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Marconi M, Gallemi M, Benkova E, Wabnik K. A coupled mechano-biochemical model for cell polarity guided anisotropic root growth. eLife 2021; 10:72132. [PMID: 34723798 PMCID: PMC8716106 DOI: 10.7554/elife.72132] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/12/2021] [Accepted: 10/26/2021] [Indexed: 11/21/2022] Open
Abstract
Plants develop new organs to adjust their bodies to dynamic changes in the environment. How independent organs achieve anisotropic shapes and polarities is poorly understood. To address this question, we constructed a mechano-biochemical model for Arabidopsis root meristem growth that integrates biologically plausible principles. Computer model simulations demonstrate how differential growth of neighboring tissues results in the initial symmetry-breaking leading to anisotropic root growth. Furthermore, the root growth feeds back on a polar transport network of the growth regulator auxin. Model, predictions are in close agreement with in vivo patterns of anisotropic growth, auxin distribution, and cell polarity, as well as several root phenotypes caused by chemical, mechanical, or genetic perturbations. Our study demonstrates that the combination of tissue mechanics and polar auxin transport organizes anisotropic root growth and cell polarities during organ outgrowth. Therefore, a mobile auxin signal transported through immobile cells drives polarity and growth mechanics to coordinate complex organ development.
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Affiliation(s)
- Marco Marconi
- CBGP Centro de Biotecnologia y Genomica de Plantas UPM-INIA, Pozuelo de Alarcón, Spain
| | - Marcal Gallemi
- Institute of Science and Technology (IST), Klosterneuburg, Austria
| | - Eva Benkova
- Institute of Science and Technology (IST), Klosterneuburg, Austria
| | - Krzysztof Wabnik
- CBGP Centro de Biotecnologia y Genomica de Plantas UPM-INIA, Pozuelo de Alarcón, Spain
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2
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ten Tusscher KH. What remains of the evidence for auxin feedback on PIN polarity patterns? PLANT PHYSIOLOGY 2021; 186:804-807. [PMID: 33760101 PMCID: PMC8195499 DOI: 10.1093/plphys/kiab118] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/08/2021] [Accepted: 03/20/2021] [Indexed: 05/29/2023]
Abstract
In light of recent findings, the feedback between auxin and PIN that plays a major role in models for self-organized auxin patterning requires revisiting.
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Affiliation(s)
- Kirsten H ten Tusscher
- Department of Theoretical Biology, Faculty of Sciences, Utrecht University, Padualaan 8, 3584 CH, Utrecht, The Netherlands
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3
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Lavania D, Linh NM, Scarpella E. Of Cells, Strands, and Networks: Auxin and the Patterned Formation of the Vascular System. Cold Spring Harb Perspect Biol 2021; 13:cshperspect.a039958. [PMID: 33431582 DOI: 10.1101/cshperspect.a039958] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
Throughout plant development, vascular cells continually form from within a population of seemingly equivalent cells. Vascular cells connect end to end to form continuous strands, and vascular strands connect at both or either end to form networks of exquisite complexity and mesmerizing beauty. Here we argue that experimental evidence gained over the past few decades implicates the plant hormone auxin-its production, transport, perception, and response-in all the steps that lead to the patterned formation of the plant vascular system, from the formation of vascular cells to their connection into vascular networks. We emphasize the organizing principles of the cell- and tissue-patterning process, rather than its molecular subtleties. In the picture that emerges, cells compete for an auxin-dependent, cell-polarizing signal; positive feedback between cell polarization and cell-to-cell movement of the polarizing signal leads to gradual selection of cell files; and selected cell files differentiate into vascular strands that drain the polarizing signal from the neighboring cells. Although the logic of the patterning process has become increasingly clear, the molecular details remain blurry; the future challenge will be to bring them into razor-sharp focus.
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Affiliation(s)
- Dhruv Lavania
- Department of Biological Sciences, University of Alberta, Edmonton, Alberta T6G 2E9, Canada
| | - Nguyen Manh Linh
- Department of Biological Sciences, University of Alberta, Edmonton, Alberta T6G 2E9, Canada
| | - Enrico Scarpella
- Department of Biological Sciences, University of Alberta, Edmonton, Alberta T6G 2E9, Canada
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4
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Linh NM, Verna C, Scarpella E. Coordination of cell polarity and the patterning of leaf vein networks. CURRENT OPINION IN PLANT BIOLOGY 2018; 41:116-124. [PMID: 29278780 DOI: 10.1016/j.pbi.2017.09.009] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/09/2017] [Revised: 09/12/2017] [Accepted: 09/15/2017] [Indexed: 06/07/2023]
Abstract
During development, the behavior of cells in tissues is coordinated along specific orientations or directions by coordinating the polar localization of components in those cells. The coordination of such cell polarity is perhaps nowhere more spectacular than in developing leaves, where the polarity of hundreds of cells is coordinated in the leaf epidermis and inner tissue to pattern vein networks. Available evidence suggests that the spectacular coordination of cell polarity that patterns vein networks is controlled by auxin transport and levels, and by genes that have been implicated in the polar localization of auxin transporters.
