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This work examines the relevance of the one-dimensional models used to study the influx and the cumulative uptake of nutrient by roots. The physical models studied are the fixed boundary model (Barber and Cushman 1981) and an improved…

Tissues and Organs · Quantitative Biology 2015-01-12 Juan C. Reginato , Jorge L. Blengino , Domingo A. Tarzia

Root systems can influence the dynamics of evapotranspiration of water out of a porous medium. The coupling of evapotranspiration remains a key aspect affecting overall root behavior. Predicting the evapotranspiration curve in the presence…

Soft Condensed Matter · Physics 2015-06-22 Cesare M. Cejas , Larry Hough , Jean-Christophe Castaing , Christian Fretigny , Remi Dreyfus

In this paper we consider the multiscale modelling of water transport in vegetated soil. In the microscopic model we distinguish between subdomains of soil and plant tissue, and use the Richards equation to model the water transport through…

Analysis of PDEs · Mathematics 2024-11-05 Andrew Mair , Mariya Ptashnyk

Modeling unsaturated flow through soils with water uptake by plan root has many applications in agriculture and water resources management. In this study, our aim is to develop efficient numerical techniques for solving the Richards…

Numerical Analysis · Mathematics 2024-04-16 Mohamed Boujoudar , Abdelaziz Beljadid , Ahmed Taik

The root is an important organ of a plant since it is responsible for water and nutrient uptake. Analyzing and modelling variabilities in the geometry and topology of roots can help in assessing the plant's health, understanding its growth…

Graphics · Computer Science 2021-01-26 Guan Wang , Hamid Laga , Jinyuan Jia , Stanley J. Miklavcic , Anuj Srivastava

An optimization-based strategy is proposed for coupling three-dimensional and one-dimensional problems (3D-1D coupling) in the context of soil-root interaction simulations. This strategy, originally designed to tackle generic 3D-1D coupled…

Numerical Analysis · Mathematics 2024-12-18 Stefano Berrone , Stefano Ferraris , Denise Grappein , Gioana Teora , Fabio Vicini

The adoption of agroecological practices will be crucial to address the challenges of climate change and biodiversity loss. Such practices favor the cultivation of plants in complex mixtures with layouts differing from the monoculture…

Populations and Evolution · Quantitative Biology 2024-09-26 Julian Talbot , Pascal Viot , David Colliaux

Roots provide basic functions to plants such as water/nutrient uptake and anchoring in soil. The growth and development of root systems contribute to colonizing the surrounding soil and optimizing the access to resources. It is usually…

Soft Condensed Matter · Physics 2019-04-24 M. Fakih , J. -Y. Delenne , F. Radjai , T. Fourcaud

Irrigation decision systems and water need models have been important research topics in agriculture since 90s. They improve the efficiency of crop yields, provide an appropriate use of water on the earth and so, prevent the water scarcity…

Systems and Control · Electrical Eng. & Systems 2021-07-14 Meriç Çetin , Senem Yıldız , Selami Beyhan

The global population increase leads to a high food demand, and to reach this target products such as pesticides are needed to protect the crops. Research is focusing on the development of new products that can be less harmful to the…

Quantitative Methods · Quantitative Biology 2025-02-13 Enrico Sangoi , Federica Cattani , Faheem Padia , Federico Galvanin

The sorption curve is an essential feature for the modelling of heat and mass transfer in porous building materials. Several models have been proposed in the literature to represent the amount of moisture content in the material according…

Applications · Statistics 2021-04-21 Julien Berger , Thibaut Colinart , Bruna R. Loiola , Helcio R. B. Orlande

We present a numerical scheme for the solution of nonlinear mixed-dimensional PDEs describing coupled processes in embedded tubular network system in exchange with a bulk domain. Such problems arise in various biological and technical…

Computational Engineering, Finance, and Science · Computer Science 2021-11-23 Timo Koch , Hanchuan Wu , Martin Schneider

A model is presented for the gravity-driven flow of rainwater descending through the soil layer of a green roof, treated as a porous medium on a flat permeable surface representing an efficient drainage layer. A fully saturated zone is…

We investigate certain aspects of the physical mechanisms of root growth in a granular medium and how these roots adapt to changes in water distribution induced by the presence of structural inhomogeneities in the form of solid intrusions.…

Water retention is one of the key soil characteristics. Available models of soil water retention relate to the curve-fitting type. The objective of this work is to suggest a physical model of water retention (drying branch) for soils with a…

Geophysics · Physics 2014-04-29 V. Y. Chertkov

Food production needs to increase significantly in 30 years, and water loss from plants may hold one key, especially relevant in a time of climate change. The plant leaf cuticle is the final defence of leaves in drought and at night, and so…

Biological Physics · Physics 2021-02-18 E. C. Tredenick , G. D. Farquhar

The water circulation in the Soil-Plant-Atmosphere continuum and particularly the soil erosion induced by water are problems of main concern in the new era of climate change. The present paper aims to provide a mathematical tool to…

Fluid Dynamics · Physics 2024-08-23 Stelian Ion , Dorin Marinescu , Stefan-Gicu Cruceanu

The paper studies a class of variational problems, modeling optimal shapes for tree roots. Given a measure $\mu$ describing the distribution of root hair cells, we seek to maximize a harvest functional $\mathcal{H}$, computing the total…

Optimization and Control · Mathematics 2024-04-12 Alberto Bressan , Sondre T. Galtung , Qing Sun

Proximal gamma-ray spectroscopy supported by adequate calibration and correction for growing biomass is an effective field scale technique for a continuous monitoring of top soil water content dynamics to be potentially employed as a…

Plant root growth is dramatically reduced in compacted soils, affecting the growth of the whole plant. Through a model experiment coupling force and kinematics measurements, we probed the force-growth relationship of a primary root…

Tissues and Organs · Quantitative Biology 2022-05-10 Manon Quiros , Marie-Béatrice Bogeat-Triboulot , Etienne Couturier , Evelyne Kolb
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