Modern Physics Letters B,
Год журнала:
2024,
Номер
unknown
Опубликована: Апрель 27, 2024
This
study
aims
to
analyze
the
solution
of
a
system
differential
equations
that
describes
mathematical
modeling
cell
population
dynamics
in
colonic
crypt
and
colorectal
cancer.
The
Caputo–Fabrizio
fractional
order
derivatives
are
used
fractionalize
model.
corresponding
model
is
solved
by
Laplace
transform,
which
helps
transform
into
terms
algebraic
equations.
Partial
fraction
technique
find
inverse
governing
To
assess
credibility
results,
graphical
simulation
has
been
investigated
manipulating
certain
parameters.
There
special
scenario,
namely
when
[Formula:
see
text],
where
solutions
obtained
align
with
those
already
documented
literature.
alignment
ensures
initial
conditions
met
confirms
accuracy
our
solutions.
Modern Physics Letters B,
Год журнала:
2024,
Номер
38(24)
Опубликована: Фев. 8, 2024
This
paper
conducts
an
extensive
comparative
analysis
of
numerical
methods
employed
in
modeling
blood
flow
through
arteries
with
Magnetohydrodynamics
(MHD)
and
hybrid
nanofluids.
The
study
investigates
the
effectiveness
precision
distinct
approaches:
Akbari
Ganji’s
Method
(AGM),
Fourth-Order
Runge–Kutta
(RK4),
Finite
Volume
(FVM),
Element
(FEM).
These
are
essential
for
comprehending
intricate
fluid
dynamics
that
arise
presence
magnetic
fields
nanofluids
a
phenomenon
relevant
numerous
medical
applications.
Blood
is
subjected
to
homogeneous
field
radial
direction
while
magneto-hemodynamics
effect
taken
into
account.
A
variety
medical,
physiological,
surgical
procedures,
as
well
regulation
pressure,
heat
distribution,
wound
healing,
diagnostic
imaging,
drug
discovery,
depend
on
carry
out
vital
functions
such
oxygen
nutrition
delivery,
organ
maintenance,
healing.
Our
findings
highlight
each
method
has
strengths,
their
applicability
varies
based
problem’s
characteristics
computational
resource
constraints.
aids
researchers
practitioners
selecting
most
suitable
requirements,
advancing
techniques
complex
involving
MHD
This
paper
features
a
survey
of
the
periodic
property
micro-electro-mechanical
systems
by
homotopy
perturbation
method,
variational
iteration
theory,
He’s
frequency
formulation,
and
Taylor
series
method.
Fractal
MEMS
are
also
introduced,
future
prospective
is
elucidated.
The
emphasis
this
min-review
article
put
mainly
on
developments
in
last
decade,
so
references,
therefore,
not
exhaustive.
Modern Physics Letters B,
Год журнала:
2024,
Номер
38(29)
Опубликована: Март 12, 2024
This
study
investigated
fluid
flow
and
forced
convective
heat
transfer
in
rectangular
microchannels
with
square
barriers,
as
illustrated
Fig.
1
.
In
the
first
situation,
three
obstacles
were
positioned
along
microchannel’s
top
wall.
second
scenario,
bottom
final
example,
are
placed
symmetrically
on
either
side
of
microchannel
With
help
Finite
Element
Method
(FEM),
we
investigate
physicochemical
behavior
microchannel.
The
development
computer
code
within
COMSOL
multiphysics
made
it
possible
to
simulate
transport
flow.
results
include
implications
rarefaction
effect
transmission
decisions
regarding
location
barriers
shape
squares.
addition,
lowest
value
skin
friction
a
lower
Nusselt
number,
third
which
has
both
sides,
provides
valuable
method
for
reducing
temperature
at
exit
is
because
sides.
section
under
“Results
Discussion,”
provide
an
in-depth
analysis
numerical
data
derived
from
•
Objective:
aims
numerically
channel
featuring
multiple
obstacles.
simulation
employs
FEM
model
distribution.
Geometry
complexity:
geometry
incorporates
obstacles,
introducing
geometric
complexity.
chosen
its
capability
handle
intricate
geometries
accurately.
Modern Physics Letters B,
Год журнала:
2025,
Номер
unknown
Опубликована: Янв. 27, 2025
This
study
investigates
the
electroosmotic
flow
and
thermal
transport
of
nanofluids,
specifically
aluminum
oxide
titanium
dioxide,
within
tapered
arteries
with
stenosis.
Using
finite
difference
method
(FDM),
we
modeled
dynamics
heat
transfer
mechanisms
under
assumption
low
Reynolds
numbers
mild
The
focuses
on
effects
nanoparticle
volume
fraction,
absorption
parameters,
forces
blood
flow,
velocity
profiles,
temperature
distribution.
Results
show
that
increasing
concentration
significantly
reduce
velocity,
particularly
in
divergent
artery
geometries.
Additionally,
inclusion
enhances
transfer,
while
Grashof
number
influences
central
velocity.
These
findings
offer
valuable
insights
into
optimizing
nanoparticle-based
therapeutic
interventions
for
cardiovascular
treatments,
providing
a
framework
enhancing
drug
delivery
systems
improving
efficacy
heat-based
therapies.
study’s
outcomes
could
lead
to
improved
diagnostic
tools
strategies
managing
diseases.
Modern Physics Letters B,
Год журнала:
2025,
Номер
unknown
Опубликована: Апрель 20, 2025
This
research
introduces
a
novel
mathematical
model
for
the
peristaltic
flow
of
non-Newtonian
Rabinowitsch
fluid
within
an
elliptical
duct,
uniquely
capturing
both
pseudoplastic
and
dilatant
behaviors.
By
employing
Cartesian
coordinates
with
boundary
conditions,
preserves
duct’s
geometric
integrity.
The
resulting
complex
partial
differential
equations,
though
challenging,
were
solved
exactly
using
dimensional
analysis
scaling
methods.
Additionally,
perturbation
techniques
utilized
to
thoroughly
analyze
dynamics.
Comprehensive
graphical
analyses
depict
key
characteristics
such
as
dimensionless
velocity,
axial
pressure
gradient,
rise,
offering
fresh
insights
into
behavior
in
geometries.
findings
reveal
that
increase
volumetric
rate
significantly
enhances
central
velocity
particularly
fluids,
while
fluids
exhibit
reduced
under
similar
conditions.
Notably,
gradient
demonstrates
distinct
patterns,
showing
oscillatory
fluctuations,
underscoring
limitations
Newtonian
models
accurately
representing
these
Modern Physics Letters B,
Год журнала:
2024,
Номер
unknown
Опубликована: Июль 27, 2024
This
paper
introduces
a
groundbreaking
method,
Homotopy-based
Fourier
transform,
integrating
transform
and
Homotopy
perturbation
for
refined
nonlinear
problem-solving.
The
modification
enhances
solution
technique
efficiency,
notably
accelerating
convergence,
particularly
in
solving
the
Korteweg–de
Vries
equation.
Demonstrating
versatility,
method
effectively
addresses
ordinary
partial
differential
equations,
showcasing
its
applicability
across
diverse
mathematical
scenarios.
Moreover,
approach
is
extended
to
dynamical
systems,
illustrating
robustness
handling
complex
dynamic
behaviors.
proves
especially
suitable
highly
offering
an
efficient
effective
tool
scientists
engineers
dealing
with
intricate
models.
By
significantly
improving
convergence
rates,
stands
out
as
valuable
asset
unraveling
complexities
of
systems
various
scientific
engineering
applications.