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Castorina P, Carco' D. Nutrient supply, cell spatial correlation and Gompertzian tumor growth. Theory Biosci. 2021;140(2):197-203doi: 10.1007/s12064-021-00344-8.
Castorina, P., & Carco', D. (2021). Nutrient supply, cell spatial correlation and Gompertzian tumor growth. Theory in biosciences = Theorie in den Biowissenschaften, 140(2), 197-203. https://doi.org/10.1007/s12064-021-00344-8
Castorina, P, and Carco', D. "Nutrient supply, cell spatial correlation and Gompertzian tumor growth." Theory in biosciences = Theorie in den Biowissenschaften vol. 140,2 (2021): 197-203. doi: https://doi.org/10.1007/s12064-021-00344-8
Castorina P, Carco' D. Nutrient supply, cell spatial correlation and Gompertzian tumor growth. Theory Biosci. 2021 Jun;140(2):197-203. doi: 10.1007/s12064-021-00344-8. Epub 2021 May 14. PMID: 33988848; PMCID: PMC8120020.
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Theory Biosci. 2021 Jun;140(2):197-203. doi: 10.1007/s12064-021-00344-8. Epub 2021 May 14.

Nutrient supply, cell spatial correlation and Gompertzian tumor growth.

Theory in biosciences = Theorie in den Biowissenschaften

P Castorina, D Carco'

Affiliations

  1. Istituto Oncologico del Mediterraneo, Viagrande, Italy. [email protected].
  2. Istituto Nazionale Fisica Nucleare, Catania, Italy. [email protected].
  3. Institute of Particle and Nuclear Physics, Charles University, Prague, Czech Republic. [email protected].
  4. Istituto Oncologico del Mediterraneo, Viagrande, Italy.

PMID: 33988848 PMCID: PMC8120020 DOI: 10.1007/s12064-021-00344-8

Abstract

Gompertzian tumor growth can be reproduced by mitosis, related to nutrient supply, with local spatial cell correlations. The global energy constraint alone does not reproduce in vivo data by the observed values of the nutrient expenditure for the cell activities. The depletion of the exponential growth, described by the Gompertz law, is obtained by mean field spatial correlations or by a small word network among cells. The well-known interdependence between the two parameters of the Gompertz growth naturally emerges and depends on the cell volume and on the tumor density.

Keywords: Cell spatial correlation; Gompertz law; Tumor cell metabolism; Tumor growth

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