npj Systems Biology and Applications,
Год журнала:
2022,
Номер
8(1)
Опубликована: Сен. 8, 2022
The
promise
of
precision
medicine
has
been
limited
by
the
pervasive
resistance
to
many
targeted
therapies
for
cancer.
Inferring
timing
(i.e.,
pre-existing
or
acquired)
and
mechanism
drug-induced)
such
is
crucial
designing
effective
new
therapeutics.
This
paper
studies
cetuximab
in
head
neck
squamous
cell
carcinoma
(HNSCC)
using
tumor
volume
data
obtained
from
patient-derived
xenografts.
We
ask
if
mechanisms
can
be
determined
this
alone,
not,
what
would
needed
deduce
underlying
mode(s)
resistance.
To
answer
these
questions,
we
propose
a
family
mathematical
models,
with
each
member
assuming
different
present
method
fitting
models
individual
volumetric
data,
utilize
model
selection
parameter
sensitivity
analyses
ask:
which
member(s)
best
describes
HNSCC
response
cetuximab,
does
that
tell
us
about
driving
resistance?
find
along
time-course
single
dose
initial
fraction
and,
some
instances,
escalation
are
required
distinguish
among
thereby
infer
These
findings
inform
future
experimental
design
so
leverage
synergy
wet
laboratory
experimentation
modeling
study
novel
cancer
Scientific Reports,
Год журнала:
2023,
Номер
13(1)
Опубликована: Июнь 21, 2023
Abstract
Even
though,
nowadays,
cancer
is
one
of
the
leading
causes
death,
too
little
known
about
behavior
this
disease
due
to
its
unpredictability
from
patient
another.
Classical
mathematical
models
tumor
growth
have
shaped
our
understanding
and
broad
practical
implications
for
treatment
scheduling
dosage.
However,
improvements
are
still
necessary
on
these
models.
The
primary
objective
present
research
prove
efficiency
fractional
order
calculus
in
oncology,
more
specifically
modeling.
For
this,
a
generalization
four
most
used
differential
equation
volume
measurements
fitting
realized,
using
corresponding
equivalent.
Are
established
Exponential,
Logistic,
Gompertz,
General
Bertalanffy-Pütter
treated
untreated
dataset.
obtained
results
compared
by
Mean
Squared
Error
(MSE)
with
integer
correspondent
each
model.
superiority
MSE
reduced
at
least
half
comparison
It
demonstrated
way
that
deterministic
can
offer
good
starting
point
finding
proper
model
evolution
prediction.
Fractional
suitable
method
case
memory
property,
aspect
particularly
characterizes
biological
processes.
npj Precision Oncology,
Год журнала:
2023,
Номер
7(1)
Опубликована: Июнь 8, 2023
Generating
realistic
virtual
patients
from
a
limited
amount
of
patient
data
is
one
the
major
challenges
for
quantitative
systems
pharmacology
modeling
in
immuno-oncology.
Quantitative
(QSP)
mathematical
methodology
that
integrates
mechanistic
knowledge
biological
to
investigate
dynamics
whole
system
during
disease
progression
and
drug
treatment.
In
present
analysis,
we
parameterized
our
previously
published
QSP
model
cancer-immunity
cycle
non-small
cell
lung
cancer
(NSCLC)
generated
cohort
predict
clinical
response
PD-L1
inhibition
NSCLC.
The
generation
was
guided
by
immunogenomic
iAtlas
portal
population
pharmacokinetic
durvalumab,
inhibitor.
With
following
distribution,
predicted
rate
18.6%
(95%
bootstrap
confidence
interval:
13.3-24.2%)
identified
CD8/Treg
ratio
as
potential
predictive
biomarker
addition
expression
tumor
mutational
burden.
We
demonstrated
omics
served
reliable
resource
techniques
immuno-oncology
using
models.
PLoS ONE,
Год журнала:
2025,
Номер
20(1), С. e0310844 - e0310844
Опубликована: Янв. 9, 2025
Mathematical
modeling
plays
an
important
role
in
our
understanding
and
targeting
therapy
resistance
mechanisms
cancer.
The
polymorphic
Gompertzian
model,
analyzed
theoretically
numerically
by
Viossat
Noble
to
demonstrate
the
benefits
of
adaptive
metastatic
cancer,
describes
a
heterogeneous
cancer
population
consisting
therapy-sensitive
therapy-resistant
cells.
