Mesoscopic model for tumor growth
In this work, we propose a mesoscopic model for tumor growth to improve our understanding of the origin of the heterogeneity of tumor cells. In this sense, this stochastic formalism allows us to not only to reproduce but also explain the experimental results presented by Brú. A significant aspect fo...
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| Format: | Article |
| Language: | English |
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AIMS Press
2007-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.687 |
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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 | In this work, we propose a mesoscopic model for tumor growth to improve our understanding of the origin of the heterogeneity of tumor cells. In this sense, this stochastic formalism allows us to not only to reproduce but also explain the experimental results presented by Brú. A significant aspect found by the model is related to the predicted values for $\beta$ growth exponent, which capture a basic characteristic of the critical surface growth dynamics. According to the model, the value for growth exponent is between 0,25 and 0,5, which includes the value proposed by Kadar-Parisi-Zhang universality class (0,33) and the value proposed by Brú (0,375) related to the molecular beam epitaxy (MBE) universality class. This result suggests that the tumor dynamics are too complex to be associated to a particular universality class. |
| format | Article |
| id | doaj-art-89ca210a2c114120bf2160ad4d15b4e4 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2007-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-89ca210a2c114120bf2160ad4d15b4e42025-01-24T01:54:07ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-07-014468769810.3934/mbe.2007.4.687Mesoscopic model for tumor growthElena Izquierdo-Kulich0José Manuel Nieto-Villar1Departamento de Ingeniería Química. Facultad de Ingeniería Química. Instituto Superior Politécnico, CUJAE, HavanaDepartamento de Ingeniería Química. Facultad de Ingeniería Química. Instituto Superior Politécnico, CUJAE, HavanaIn this work, we propose a mesoscopic model for tumor growth to improve our understanding of the origin of the heterogeneity of tumor cells. In this sense, this stochastic formalism allows us to not only to reproduce but also explain the experimental results presented by Brú. A significant aspect found by the model is related to the predicted values for $\beta$ growth exponent, which capture a basic characteristic of the critical surface growth dynamics. According to the model, the value for growth exponent is between 0,25 and 0,5, which includes the value proposed by Kadar-Parisi-Zhang universality class (0,33) and the value proposed by Brú (0,375) related to the molecular beam epitaxy (MBE) universality class. This result suggests that the tumor dynamics are too complex to be associated to a particular universality class.https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.687fractalstochastic modelmesoscopic modeltumor growthmathematicalmodeling. |
| spellingShingle | Elena Izquierdo-Kulich José Manuel Nieto-Villar Mesoscopic model for tumor growth Mathematical Biosciences and Engineering fractal stochastic model mesoscopic model tumor growth mathematicalmodeling. |
| title | Mesoscopic model for tumor growth |
| title_full | Mesoscopic model for tumor growth |
| title_fullStr | Mesoscopic model for tumor growth |
| title_full_unstemmed | Mesoscopic model for tumor growth |
| title_short | Mesoscopic model for tumor growth |
| title_sort | mesoscopic model for tumor growth |
| topic | fractal stochastic model mesoscopic model tumor growth mathematicalmodeling. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.687 |
| work_keys_str_mv | AT elenaizquierdokulich mesoscopicmodelfortumorgrowth AT josemanuelnietovillar mesoscopicmodelfortumorgrowth |