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Analysis of the fluctuations of the tumour/host interface

Author

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  • Milotti, Edoardo
  • Vyshemirsky, Vladislav
  • Stella, Sabrina
  • Dogo, Federico
  • Chignola, Roberto

Abstract

In a recent analysis of metabolic scaling in solid tumours we found a scaling law that interpolates between the power laws μ∝V and μ∝V2∕3, where μ is the metabolic rate expressed as the glucose absorption rate and V is the tumour volume. The scaling law fits quite well both in vitro and in vivo data, however we also observed marked fluctuations that are associated with the specific biological properties of individual tumours. Here we analyse these fluctuations, in an attempt to find the population-wide distribution of an important parameter (A) which expresses the total extent of the interface between the solid tumour and the non-cancerous environment. Heuristic considerations suggest that the values of the A parameter follow a lognormal distribution, and, allowing for the large uncertainties of the experimental data, our statistical analysis confirms this.

Suggested Citation

  • Milotti, Edoardo & Vyshemirsky, Vladislav & Stella, Sabrina & Dogo, Federico & Chignola, Roberto, 2017. "Analysis of the fluctuations of the tumour/host interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 587-594.
    • Handle: RePEc:eee:phsmap:v:486:y:2017:i:c:p:587-594
    DOI: 10.1016/j.physa.2017.06.005
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    2. Tom Kolokotrones & Van Savage & Eric J. Deeds & Walter Fontana, 2010. "Curvature in metabolic scaling," Nature, Nature, vol. 464(7289), pages 753-756, April.
    3. Geoffrey B. West & James H. Brown & Brian J. Enquist, 1997. "A General Model for the Origin of Allometric Scaling Laws in Biology," Working Papers 97-03-019, Santa Fe Institute.
    4. Alexandre Albanese & Alan K. Lam & Edward A. Sykes & Jonathan V. Rocheleau & Warren C.W. Chan, 2013. "Tumour-on-a-chip provides an optical window into nanoparticle tissue transport," Nature Communications, Nature, vol. 4(1), pages 1-8, December.
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