Mathematical analysis of a SIPC age-structured model of cervical cancer
Human Papillomavirus (HPV), which is the main causal factor of cervical cancer, infects normal cervical cells on the specific cell’s age interval, i.e., between the G1 to S phase of cell cycle. Hence, the spread of the viruses in cervical tissue not only depends on the time, but also the cell age....
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| Main Authors: | , , |
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| 格式: | Other NonPeerReviewed |
| 語言: | English |
| 出版: |
Mathematical Biosciences and Engineering
2022
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| 主題: | |
| 在線閱讀: | https://repository.ugm.ac.id/284239/1/124.Mathematical%20analysis%20of%20a%20SIPC%20age-structured%20model%20of%20cervical%20cancer.pdf https://repository.ugm.ac.id/284239/ https://www.aimspress.com/article/doi/10.3934/mbe.2022281 |
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| 機構: | Universitas Gadjah Mada |
| 語言: | English |
| 總結: | Human Papillomavirus (HPV), which is the main causal factor of cervical cancer, infects
normal cervical cells on the specific cell’s age interval, i.e., between the G1 to S phase of cell cycle.
Hence, the spread of the viruses in cervical tissue not only depends on the time, but also the cell age.
By this fact, we introduce a new model that shows the spread of HPV infections on the cervical tissue
by considering the age of cells and the time. The model is a four dimensional system of the first order
partial di�erential equations with time and age independent variables, where the cells population is
divided into four sub-populations, i.e., susceptible cells, infected cells by HPV, precancerous cells,
and cancer cells. There are two types of the steady state solution of the system, i.e., disease-free and
cancerous steady state solutions, where the stability is determined by using Fatou’s lemma and solving
some integral equations. In this case, we use a non-standard method to calculate the basic reproduction
number of the system. Lastly, we use numerical simulations to show the dynamics of the age-structured
system. |
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