Modelling root–soil interactions using three–dimensional models of root growth, architecture and function

[1]  Daniel Leitner,et al.  Image analysis of 2-dimensional root system architecture , 2015 .

[2]  J. Lynch,et al.  Towards Modeling the Function of Root Traits for Enhancing Water Acquisition by Crops , 2015 .

[3]  Jonathan P. Lynch,et al.  Phenotypic Diversity of Root Anatomical and Architectural Traits in Zea Species , 2013 .

[4]  Hannes Schulz,et al.  In Situ Root System Architecture Extraction from Magnetic Resonance Imaging for Application to Water Uptake Modeling , 2013 .

[5]  Jan Vanderborght,et al.  Parameterizing a Dynamic Architectural Model of the Root System of Spring Barley from Minirhizotron Data , 2012 .

[6]  Hendrik Poorter,et al.  Pot size matters: a meta-analysis of the effects of rooting volume on plant growth. , 2012, Functional plant biology : FPB.

[7]  A. Bengough.  Root elongation is restricted by axial but not by radial pressures: so what happens in field soil? , 2012, Plant and Soil.

[8]  Jan Vanderborght,et al.  A simple three-dimensional macroscopic root water uptake model based on the hydraulic architecture approach , 2012 .

[9]  A. Schnepf,et al.  Modeling Phosphorus Uptake by a Growing and Exuding Root System , 2012 .

[10]  B. Steffen,et al.  Effect of Root Water and Solute Uptake on Apparent Soil Dispersivity: A Simulation Study , 2012 .

[11]  P. D. Willigen,et al.  Root Water Uptake as Simulated by Three Soil Water Flow Models , 2012 .

[12]  Jonathan P Lynch,et al.  Complementarity in root architecture for nutrient uptake in ancient maize/bean and maize/bean/squash polycultures. , 2012, Annals of botany.

[13]  J. Lynch,et al.  New roots for agriculture: exploiting the root phenome , 2012, Philosophical Transactions of the Royal Society B: Biological Sciences.

[14]  Stephanie Smith,et al.  Root system architecture: insights from Arabidopsis and cereal crops , 2012, Philosophical Transactions of the Royal Society B: Biological Sciences.

[15]  Konstantinos C. Zygalakis,et al.  A mathematical model for investigating the effect of cluster roots on plant nutrient uptake , 2012, The European Physical Journal Special Topics.

[16]  M. Watt,et al.  Non-destructive quantification of cereal roots in soil using high-resolution X-ray tomography. , 2012, Journal of experimental botany.

[17]  G. Akay,et al.  Agro-Process Intensification through Synthetic Rhizosphere Media for Nitrogen Fixation and Yield Enhancement in Plants , 2012 .

[18]  Jonathan P. Lynch,et al.  RootScan: Software for high-throughput analysis of root anatomical traits , 2012, Plant and Soil.

[19]  Hanno Scharr,et al.  3d Reconstruction of Plant Roots from Mri Images , 2012 .

[20]  P. Reich,et al.  Biomass allocation to leaves, stems and roots: meta-analyses of interspecific variation and environmental control. , 2012, The New phytologist.

[21]  Davey L. Jones,et al.  A dual porosity model of nutrient uptake by root hairs. , 2011, The New phytologist.

[22]  Jan Vanderborght,et al.  Efficient random walk particle tracking algorithm for advective‐dispersive transport in media with discontinuous dispersion coefficients and water contents , 2011 .

[23]  Loïc Pagès,et al.  Links between root developmental traits and foraging performance. , 2011, Plant, cell & environment.

[24]  Liwang Ma,et al.  Methods of Introducing System Models into Agricultural Research , 2011 .

[25]  A. Diggle,et al.  Phenotypic variability and modelling of root structure of wild Lupinus angustifolius genotypes , 2011, Plant and Soil.

