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Thermomechanical response of biological tissues to sudden temperature rise induced by laser beam: insights from three-phase lag theory

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Physica Scripta
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Abstract and Figures

The laser irradiation of living tissues poses a risk of thermal damage, making it a critical factor in medical procedures such as laser surgery and thermal therapies. Effectively predicting and managing this damage, particularly in hyperthermia therapy, is essential for maximizing treatment efficacy while protecting surrounding healthy tissues. In this context, theoretical and computational models of biological heat transfer, especially the enhanced Pennes bioheat transport equation, have attracted significant research interest. This study contributes to the field by providing a novel analytical solution to the refined Pennes bioheat model, incorporating the three-phase lag (TPL) concept. The research examines heat transfer in a one-dimensional region, where the outer surface is exposed to laser heating while the inner surface remains thermally insulated. It explores the mechanical effects of thermal shock induced by laser treatment, focusing on heat generation patterns across different laser intensities in diseased human skin tissues. To validate the model, numerical inverse and Laplace transform techniques were applied, producing results consistent with existing literature. The findings not only advance the theoretical understanding of bioheat transfer but also enhance the safety and effectiveness of laser-based medical therapies.
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Phys. Scr. 100 (2025)015290 https://doi.org/10.1088/1402-4896/ad9fb1
PAPER
Thermomechanical response of biological tissues to sudden
temperature rise induced by laser beam: insights from three-phase
lag theory
Mohamed G Salem
1
, Ahmed E Abouelregal
1,2
, Fahad Alsharari
2
and Hamid M Sedighi
3,
1
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2
Department of Mathematics, College of Science, Jouf University, Sakaka, 2014, Saudi Arabia
3
Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Author to whom any correspondence should be addressed.
E-mail: mohamed_gomaa@mans.edu.eg,ahabogal@ju.edu.sa,f.alsharari@ju.edu.sa and h.msedighi@scu.ac.ir
Keywords: TPL bioheat, skin tissue, hyperthermia treatment, laser therapy
Abstract
The laser irradiation of living tissues poses a risk of thermal damage, making it a critical factor in
medical procedures such as laser surgery and thermal therapies. Effectively predicting and managing
this damage, particularly in hyperthermia therapy, is essential for maximizing treatment efcacy while
protecting surrounding healthy tissues. In this context, theoretical and computational models of
biological heat transfer, especially the enhanced Pennes bioheat transport equation, have attracted
signicant research interest. This study contributes to the eld by providing a novel analytical solution
to the rened Pennes bioheat model, incorporating the three-phase lag (TPL)concept. The research
examines heat transfer in a one-dimensional region, where the outer surface is exposed to laser heating
while the inner surface remains thermally insulated. It explores the mechanical effects of thermal
shock induced by laser treatment, focusing on heat generation patterns across different laser intensities
in diseased human skin tissues. To validate the model, numerical inverse and Laplace transform
techniques were applied, producing results consistent with existing literature. The ndings not only
advance the theoretical understanding of bioheat transfer but also enhance the safety and effectiveness
of laser-based medical therapies.
Nomenclature
u
icomponents of displacement
()
g
la=+m32
sss
t
coefcient of heating expansion
m
l,
ssconstants of Lamé
a
t
stress heat modulus
0
T
reference temperature
q
=-
0
TT variance heat
F
iforce of the body per unit volume
r
s
mediums density
s
ij Stresses
d
ij Kronecker delta
ij
components of strain
q
i
heat ow
s
c
specic heat
RECEIVED
2 September 2024
REVISED
28 November 2024
ACCEPTED FOR PUBLICATION
16 December 2024
PUBLISHED
27 December 2024
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