ANALISA KESTABILAN MODEL MATEMATIKA UNTUK PENYEMBUHAN KANKER MENGGUNAKAN ONCOLYTIC VIROTHERAPY
Abstract: Oncolytic
virotherapy is one type of cancer treatment using oncolytic virus. In this
paper, we will present a mathematical model for treatment of cancer using oncolytic virotherapy with the burst size of
a virus (the number of new viruses released from lysis of an infected cell) and
we considering the presence of syncytia which is a fusion between infected
tumor cell and uninfected tumor cell. In this mathematical model we introduced
the population of uninfected tumor cells which fusion in syncytia. So, in this
model contains four population, which are, uninfected tumor cell population,
infected tumor cell population, uninfected tumor cell population which fusion
in syncytia, and free virus particles which are outside cells. Then, these
models are analyzed to determine the stability of the equilibrium points. The
stability of the equilibrium points criteria is based on basic reproduction
number () and we show that there exist a disease free equilibrium point and a
disease endemic equilibrium point. By the Routh-Hurwitz criterion of stability,
we prove that the disease free equilibrium point is locally asymptotically
stable if and the disease endemic
equilibrium point is locally asymptotically stable if . In this numerical
simulations using software Maple we have, if
then the graphic of this mathematical model will reach the disease free
equilibrium point, then virotherapy fails. While, if then the graphic of this mathematical model
will reach the disease endemic equilibrium point, then virotherapy success
Keywords: virotherapy,
oncolytic virus, disease free equilibrium points, disease endemic equilibrium
points, stability, basic reproduction number
Penulis: Via Novellina Via
Novellina
Kode Jurnal: jpmatematikadd160309