[26]  F. Gérard,et al.  Acquisition of phosphorus and other poorly mobile nutrients by roots. Where do plant nutrition models fail? , 2011, Plant and Soil.

[27]  Johannes Auke Postma,et al.  Root Cortical Aerenchyma Enhances the Growth of Maize on Soils with Suboptimal Availability of Nitrogen, Phosphorus, and Potassium1[W][OA] , 2011, Plant Physiology.

[28]  Jonathan P Lynch,et al.  Root Phenes for Enhanced Soil Exploration and Phosphorus Acquisition: Tools for Future Crops , 2011, Plant Physiology.

[29]  H. Ingensand,et al.  A tool to model 3D coarse-root development with annual resolution , 2011, Plant and Soil.

[30]  D. Crowley,et al.  Rhizosphere interactions between microorganisms and plants govern iron and phosphorus acquisition along the root axis – model and research methods , 2011 .

[31]  H. Lambers,et al.  Phosphorus Nutrition of Proteaceae in Severely Phosphorus-Impoverished Soils: Are There Lessons To Be Learned for Future Crops?1 , 2011, Plant Physiology.

[32]  J. Jansa,et al.  Symbiont identity matters: carbon and phosphorus fluxes between Medicago truncatula and different arbuscular mycorrhizal fungi , 2011, Mycorrhiza.

[33]  Lianhai Wu,et al.  Simulation of wheat growth using the 3D root architecture model SPACSYS: Validation and sensitivity analysis , 2011 .

[34]  H. Vereecken,et al.  Parameterizing the Root System Development of Summer Barley using Minirhizotron Data , 2011 .

[35]  Jonathan P Lynch,et al.  Theoretical evidence for the functional benefit of root cortical aerenchyma in soils with low phosphorus availability. , 2011, Annals of botany.

[36]  Jim Hanan,et al.  A functional-structural modelling approach to autoregulation of nodulation. , 2011, Annals of botany.

[37]  Gerhard Buck-Sorlin,et al.  PART OF A SPECIAL ISSUE ON GROWTH AND ARCHITECTURAL MODELLING A functional-structural model of rice linking quantitative genetic information with morphological development and physiological processes , 2011 .

[38]  R. MacCurdy,et al.  Three-Dimensional Root Phenotyping with a Novel Imaging and Software Platform1[C][W][OA] , 2011, Plant Physiology.

[39]  M. Rentonb,et al.  Simulating the interaction between plant roots, soil water and nutrient flows, and barriers and objects in soil using ROOTMAP , 2011 .

[40]  A. Schnepf,et al.  Modelling Phosphorus Dynamics in the Soil–Plant System , 2011 .

[41]  E. Bünemann,et al.  Phosphorus in Action , 2011 .

[42]  Winfried Kurth,et al.  Grammar-Based Models and Fractals , 2011 .

[43]  Lianhai Wu,et al.  Special Features of the SPACSYS Modeling Package and Procedures for Parameterization and Validation , 2011 .

[44]  Hauke Reuter,et al.  Modelling Complex Ecological Dynamics , 2011 .

[45]  P. Hallett,et al.  Root elongation, water stress, and mechanical impedance: a review of limiting stresses and beneficial root tip traits. , 2011, Journal of experimental botany.

[46]  T. Roose,et al.  Traits related to differences in function among three arbuscular mycorrhizal fungi , 2011, Plant and Soil.

[47]  Mathieu Javaux,et al.  A one-dimensional model of water flow in soil-plant systems based on plant architecture , 2011, Plant and Soil.

[48]  M. Miguel.  Functional role and synergystic effect of root traits for phosphorus acquisition efficiency and their genetic basis in common bean (Phaseolus vulgaris L.) , 2010 .

[49]  Daniel Leitner,et al.  The algorithmic beauty of plant roots – an L-System model for dynamic root growth simulation , 2010 .

[50]  M. Ptashnyk.  Derivation of a macroscopic model for nutrient uptake by hairy-roots , 2010 .

