Morphogenesis of the tumor patterns
The mathematical modeling of tumor growth allows us to describethe most important regularities of these systems. A stochastic model, basedon the most important processes that take place at the level of individual cells,is proposed to predict the dynamical behavior of the expected radius of thetumor...
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| Format: | Article |
| Language: | English |
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AIMS Press
2008-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.299 |
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| _version_ | 1832590165822930944 |
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| author | Elena Izquierdo-Kulich José Manuel Nieto-Villar |
| author_facet | Elena Izquierdo-Kulich José Manuel Nieto-Villar |
| author_sort | Elena Izquierdo-Kulich |
| collection | DOAJ |
| description | The mathematical modeling of tumor growth allows us to describethe most important regularities of these systems. A stochastic model, basedon the most important processes that take place at the level of individual cells,is proposed to predict the dynamical behavior of the expected radius of thetumor and its fractal dimension. It was found that the tumor has a characteristicfractal dimension, which contains the necessary information to predictthe tumor growth until it reaches a stationary state. This fractal dimensionis distorted by the effects of external fluctuations. The model predicts a phenomenonwhich indicates stochastic resonance when the multiplicative and theadditive noise are correlated. |
| format | Article |
| id | doaj-art-0f65be29c46742a6a8b44f4800e3aa4c |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-0f65be29c46742a6a8b44f4800e3aa4c2025-01-24T01:58:10ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-02-015229931310.3934/mbe.2008.5.299Morphogenesis of the tumor patternsElena Izquierdo-Kulich0José Manuel Nieto-Villar1Department of Physical-Chemistry, Faculty of Chemistry, University of Havana, HavanaDepartment of Physical-Chemistry, Faculty of Chemistry, University of Havana, HavanaThe mathematical modeling of tumor growth allows us to describethe most important regularities of these systems. A stochastic model, basedon the most important processes that take place at the level of individual cells,is proposed to predict the dynamical behavior of the expected radius of thetumor and its fractal dimension. It was found that the tumor has a characteristicfractal dimension, which contains the necessary information to predictthe tumor growth until it reaches a stationary state. This fractal dimensionis distorted by the effects of external fluctuations. The model predicts a phenomenonwhich indicates stochastic resonance when the multiplicative and theadditive noise are correlated.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.299mesoscopic modelmathematical modeling.tumor growthfractalstochasticmodel |
| spellingShingle | Elena Izquierdo-Kulich José Manuel Nieto-Villar Morphogenesis of the tumor patterns Mathematical Biosciences and Engineering mesoscopic model mathematical modeling. tumor growth fractal stochasticmodel |
| title | Morphogenesis of the tumor patterns |
| title_full | Morphogenesis of the tumor patterns |
| title_fullStr | Morphogenesis of the tumor patterns |
| title_full_unstemmed | Morphogenesis of the tumor patterns |
| title_short | Morphogenesis of the tumor patterns |
| title_sort | morphogenesis of the tumor patterns |
| topic | mesoscopic model mathematical modeling. tumor growth fractal stochasticmodel |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.299 |
| work_keys_str_mv | AT elenaizquierdokulich morphogenesisofthetumorpatterns AT josemanuelnietovillar morphogenesisofthetumorpatterns |