Mathematical Biosciences & Engineering,
Год журнала:
2024,
Номер
21(11), С. 7621 - 7647
Опубликована: Янв. 1, 2024
<p>Cancer
is
a
disease
that
arises
from
the
uncontrolled
growth
of
abnormal
(tumor)
cells
in
an
organ
and
their
subsequent
spread
into
other
parts
body.
If
tumor
to
surrounding
tissues
or
organs,
then
life-threatening
due
limited
treatment
options.
This
work
applies
agent-based
model
investigate
effect
intra-tumoral
communication
on
progression,
plasticity,
invasion,
with
results
suggesting
cell-cell
cell-extracellular
matrix
(ECM)
interactions
affect
cell
behavior.
Additionally,
suggests
low
initial
healthy
densities
ECM
protein
promote
motility,
invasion.
Furthermore,
high
breakdown
probabilities
Understanding
under
cellular
stress
can
potentially
lead
design
successful
strategies
for
cancer.</p>
Fractal and Fractional,
Год журнала:
2023,
Номер
7(8), С. 595 - 595
Опубликована: Авг. 1, 2023
Cancer
is
a
complex
disease,
responsible
for
significant
portion
of
global
deaths.
The
increasing
prioritisation
know-why
over
know-how
approaches
in
biological
research
has
favoured
the
rising
use
both
white-
and
black-box
mathematical
techniques
cancer
modelling,
seeking
to
better
grasp
multi-scale
mechanistic
workings
its
phenomena
(such
as
tumour-immune
interactions,
drug
resistance,
tumour
growth
diffusion,
etc.).
In
light
this
wide-ranging
mathematics
unique
memory
non-local
properties
Fractional
Calculus
(FC)
have
been
sought
after
last
decade
replace
ordinary
differentiation
hypothesising
FC’s
superior
modelling
oncological
phenomena,
which
shown
possess
an
accumulated
knowledge
past
states.
As
such,
review
aims
present
thorough
structured
survey
about
main
guiding
trends
categories
research,
emphasising
field
oncology
employment
whole.
most
pivotal
questions,
challenges
future
perspectives
are
also
outlined.
Cancers,
Год журнала:
2021,
Номер
13(10), С. 2367 - 2367
Опубликована: Май 14, 2021
As
the
immune
system
has
a
significant
role
in
tumor
progression,
this
paper,
we
develop
data-driven
mathematical
model
to
study
interactions
between
cells
and
osteosarcoma
microenvironment.
Osteosarcoma
tumors
are
divided
into
three
clusters
based
on
their
relative
abundance
of
as
estimated
from
gene
expression
profiles.
We
then
analyze
progression
effects
cancer
growth
each
cluster.
Cluster
3,
which
had
approximately
same
number
naive
M2
macrophages,
slowest
growth,
cluster
2,
with
highest
population
at
steady
states.
also
found
that
fastest
occurred
when
anti-tumor
cytokines,
including
dendritic
cells,
helper
T
cytotoxic
IFN-γ,
switched
increasing
decreasing,
while
dynamics
regulatory
decreasing
increasing.
Importantly,
most
impactful
parameters
total
were
activation
decay
rates
macrophages
for
all
clusters.
This
work
presents
first
model,
can
be
later
extended
investigate
effectiveness
various
treatments.
Journal of Personalized Medicine,
Год журнала:
2021,
Номер
11(10), С. 1031 - 1031
Опубликована: Окт. 15, 2021
Breast
cancer
is
the
most
prominent
type
of
among
women.
Understanding
microenvironment
breast
and
interactions
between
cells
cytokines
will
lead
to
better
treatment
approaches
for
patients.
In
this
study,
we
developed
a
data-driven
mathematical
model
investigate
dynamics
key
involved
in
development.
We
used
gene
expression
profiles
tumors
estimate
relative
abundance
each
immune
cell
group
patients
based
on
their
patterns.
Dynamical
results
show
complex
interplay
molecules,
sensitivity
analysis
emphasizes
direct
effects
macrophages
adipocytes
growth.
addition,
observed
dual
effect
IFN-γ
proliferation,
either
through
inhibition
or
by
increasing
cytotoxicity
CD8+
T-cells.
An International Journal of Optimization and Control Theories & Applications (IJOCTA),
Год журнала:
2022,
Номер
12(2), С. 137 - 150
Опубликована: Июль 14, 2022
For
treating
cancer,
tumor
growth
models
have
shown
to
be
a
valuable
resource,
whether
they
are
used
develop
therapeutic
methods
paired
with
process
control
or
simulate
and
evaluate
treatment
processes.
In
addition,
fuzzy
mathematical
model
is
tool
for
monitoring
the
influences
of
various
elements
creating
behavioral
assessments.