[51]  Neeraj Kumar,et al.  Studies on mycorrhizal inoculation on dry matter yield and root colonization of some medicinal plants grown in stress and forest soils. , 2010, Journal of environmental biology.

[52]  M. Noordwijk,et al.  Reconciling root plasticity and architectural ground rules in tree root growth models with voxel automata , 2010, Plant and Soil.

[53]  Daniel Leitner,et al.  Water uptake by a maize root system - An explicit numerical 3-dimensional simulation. , 2010 .

[54]  H. Vereecken,et al.  Root Water Uptake and Tracer Transport in a Lupin Root System: Integration of Magnetic Resonance Images and the Numerical Model RSWMS , 2010 .

[55]  Mathieu Javaux,et al.  Model-assisted integration of physiological and environmental constraints affecting the dynamic and spatial patterns of root water uptake from soils. , 2010, Journal of experimental botany.

[56]  B. Andrieu,et al.  Functional-structural plant modelling: a new versatile tool in crop science. , 2010, Journal of experimental botany.

[57]  Peter J. Gregory,et al.  Root growth models: towards a new generation of continuous approaches. , 2010, Journal of experimental botany.

[58]  J. Lynch,et al.  Root cortical aerenchyma improves the drought tolerance of maize (Zea mays L.). , 2010, Plant, cell & environment.

[59]  Francois Tardieu,et al.  Why work and discuss the basic principles of plant modelling 50 years after the first plant models? , 2010, Journal of experimental botany.

[60]  J. Lynch,et al.  The utility of phenotypic plasticity of root hair length for phosphorus acquisition , 2010 .

[61]  Xiaolong Yan,et al.  Genetic variability for root morph-architecture traits and root growth dynamics as related to phosphorus efficiency in soybean , 2010 .

[62]  H. Ingensand,et al.  Incorporating 2D tree-ring data in 3D laser scans of coarse-root systems , 2010, Plant and Soil.

[63]  T. Boller,et al.  Functional diversity in arbuscular mycorrhiza – the role of gene expression, phosphorous nutrition and symbiotic efficiency , 2010 .

[64]  Daniel Leitner,et al.  A dynamic root system growth model based on L-Systems , 2010, Plant and Soil.

[65]  H. Bilir,et al.  Effect of inoculation with mycorrhizal fungi on growth and nutrient uptake of grapevine genotypes (Vitis spp.). , 2010 .

[66]  Risto Sievänen,et al.  Tree roots as self-similar branching structures: axis differentiation and segment tapering in coarse roots of three boreal forest tree species , 2010, Trees.

[67]  R. Ma.  Modeling Groundwater Flow and Contaminant Transport , 2009 .

[68]  Tobias Wojciechowski,et al.  Root phenomics of crops: opportunities and challenges. , 2009, Functional plant biology : FPB.

[69]  Wolf M. Mooij,et al.  The power of simulating experiments , 2009 .

[70]  Bernd Körfgen,et al.  A grid refinement approach for a three‐dimensional soil‐root water transfer model , 2009 .

[71]  Brian G Forde,et al.  Is it good noise? The role of developmental instability in the shaping of a root system. , 2009, Journal of experimental botany.

[72]  Bernd Körfgen,et al.  Implementation of a Microscopic Soil–Root Hydraulic Conductivity Drop Function in a Three‐Dimensional Soil–Root Architecture Water Transfer Model , 2009 .

[73]  Ulrich Schurr,et al.  Combined MRI-PET dissects dynamic changes in plant structures and functions. , 2009, The Plant journal : for cell and molecular biology.

[74]  S. Attinger,et al.  Implementing small scale processes at the soil-plant interface – the role of root architectures for calculating root water uptake profiles , 2009 .

[75]  V. Dunbabin,et al.  Identifying fertiliser management strategies to maximise nitrogen and phosphorus acquisition by wheat in two contrasting soils from Victoria, Australia , 2009 .

