A Three-Dimensional Finite Element Model of the Transibial Residual Limb and Prosthetic Socket to Predict Skin Temperatures

Amputees who wear prosthetic limbs often experience discomfort from blisters and sores due to mechanical insult; these skin conditions are exacerbated by elevated skin temperatures and excessive perspiration within the prosthetic socket. The goal of this study was to create a tool for developing new prostheses that accommodate varying thermal loads arising from everyday activities. A three-dimensional thermal model of a transtibial residual limb and prosthesis was constructed using the finite element (FE) method. Transverse computerized tomography (CT) scans were used to specify the geometry of the residual limb and socket. Thermal properties from the literature were assigned to both biological tissue and prosthetic socket elements. The purpose of this work was to create a model that would aid in testing the effect of new prosthesis designs on skin temperature. To validate its output, the model was used to predict the skin temperature distribution in a common prosthetic socket system (silicone liner, wool sock, and carbon fiber socket) at rest with no mechanical loading. Skin temperatures were generally elevated near muscle and decreased anteriorly and at the distal end. Experimental temperature measurements taken at the skin-prosthesis interface of five human subjects were used to validate the model. Data extracted from the thermal model at anterior, posterior, lateral, and medial locations were typically within one standard deviation of experimental results; the mean temperatures were within 0.3 degC for each section and were within 0.1 degC overall

[1]  H. H. Penns Analysis of tissue and arterial blood temperatures in the resting human forearm , 1948 .

[2]  S. Robinson,et al.  Arm and leg intravascular temperatures of men during submaximal exercise. , 1981, Journal of applied physiology: respiratory, environmental and exercise physiology.

[3]  R. L. Levin,et al.  A three-dimensional thermal and electromagnetic model of whole limb heating with a MAPA , 1991, IEEE Transactions on Biomedical Engineering.

[4]  P. Smolinski,et al.  A Three-Dimensional Finite Element Analysis of Heat Transfer in the Forearm , 2000, Computer methods in biomechanics and biomedical engineering.

[5]  Francis A. Duck,et al.  Physical properties of tissue : a comprehensive reference book , 1990 .

[6]  H. Arkin,et al.  Recent developments in modeling heat transfer in blood perfused tissues , 1994, IEEE Transactions on Biomedical Engineering.

[7]  R L Levin,et al.  An evaluation of the Weinbaum-Jiji bioheat equation for normal and hyperthermic conditions. , 1990, Journal of biomechanical engineering.

[8]  William R Ledoux,et al.  A three-dimensional, anatomically detailed foot model: a foundation for a finite element simulation and means of quantifying foot-bone position. , 2002, Journal of rehabilitation research and development.

[9]  D E Lemons,et al.  Theory and experiment for the effect of vascular microstructure on surface tissue heat transfer--Part I: Anatomical foundation and model conceptualization. , 1984, Journal of biomechanical engineering.

[10]  William R Ledoux,et al.  Residual-limb skin temperature in transtibial sockets. , 2005, Journal of rehabilitation research and development.

[11]  Raimund Rolfes,et al.  Transverse thermal conductivity of CFRP laminates: A numerical and experimental validation of approximation formulae , 1995 .

[12]  Robert B. Roemer,et al.  A Mathematical Model of the Human Temperature Regulatory System - Transient Cold Exposure Response , 1976, IEEE Transactions on Biomedical Engineering.

[13]  M B Sulzberger,et al.  The friction blister. , 1972, Military medicine.

[14]  D E Lemons,et al.  Theory and experiment for the effect of vascular microstructure on surface tissue heat transfer--Part II: Model formulation and solution. , 1984, Journal of biomechanical engineering.

[15]  Mark J. Hagmann,et al.  A Whole Body Thenmal Model of Man During Hyperthermia , 1987, IEEE Transactions on Biomedical Engineering.

[16]  Kenneth R. Holmes,et al.  MICROVASCULAR CONTRIBUTIONS IN TISSUE HEAT TRANSFER , 1980, Annals of the New York Academy of Sciences.

[17]  P. Naylor THE SKIN SURFACE AND FRICTION. , 1955, The British journal of dermatology.

[18]  S. Weinbaum,et al.  A new simplified bioheat equation for the effect of blood flow on local average tissue temperature. , 1985, Journal of biomechanical engineering.

[19]  M. Legro,et al.  Issues of importance reported by persons with lower limb amputations and prostheses. , 1999, Journal of rehabilitation research and development.

[20]  E. Arens,et al.  Convective and radiative heat transfer coefficients for individual human body segments , 1997, International journal of biometeorology.

[21]  K. Hagberg,et al.  Consequences of non-vascular trans-femoral amputation: A survey of quality of life, prosthetic use and problems , 2001, Prosthetics and orthotics international.

[22]  J Werner,et al.  Temperature profiles with respect to inhomogeneity and geometry of the human body. , 1988, Journal of applied physiology.