In
this
study,
we
that
model
successfully
captures
trends
both
vitro
vivo
data
on
non-small
cell
lung
(NSCLC)
dynamics
under
treatment.
Additionally,
for
tumor
patients
undergoing
treatment,
compare
goodness
fit
classical
oncologic
models,
which
were
previously
identified
as
models
best.
We
show
can
capture
U-shape
trend
size
during
relapse,
not
be
fitted
with
models.
general,
corresponds
well
real-world
data,
suggesting
it
candidate
improving
efficacy
therapy,
example,
through
evolutionary/adaptive
therapies.
PLoS Computational Biology,
Год журнала:
2023,
Номер
19(1), С. e1010844 - e1010844
Опубликована: Янв. 20, 2023
An
enduring
challenge
in
computational
biology
is
to
balance
data
quality
and
quantity
with
model
complexity.
Tools
such
as
identifiability
analysis
information
criterion
have
been
developed
harmonise
this
juxtaposition,
yet
cannot
always
resolve
the
mismatch
between
available
granularity
required
mathematical
models
answer
important
biological
questions.
Often,
it
only
simple
phenomenological
models,
logistic
Gompertz
growth
that
are
identifiable
from
standard
experimental
measurements.
To
draw
insights
complex,
non-identifiable
incorporate
key
mechanisms
of
interest,
we
study
geometry
a
map
parameter
space
complex
simple,
identifiable,
surrogate
model.
By
studying
how
parameters
quantitatively
relate
surrogate,
introduce
exploit
layer
interpretation
set
goodness-of-fit
metric
or
likelihood
studied
typical
analysis.
We
demonstrate
our
approach
by
analysing
hierarchy
for
multicellular
tumour
spheroid
experiments.
Typical
experiments
limited
noisy,
corresponding
very
often
made
arbitrarily
complex.
Our
geometric
able
predict
non-identifiabilities,
classify
spaces
into
combinations
features
characterised
model,
overall
provide
additional
insight
models.
Cancer Biology & Therapy,
Год журнала:
2024,
Номер
25(1)
Опубликована: Фев. 27, 2024
Tumor
heterogeneity
contributes
significantly
to
chemoresistance,
a
leading
cause
of
treatment
failure.
To
better
personalize
therapies,
it
is
essential
develop
tools
capable
identifying
and
predicting
intra-
inter-tumor
heterogeneities.
Biology-inspired
mathematical
models
are
attacking
this
problem,
but
tumor
often
overlooked
in
Computers & Industrial Engineering,
Год журнала:
2024,
Номер
191, С. 110078 - 110078
Опубликована: Март 24, 2024
Cancer
is
a
leading
cause
of
death
and
cost
burden
on
healthcare
systems
worldwide.
The
mainstay
treatment
chemotherapy
which
most
often
administered
empirically.
Optimizing
the
frequency
drug
administration
would
benefit
patients
by
avoiding
overtreatment
reducing
costs.
In
this
work,
optimization
regimens
using
mathematical
programming
techniques
demonstrated
developing
simple
model
for
fictitious
drug.
question
to
be
answered
solution
how
should
so
that
tumor
size
does
not
exceed
predefined
reaches
minimum
value.
proposed
computer-implemented
well-established
system,
thus
keeping
effort
obtaining
results
low.
An
example
used
demonstrate
superiority
approach
over
approach.
Cancer Immunology Research,
Год журнала:
2023,
Номер
11(5), С. 614 - 628
Опубликована: Фев. 27, 2023
Abstract
Myeloid-derived
suppressor
cells
(MDSC)
play
a
prominent
role
in
the
tumor
microenvironment.
A
quantitative
understanding
of
tumor–MDSC
interactions
that
influence
disease
progression
is
critical,
and
currently
lacking.
We
developed
mathematical
model
metastatic
growth
immune-rich
microenvironments.
modeled
tumor–immune
dynamics
with
stochastic
delay
differential
equations
studied
impact
delays
MDSC
activation/recruitment
on
outcomes.
In
lung
environment,
when
circulating
level
MDSCs
was
low,
had
pronounced
probability
new
establishment:
blocking
recruitment
could
reduce
metastasis
by
as
much
50%.
To
predict
patient-specific
responses,
we
fit
to
individual
tumors
treated
immune
checkpoint
inhibitors
via
Bayesian
parameter
inference.
reveal
control
inhibition
rate
natural
killer
(NK)
larger
outcomes
than
controlling
directly.