[76]  A. Richardson,et al.  Acquisition of phosphorus and nitrogen in the rhizosphere and plant growth promotion by microorganisms , 2009, Plant and Soil.

[77]  Davey L. Jones,et al.  Carbon flow in the rhizosphere: carbon trading at the soil–root interface , 2009, Plant and Soil.

[78]  R. Serraj,et al.  The large-effect drought-resistance QTL qtl12.1 increases water uptake in upland rice , 2009 .

[79]  R. Rees,et al.  Influence of Soil Compaction on the Dynamics of Root Growth and Mortality in Spring Barley , 2009 .

[80]  M. Rivington,et al.  Using modelling as a tool to explore resource use efficiency by crops. , 2009 .

[81]  Z. Rengel,et al.  Wheat, canola and grain legume access to soil phosphorus fractions differs in soils with contrasting phosphorus dynamics , 2009, Plant and Soil.

[82]  Christophe Godin,et al.  PlantGL: A Python-based geometric library for 3D plant modelling at different scales , 2009, Graph. Model..

[83]  J. Jansa,et al.  Assess suitability of hydroaeroponic culture to establish tripartite symbiosis between different AMF species, beans, and rhizobia , 2009, BMC Plant Biology.

[84]  G. Kirk,et al.  The solution of convection–diffusion equations for solute transport to plant roots , 2009, Plant and Soil.

[85]  T. Roose,et al.  Mathematical models of plant–soil interaction , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[86]  C. Fournier,et al.  OpenAlea: a visual programming and component-based software platform for plant modelling. , 2008, Functional plant biology : FPB.

[87]  Jan Vanderborght,et al.  Use of a Three‐Dimensional Detailed Modeling Approach for Predicting Root Water Uptake , 2008 .

[88]  Bernd Körfgen,et al.  Effect of Local Soil Hydraulic Conductivity Drop Using a Three‐Dimensional Root Water Uptake Model , 2008 .

[89]  Rainer Schulin,et al.  Quantitative Imaging of Infiltration, Root Growth, and Root Water Uptake via Neutron Radiography , 2008 .

[90]  H. Lambers,et al.  Plant nutrient-acquisition strategies change with soil age. , 2008, Trends in ecology & evolution.

[91]  Jonathan P. Lynch,et al.  ROOT STRATEGIES FOR PHOSPHORUS ACQUISITION , 2008 .

[92]  Richard W. Bell,et al.  Simulating and understanding root growth using ROOTMAP to guide phosphorus fertiliser placement in wide row lupin cropping systems. , 2008 .

[93]  John P. Hammond,et al.  The Ecophysiology of Plant-Phosphorus Interactions , 2008 .

[94]  T. Roose,et al.  Growth model for arbuscular mycorrhizal fungi , 2007, Journal of The Royal Society Interface.

[95]  Vm Dunbabin,et al.  Simulating the role of rooting traits in crop-weed competition , 2007 .

[96]  X. Draye,et al.  Root system architecture: opportunities and constraints for genetic improvement of crops. , 2007, Trends in plant science.

[97]  Jonathan P. Lynch,et al.  Roots of the Second Green Revolution , 2007 .

[98]  Loïc Pagès,et al.  Root Functional Architecture: A Framework for Modeling the Interplay between Roots and Soil , 2007, Vadose Zone Journal.

[99]  Fusuo Zhang,et al.  Formation of cluster roots and citrate exudation by Lupinus albus in response to localized application of different phosphorus sources , 2007 .

[100]  J. Witcombe,et al.  Field evaluation of upland rice lines selected for QTLs controlling root traits , 2007 .

[101]  K. Metselaar,et al.  The Shape of the Transpiration Reduction Function under Plant Water Stress , 2007 .

[102]  Lianhai Wu,et al.  SPACSYS: Integration of a 3D root architecture component to carbon, nitrogen and water cycling—Model description , 2007 .

