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A platform for research: civil engineering, architecture and urbanism
Computational Modeling of Tumor-Induced Angiogenesis
https://orcid.org/0000-0002-9650-0602
https://orcid.org/0000-0002-9005-1375
https://orcid.org/0000-0002-2553-9091
Abstract Angiogenesis is the growth of new capillaries from preexisting ones. The ability to trigger angiogenesis is one of the hallmarks of cancer, and is a necessary step for a tumor to become malignant. This paper discusses computational modeling of tumor-induced angiogenesis with particular reference to mathematical modeling, numerical simulation, and comparison with experiments. We describe the basic biological phenomena associated with angiogenesis, and discuss how they can be incorporated into mathematical models. We emphasize the crucial role of numerical methods for model development. In particular, computational methods for tumor angiogenesis need to be geometrically flexible and capable of dealing with higher-order derivatives, which suggests isogeometric analysis as an ideal candidate. Finally, we propose an algorithm based on graph theory as a potential method for quantitative validation of tumor angiogenesis models.
Computational Modeling of Tumor-Induced Angiogenesis
https://orcid.org/0000-0002-9650-0602
https://orcid.org/0000-0002-9005-1375
https://orcid.org/0000-0002-2553-9091
Abstract Angiogenesis is the growth of new capillaries from preexisting ones. The ability to trigger angiogenesis is one of the hallmarks of cancer, and is a necessary step for a tumor to become malignant. This paper discusses computational modeling of tumor-induced angiogenesis with particular reference to mathematical modeling, numerical simulation, and comparison with experiments. We describe the basic biological phenomena associated with angiogenesis, and discuss how they can be incorporated into mathematical models. We emphasize the crucial role of numerical methods for model development. In particular, computational methods for tumor angiogenesis need to be geometrically flexible and capable of dealing with higher-order derivatives, which suggests isogeometric analysis as an ideal candidate. Finally, we propose an algorithm based on graph theory as a potential method for quantitative validation of tumor angiogenesis models.
Computational Modeling of Tumor-Induced Angiogenesis
https://orcid.org/0000-0002-9650-0602
https://orcid.org/0000-0002-9005-1375
https://orcid.org/0000-0002-2553-9091
Abstract Angiogenesis is the growth of new capillaries from preexisting ones. The ability to trigger angiogenesis is one of the hallmarks of cancer, and is a necessary step for a tumor to become malignant. This paper discusses computational modeling of tumor-induced angiogenesis with particular reference to mathematical modeling, numerical simulation, and comparison with experiments. We describe the basic biological phenomena associated with angiogenesis, and discuss how they can be incorporated into mathematical models. We emphasize the crucial role of numerical methods for model development. In particular, computational methods for tumor angiogenesis need to be geometrically flexible and capable of dealing with higher-order derivatives, which suggests isogeometric analysis as an ideal candidate. Finally, we propose an algorithm based on graph theory as a potential method for quantitative validation of tumor angiogenesis models.
Computational Modeling of Tumor-Induced Angiogenesis
Vilanova, Guillermo (author) / Colominas, Ignasi (author) / Gomez, Hector (author)
2017
Article (Journal)
Electronic Resource
English
Computational Modeling of Tumor-Induced Angiogenesis
| Springer Verlag | 2017
| British Library Online Contents | 2014
On Computational Modeling in Tumor Growth
| Online Contents | 2013
| Wiley | 2002
Scutellaria barbata inhibits angiogenesis through downregulation of HIF‐1 α in lung tumor
| Online Contents | 2014