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2004•arXiv (Cornell University)Open access

Scaling Laws in Cancer: The Dynamic Behaviour of the Power Exponent p

Caterina Guiot, Pier Paolo Delsanto, Yuri Mansury, Thomas S. Deisboeck

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Abstract

We have previously reported that a 'universal' growth law with fixed scaling exponent p, as proposed by West and collaborators for all living organisms, appears to be able to describe also the growth of tumors in vivo. Here, we investigate in more detail the dynamic behaviour of p using data from the literature. We show that p initially decreases before it again increases up to or even beyond 3/4. These results support the notion that p can vary over time and yet its dynamics are independent from the cancer type.

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We have previously reported that a 'universal' growth law with fixed scaling exponent p, as proposed by West and collaborators for all living organisms, appears to be able to describe also the growth of tumors in vivo. Here, we investigate in more detail the dynamic behaviour of p using data from the literature. We show that p initially decreases before it again increases up to or even beyond 3/4. These results support the notion that p can vary over time and yet its dynamics are independent from the cancer type.

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Available abstract

We have previously reported that a 'universal' growth law with fixed scaling exponent p, as proposed by West and collaborators for all living organisms, appears to be able to describe also the growth of tumors in vivo. Here, we investigate in more detail the dynamic behaviour of p using data from the literature. We show that p initially decreases before it again increases up to or even beyond 3/4. These results support the notion that p can vary over time and yet its dynamics are independent from the cancer type.

Key concepts: Exponent, Scaling, Dynamic scaling, Power law, Scaling law, Statistical physics, Dynamics (music), Power (physics)

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