A Mathematical Perspective on the Influence of Allee Effects in Oncolytic Virotherapy
Mathematics,
Journal Year:
2025,
Volume and Issue:
13(5), P. 744 - 744
Published: Feb. 25, 2025
This
article
is
concerned
with
the
mathematical
modeling
of
cancer
virotherapy,
emphasizing
impact
Allee
effects
on
tumor
cell
growth.
We
propose
a
framework
that
describes
complex
interaction
between
cells
and
oncolytic
viruses.
The
efficacy
this
therapy
against
mathematically
investigated.
analysis
involves
linear
logistic
growth
scenarios
coupled
different
effects,
including
weak,
strong,
hyper
forms.
Critical
points
are
identified,
their
existence
stability
analyzed
using
dynamical
system
theories
bifurcation
techniques.
Also,
diagrams
numerical
simulations
utilized
to
verify
extend
analytical
results.
It
observed
significantly
influence
conditions
necessary
for
control
eradication.
Language: Английский
On a new version of bicomplex Mittag-Leffler functions and their applications in fractional kinetic equations
Alexandria Engineering Journal,
Journal Year:
2025,
Volume and Issue:
125, P. 409 - 423
Published: April 22, 2025
Language: Английский
A next-generation dynamic programming language Julia: Its features and applications in biological science
Journal of Advanced Research,
Journal Year:
2023,
Volume and Issue:
64, P. 143 - 154
Published: Nov. 21, 2023
The
advent
of
Julia
as
a
sophisticated
and
dynamic
programming
language
in
2012
represented
significant
milestone
computational
programming,
mathematical
analysis,
statistical
modeling.
Having
reached
its
stable
release
version
1.9.0
on
May
7,
2023,
has
developed
into
powerful
versatile
instrument.
Despite
potential
widespread
adoption
across
various
scientific
technical
domains,
it
can
be
utilized
within
biological
sciences.
Aim
Review
This
comprehensive
review
aims
to
address
this
particular
knowledge
gap
offer
thorough
examination
Julia's
fundamental
characteristics
applications
biology.
Key
concepts
the
focuses
research
science.
equip
researchers
with
tools
utilize
capabilities
science
effectively
demonstrate
gap.
It
paves
way
for
innovative
solutions
discoveries
rapidly
evolving
field.
encompasses
an
analysis
characteristics,
packages,
performance
compared
languages
initial
part
discusses
key
features
Julia,
such
interactive
nature,
fast
processing
speed,
ease
expression
manipulation,
user-friendly
syntax,
code
readability,
strong
support
multiple
dispatch,
advanced
type
system.
also
explores
data
visualization,
machine
learning,
algorithms,
making
suitable
applications.
next
section
emphasizes
importance
using
research,
highlighting
seamless
integration
studies
biology,
bioinformatics.
compares
other
commonly
used
through
benchmarking
analysis.
Additionally,
provides
insights
future
directions
challenges
Language: Английский
The Effect of Virotherapy, Chemotherapy, and Immunotherapy to Immune System: Mathematical Modelling Approach
Aminatus Sa’adah,
No information about this author
Prihantini Prihantini,
No information about this author
Bidayatul Masulah
No information about this author
et al.
Kubik Jurnal Publikasi Ilmiah Matematika,
Journal Year:
2023,
Volume and Issue:
8(2), P. 129 - 140
Published: Nov. 27, 2023
Medical
research
and
therapeutic
interventions
continue
to
evolve,
one
interesting
area
of
study
is
the
complex
interaction
among
virotherapy,
chemotherapy,
immune
system.
Each
treatment
has
its
own
advantages
disadvantages.
In
this
study,
a
mathematical
model
was
developed
describe
how
system,
tumor
cells,
normal
cells
interact
when
all
three
types
therapy
are
used
treat
cancer
patients.
To
determine
effectiveness
various
treatments,
numerical
simulations
eight
different
strategies
were
performed.
These
measured
much
concentration
decreased
as
result
treatment.
Based
on
performed,
application
provided
greatest
reduction
(99%)
in
tumour
but
also
significant
(68%)
body.
Language: Английский