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Affiliation(s)
- Nguyen Manh Linh
- Department of Biological Sciences, University of Alberta, Edmonton, AB, Canada
| | - Carla Verna
- Department of Biological Sciences, University of Alberta, Edmonton, AB, Canada
| | - Enrico Scarpella
- Department of Biological Sciences, University of Alberta, Edmonton, AB, Canada.
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5
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Mironova V, Teale W, Shahriari M, Dawson J, Palme K. The Systems Biology of Auxin in Developing Embryos. TRENDS IN PLANT SCIENCE 2017; 22:225-235. [PMID: 28131745 DOI: 10.1016/j.tplants.2016.11.010] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/31/2016] [Revised: 11/08/2016] [Accepted: 11/11/2016] [Indexed: 05/13/2023]
Abstract
Systems biology orientates signaling pathways in their biological context. This aim invariably requires models that ignore extraneous factors and focus on the most crucial pathways of any given process. The developing embryo encapsulates many important processes in plant development; understanding their interaction will be key to designing crops able to maximize yield in an ever-more challenging world. Here, we briefly summarize the role of auxin during embryo development. We highlight recent advances in our understanding of auxin signaling and discuss implications for a systems understanding of development.
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Affiliation(s)
- Victoria Mironova
- Institute of Cytology and Genetics, Novosibirsk, 630090, Russia; Novosibirsk State University, Novosibirsk, 630090, Russia
| | - William Teale
- Institute of Biology II, University of Freiburg, Schänzlestrasse 1, 79104 Freiburg, Germany
| | - Mojgan Shahriari
- Institute of Biology II, University of Freiburg, Schänzlestrasse 1, 79104 Freiburg, Germany
| | - Jonathan Dawson
- Department of Physics, Syracuse University, Syracuse, NY 13210, USA
| | - Klaus Palme
- Institute of Biology II, University of Freiburg, Schänzlestrasse 1, 79104 Freiburg, Germany; BIOSS Centre for Biological Signalling Studies, Albert-Ludwigs-University of Freiburg, Freiburg 79104, Germany; Freiburg Institute of Advanced Sciences (FRIAS), Albert-Ludwigs-University of Freiburg, Freiburg79104, Germany.
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6
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Grigolon S, Sollich P, Martin OC. Modelling the emergence of polarity patterns for the intercellular transport of auxin in plants. J R Soc Interface 2016; 12. [PMID: 25977961 DOI: 10.1098/rsif.2014.1223] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
The hormone auxin is actively transported throughout plants via protein machineries including the dedicated transporter known as PIN. The associated transport is ordered with nearby cells driving auxin flux in similar directions. Here, we provide a model of both the auxin transport and of the dynamics of cellular polarization based on flux sensing. Our main findings are: (i) spontaneous intracellular PIN polarization arises if PIN recycling dynamics are sufficiently nonlinear, (ii) there is no need for an auxin concentration gradient and (iii) ordered multi-cellular patterns of PIN polarization are favoured by molecular noise.
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7
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Draelants D, Avitabile D, Vanroose W. Localized auxin peaks in concentration-based transport models of the shoot apical meristem. J R Soc Interface 2016; 12:rsif.2014.1407. [PMID: 25878130 DOI: 10.1098/rsif.2014.1407] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023] Open
Abstract
We study the formation of auxin peaks in a generic class of concentration-based auxin transport models, posed on static plant tissues. Using standard asymptotic analysis, we prove that, on bounded domains, auxin peaks are not formed via a Turing instability in the active transport parameter, but via simple corrections to the homogeneous steady state. When the active transport is small, the geometry of the tissue encodes the peaks' amplitude and location: peaks arise where cells have fewer neighbours, that is, at the boundary of the domain. We test our theory and perform numerical bifurcation analysis on two models that are known to generate auxin patterns for biologically plausible parameter values. In the same parameter regimes, we find that realistic tissues are capable of generating a multitude of stationary patterns, with a variable number of auxin peaks, that can be selected by different initial conditions or by quasi-static changes in the active transport parameter. The competition between active transport and production rate determines whether peaks remain localized or cover the entire domain. In particular, changes in the auxin production that are fast with respect to the cellular life cycle affect the auxin peak distribution, switching from localized spots to fully patterned states. We relate the occurrence of localized patterns to a snaking bifurcation structure, which is known to arise in a wide variety of nonlinear media, but has not yet been reported in plant models.
