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Mathematical model: the explanation of mathematical model that cells cannot grow indefinitely
Question: Why can't cells grow indefinitely?

Hypothesis: Cells can grow indefinitely.

Argument: According to the biological knowledge you have learned, a cell needs to absorb substances (nutrients and gases, etc. ) and waste discharge. And this ability determines its viability. So, what happens when a cell grows indefinitely? Let's study the ratio of surface area to volume of a cell (the greater the ratio, the stronger its above-mentioned ability, and vice versa). First of all, we regard a cell as a sphere. The surface area formula of the sphere is S=4∏r2, the volume formula is V= 4 3 ∏r3, and the ratio is K = SV = 3R. It can be seen that the ability of cells to exchange substances will weaken with the growth of cells, while the growth and development of organisms (except viruses) need to exchange substances constantly, so in order to meet this need, cells only have. Therefore, cells cannot grow indefinitely.

Conclusion: Cells cannot grow indefinitely. Well, as we all know, the reason why cells can't grow indefinitely is to meet the needs of material exchange, so they need to divide to maintain this ability, but they can't grow indefinitely.