On some models for cancer cell migration throughtissue networks
We propose some models allowing to account for relevant processes at the various scales of cancer cell migration through tissue, ranging from the receptor dynamics on the cell surface over degradation of tissue fibers by protease and soluble ligand production towards the behavior of the entire cell...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-03-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.575 |
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| _version_ | 1832590207570935808 |
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| author | Jan Kelkel Christina Surulescu |
| author_facet | Jan Kelkel Christina Surulescu |
| author_sort | Jan Kelkel |
| collection | DOAJ |
| description | We propose some models allowing to account for relevant processes at the various scales of cancer cell migration through tissue, ranging from the receptor dynamics on the cell surface over degradation of tissue fibers by protease and soluble ligand production towards the behavior of the entire cell population. For a genuinely mesoscopic version of these models we also provide a result on the local existence and uniquenessof a solution for all biologically relevant space dimensions. |
| format | Article |
| id | doaj-art-b0e1b078a47a48e6889475e5b99e92a4 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b0e1b078a47a48e6889475e5b99e92a42025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018257558910.3934/mbe.2011.8.575On some models for cancer cell migration throughtissue networksJan Kelkel0Christina Surulescu1IANS, University of Stuttgart, Pfaffenwaldring 57, 70569 StuttgartIANS, University of Stuttgart, Pfaffenwaldring 57, 70569 StuttgartWe propose some models allowing to account for relevant processes at the various scales of cancer cell migration through tissue, ranging from the receptor dynamics on the cell surface over degradation of tissue fibers by protease and soluble ligand production towards the behavior of the entire cell population. For a genuinely mesoscopic version of these models we also provide a result on the local existence and uniquenessof a solution for all biologically relevant space dimensions.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.575tumor cell migrationiterative method.multiscale models |
| spellingShingle | Jan Kelkel Christina Surulescu On some models for cancer cell migration throughtissue networks Mathematical Biosciences and Engineering tumor cell migration iterative method. multiscale models |
| title | On some models for cancer cell migration throughtissue networks |
| title_full | On some models for cancer cell migration throughtissue networks |
| title_fullStr | On some models for cancer cell migration throughtissue networks |
| title_full_unstemmed | On some models for cancer cell migration throughtissue networks |
| title_short | On some models for cancer cell migration throughtissue networks |
| title_sort | on some models for cancer cell migration throughtissue networks |
| topic | tumor cell migration iterative method. multiscale models |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.575 |
| work_keys_str_mv | AT jankelkel onsomemodelsforcancercellmigrationthroughtissuenetworks AT christinasurulescu onsomemodelsforcancercellmigrationthroughtissuenetworks |