Dynamic behaviour and stabilisation to boost the immune system by complex interaction between tumour cells and vitamins intervention
| Autor: | Azmin Sham Rambely, Sana Abdulkream Alharbi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Algebra and Number Theory
Applied Mathematics lcsh:Mathematics Immune cells Numerical simulation biochemical phenomena metabolism and nutrition lcsh:QA1-939 Dynamic model Fourth order Immune system Cancer cell Cancer research bacteria Nonlinear ordinary differential equations Tumour cells Stability Analysis Mathematics |
| Zdroj: | Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-18 (2020) |
| ISSN: | 1687-1847 |
| Popis: | In this paper, we establish and examine a mathematical model that combines the effects of vitamins intervention on strengthening the immune system and its role in suppressing and delaying the growth and division of tumour cells. In order to accomplish this, we propose a tumour–immune–vitamins model (TIVM) governed by ordinary differential equations and comprised of two populations, namely tumour and immune cells. It is presumed that the source of vitamins in TIVM originates from organic foods and beverages, based on the food pyramid. The simulation of TIVM employs the fourth order Runge–Kutta method. It is found from the analysis and simulation results that one of the side effects of weakening the immune system is the possibility of transforming immune cells into immune cancer cells to prevent or delay the growth and division of tumour cells. Evidently, for regular intakes of vitamins, which is projected at 55% of vitamins per day, the immune system is strengthened, preventing the production of tumour cells. |
| Databáze: | OpenAIRE |
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