Mathematical
modeling
is
the
current
trend
to
solve
a
complex
time-dependent
or
stationary
problem
under
investigation.
The
models
enclosed
in
study
are
often
solved
using
numerical
techniques
rather
than
traditional
analytical
techniques.
used
available
researcher
an
embedded
form
through
solvers.
As
nearly
all
phenomena
can
be
modeled
as
partial
differential
equation
systems,
Finite
Element
Methods
frequently
structured
mathematical
model.
In
present
study,
analysis
of
several
solvers
(both
free
well
commercial)
research
field
pertaining
(FEM)
explored.
comprises
distinguishing
flow
conditions
integrating
mechanical
properties
arterial
walls.
investigation
presents
variety
FEM
computationally
simulate
close-to
clinical
and
physiological
conditions.
advantages
drawbacks
solver
contrast
with
others
enlisted
aid
researchers
selection
suitable
solver.
review
usage
articulated
concerning
blood
segment.
To
best
authors'
knowledge,
idea
surveying
studies
demonstrates
novelty
study.
International Communications in Heat and Mass Transfer,
Journal Year:
2024,
Volume and Issue:
157, P. 107818 - 107818
Published: July 19, 2024
Laser
therapies
embody
cutting-edge
advances
in
non-invasive
medical
techniques.
This
study
concentrates
on
enhancing
precision
thermal
therapy
via
a
modeling
approach
for
the
investigation
of
intricate
interplay
between
laser
radiation
and
complex
layers
human
skin.
Our
method
involves
representation
skin
as
three
layers—epidermis,
dermis,
subcutaneous
tissue—and
strategically
changing
range
wavelengths.
We
explore
subtle
workings
absorption
extinction
coefficients,
with
specific
focus
unraveling
scattering
dynamics
these
layers.
The
purpose
this
research
is
to
advance
development
therapies,
facilitating
precise
targeting
tissue
depths.
To
simulate
heat
distribution
multilayered
tissue,
we
use
stepwise
Heaviside
Function
outline
optical
properties.
also
incorporate
three-phase
lag
model
capture
finite
speed
conduction,
delayed
response,
heterogeneous
characteristics
tissue.
solution
governing
equation,
obtained
numerical
simulation,
indicates
possibility
selecting
optimal
wavelengths
characteristics.
Based
results,
most
types
lasers
different
are
absorbed
first
layer
then
second
layer.
There
few
that
can
pass
through
cause
significant
temperature
increase
third
because
some
components
common.This
enables
us
attain
desired
temperatures
at
depths
within
advancing
our
comprehension
customized
interventions
procedures
involving
technology.
Annals of Biomedical Engineering,
Journal Year:
2024,
Volume and Issue:
52(4), P. 967 - 981
Published: Jan. 18, 2024
This
work
presents
the
dual-phase
lag-based
non-Fourier
bioheat
transfer
model
of
brain
tissue
subjected
to
interstitial
laser
ablation.
The
finite
element
method
has
been
utilized
predict
tissue's
temperature
distributions
and
ablation
volumes.
A
sensitivity
analysis
conducted
quantify
effect
variations
in
input
power,
treatment
time,
fiber
diameter,
wavelength,
phase
lags.
Notably,
this
work,
temperature-dependent
thermal
properties
have
considered.
developed
validated
by
comparing
obtained
from
numerical
ex
vivo
during
further
extended
settings
incorporating
blood
perfusion
effects.
results
systematic
highlight
importance
considering
tissue,
behavior,
microvascular
effects
computational
models
for
accurate
predictions
outcomes
ablation,
thereby
minimizing
damage
surrounding
healthy
tissue.
parametric
reported
study
would
assist
a
more
precise
prediction
distribution,
thus
allowing
optimize
dosage
therapy
brain.
Annals of Biomedical Engineering,
Journal Year:
2023,
Volume and Issue:
51(6), P. 1181 - 1198
Published: Jan. 19, 2023
This
work
proposes
the
characterization
of
temperature
dependence
thermal
properties
heart
and
lung
tissues
from
room
up
to
>
90
°C.
