TITLE:
Extended Generalized Riccati Equation Mapping for Thermal Traveling-Wave Distribution in Biological Tissues through a Bio-Heat Transfer Model with Linear/Quadratic Temperature-Dependent Blood Perfusion
AUTHORS:
Emmanuel Kengne, Fathi Ben Hamouda, Ahmed Lakhssassi
KEYWORDS:
Bio-Heat Transfer; Pennes Bio-Heat Model; Temperature-Dependent Blood Perfusion; Thermal Therapy; Extended Generalized Riccati Equation Mapping Method
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.10,
October
29,
2013
ABSTRACT: Analytical thermal traveling-wave distribution in
biological tissues through a bio-heat transfer (BHT) model with linear/quadratic
temperature-dependent blood perfusion is discussed in this paper. Using the
extended generalized Riccati equation mapping method, we find analytical
traveling wave solutions of the considered BHT equation. All the travelling
wave solutions obtained have been used to explicitly investigate the effect
of linear and quadratic coefficients of temperature dependence on temperature
distribution in tissues. We found that the parameter of the nonlinear superposition
formula for Riccati can be used to control the temperature of living tissues.
Our results prove that the extended generalized Riccati equation mapping method
is a powerful tool for investigating thermal traveling-wave distribution in
biological tissues.