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Mathematical Biosciences and Engineering

2011, Volume 8, Issue 4: 987-997. doi: 10.3934/mbe.2011.8.987
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Morphogenesis and aggressiveness of cervix carcinoma

  • 1.
    Department of Physical-Chemistry, Faculty of Chemistry, University of Havana, Havana
  • 2.
    Institute of Oncology and Radiobiology, Havana
  • 3.
    Faculty of Physics, University of Havana, Havana
  • Received: 01 March 2010 Accepted: 29 June 2018 Published: 01 August 2011

  • MSC : 92C15, 82C31, 92C50.

  • A mathematical model was obtained to describe the relation between the tissue morphology of cervix carcinoma and both dynamic processes of mitosis and apoptosis, and an expression to quantify the tumor aggressiveness, which in this context is associated with the tumor growth rate. The proposed model was applied to Stage III cervix carcinoma in vivo studies. In this study we found that the apoptosis rate was signicantly smaller in the tumor tissues and both the mitosis rate and aggressiveness index decrease with Stage III patients’ age. These quantitative results correspond to observed behavior in clinical and genetics studies.

    Citation: Elena Izquierdo-Kulich, Margarita Amigó de Quesada, Carlos Manuel Pérez-Amor, José Manuel Nieto-Villar. Morphogenesis and aggressiveness of cervix carcinoma[J]. Mathematical Biosciences and Engineering, 2011, 8(4): 987-997. doi: 10.3934/mbe.2011.8.987

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  • A mathematical model was obtained to describe the relation between the tissue morphology of cervix carcinoma and both dynamic processes of mitosis and apoptosis, and an expression to quantify the tumor aggressiveness, which in this context is associated with the tumor growth rate. The proposed model was applied to Stage III cervix carcinoma in vivo studies. In this study we found that the apoptosis rate was signicantly smaller in the tumor tissues and both the mitosis rate and aggressiveness index decrease with Stage III patients’ age. These quantitative results correspond to observed behavior in clinical and genetics studies.


  • This article has been cited by:

    1. Edgardo J. Suarez-Dominguez, Arthur Perez-Rivao, Maria T. Sanchez-Medrano, Josue F. Perez-Sanchez, Elena Izquierdo-Kulich, Mesoscopic model for the surface fractal dimension estimation of solid-solid and gas-solid dispersed systems, 2020, 18, 24680230, 100407, 10.1016/j.surfin.2019.100407
    2. E. Izquierdo-Kulich, J. M. Nieto-Villar, 2013, Chapter 48, 978-3-642-34069-7, 657, 10.1007/978-3-642-34070-3_48
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  • © 2011 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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