Modeling and simulation of some cell dispersion problems by a nonparametric method
Starting from the classical descriptions of cell motion we propose some ways to enhance the realism of modeling and to account for interesting features like allowing for a random switching between biased and unbiased motion or avoiding a set of obstacles.For this complex behavior of the cell populat...
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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 |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.263 |
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| _version_ | 1832590219587616768 |
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| author | Christina Surulescu Nicolae Surulescu |
| author_facet | Christina Surulescu Nicolae Surulescu |
| author_sort | Christina Surulescu |
| collection | DOAJ |
| description | Starting from the classical descriptions of cell motion we propose some ways to enhance the realism of modeling and to account for interesting features like allowing for a random switching between biased and unbiased motion or avoiding a set of obstacles.For this complex behavior of the cell population we propose new models and also provide a way to numerically assess the macroscopic densities of interest upon using a nonparametric estimation technique.Up to our knowledge, this is the only method able to numerically handle the entire complexity of such settings. |
| format | Article |
| id | doaj-art-d385d58dc17e4149b9408209ed6b658e |
| 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-d385d58dc17e4149b9408209ed6b658e2025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018226327710.3934/mbe.2011.8.263Modeling and simulation of some cell dispersion problems by a nonparametric methodChristina Surulescu0Nicolae Surulescu1ICAM, WWU Münster, Einsteinstr. 62, 48149 MünsterICAM, WWU Münster, Einsteinstr. 62, 48149 MünsterStarting from the classical descriptions of cell motion we propose some ways to enhance the realism of modeling and to account for interesting features like allowing for a random switching between biased and unbiased motion or avoiding a set of obstacles.For this complex behavior of the cell population we propose new models and also provide a way to numerically assess the macroscopic densities of interest upon using a nonparametric estimation technique.Up to our knowledge, this is the only method able to numerically handle the entire complexity of such settings.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.263velocity jump processesnonparametric density estimation.cell movement |
| spellingShingle | Christina Surulescu Nicolae Surulescu Modeling and simulation of some cell dispersion problems by a nonparametric method Mathematical Biosciences and Engineering velocity jump processes nonparametric density estimation. cell movement |
| title | Modeling and simulation of some cell dispersion problems by a nonparametric method |
| title_full | Modeling and simulation of some cell dispersion problems by a nonparametric method |
| title_fullStr | Modeling and simulation of some cell dispersion problems by a nonparametric method |
| title_full_unstemmed | Modeling and simulation of some cell dispersion problems by a nonparametric method |
| title_short | Modeling and simulation of some cell dispersion problems by a nonparametric method |
| title_sort | modeling and simulation of some cell dispersion problems by a nonparametric method |
| topic | velocity jump processes nonparametric density estimation. cell movement |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.263 |
| work_keys_str_mv | AT christinasurulescu modelingandsimulationofsomecelldispersionproblemsbyanonparametricmethod AT nicolaesurulescu modelingandsimulationofsomecelldispersionproblemsbyanonparametricmethod |