Nonlinear diffusion of a growth inhibitory factor in multicell spheroids.
A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonli...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
1994
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| _version_ | 1797071379290390528 |
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| author | Chaplain, M Benson, D Maini, P |
| author_facet | Chaplain, M Benson, D Maini, P |
| author_sort | Chaplain, M |
| collection | OXFORD |
| description | A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production term. The results of the new model are compared with those of previous models and with experimental data. |
| first_indexed | 2024-03-06T22:52:22Z |
| format | Journal article |
| id | oxford-uuid:5f397292-3757-4038-ad5a-19198c007fac |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:52:22Z |
| publishDate | 1994 |
| record_format | dspace |
| spelling | oxford-uuid:5f397292-3757-4038-ad5a-19198c007fac2022-03-26T17:45:33ZNonlinear diffusion of a growth inhibitory factor in multicell spheroids.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5f397292-3757-4038-ad5a-19198c007facEnglishSymplectic Elements at Oxford1994Chaplain, MBenson, DMaini, PA mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production term. The results of the new model are compared with those of previous models and with experimental data. |
| spellingShingle | Chaplain, M Benson, D Maini, P Nonlinear diffusion of a growth inhibitory factor in multicell spheroids. |
| title | Nonlinear diffusion of a growth inhibitory factor in multicell spheroids. |
| title_full | Nonlinear diffusion of a growth inhibitory factor in multicell spheroids. |
| title_fullStr | Nonlinear diffusion of a growth inhibitory factor in multicell spheroids. |
| title_full_unstemmed | Nonlinear diffusion of a growth inhibitory factor in multicell spheroids. |
| title_short | Nonlinear diffusion of a growth inhibitory factor in multicell spheroids. |
| title_sort | nonlinear diffusion of a growth inhibitory factor in multicell spheroids |
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