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Population dynamics in modeling tumor growth

  • Complex Systems Biophysics
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Abstract

A new approach based on local interaction between cancer and tissue cells is applied to the problem of the onset and growth of solid tumors in homogeneous tissues and effects associated with dramatic changes in tumor growth after crossing the boundary between different tissues. The characteristic sizes and growth rates of spherical tumors, the points of the beginning and the end of spherical growth, and further development of complex structures from the spherical ones (rough interface between the tumor and the host tissue, elongate outgrowths, dendritic structures, and metastases) are inferred assuming that the reproduction rate of a population of cancer cells is a nonmonotonous function of their local concentration and thus of the local curvature of the tumor surface. The growth behavior changes dramatically when the tumor crosses a boundary between two tissues.

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Authors and Affiliations

  1. Nikolaev Institute of Inorganic Chemistry, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    V. A. Slepkov

  2. International Center for Critical States Research, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, Akademgorodok, 660036, Russia

    V. A. Slepkov & V. G. Sukhovolsky

  3. Institute of Biophysics, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, Akademgorodok, 660036, Russia

    R. G. Khlebopros

Authors
  1. V. A. Slepkov
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  2. V. G. Sukhovolsky
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  3. R. G. Khlebopros
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Additional information

Original Russian Text © V.A. Slepkov, V.G. Sukhovolsky, R.G. Khlebopros, 2007, published in Biofizika, 2007, Vol. 52, No. 4, pp. 733–740.

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Slepkov, V.A., Sukhovolsky, V.G. & Khlebopros, R.G. Population dynamics in modeling tumor growth. BIOPHYSICS 52, 426–431 (2007). https://doi.org/10.1134/S0006350907040136

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  • DOI: https://doi.org/10.1134/S0006350907040136

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