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Modelling tumor growth with immune response and drug using ordinary differential equations
Mohd Rashid Admon1, Normah Maan2.
This is a mathematical study about tumor growth from a different perspective, with the aim
of predicting and/or controlling the disease. The focus is on the effect and interaction of
tumor cell with immune and drug. This paper presents a mathematical model of immune
response and a cycle phase specific drug using a system of ordinary differential equations.
Stability analysis is used to produce stability regions for various values of certain parameters
during mitosis. The stability region of the graph shows that the curve splits the tumor decay
and growth regions in the absence of immune response. However, when immune response
is present, the tumor growth region is decreased. When drugs are considered in the system,
the stability region remains unchanged as the system with the presence of immune
response but the population of tumor cells at interphase and metaphase is reduced with
percentage differences of 1.27 and 1.53 respectively. The combination of immunity and
drug to fight cancer provides a better method to reduce tumor population compared to
immunity alone.
Affiliation:
- Universiti Teknologi Malaysia, Malaysia
- Universiti Teknologi Malaysia, Malaysia
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Indexation |
Indexed by |
MyJurnal (2021) |
H-Index
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6 |
Immediacy Index
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0.000 |
Rank |
0 |
Indexed by |
Scopus 2020 |
Impact Factor
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CiteScore (1.4) |
Rank |
Q3 (Engineering (all)) |
Additional Information |
SJR (0.191) |
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