[103]  D. Douds,et al.  Choosing a Mixture Ratio for the On-Farm Production of AM Fungus Inoculum In Mixtures of Compost and Vermiculite , 2008, Bioresource technology.

[104]  X. Draye,et al.  CrossTalk: A Simulation Platform for the Linking of Existing Soil, Plant and Atmosphere Models , 2006, 2006 Second International Symposium on Plant Growth Modeling and Applications.

[105]  Quirijn de Jong van Lier,et al.  Root Water Extraction and Limiting Soil Hydraulic Conditions Estimated by Numerical Simulation , 2006 .

[106]  J. Palta,et al.  Root characteristics of vigorous wheat improve early nitrogen uptake , 2006 .

[107]  Erik J Veneklaas,et al.  Root structure and functioning for efficient acquisition of phosphorus: Matching morphological and physiological traits. , 2006, Annals of botany.

[108]  Tony E Grift,et al.  GENETIC EVALUATION OF ROOT COMPLEXITY IN MAIZE , 2006 .

[109]  L. Pagès,et al.  A simulation model of the three-dimensional architecture of the maize root system , 1989, Plant and Soil.

[110]  A. J. Diggle,et al.  ROOTMAP—a model in three-dimensional coordinates of the growth and structure of fibrous root systems , 1988, Plant and Soil.

[111]  Sean McDermott,et al.  Upscaling from Rhizosphere to Whole Root System: Modelling the Effects of Phospholipid Surfactants on Water and Nutrient Uptake , 2006, Plant and Soil.

[112]  J. Jansa,et al.  Phosphorus Acquisition Strategies within Arbuscular Mycorrhizal Fungal Community of a Single Field Site , 2005, Plant and Soil.

[113]  J. Lynch,et al.  Root architectural tradeoffs for water and phosphorus acquisition. , 2005, Functional plant biology : FPB.

[114]  J. Lynch,et al.  Topsoil foraging and phosphorus acquisition efficiency in maize (Zea mays). , 2005, Functional plant biology : FPB.

[115]  Christophe Godin,et al.  Functional-structural plant modelling. , 2005, The New phytologist.

[116]  E. D. Ford,et al.  Modelling root structure and stability , 1983, Plant and Soil.

[117]  E. Hewitt,et al.  Effects of N-serve (2-chloro-6-(trichloromethyl)pyridine) formulations on nitrification and on loss of nitrate in sand culture experiments , 1979, Plant and Soil.

[118]  P. B. Tinker,et al.  Uptake of solutes by multiple root systems from soil , 1971, Plant and Soil.

[119]  Jonathan P. Lynch,et al.  Architectural Tradeoffs between Adventitious and Basal Roots for Phosphorus Acquisition , 2005, Plant and Soil.

[120]  Loïc Pagès,et al.  Root System Development of Oak Seedlings Analysed using an Architectural Model. Effects of Competition with Grass , 2005, Plant and Soil.

[121]  D. Robinson.  Integrated Root Responses to Variations in Nutrient Supply , 2005 .

[122]  H. Bassirirad.  Nutrient acquisition by plants : an ecological perspective , 2005 .

[123]  J. Lynch.  Root Architecture and Nutrient Acquisition , 2005 .

[124]  Loïc Pagès,et al.  Water Uptake by Plant Roots: II – Modelling of Water Transfer in the Soil Root-system with Explicit Account of Flow within the Root System – Comparison with Experiments , 2006, Plant and Soil.

[125]  J. Lynch,et al.  Rhizoeconomics: Carbon costs of phosphorus acquisition , 2005, Plant and Soil.

[126]  J. Lynch,et al.  The contribution of lateral rooting to phosphorus acquisition efficiency in maize (Zea mays) seedlings. , 2004, Functional plant biology : FPB.

[127]  Jonathan P Lynch,et al.  Modelling applicability of fractal analysis to efficiency of soil exploration by roots. , 2004, Annals of botany.

