Three facets of mathematical cancer biology research
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ID: 282832
2023
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Abstract
Cancer, as the uncontrollable cell growth, is related to many branches of
biology. In this review, we will discuss three mathematical approaches for
studying cancer biology: population dynamics, gene regulation, and
developmental biology. If we understand all biochemical mechanisms of cancer
cells, we can directly calculate how the cancer cell population behaves.
Inversely, just from the cell count data, we can use population dynamics to
infer the mechanisms. Cancer cells emerge from certain genetic mutations, which
affect the expression of other genes through gene regulation. Therefore,
knowledge of gene regulation can help with cancer prevention and treatment.
Developmental biology studies acquisition and maintenance of normal cellular
function, which is inspiring to cancer biology in the opposite direction.
Besides, cancer cells implanted into an embryo can differentiate into normal
tissues, which provides a possible approach of curing cancer. This review
illustrates the role of mathematics in these three fields: what mathematical
models are used, what data analysis tools are applied, and what mathematical
theorems need to be proved. We hope that applied mathematicians and even pure
mathematicians can find meaningful mathematical problems related to cancer
biology.
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| Authors | Yue Wang |
| Journal | arXiv |
| Year | 2023 |
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