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bioRxiv · 10.1101/2022.06.29.498072

A scaling law relating the rate of destruction of a solid tumor and the fractal dimension of its boundary

Lopez, A. G.·Sajuan, L. R.
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Abstract

We investigate the scaling law relating the size of the boundary of a solid tumor and the rate at which it is lysed by a cell population of non-infiltrating cytotoxic lymphocytes. We do it in the context of enzyme kinetics through geometrical, analytical and numerical arguments. Following the Koch island fractal model, a scale-dependent function that describes the constant rate of the decay process and the fractal dimension is obtained in the first place. Then, in silico experiments are accomplished by means of a stochastic hybrid cellular automaton model. This model is used to grow several tumors with varying morphology and to test the power decay law when the cell-mediated immune response is effective, confirming its validity.

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Lopez, A. G., Sajuan, L. R.. 2022-07-02. A scaling law relating the rate of destruction of a solid tumor and the fractal dimension of its boundary. https://doi.org/10.1101/2022.06.29.498072

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