It
has
been
designed
decrease
ambiguity
parameters
obtain
reliable
development
by
employing
logic.The
Gompertz
equation
in
an
imprecise
environment
this
study.
considers
whole
cancer
cell
population
vague
at
any
given
time,
possibility
distribution
function
determined
initial
population,
net
rate,
carrying
capacity
tumor.
Moreover,
work
provides
information
on
expected
maximum
period.
This
study
examines
modeling
insights
based
fuzziness
reduce
uncertainty
achieve
degree
realism.
Finally,
numerical
simulations
utilized
show
significant
conclusions
proposed
PLoS Computational Biology,
Год журнала:
2024,
Номер
20(3), С. e1011247 - e1011247
Опубликована: Март 1, 2024
The
advancements
in
next-generation
sequencing
have
made
it
possible
to
effectively
detect
somatic
mutations,
which
has
led
the
development
of
personalized
neoantigen
cancer
vaccines
that
are
tailored
unique
variants
found
a
patient’s
cancer.
These
can
provide
significant
clinical
benefit
by
leveraging
immune
response
eliminate
malignant
cells.
However,
determining
optimal
vaccine
dose
for
each
patient
is
challenge
due
heterogeneity
tumors.
To
address
this
challenge,
we
formulate
mathematical
optimization
problem
based
on
previous
model
encompasses
cascade
produced
patient.
We
propose
an
approach
identify
doses,
considering
fixed
vaccination
schedule,
while
simultaneously
minimizing
overall
number
tumor
and
activated
T
validate
our
approach,
perform
silico
experiments
six
real-world
trial
patients
with
advanced
melanoma.
compare
results
applying
those
suboptimal
(the
used
its
deviations).
Our
simulations
reveal
regimen
higher
initial
doses
lower
final
may
lead
reduction
size
certain
patients.
offers
promising
improving
outcomes.
IEEE Journal of Translational Engineering in Health and Medicine,
Год журнала:
2024,
Номер
12, С. 413 - 434
Опубликована: Янв. 1, 2024
Mechanical
force
exerted
on
cancer
cells
by
their
microenvironment
have
been
reported
to
drive
toward
invasive
phenotypes
altering
cells'
motility,
proliferation,
and
apoptosis.
These
mechanical
forces
include
compressive,
tensile,
hydrostatic,
shear
forces.
The
importance
of
is
then
hypothesized
be
an
alteration
microenvironment's
biophysical
properties
as
the
indicator
a
tumor's
malignancy
state.
Our
objective
investigate
quantify
correlation
between
state
experienced
components
microenvironment.
In
this
study,
we
developed
multicomponent,
three-dimensional
model
tumor
tissue
consisting
cell
surrounded
fibroblasts
extracellular
matrix
(ECM).
results
three
different
organs
including
breast,
kidney,
pancreas
show
that:
A)
stresses
within
are
impacted
organ
specific
ECM's
properties,
B)
more
experience
higher
stresses,
C)
in
which
has
softer
ECM
(Young
modulus
1.0
kPa)
stiffer
2.4
kPa
1.7
than
breast
significantly
D)
contact
with
compared
but
area
stroma
experiencing
high
maximum
length
40
μm
when
12
for
vicinity
ECM.
This
study
serves
important
first
step
understanding
how
cells,
fibroblasts,
associated
states
organs.
quantification
organ-specific
at
stages
will
help,
develop
theranostic
strategies,
second
predict
accurately
tumors
become
highly
malignant,
third
establish
accurate
criteria
controlling
progression
malignancy.
Furthermore,
our
silico
can
yield
critical,
useful
information
guiding
ex
vivo
or
vitro
experiments,
narrowing
down
variables
investigated,
what
factors
could
impacting
treatments
even
biomarkers
looking
for.
Royal Society Open Science,
Год журнала:
2022,
Номер
9(2)
Опубликована: Фев. 1, 2022
In
a
tumour
microenvironment,
tumour-associated
neutrophils
could
display
two
opposing
differential
phenotypes:
anti-tumour
(N1)
and
pro-tumour
(N2)
effector
cells.
Converting
N2
to
N1
provides
innovative
therapies
for
cancer
treatment.
this
study,
mathematical
model
N1-N2
dynamics
describing
the
survival
immune
inhibition
in
response
TGF-β
IFN-β
is
considered.
The
effects
of
exogenous
intervention
inhibitor
are
examined
order
enhance
recruitment
combat
progression.
Our
approach
employs
optimal
control
theory
determine
drug
infusion
protocols
that
minimize
volume
with
least
administration
cost
possible.
Four
scenarios
corresponding
different
therapeutic
strategies
explored,
namely,
only,
concomitant
controls,
alternating
controls.
For
each
scheme,
initial
conditions
varied
depict
pathophysiological
condition
patient,
leading
adaptive
treatment
schedule.
dosages,
total
amount,
times
relative
administrations
obtained
under
various
circumstances.
achieved
guide
designing
individualized
protocols.