Mathematical treatment of PDE model of chemotactic E. coli colonies
We consider an initial-boundary value problem for reaction-diffusion equations coupled with the Keller-Segel system from the chemotaxis theory which describe a formation of colony patterns of bacteria Escherichia coli. The main goal of this work is to show that global-in-time solutions of this model...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2021
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| _version_ | 1797083960896913408 |
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| author | Celiński, R Hilhorst, D Karch, G Mimura, M Roux, P |
| author_facet | Celiński, R Hilhorst, D Karch, G Mimura, M Roux, P |
| author_sort | Celiński, R |
| collection | OXFORD |
| description | We consider an initial-boundary value problem for reaction-diffusion equations coupled with the Keller-Segel system from the chemotaxis theory which describe a formation of colony patterns of bacteria Escherichia coli. The main goal of this work is to show that global-in-time solutions of this model converge towards stationary solutions depending on initial conditions. |
| first_indexed | 2024-03-07T01:48:57Z |
| format | Journal article |
| id | oxford-uuid:99685ce7-9cc6-490f-b278-d819d1b49c82 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:48:57Z |
| publishDate | 2021 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:99685ce7-9cc6-490f-b278-d819d1b49c822022-03-27T00:14:07ZMathematical treatment of PDE model of chemotactic E. coli coloniesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:99685ce7-9cc6-490f-b278-d819d1b49c82EnglishSymplectic ElementsElsevier2021Celiński, RHilhorst, DKarch, GMimura, MRoux, PWe consider an initial-boundary value problem for reaction-diffusion equations coupled with the Keller-Segel system from the chemotaxis theory which describe a formation of colony patterns of bacteria Escherichia coli. The main goal of this work is to show that global-in-time solutions of this model converge towards stationary solutions depending on initial conditions. |
| spellingShingle | Celiński, R Hilhorst, D Karch, G Mimura, M Roux, P Mathematical treatment of PDE model of chemotactic E. coli colonies |
| title | Mathematical treatment of PDE model of chemotactic E. coli colonies |
| title_full | Mathematical treatment of PDE model of chemotactic E. coli colonies |
| title_fullStr | Mathematical treatment of PDE model of chemotactic E. coli colonies |
| title_full_unstemmed | Mathematical treatment of PDE model of chemotactic E. coli colonies |
| title_short | Mathematical treatment of PDE model of chemotactic E. coli colonies |
| title_sort | mathematical treatment of pde model of chemotactic e coli colonies |
| work_keys_str_mv | AT celinskir mathematicaltreatmentofpdemodelofchemotacticecolicolonies AT hilhorstd mathematicaltreatmentofpdemodelofchemotacticecolicolonies AT karchg mathematicaltreatmentofpdemodelofchemotacticecolicolonies AT mimuram mathematicaltreatmentofpdemodelofchemotacticecolicolonies AT rouxp mathematicaltreatmentofpdemodelofchemotacticecolicolonies |