Skin Thermal Injury Prediction with Strain Energy

Wensheng Shen, and Jun Zhang
Laboratory for High Performance Scientific Computing and Computer Simulation
Department of Computer Science
University of Kentucky
Lexington, KY 40506-0046, USA

Fuqian Yang
Department of Chemical and Materials Engineering
University of Kentucky
Lexington, KY 40506-0046, USA


A three-dimensional model is presented for the quantitative prediction of skin injury resulting from certain thermal exposure on the surface. The model is based on the skin damage equation proposed by Henriques and Moritz for the process of protein denaturation. Different from the standard Arrhenius model for protein damage rate, in which the activation energy includes chemical reaction only, strain energy of tissue due to thermal stress is also considered in the current model. Skin thermal response is modeled using the bioheat transfer equation by including water diffusion on the skin surface, and the corresponding thermal stress is predicted using the modified Duhamel-Neuman equation. Strain energy is then obtained by the stress-strain relation. The extent of burn injury is computed from the transient temperature solution and the effect of strain energy on skin damage is investigated. The time-dependent partial differential equations (PDEs) are discretized using Crank-Nicholson finite difference scheme and the resulting sparse linear systems are solved iteratively.

Key words: skin thermal injury, burn evaluation, heat and mass transfe r, finite difference, iterative method.

Mathematics Subject Classification:

Download the compressed postscript file, or the PDF file wensheng4.pdf.
Technical Report 427-05, Department of Computer Science, University of Kentucky, Lexington, KY, 2005.

This research work was supported in part by NSF under grants CCR-0092532 and ACR-0202934, in part by DOE under grant DE-FG02-02ER45961, and in part by the University of Kentucky Faculty Research Support Program.