Morphogenesis and aggressiveness of cervix carcinoma
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...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.987 |
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| author | Elena Izquierdo-Kulich Margarita Amigó de Quesada Carlos Manuel Pérez-Amor José Manuel Nieto-Villar |
| author_facet | Elena Izquierdo-Kulich Margarita Amigó de Quesada Carlos Manuel Pérez-Amor José Manuel Nieto-Villar |
| author_sort | Elena Izquierdo-Kulich |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8622c339d9584059931d4243fe23637e |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-8622c339d9584059931d4243fe23637e2025-01-24T02:02:16ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-07-018498799710.3934/mbe.2011.8.987Morphogenesis and aggressiveness of cervix carcinomaElena Izquierdo-Kulich0Margarita Amigó de Quesada1Carlos Manuel Pérez-Amor2José Manuel Nieto-Villar3Department of Physical-Chemistry, Faculty of Chemistry, University of Havana, HavanaDepartment of Physical-Chemistry, Faculty of Chemistry, University of Havana, HavanaDepartment of Physical-Chemistry, Faculty of Chemistry, University of Havana, HavanaDepartment of Physical-Chemistry, Faculty of Chemistry, University of Havana, HavanaA 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.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.987pattern cell morphology.tumor growthfractalstochastic modelmesoscopic model |
| spellingShingle | Elena Izquierdo-Kulich Margarita Amigó de Quesada Carlos Manuel Pérez-Amor José Manuel Nieto-Villar Morphogenesis and aggressiveness of cervix carcinoma Mathematical Biosciences and Engineering pattern cell morphology. tumor growth fractal stochastic model mesoscopic model |
| title | Morphogenesis and aggressiveness of cervix carcinoma |
| title_full | Morphogenesis and aggressiveness of cervix carcinoma |
| title_fullStr | Morphogenesis and aggressiveness of cervix carcinoma |
| title_full_unstemmed | Morphogenesis and aggressiveness of cervix carcinoma |
| title_short | Morphogenesis and aggressiveness of cervix carcinoma |
| title_sort | morphogenesis and aggressiveness of cervix carcinoma |
| topic | pattern cell morphology. tumor growth fractal stochastic model mesoscopic model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.987 |
| work_keys_str_mv | AT elenaizquierdokulich morphogenesisandaggressivenessofcervixcarcinoma AT margaritaamigodequesada morphogenesisandaggressivenessofcervixcarcinoma AT carlosmanuelperezamor morphogenesisandaggressivenessofcervixcarcinoma AT josemanuelnietovillar morphogenesisandaggressivenessofcervixcarcinoma |