[128]  A C Fowler,et al.  A mathematical model for water and nutrient uptake by plant root systems. , 2004, Journal of theoretical biology.

[129]  A. Diggle,et al.  Simulating form and function of root systems: efficiency of nitrate uptake is dependent on root system architecture and the spatial and temporal variability of nitrate supply , 2004 .

[130]  N. E. Nielsen,et al.  Root traits as tools for creating phosphorus efficient crop varieties , 2004, Plant and Soil.

[131]  P. Prusinkiewicz.  Modeling plant growth and development. , 2004, Current opinion in plant biology.

[132]  C. Doussan,et al.  Architectural analysis and synthesis of the plum tree root system in an orchard using a quantitative modelling approach , 2003, Plant and Soil.

[133]  A. Diggle,et al.  Simulation of field data by a basic three-dimensional model of interactive root growth , 2002, Plant and Soil.

[134]  A. Diggle,et al.  Modelling the interactions between water and nutrient uptake and root growth , 2002, Plant and Soil.

[135]  J. Lynch,et al.  Topsoil foraging – an architectural adaptation of plants to low phosphorus availability , 2001, Plant and Soil.

[136]  J. Lynch,et al.  Morphological synergism in root hair length, density, initiation and geometry for phosphorus acquisition in Arabidopsis thaliana: A modeling approach , 2001, Plant and Soil.

[137]  K. Thorup-Kristensen.  Are differences in root growth of nitrogen catch crops important for their ability to reduce soil nitrate-N content, and how can this be measured? , 2001, Plant and Soil.

[138]  K. L. Nielsen,et al.  Fractal geometry of root systems: Field observations of contrasting genotypes of common bean (Phaseolus vulgaris L.) grown under different phosphorus regimes , 1999, Plant and Soil.

[139]  J. Hopmans,et al.  Transient three-dimensional modeling of soil water and solute transport with simultaneous root growth, root water and nutrient uptake , 1998, Plant and Soil.

[140]  Loïc Pagès,et al.  Modelling the influence of assimilate availability on root growth and architecture , 1998, Plant and Soil.

[141]  L. Spek.  Generation and visualization of root-like structures in a three-dimensional space , 1997, Plant and Soil.

[142]  L. Pagès,et al.  Modelling minirhizotron observations to test experimental procedures , 1997, Plant and Soil.

[143]  D. Robinson,et al.  Variation, co-ordination and compensation in root systems in relation to soil variability , 1996, Plant and Soil.

[144]  J. Hopmans,et al.  Simultaneous modeling of transient three-dimensional root growth and soil water flow , 1994, Plant and Soil.

[145]  W. Horst,et al.  Root growth and nitrate utilization of maize cultivars under field conditions , 1994, Plant and Soil.

[146]  Sakae Shibusawa,et al.  Modelling the branching growth fractal pattern of the maize root system , 1994, Plant and Soil.

[147]  Andrei G. Jablokow,et al.  Carbon cost of root systems: an architectural approach , 1994, Plant and Soil.

[148]  A. G. Bengough,et al.  Relations between root length densities and root intersections with horizontal and vertical planes using root growth modelling in 3-dimensions , 1992, Plant and Soil.

[149]  J. P. Grime,et al.  A trade-off between scale and precision in resource foraging , 1991, Oecologia.

[150]  E. R. Page,et al.  Mathematical models, based on diffusion equations, to describe root systems of isolated plants, row crops, and swards , 1974, Plant and Soil.

[151]  P. Tinker,et al.  Uptake of solutes by multiple root systems from soil , 1973, Plant and Soil.

[152]  D. Lungley,et al.  The growth of root systems — A numerical computer simulation model , 1973, Plant and Soil.

[153]  Jonathan P Lynch,et al.  The importance of root gravitropism for inter-root competition and phosphorus acquisition efficiency: results from a geometric simulation model , 2004, Plant and Soil.

