Root growth: homogenization in domains with time dependent partial perforations
In this article we derive a macroscopic model for the time evolution of root density, starting from a discrete mesh of roots, using homogenization techniques. In the microscopic model each root grows vertically according to an ordinary differential equation. The roots growth rates depend on the spat...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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EDP Sciences
2012
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| _version_ | 1797060975660105728 |
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| author | Capdeboscq, Y Ptashnyk, M |
| author_facet | Capdeboscq, Y Ptashnyk, M |
| author_sort | Capdeboscq, Y |
| collection | OXFORD |
| description | In this article we derive a macroscopic model for the time evolution of root density, starting from a discrete mesh of roots, using homogenization techniques. In the microscopic model each root grows vertically according to an ordinary differential equation. The roots growth rates depend on the spatial distribution of nutrient in the soil, which also evolves in time, leading to a fully coupled non-linear problem. We derive an effective partial differential equation for the root tip surface and for the nutrient density. Copyright 2011 EDP Sciences, SMAI. |
| first_indexed | 2024-03-06T20:24:29Z |
| format | Journal article |
| id | oxford-uuid:2ef22fdb-29e3-43c4-a30f-8e4aa41e440a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:24:29Z |
| publishDate | 2012 |
| publisher | EDP Sciences |
| record_format | dspace |
| spelling | oxford-uuid:2ef22fdb-29e3-43c4-a30f-8e4aa41e440a2022-03-26T12:52:06ZRoot growth: homogenization in domains with time dependent partial perforationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2ef22fdb-29e3-43c4-a30f-8e4aa41e440aEnglishSymplectic Elements at OxfordEDP Sciences2012Capdeboscq, YPtashnyk, MIn this article we derive a macroscopic model for the time evolution of root density, starting from a discrete mesh of roots, using homogenization techniques. In the microscopic model each root grows vertically according to an ordinary differential equation. The roots growth rates depend on the spatial distribution of nutrient in the soil, which also evolves in time, leading to a fully coupled non-linear problem. We derive an effective partial differential equation for the root tip surface and for the nutrient density. Copyright 2011 EDP Sciences, SMAI. |
| spellingShingle | Capdeboscq, Y Ptashnyk, M Root growth: homogenization in domains with time dependent partial perforations |
| title | Root growth: homogenization in domains with time dependent partial perforations |
| title_full | Root growth: homogenization in domains with time dependent partial perforations |
| title_fullStr | Root growth: homogenization in domains with time dependent partial perforations |
| title_full_unstemmed | Root growth: homogenization in domains with time dependent partial perforations |
| title_short | Root growth: homogenization in domains with time dependent partial perforations |
| title_sort | root growth homogenization in domains with time dependent partial perforations |
| work_keys_str_mv | AT capdeboscqy rootgrowthhomogenizationindomainswithtimedependentpartialperforations AT ptashnykm rootgrowthhomogenizationindomainswithtimedependentpartialperforations |