An analytical method for disentangling the roles of adhesion and crowding for random walk models on a crowded lattice
Migration of cells and molecules in vivo is affected by interactions with obstacles. These interactions can include crowding effects, as well as adhesion/repulsion between the motile cell/molecule and the obstacles. Here we present an analytical framework that can be used to separately quantify the...
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| Format: | Journal article |
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Institute of Physics
2016
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| _version_ | 1797094282676404224 |
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| author | Ellery, A Baker, R Simpson, M |
| author_facet | Ellery, A Baker, R Simpson, M |
| author_sort | Ellery, A |
| collection | OXFORD |
| description | Migration of cells and molecules in vivo is affected by interactions with obstacles. These interactions can include crowding effects, as well as adhesion/repulsion between the motile cell/molecule and the obstacles. Here we present an analytical framework that can be used to separately quantify the roles of crowding and adhesion/repulsion using a lattice-based random walk model. Our method leads to an exact calculation of the long time Fickian diffusivity, and avoids the need for computationally expensive stochastic simulations. |
| first_indexed | 2024-03-07T04:11:56Z |
| format | Journal article |
| id | oxford-uuid:c81cb8f8-20d2-4df4-8b06-e39ec205e9fd |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:11:56Z |
| publishDate | 2016 |
| publisher | Institute of Physics |
| record_format | dspace |
| spelling | oxford-uuid:c81cb8f8-20d2-4df4-8b06-e39ec205e9fd2022-03-27T06:49:53ZAn analytical method for disentangling the roles of adhesion and crowding for random walk models on a crowded latticeJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c81cb8f8-20d2-4df4-8b06-e39ec205e9fdSymplectic Elements at OxfordInstitute of Physics2016Ellery, ABaker, RSimpson, MMigration of cells and molecules in vivo is affected by interactions with obstacles. These interactions can include crowding effects, as well as adhesion/repulsion between the motile cell/molecule and the obstacles. Here we present an analytical framework that can be used to separately quantify the roles of crowding and adhesion/repulsion using a lattice-based random walk model. Our method leads to an exact calculation of the long time Fickian diffusivity, and avoids the need for computationally expensive stochastic simulations. |
| spellingShingle | Ellery, A Baker, R Simpson, M An analytical method for disentangling the roles of adhesion and crowding for random walk models on a crowded lattice |
| title | An analytical method for disentangling the roles of adhesion and crowding for random walk models on a crowded lattice |
| title_full | An analytical method for disentangling the roles of adhesion and crowding for random walk models on a crowded lattice |
| title_fullStr | An analytical method for disentangling the roles of adhesion and crowding for random walk models on a crowded lattice |
| title_full_unstemmed | An analytical method for disentangling the roles of adhesion and crowding for random walk models on a crowded lattice |
| title_short | An analytical method for disentangling the roles of adhesion and crowding for random walk models on a crowded lattice |
| title_sort | analytical method for disentangling the roles of adhesion and crowding for random walk models on a crowded lattice |
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