Kumar, Pappu

Rai, K. N.

English

VCU Scholars Compass

Virginia Commonwealth UniversityVCU Scholars CompassBiology and Medicine Through MathematicsConference 2017May 19th, 5:00 PM - 5:30 PMNumerical investigations of phase lag phenomenawithin living biological tissues during thermaltherapy applicationsPappu KumarIndian Institute of Technology (BHU), Varanasi, pkumar.rs.apm12@itbhu.ac.inK. N. RaiIndian Institute of Technology (BHU), Varanasi, knrai.apm@itbhu.ac.inFollow this and additional works at: http://scholarscompass.vcu.edu/bammPart of the Life Sciences Commons, Medicine and Health Sciences Commons, and the PhysicalSciences and Mathematics CommonsThis Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has beenaccepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. Formore information, please contact libcompass@vcu.edu.http://scholarscompass.vcu.edu/bamm/2017/friday/20                       Biology and Medicine Through Mathematics Conference May 18-20, 2017 VCU Department of Mathematics and Applied Mathematics, Richmond, Virginia  Abstract (Word L ABSTRACT Heat transfer analysis in living biological tissues is of critical concern not only for fundamental understanding of the thermoregulation but also for different thermal treatment modalities.  This paper theoretically investigates the thermal behavior in living biological tissues based on different phase-lagging based bioheat transfer models. Generalized dual-phase-lag bioheat model and dual-phase-lag bioheat model have been studied and compared with Pennes model. An approximate analytical solution of the present problem has been done by Finite element Chebyshev wavelet Galerkin method which uses Chebyshev wavelet as a basis function. Multi-resolution and multi-scale computational property of Chebyshev wavelet in the present case localizes small scale variations of solution and fast switching of functional bases. Larger differences in the temperature prediction at the hyperthermia position have been observed by different bioheat models. Also effect of variability of porosity, interfacial convective heat transfer and coupling factor has been shown graphically. The whole analysis is presented in dimensionless form. The authors have belief that present study will be more useful for medical doctors in the clinical field for better understanding of thermal data. Numerical investigations of phase lag phenomena within living biological tissues during thermal therapy applications Pappu Kumar * and K. N. Rai     Department of Mathematical Sciences  IIT (BHU), Varanasi-221005, U.P., India * Corresponding author: pkumar.rs.apm12@itbhu.ac.in      

Numerical investigations of phase lag phenomena within living biological tissues during thermal therapy applications

Virginia Commonwealth University
VCU Scholars Compass
Biology and Medicine Through Mathematics
Conference 2017
May 19th, 5:00 PM - 5:30 PM
Numerical investigations of phase lag phenomena
within living biological tissues during thermal
therapy applications
Pappu Kumar
Indian Institute of Technology (BHU), Varanasi, pkumar.rs.apm12@itbhu.ac.in
K. N. Rai
Indian Institute of Technology (BHU), Varanasi, knrai.apm@itbhu.ac.in
Follow this and additional works at: http://scholarscompass.vcu.edu/bamm
Part of the Life Sciences Commons, Medicine and Health Sciences Commons, and the Physical
Sciences and Mathematics Commons
This Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has been
accepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. For
more information, please contact libcompass@vcu.edu.
http://scholarscompass.vcu.edu/bamm/2017/friday/20
                       Biology and Medicine Through Mathematics Conference 
May 18-20, 2017 
VCU Department of Mathematics and Applied Mathematics, Richmond, Virginia 
 
Abstract (Word L 
ABSTRACT 
Heat transfer analysis in living biological tissues is of critical concern not only for 
fundamental understanding of the thermoregulation but also for different thermal 
treatment modalities.  This paper theoretically investigates the thermal behavior in 
living biological tissues based on different phase-lagging based bioheat transfer 
models. Generalized dual-phase-lag bioheat model and dual-phase-lag bioheat 
model have been studied and compared with Pennes model. An approximate 
analytical solution of the present problem has been done by Finite element 
Chebyshev wavelet Galerkin method which uses Chebyshev wavelet as a basis 
function. Multi-resolution and multi-scale computational property of Chebyshev 
wavelet in the present case localizes small scale variations of solution and fast 
switching of functional bases. Larger differences in the temperature prediction at 
the hyperthermia position have been observed by different bioheat models. Also 
effect of variability of porosity, interfacial convective heat transfer and coupling 
factor has been shown graphically. The whole analysis is presented in 
dimensionless form. The authors have belief that present study will be more useful 
for medical doctors in the clinical field for better understanding of thermal data. 
Numerical investigations of phase lag phenomena within living 
biological tissues during thermal therapy applications 
Pappu Kumar 
*
 and K. N. Rai
 
 
 
 
 
Department of Mathematical Sciences  
IIT (BHU), Varanasi-221005, U.P., India 
* Corresponding author: pkumar.rs.apm12@itbhu.ac.in 
 
 
 
 
 


https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1108&context=bamm

Numerical investigations of phase lag phenomena within living biological tissues during thermal therapy applications

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