The
diffusivity
(α),
conductivity
(k),
volumetric
heat
capacity
(Cv)
ex
vivo
porcine
hearts
deflated
lungs
were
measured
with
a
dual-needle
sensor
technique.
α
k
associated
tissue
remained
almost
constant
until
~
70
80
°C,
accordingly.
Above
more
substantial
variation
in
these
was
registered:
at
94
respectively
experienced
2.3-
1.5-
fold
increase
compared
their
nominal
values,
showing
average
values
0.346
mm2/s
0.828
W/(m·K),
Conversely,
Cv
55
°C
decreased
afterward
(e.g.,
=
2.42
MJ/(m3·K)
°C).
Concerning
tissue,
both
its
characterized
by
an
exponential
temperature,
marked
increment
supraphysiological
ablative
temperatures
(at
91
equal
2.120
2.721
respectively,
i.e.,
13.7-
13.1-fold
higher
baseline
values).
Regression
analysis
performed
attain
best-fit
curves
interpolating
data,
thus
providing
models
investigated
properties.
These
can
be
useful
for
increasing
accuracy
simulation-based
preplanning
frameworks
interventional
procedures,
realization
tissue-mimicking
materials.
Journal of Applied Physics,
Journal Year:
2024,
Volume and Issue:
135(8)
Published: Feb. 26, 2024
We
report
the
experimental
characterization
and
finite
element
modeling
of
magnetic
fluid
hyperthermia
(MFH)
in
tissue-like
media
using
tetramethyl
ammonium
hydroxide
coated
superparamagnetic
iron
oxide
nanoparticles
(MNPs)
size
∼19.6
±
1.2
nm,
prepared
a
co-precipitation
technique.
MFH
properties
are
probed
for
MNPs
∼1
wt.
%
agar,
resembling
tumor
surrounding
normal
tissues.
The
field-induced
temperature
rise
(ΔT)
is
experimentally
measured
real-time
utilizing
an
infrared
camera.
A
model
(FEM)
utilized
to
simulate
spatiotemporal
variations
thermal
profiles,
which
found
be
good
agreement
with
data.
FEM-based
parametric
studies
reveal
that
conductivity
medium
most
significant
parameter
influencing
profiles.
profiles
numerically
studied
seven
different
tissues,
obtained
results
indicate
highest
ΔT
breast
tissue
regions,
due
lowest
volumetric
specific
heat
tissue,
respectively.
Numerical
on
sub-surface
tumors
parametrically
varying
depths
strong
exponential
correlation
between
surface
temperature,
where
regression
coefficients
correlated
thermo-physical
findings
beneficial
developing
simplistic
easily
deployable
framework
priori
generation
various
tissues
during
MFH,
useful
appropriate
planning
selection
MFH-based
therapy.
Journal of Applied Mathematics and Computational Mechanics,
Journal Year:
2022,
Volume and Issue:
21(3), P. 85 - 98
Published: Sept. 1, 2022
Journal
of
Applied
Mathematics
and
Computational
Mechanics,
Prace
Naukowe
Instytutu
Matematyki
i
Informatyki,
Politechnika
Częstochowska,
Scientific
Research
the
Institute
Computer
Science,
Czestochowa
University
Technology
Journal of Thermal Stresses,
Journal Year:
2023,
Volume and Issue:
47(2), P. 143 - 163
Published: Dec. 13, 2023
In
this
paper
we
consider
the
three-phase-lag
model
of
heat
conduction
that
involves
second-order
effects
in
phase
lag
flux
vector.
This
leads
to
a
fourth-order
time
equation
Moore–Gibson–Thompson
type.
We
use
thermodynamic
restrictions
derived
from
compatibility
constitutive
with
Second
Law
Thermodynamics
study
properties
solutions
initial
boundary
value
problems
associated
concern.
connection
establish
series
well-posedness
results
concerning
related
like:
uniqueness,
continuous
data
dependence,
exponentially
stability
or
domain
influence.
Furthermore,
based
on
restrictions,
show
thermal
question
admits
damped
propagating
waves
as
well
decaying
standing
modes.
also
when
are
not
fulfilled,
then
wave
appear
cause
energy
blows
up
goes
infinity.
