An age and spatially structured model of tumor invasion with haptotaxis II
An analysis of a model of tumor growth into surrounding tissue is continued from an earlier treatment, in which the global existence of unique solutions to the model was established. The model consists of a system of nonlinear partial differential equations for the population densities of tumor cell...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2008
|
| _version_ | 1826288770675113984 |
|---|---|
| author | Dyson, J Villella-Bressan, R Webb, G |
| author_facet | Dyson, J Villella-Bressan, R Webb, G |
| author_sort | Dyson, J |
| collection | OXFORD |
| description | An analysis of a model of tumor growth into surrounding tissue is continued from an earlier treatment, in which the global existence of unique solutions to the model was established. The model consists of a system of nonlinear partial differential equations for the population densities of tumor cells, extracellular matrix macromolecules, oxygen concentration, and extracellular matrix degradative enzyme concentration. The spatial growth of the tumor involves the directed movement of tumor cells toward the extracellular matrix through haptotaxis. Cell age is used to track progression of cells through the cell cycle. Regularity, positivity, and global bounds of the solutions of the model are proved. |
| first_indexed | 2024-03-07T02:18:43Z |
| format | Journal article |
| id | oxford-uuid:a32e06bc-969e-48a1-8c3b-dacd15a6e1e1 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:18:43Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:a32e06bc-969e-48a1-8c3b-dacd15a6e1e12022-03-27T02:24:59ZAn age and spatially structured model of tumor invasion with haptotaxis IIJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a32e06bc-969e-48a1-8c3b-dacd15a6e1e1EnglishSymplectic Elements at Oxford2008Dyson, JVillella-Bressan, RWebb, GAn analysis of a model of tumor growth into surrounding tissue is continued from an earlier treatment, in which the global existence of unique solutions to the model was established. The model consists of a system of nonlinear partial differential equations for the population densities of tumor cells, extracellular matrix macromolecules, oxygen concentration, and extracellular matrix degradative enzyme concentration. The spatial growth of the tumor involves the directed movement of tumor cells toward the extracellular matrix through haptotaxis. Cell age is used to track progression of cells through the cell cycle. Regularity, positivity, and global bounds of the solutions of the model are proved. |
| spellingShingle | Dyson, J Villella-Bressan, R Webb, G An age and spatially structured model of tumor invasion with haptotaxis II |
| title | An age and spatially structured model of tumor invasion with haptotaxis II |
| title_full | An age and spatially structured model of tumor invasion with haptotaxis II |
| title_fullStr | An age and spatially structured model of tumor invasion with haptotaxis II |
| title_full_unstemmed | An age and spatially structured model of tumor invasion with haptotaxis II |
| title_short | An age and spatially structured model of tumor invasion with haptotaxis II |
| title_sort | age and spatially structured model of tumor invasion with haptotaxis ii |
| work_keys_str_mv | AT dysonj anageandspatiallystructuredmodeloftumorinvasionwithhaptotaxisii AT villellabressanr anageandspatiallystructuredmodeloftumorinvasionwithhaptotaxisii AT webbg anageandspatiallystructuredmodeloftumorinvasionwithhaptotaxisii AT dysonj ageandspatiallystructuredmodeloftumorinvasionwithhaptotaxisii AT villellabressanr ageandspatiallystructuredmodeloftumorinvasionwithhaptotaxisii AT webbg ageandspatiallystructuredmodeloftumorinvasionwithhaptotaxisii |