: Introduction
Overview of Regeneration and Repair
Regeneration
All animals have varying degrees of...

