Mathematical biomedicine and modeling avascular tumor growth
In this chapter we review existing continuum models of avascular tumor growth, explaining howthey are inter related and the biophysical insight that they provide. The models range in complexity and include one-dimensional studies of radiallysymmetric growth, and two-dimensional models of tumor invas...
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| Format: | Book section |
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De Gruyter
2012
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| _version_ | 1826305241541246976 |
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| author | Byrne, H |
| author_facet | Byrne, H |
| author_sort | Byrne, H |
| collection | OXFORD |
| description | In this chapter we review existing continuum models of avascular tumor growth, explaining howthey are inter related and the biophysical insight that they provide. The models range in complexity and include one-dimensional studies of radiallysymmetric growth, and two-dimensional models of tumor invasion in which the tumor is assumed to comprise a single population of cells. We also present more detailed, multiphase models that allow for tumor heterogeneity. The chapter concludes with a summary of the different continuum approaches and a discussion of the theoretical challenges that lie ahead. |
| first_indexed | 2024-03-07T06:29:55Z |
| format | Book section |
| id | oxford-uuid:f5a46f1c-fdb4-436b-b47d-3803d52dbe88 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:29:55Z |
| publishDate | 2012 |
| publisher | De Gruyter |
| record_format | dspace |
| spelling | oxford-uuid:f5a46f1c-fdb4-436b-b47d-3803d52dbe882022-03-27T12:28:44ZMathematical biomedicine and modeling avascular tumor growthBook sectionhttp://purl.org/coar/resource_type/c_3248uuid:f5a46f1c-fdb4-436b-b47d-3803d52dbe88Mathematical Institute - ePrintsDe Gruyter2012Byrne, HIn this chapter we review existing continuum models of avascular tumor growth, explaining howthey are inter related and the biophysical insight that they provide. The models range in complexity and include one-dimensional studies of radiallysymmetric growth, and two-dimensional models of tumor invasion in which the tumor is assumed to comprise a single population of cells. We also present more detailed, multiphase models that allow for tumor heterogeneity. The chapter concludes with a summary of the different continuum approaches and a discussion of the theoretical challenges that lie ahead. |
| spellingShingle | Byrne, H Mathematical biomedicine and modeling avascular tumor growth |
| title | Mathematical biomedicine and modeling avascular tumor growth |
| title_full | Mathematical biomedicine and modeling avascular tumor growth |
| title_fullStr | Mathematical biomedicine and modeling avascular tumor growth |
| title_full_unstemmed | Mathematical biomedicine and modeling avascular tumor growth |
| title_short | Mathematical biomedicine and modeling avascular tumor growth |
| title_sort | mathematical biomedicine and modeling avascular tumor growth |
| work_keys_str_mv | AT byrneh mathematicalbiomedicineandmodelingavasculartumorgrowth |