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Affiliation(s)
- Delphine Draelants
- Department of Mathematics and Computer Science, Universiteit Antwerpen, Middelheimlaan 1, 2020 Antwerpen, Belgium
| | - Daniele Avitabile
- Centre for Mathematical Medicine and Biology, School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK
| | - Wim Vanroose
- Department of Mathematics and Computer Science, Universiteit Antwerpen, Middelheimlaan 1, 2020 Antwerpen, Belgium
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Fàbregas N, Formosa-Jordan P, Confraria A, Siligato R, Alonso JM, Swarup R, Bennett MJ, Mähönen AP, Caño-Delgado AI, Ibañes M. Auxin influx carriers control vascular patterning and xylem differentiation in Arabidopsis thaliana. PLoS Genet 2015; 11:e1005183. [PMID: 25922946 PMCID: PMC4414528 DOI: 10.1371/journal.pgen.1005183] [Citation(s) in RCA: 45] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/30/2014] [Accepted: 03/29/2015] [Indexed: 12/23/2022] Open
Abstract
Auxin is an essential hormone for plant growth and development. Auxin influx carriers AUX1/LAX transport auxin into the cell, while auxin efflux carriers PIN pump it out of the cell. It is well established that efflux carriers play an important role in the shoot vascular patterning, yet the contribution of influx carriers to the shoot vasculature remains unknown. Here, we combined theoretical and experimental approaches to decipher the role of auxin influx carriers in the patterning and differentiation of vascular tissues in the Arabidopsis inflorescence stem. Our theoretical analysis predicts that influx carriers facilitate periodic patterning and modulate the periodicity of auxin maxima. In agreement, we observed fewer and more spaced vascular bundles in quadruple mutants plants of the auxin influx carriers aux1lax1lax2lax3. Furthermore, we show AUX1/LAX carriers promote xylem differentiation in both the shoot and the root tissues. Influx carriers increase cytoplasmic auxin signaling, and thereby differentiation. In addition to this cytoplasmic role of auxin, our computational simulations propose a role for extracellular auxin as an inhibitor of xylem differentiation. Altogether, our study shows that auxin influx carriers AUX1/LAX regulate vascular patterning and differentiation in plants.
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Affiliation(s)
- Norma Fàbregas
- Department of Molecular Genetics, Centre for Research in Agricultural Genomics (CRAG) CSIC-IRTA-UAB-UB, Barcelona, Spain
| | - Pau Formosa-Jordan
- Department of Structure and Constituents of Matter, Faculty of Physics, University of Barcelona, Barcelona, Spain
| | - Ana Confraria
- Department of Molecular Genetics, Centre for Research in Agricultural Genomics (CRAG) CSIC-IRTA-UAB-UB, Barcelona, Spain
| | - Riccardo Siligato
- Institute of Biotechnology, University of Helsinki, Helsinki, Finland
- Department of Biosciences, University of Helsinki, Helsinki, Finland
| | - Jose M. Alonso
- Department of Plant and Microbial Biology, North Carolina State University, Raleigh, North Carolina, United States of America
| | - Ranjan Swarup
- School of Biosciences and Centre for Plant Integrative Biology, University of Nottingham, Nottingham, United Kingdom
| | - Malcolm J. Bennett
- School of Biosciences and Centre for Plant Integrative Biology, University of Nottingham, Nottingham, United Kingdom
| | - Ari Pekka Mähönen
- Institute of Biotechnology, University of Helsinki, Helsinki, Finland
- Department of Biosciences, University of Helsinki, Helsinki, Finland
| | - Ana I. Caño-Delgado
- Department of Molecular Genetics, Centre for Research in Agricultural Genomics (CRAG) CSIC-IRTA-UAB-UB, Barcelona, Spain
| | - Marta Ibañes
- Department of Structure and Constituents of Matter, Faculty of Physics, University of Barcelona, Barcelona, Spain
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9
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Ohashi-Ito K, Fukuda H. Initiation of vascular development. PHYSIOLOGIA PLANTARUM 2014; 151:142-146. [PMID: 24111590 DOI: 10.1111/ppl.12111] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/23/2013] [Revised: 09/06/2013] [Accepted: 09/22/2013] [Indexed: 06/02/2023]
Abstract
The initiation of vascular development occurs during embryogenesis and the development of lateral organs, such as lateral roots and leaves. Understanding the mechanism underlying the initiation of vascular development has been an important goal of plant biologists. Auxin flow is a crucial factor involved in the initiation of vascular development. In addition, recent studies have identified key factors that regulate the establishment of vascular initial cells in embryos and roots. In this review, we summarize the recent findings in this field and discuss the initiation of vascular development.