[154]  Robert D. Davis,et al.  SimRoot: Modelling and visualization of root systems , 2004, Plant and Soil.

[155]  Loïc Pagès,et al.  Root Typ: a generic model to depict and analyse the root system architecture , 2004, Plant and Soil.

[156]  Xiaolong Yan,et al.  Effect of phosphorus availability on basal root shallowness in common bean , 2004, Plant and Soil.

[157]  K. L. Nielsen,et al.  Genetic variation for adventitious rooting in response to low phosphorus availability: potential utility for phosphorus acquisition from stratified soils. , 2003, Functional plant biology : FPB.

[158]  Claude Doussan,et al.  Soil exploration and resource acquisition by plant roots: an architectural and modelling point of view , 2003 .

[159]  V. Dunbabin,et al.  Is there an optimal root architecture for nitrate capture in leaching environments? , 2003, Plant, cell & environment.

[160]  C. Vance,et al.  Phosphorus acquisition and use: critical adaptations by plants for securing a nonrenewable resource. , 2003, The New phytologist.

[161]  V. Dunbabin,et al.  Root architecture and nutrient capture - the complex riddle of what constitutes optimality of root form and function , 2003 .

[162]  Milada Čiamporová,et al.  Waisel, Y., Eshel, A., Kafkafi, U., eds. Plant roots – the hidden half. , 2002 .

[163]  Alastair H. Fitter,et al.  Characteristics and Functions of Root Systems , 2002 .

[164]  Michael Andrew Christie,et al.  Effective Flux Boundary Conditions for Upscaling Porous Media Equations , 2002 .

[165]  J. Lynch,et al.  Root Gravitropism and Below-ground Competition among Neighbouring Plants: A Modelling Approach , 2001 .

[166]  E. Delhaize,et al.  FUNCTION AND MECHANISM OF ORGANIC ANION EXUDATION FROM PLANT ROOTS. , 2001, Annual review of plant physiology and plant molecular biology.

[167]  V. Dunbabin,et al.  Lupinus angustifolius has a plastic uptake response to heterogeneously supplied nitrate while Lupinus pilosus does not , 2001 .

[168]  V. Dunbabin,et al.  The root growth response to heterogeneous nitrate supply differs for Lupinus angustifolius and Lupinus pilosus , 2001 .

[169]  A C Fowler,et al.  A mathematical model of plant nutrient uptake , 2001, Journal of mathematical biology.

[170]  B. H. Janssen,et al.  A mono‐component model of carbon mineralization with a dynamic rate constant , 2000 .

[171]  J. Lynch,et al.  The efficiency of Arabidopsis thaliana (Brassicaceae) root hairs in phosphorus acquisition. , 2000, American-Eurasian journal of botany.

[172]  Loïc Pagès,et al.  MassFlowDyn I: A Carbon Transport and Partitioning Model for Root System Architecture , 2000 .

[173]  L. Pagès.  How to include organ interactions in models of the root system architecture? The concept of endogenous environment. , 2000 .

[174]  J. Hutchinson.  Three into two doesn't go: two-dimensional models of bird eggs, snail shells and plant roots , 2000 .

[175]  D. Jones,et al.  Through form to function: root hair development and nutrient uptake. , 2000, Trends in plant science.

[176]  S. F. Ashby,et al.  Modeling groundwater flow and contaminant transport , 1999 .

[177]  Loïc Pagès,et al.  Root system architecture: from its representation to the study of its elaboration , 1999 .

[178]  Loïc Pagès,et al.  MODELLING OF THE HYDRAULIC ARCHITECTURE OF ROOT SYSTEMS : AN INTEGRATED APPROACH TO WATER ABSORPTION : MODEL DESCRIPTION , 1998 .

[179]  B. Wüthrich.  AN INTERNATIONAL SYMPOSIUM , 1997 .

