A mathematical model of plant nutrient uptake
The classical model of plant root nutrient uptake due to Nye, Tinker and Barber is developed and extended. We provide an explicit closed formula for the uptake by a single cylindrical root for all cases of practical interest by solving the absorption-diffusion equation for the soil nutrient concentr...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2001
|
| Subjects: |
| _version_ | 1797078527396282368 |
|---|---|
| author | Roose, T Fowler, A Darrah, P |
| author2 | European Society for Mathematical and Theoretical Biology |
| author_facet | European Society for Mathematical and Theoretical Biology Roose, T Fowler, A Darrah, P |
| author_sort | Roose, T |
| collection | OXFORD |
| description | The classical model of plant root nutrient uptake due to Nye, Tinker and Barber is developed and extended. We provide an explicit closed formula for the uptake by a single cylindrical root for all cases of practical interest by solving the absorption-diffusion equation for the soil nutrient concentration asymptotically in the limit of large time. We then use this single root model as a building block to construct a model which allows for root size distribution in a more realistic plant root system, and we include the effects of root branching and growth. The results are compared with previous theoretical and experimental studies. |
| first_indexed | 2024-03-07T00:33:09Z |
| format | Journal article |
| id | oxford-uuid:80828e1c-e3fa-4cc2-bfdc-2663301180e5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:33:09Z |
| publishDate | 2001 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:80828e1c-e3fa-4cc2-bfdc-2663301180e52022-03-26T21:23:50ZA mathematical model of plant nutrient uptakeJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:80828e1c-e3fa-4cc2-bfdc-2663301180e5MathematicsPlant SciencesEnglishOxford University Research Archive - ValetSpringer2001Roose, TFowler, ADarrah, PEuropean Society for Mathematical and Theoretical BiologyThe classical model of plant root nutrient uptake due to Nye, Tinker and Barber is developed and extended. We provide an explicit closed formula for the uptake by a single cylindrical root for all cases of practical interest by solving the absorption-diffusion equation for the soil nutrient concentration asymptotically in the limit of large time. We then use this single root model as a building block to construct a model which allows for root size distribution in a more realistic plant root system, and we include the effects of root branching and growth. The results are compared with previous theoretical and experimental studies. |
| spellingShingle | Mathematics Plant Sciences Roose, T Fowler, A Darrah, P A mathematical model of plant nutrient uptake |
| title | A mathematical model of plant nutrient uptake |
| title_full | A mathematical model of plant nutrient uptake |
| title_fullStr | A mathematical model of plant nutrient uptake |
| title_full_unstemmed | A mathematical model of plant nutrient uptake |
| title_short | A mathematical model of plant nutrient uptake |
| title_sort | mathematical model of plant nutrient uptake |
| topic | Mathematics Plant Sciences |
| work_keys_str_mv | AT rooset amathematicalmodelofplantnutrientuptake AT fowlera amathematicalmodelofplantnutrientuptake AT darrahp amathematicalmodelofplantnutrientuptake AT rooset mathematicalmodelofplantnutrientuptake AT fowlera mathematicalmodelofplantnutrientuptake AT darrahp mathematicalmodelofplantnutrientuptake |