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Affiliation(s)
- Kyoko Ohashi-Ito
- Department of Biological Sciences, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo, 113-0033, Japan
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10
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van Berkel K, de Boer RJ, Scheres B, ten Tusscher K. Polar auxin transport: models and mechanisms. Development 2013; 140:2253-68. [PMID: 23674599 DOI: 10.1242/dev.079111] [Citation(s) in RCA: 89] [Impact Index Per Article: 8.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
Spatial patterns of the hormone auxin are important drivers of plant development. The observed feedback between the active, directed transport that generates auxin patterns and the auxin distribution that influences transport orientation has rendered this a popular subject for modelling studies. Here we propose a new mathematical framework for the analysis of polar auxin transport and present a detailed mathematical analysis of published models. We show that most models allow for self-organised patterning for similar biological assumptions, and find that the pattern generated is typically unidirectional, unless additional assumptions or mechanisms are incorporated. Our analysis thus suggests that current models cannot explain the bidirectional fountain-type patterns found in plant meristems in a fully self-organised manner, and we discuss future research directions to address the gaps in our understanding of auxin transport mechanisms.
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Affiliation(s)
- Klaartje van Berkel
- Molecular Genetics Group, Department of Biology, Utrecht University, Padualaan 8, 3584 CH Utrecht, The Netherlands.
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Mirabet V, Besnard F, Vernoux T, Boudaoud A. Noise and robustness in phyllotaxis. PLoS Comput Biol 2012; 8:e1002389. [PMID: 22359496 PMCID: PMC3280957 DOI: 10.1371/journal.pcbi.1002389] [Citation(s) in RCA: 47] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/22/2011] [Accepted: 12/30/2011] [Indexed: 11/18/2022] Open
Abstract
A striking feature of vascular plants is the regular arrangement of lateral organs on the stem, known as phyllotaxis. The most common phyllotactic patterns can be described using spirals, numbers from the Fibonacci sequence and the golden angle. This rich mathematical structure, along with the experimental reproduction of phyllotactic spirals in physical systems, has led to a view of phyllotaxis focusing on regularity. However all organisms are affected by natural stochastic variability, raising questions about the effect of this variability on phyllotaxis and the achievement of such regular patterns. Here we address these questions theoretically using a dynamical system of interacting sources of inhibitory field. Previous work has shown that phyllotaxis can emerge deterministically from the self-organization of such sources and that inhibition is primarily mediated by the depletion of the plant hormone auxin through polarized transport. We incorporated stochasticity in the model and found three main classes of defects in spiral phyllotaxis--the reversal of the handedness of spirals, the concomitant initiation of organs and the occurrence of distichous angles--and we investigated whether a secondary inhibitory field filters out defects. Our results are consistent with available experimental data and yield a prediction of the main source of stochasticity during organogenesis. Our model can be related to cellular parameters and thus provides a framework for the analysis of phyllotactic mutants at both cellular and tissular levels. We propose that secondary fields associated with organogenesis, such as other biochemical signals or mechanical forces, are important for the robustness of phyllotaxis. More generally, our work sheds light on how a target pattern can be achieved within a noisy background.
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Affiliation(s)
- Vincent Mirabet
- Laboratoire Joliot-Curie, CNRS, ENS, Université de Lyon, Lyon, France
- Laboratoire Reproduction et Développement des Plantes, INRA, CNRS, ENS, Université de Lyon, Lyon, France
| | - Fabrice Besnard
- Laboratoire Reproduction et Développement des Plantes, INRA, CNRS, ENS, Université de Lyon, Lyon, France
| | - Teva Vernoux
- Laboratoire Reproduction et Développement des Plantes, INRA, CNRS, ENS, Université de Lyon, Lyon, France
- * E-mail: (TV); (AB)
| | - Arezki Boudaoud
- Laboratoire Joliot-Curie, CNRS, ENS, Université de Lyon, Lyon, France
- Laboratoire Reproduction et Développement des Plantes, INRA, CNRS, ENS, Université de Lyon, Lyon, France
- * E-mail: (TV); (AB)
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