Set-Valued Stabilization of Reaction-Diffusion Model by Chemotherapy and or Radiotherapy
Fundamental Journal of Mathematics and Applications,
Journal Year:
2023,
Volume and Issue:
6(3), P. 147 - 156
Published: Sept. 19, 2023
This
paper
aims
to
control
partial
differential
equations,
modeling
cancer
chemotherapy
and
or
radiotherapy,
so
in
order
asymptotically
stabilize
the
tumor
density.
Viability
kernel
of
general
model
on
set
initial
condition
is
used
solve
problem,
characterize
solution
as
regulation
law
map.
Three
models
from
literature
are
considered
simulate
results.
The
first
includes
effect
logistic
proliferation,
while
second
one
demonstrates
radiotherapy
exponential
increasing,
whereas
third
effects
combination
Gompertzian
growth.
Language: Английский
Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing
Communications in Advanced Mathematical Sciences,
Journal Year:
2024,
Volume and Issue:
7(3), P. 125 - 134
Published: July 30, 2024
This
paper
discusses
the
theme
of
cancer
modeling
and
control
problem
chemotherapy.
Cancer
spread
is
modeled
by
fractional
derivative
equation
asymptotically
stabilized
chemotherapy
law.
The
model
converted
complex
transform
into
a
simple
partial
associated
with
viability
problem,
set-valued
analysis
used
to
make
viable
regulation
law
map.
give
stabilizing
for
specific
glioblastomas
multiforme
(GBM)
tumor
concentration.
Language: Английский