Dimensionless solutions and general characteristics of bioheat transfer during thermal therapy

Abstract The derivation and application of the general characteristics of bioheat transfer for medical applications are shown in this paper. Two general bioheat transfer characteristics are derived from solutions of one-dimensional Pennes’ bioheat transfer equation: steady-state thermal penetration depth, which is the deepest depth where the heat effect reaches; and time to reach steady-state, which represents the amount of time necessary for temperature distribution to converge to a steady-state. All results are described by dimensionless form; therefore, these results provide information on temperature distribution in biological tissue for various thermal therapies by transforming to dimension form.

[1]  J. Murthy,et al.  Numerical simulation for heat transfer in prostate cancer cryosurgery. , 2005, Journal of biomechanical engineering.

[2]  Kambiz Vafai,et al.  The role of porous media in modeling flow and heat transfer in biological tissues , 2003 .

[3]  Jing Liu,et al.  Numerical simulation of selective freezing of target biological tissues following injection of solutions with specific thermal properties. , 2005, Cryobiology.

[4]  J. C. Ho,et al.  An analytical study on the thermal effects of cryosurgery on selective cell destruction. , 2007, Journal of biomechanics.

[5]  Yu Zhou,et al.  An infrared radiation study of the biophysical characteristics of traditional moxibustion. , 2006, Complementary therapies in medicine.

[6]  Gesine Hellwig,et al.  Estimation of heat transfer and temperature rise in partial-body regions during MR procedures: an analytical approach with respect to safety considerations. , 2002, Magnetic resonance imaging.

[7]  P. Antich,et al.  Exact solutions to the multi-region time-dependent bioheat equation with transient heat sources and boundary conditions , 1991 .

[8]  H J Li,et al.  Effects of thermal properties and geometrical dimensions on skin burn injuries. , 2002, Burns : journal of the International Society for Burn Injuries.

[9]  C. K. Charny,et al.  Mathematical Models of Bioheat Transfer , 1992 .

[10]  K. Lomas,et al.  A computer model of human thermoregulation for a wide range of environmental conditions: the passive system. , 1999, Journal of applied physiology.

[11]  Zhong-Shan Deng,et al.  Analytical study on bioheat transfer problems with spatial or transient heating on skin surface or inside biological bodies. , 2002, Journal of biomechanical engineering.

[12]  Liang Zhu,et al.  Cooling and Rewarming for Brain Ischemia or Injury: Theoretical Analysis , 2004, Annals of Biomedical Engineering.

[13]  Harald Herkner,et al.  Feasibility and efficacy of a new non-invasive surface cooling device in post-resuscitation intensive care medicine. , 2007, Resuscitation.

[14]  Kenneth R. Diller,et al.  Heat Transfer in Living Systems: Current Opportunities , 1998 .

[15]  Jing Liu,et al.  Numerical studies on the effect of lowering temperature on the oxygen transport during brain hypothermia resuscitation , 2002, Comput. Biol. Medicine.

[16]  Denis Lemonnier,et al.  Three-dimensional modelling and optimisation of thermal fields induced in a human body during hyperthermia , 2002 .

[17]  J. P. Hartnett,et al.  Advances in Heat Transfer , 2003 .

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