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Our aim is to persuade members of both the biological and mathematical communities of the need to collaborate in developing quantitative mechanistic models. We believe that such models will lead to a more profound understanding of the fundamental science of plants and may help us with managing real-world problems such as food shortages and global warming. We start the paper by reviewing mathematical models that have been developed to describe nutrient and water uptake by a single root. We discuss briefly the mathematical techniques involved in analysing these models and present some of the analytical results of these models. Then, we describe how the information gained from the single-root scale models can be translated to root system and field scales. We discuss the advantages and disadvantages of different mathematical approaches and make a case that mechanistic rather than phenomenological models will in the end be more trustworthy. We also discuss the need for a considerable amount of effort on the fundamental mathematics of upscaling and homogenization methods specialized for branched networks such as roots. Finally, we discuss different future avenues of research and how we believe these should be approached so that in the long term it will be possible to develop a valid, quantitative whole-plant model.<\/jats:p>","DOI":"10.1098\/rsta.2008.0198","type":"journal-article","created":{"date-parts":[[2008,9,26]],"date-time":"2008-09-26T01:05:18Z","timestamp":1222391118000},"page":"4597-4611","update-policy":"https:\/\/doi.org\/10.1098\/crossmark-policy","source":"Crossref","is-referenced-by-count":56,"title":["Mathematical models of plant\u2013soil interaction"],"prefix":"10.1098","volume":"366","author":[{"given":"Tiina","family":"Roose","sequence":"first","affiliation":[{"name":"OCIAM and CMB, Mathematical Institute, University of Oxford24\u201329 St Giles, Oxford OX1 3LB, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Andrea","family":"Schnepf","sequence":"additional","affiliation":[{"name":"Institute of Soil Science, Department of Forest and Soil Sciences, BOKU\u2013University of Natural Resources and Applied Life SciencesPeter Jordan-Strasse 82, 1190 Vienna, Austria"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"175","published-online":{"date-parts":[[2008,9,25]]},"reference":[{"key":"e_1_3_2_2_1","unstructured":"Barber S.A Soil nutrient bioavailability: a mechanistic approach. 1995 New York NY:Wiley."},{"key":"e_1_3_2_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0038-0717(02)00237-7"},{"key":"e_1_3_2_4_1","doi-asserted-by":"publisher","DOI":"10.2134\/agronj1975.00021962006700030013x"},{"key":"e_1_3_2_5_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-2389.2006.00786.x"},{"key":"e_1_3_2_6_1","doi-asserted-by":"publisher","DOI":"10.1006\/anbo.1997.0540"},{"key":"e_1_3_2_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11104-004-7904-z"},{"key":"e_1_3_2_8_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1014939512104"},{"key":"e_1_3_2_9_1","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0477(2001)082<2797:MRWUIH>2.3.CO;2"},{"key":"e_1_3_2_10_1","doi-asserted-by":"publisher","DOI":"10.2136\/sssaj1977.03615995004100060003x"},{"key":"e_1_3_2_11_1","doi-asserted-by":"publisher","DOI":"10.2136\/sssaj1977.03615995004100060004x"},{"key":"e_1_3_2_12_1","first-page":"59","article-title":"\u00dcber neuere Erfahrungen und Probleme auf dem Gebiete der Bodenbakteriologie und unter besonderer Ber\u00fccksichtigung der Gr\u00fcnd\u00fcngung und Brache","volume":"98","author":"Hiltner L","year":"1904","journal-title":"Arb. 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