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Modeling and numerical simulation of the colonization of plant growth-promoting bacteria in the rice rhizosphere

https://doi.org/10.2139/ssrn.7404451
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Root exudation patterns of contrasting rice (Oryza sativa L.) lines in response to P limitation
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Keller-Segel Chemotaxis Models: A Review
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Expansion of rice enzymatic rhizosphere: temporal dynamics in response to phosphorus and cellulose application
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Rhizosphere models: their concepts and application to plant-soil ecosystems
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Use of plant growth-promoting rhizobacteria to control stress responses of plant roots
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Model for chemotaxis
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A mathematical model for dispersal of bacterial inoculants colonizing the wheat rhizosphere
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A moving-boundary model of reactive settling in wastewater treatment. Part 2: Numerical scheme
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Mathematical modeling of PGPR inoculation into the rhizosphere
inferredcites →https://doi.org/10.1016/j.jksus.2013.05.001openalex-snapshot
Mechanisms and applications of plant growth promoting rhizobacteria: Current perspective
inferredcites →https://doi.org/10.1016/j.physa.2013.07.022openalex-snapshot
The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion
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One hundred years of Michaelis–Menten kinetics
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Stability and dynamics of enzyme activity patterns in the rice rhizosphere: Effects of plant growth and temperature
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Reaction–diffusion modelling of bacterial colony patterns
inferredcites →https://doi.org/10.1017/cbo9780511791253openalex-snapshot
Finite Volume Methods for Hyperbolic Problems
inferredcites →https://doi.org/10.1023/a:1020809400075openalex-snapshot
Root exudates as mediators of mineral acquisition in low-nutrient environments
inferredcites →https://doi.org/10.1023/b:mici.0000023988.11064.43openalex-snapshot
Mathematical Simulation of the Dynamics of Interacting Populations of Rhizosphere Microorganisms
inferredcites →https://doi.org/10.1051/m2an/2023068openalex-snapshot
Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors
inferredcites →https://doi.org/10.1088/1361-6544/aaf8c0openalex-snapshot
On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms
inferredcites →https://doi.org/10.1093/imamat/hxac033openalex-snapshot
A degenerating convection–diffusion system modelling froth flotation with drainage
inferredcites →https://doi.org/10.1093/jxb/erw115openalex-snapshot
Root hair formation in rice (Oryza sativaL.) differs between root types and is altered in artificial growth conditions
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The chemical basis of morphogenesis
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A Simple Quantitative Assay for Bacterial Motility
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Modeling of spatiotemporal patterns in bacterial colonies
inferredcites →https://doi.org/10.1104/pp.116.1.1openalex-snapshot
Plant-Plant Communications: Rhizosphere Signaling between Parasitic Angiosperms and Their Hosts1
inferredcites →https://doi.org/10.1111/pce.14285openalex-snapshot
Rice increases phosphorus uptake in strongly sorbing soils by intra‐root facilitation
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Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
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Rhizobacteria for Improvement of Plant Growth and Establishment
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Mechanisms of Early Microbial Establishment on Growing Root Surfaces
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