Posterior
classification
demonstrates
incorporating
knowledge
responses
improved
predictive
accuracy
from
63%
82%.
Investigation
an
environment
low
NK
abundant
cytotoxic
T
revealed,
contrast,
small
no
longer
impacted
dynamics.
Our
results
illustrate
importance
microenvironment
overall
interventions
promoting
shifts
toward
less
immune-suppressed
states.
propose
there
pressing
need
consider
more
often
analyses
SSP Modern Pharmacy and Medicine,
Год журнала:
2024,
Номер
4(3), С. 1 - 14
Опубликована: Июль 10, 2024
The
study
of
any
biological
object
is
a
complex
process
that
involves
number
successive
stages,
one
which
tools
can
be
specially
created
expert
system.
It
advisable
to
present
the
conclusion
about
studied
in
clear
forms
expression
–
quantitative
or
binary,
are
results
practical
application
principles
absorption
by
some
researched
factors
others,
compromise
between
them
prevailing
alternative
properties.
involvement
mathematical
technologies
identification
and
explanation
regularities
activity
objects
requires
display
their
research
using
language.
This
makes
it
possible
establish
course
processes
predict
consequences.
Since
living
system
formed
from
large
elements,
organism
has
hierarchy
structural
functional
levels
organization.
A
mandatory
prerequisite
for
variety
states,
each
being
characterized
its
own
characteristics
markers
change,
which,
according
degree
completeness
state
transformation
into
another,
should
divided
primary
changes,
majority
final
changes.
Comprehensive
Semi-quantitative
analysis
electronograms
Ryabukha
O.
(2000)
her
method
determining
profiles
hormonopoietic
cells’
special
capacities
(2003)
when
studying
cytophysiology
thyroid
gland
normal
pathological
conditions,
determine
specific
link
follicular
cell’s
specialized
activity,
there
was
violation
hormonopoiesis,
assess
intensity.
developed
Conceptual
apparatus
connections
organelles
hormone-producing
cells
Method
correlation
creating
intra-
intersystem
portraits
reflects
features
mutual
influences
interdependencies,
deepens
understanding
intimate
mechanisms
hormonopoiesis.
Physica Scripta,
Год журнала:
2023,
Номер
99(2), С. 025225 - 025225
Опубликована: Дек. 28, 2023
Abstract
We
examine
a
nonlinear
dynamical
model
that
depicts
the
interaction
between
cancerous
cells
and
an
oncolytic
virus.
For
best
modelling
disease,
we
use
Caputo
fractional
derivative
in
piecewise
approaches.
By
employing
piecemeal
techniques,
treat
compartment
body
contains
infectious
non-infectious
cells.
More
precisely,
solvability
Ulam-Hyers
(U-H)
stability
results
are
considered
using
standard
concepts.
Further,
to
support
our
investigation
with
numerical
results,
apply
Euler
method
develop
approximation
solution.
It
connected
numerous
graphical
representations
of
system
various
arbitrary
ordering
varying
values
isolation
parameters.
Here
remark
multi-step
behavior
certain
problems
exhibit,
is
one
important
issues
naturally.
This
paper
introduces
idea
goal
modeling
real-world
follow
multiples
processes.
With
help
used
approach,
investigate
cancer
disease
its
transmission
crossover
effect.
Frontiers in Applied Mathematics and Statistics,
Год журнала:
2025,
Номер
11
Опубликована: Март 24, 2025
Several
mathematical
models
are
commonly
used
to
describe
cancer
growth
dynamics.
Fitting
of
these
experimental
data
has
not
yet
determined
which
particular
model
best
describes
growth.
Unfortunately,
choice
is
known
drastically
alter
the
predictions
both
future
tumor
and
effectiveness
applied
treatment.
Since
there
growing
interest
in
using
help
predict
chemotherapy,
we
need
determine
if
affects
estimates
chemotherapy
efficacy.
Here,
simulate
an
vitro
study
by
creating
synthetic
treatment
each
seven
fit
sets
other
(“wrong”)
models.
We
estimate
ε
max
(the
maximum
efficacy
drug)
IC
50
drug
concentration
at
half
effect
achieved)
effort
whether
use
incorrect
changes
parameters.
find
that
largely
weakly
practically
identifiable
no
matter
generate
or
data.
The
more
likely
be
identifiable,
but
sensitive
model,
showing
poor
identifiability
when
Bertalanffy
either