[180]  R. Yanai,et al.  The Ecology of Root Lifespan , 1997 .

[181]  Osamu Ito,et al.  Dynamics of Roots and Nitrogen in Cropping Systems of the Semi-Arid Tropics , 1996 .

[182]  J. Lynch,et al.  Adaptation of beans (Phaseolus vulgaris L.) to low phosphorus availability , 1995 .

[183]  A. J. Diggle,et al.  Modelling pea (Pisum sativum) root growth in drying soil. A comparison between observations and model predictions , 1995 .

[184]  H. Marschner,et al.  Distribution and function of proteoid roots and other root clusters , 1995 .

[185]  Peter J. Gregory,et al.  Root growth and nitrate uptake by wheat (Triticum aestivum L.) following wetting of dry surface soil , 1995 .

[186]  D. Robinson.  The responses of plants to non-uniform supplies of nutrients. , 1994, The New phytologist.

[187]  Yannick Le Roux,et al.  Développement et polymorphisme racinaires chez de jeunes semis d'hévéa (Hevea brasiliensis) , 1994 .

[188]  J. Lynch,et al.  Growth and architecture of seedling roots of common bean genotypes , 1993 .

[189]  R. Subbaiah,et al.  Root Growth Simulation Model under Specified Environment , 1993 .

[190]  Alastair H. Fitter,et al.  Architectural analysis of plant root systems , 1992 .

[191]  D. Atkinson.  Plant root growth: an ecological perspective. , 1992 .

[192]  Gail W. T. Wilson,et al.  Architectural analysis of plant root systems 1. Architectural correlates of exploitation efficiency , 1991 .

[193]  Max D. Morris,et al.  Factorial sampling plans for preliminary computational experiments , 1991 .

[194]  A. Fitter,et al.  The ecological significance of root system architecture: an economic approach. , 1991 .

[195]  A. Eshel,et al.  Plant roots : the hidden half , 1991 .

[196]  Przemyslaw Prusinkiewicz,et al.  The Algorithmic Beauty of Plants , 1990, The Virtual Laboratory.

[197]  D. Robinson.  Optimal relations between root length and nutrient inflow rate in plant root systems , 1988 .

[198]  Loïc Pagès,et al.  SARAH : modèle de simulation de la croissance, du développement et de l'architecture des systèmes racinaires , 1988 .

[199]  A. Diggle.  Rootmap: a root growth model , 1988 .

[200]  Graeme L. Hammer,et al.  Effects of climatic variability and possible climatic change on reliability of wheat cropping. A modelling approach , 1987 .

[201]  Joe T. Ritchie,et al.  A contribution to simplified models of field solute transport , 1982 .

[202]  Joe T. Ritchie,et al.  Application of an Approximate Analytic Method of Computing Solute Profiles with Dispersion in Soils 1 , 1982 .

[203]  L. Saker,et al.  Nutrient Supply and the Growth of the Seminal Root System in Barley II. LOCALIZED, COMPENSATORY INCREASES IN LATERAL ROOT GROWTH AND RATES OP NITRATE UPTAKE WHEN NITRATE SUPPLY IS RESTRICTED TO ONLY PART OF THE ROOT SYSTEM , 1975 .

[204]  L. Saker,et al.  Nutrient Supply and the Growth of the Seminal Root System in Barley III. COMPENSATORY INCREASES IN GROWTH OF LATERAL ROOTS, AND IN RATES OF PHOSPHATE UPTAKE, IN RESPONSE TO A LOCALIZED SUPPLY OF PHOSPHATE , 1978 .

[205]  L. Saker,et al.  Nutrient Supply and the Growth of the Seminal Root System in Barley I. THE EFFECT OF NITRATE CONCENTRATION ON THE GROWTH OF AXES AND LATERALS , 1973 .

[206]  Lore Kutschera,et al.  Wurzelatlas mitteleuropäischer Ackerunkräuter und Kulturpflanzen , 1960 .