Regulated transport as a mechanism for pattern generation: Capabilities for phyllotaxis and beyond

Sahlin, Patrik; Söderberg, Bo; Jönsson, Henrik

doi:10.1016/j.jtbi.2009.01.019

Cited by 49 publications

(95 citation statements)

References 36 publications

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“…In one type of model, cells become polarised if they sense that their neighbours have different auxin concentrations. PIN proteins then become localised to the cell end with the highest auxin level in its neighbour (Bayer et al, 2009;Jönsson et al, 2006;Smith et al, 2006;Sahlin et al, 2009). This leads to auxin flowing up intercellular auxin gradients.…”

Section: Pin Localisation In Plantsmentioning

confidence: 99%

An intracellular partitioning-based framework for tissue cell polarity in plants and animals

et al. 2013

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SummaryTissue cell polarity plays a major role in plant and animal development. We propose that a fundamental building block for tissue cell polarity is the process of intracellular partitioning, which can establish individual cell polarity in the absence of asymmetric cues. Coordination of polarities may then arise through cell-cell coupling, which can operate directly, through membrane-spanning complexes, or indirectly, through diffusible molecules. Polarity is anchored to tissues through organisers located at boundaries. We show how this intracellular partitioning-based framework can be applied to both plant and animal systems, allowing different processes to be placed in a common evolutionary and mechanistic context.

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Section: Pin Localisation In Plantsmentioning

confidence: 99%

An intracellular partitioning-based framework for tissue cell polarity in plants and animals

et al. 2013

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“…Besides the model by Smith et al (Smith et al, 2006), we applied our analysis to several further published concentration-based models Merks et al, 2007;Newell et al, 2007;Sahlin et al, 2009). For the model by Newell et al (Newell et al, 2007), which combines auxin concentration feedback on PINs and mechanical effects, we have not considered the mechanical effects.…”

Section: Concentration-based Modelsmentioning

confidence: 99%

“…Concentration-based models do not automatically allow for self-organised patterning. For polaritydriven self-organised patterning to arise, either a non-linear feedback function (Smith et al, 2006;Jönsson et al, 2006) and/or non-linearity in auxin pumping dynamics Merks et al, 2007;Sahlin et al, 2009) is necessary. This difference between concentration-based and flux-based models is due to the inherent presence of non-linearity in flux-based models.…”

Section: Concentration-based Modelsmentioning

confidence: 99%

“…For certain parameter conditions, and combined with a finite PIN pool that causes competition for PINs between membranes and hence promotes cellular polarity, these effects destabilise the single stable equilibrium of the system and lead to the formation of auxin maxima and PIN polarity (see our bifurcation analysis in supplementary material Appendix S1). The detailed analysis by Sahlin et al (Sahlin et al, 2009) suggests that this mechanism might, in addition to the isolated maxima needed for phyllotactic patterns, also generate stripe-like patterns.…”

Section: Concentration-based Modelsmentioning

confidence: 99%

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Polar auxin transport: models and mechanisms

et al. 2013

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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 selforganised 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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“…To show that the postulated interactions between auxin and PINs can produce a pattern of approximately equidistant convergence points in a file of cells, we construct a simple computational model governed by three equations (for related models and their analysis see [23][24][25][26][27]). The first equation describes the flux J i→ j of auxin from cell i to the adjacent cell j as the sum of active and diffusive transport: i j…”

Section: Convergence Point Smentioning

confidence: 99%

Modeling Morphogenesis in Multicellular Structures with Cell Complexes and L-systems

Prusinkiewicz

Lane

2012

Springer Proceedings in Mathematics

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We consider computational modeling of biological systems that consist of discrete components arranged into linear structures. As time advances, these components may process information, communicate and divide. We show that: (1) the topological notion of cell complexes provides a useful framework for simulating information processing and flow between components; (2) an index-free notation exploiting topological adjacencies in the structure is needed to conveniently model structures in which the number of components changes (for example, due to cell division); and (3) Lindenmayer systems operating on cell complexes combine the above elements in the case of linear structures. These observations provide guidance for constructing L-systems and explain their modeling power. L-systems operating on cell complexes are illustrated by revisiting models of heterocyst formation in Anabaena and by presenting a simple model of leaf development focused on the morphogenetic role of the leaf margin.

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Regulated transport as a mechanism for pattern generation: Capabilities for phyllotaxis and beyond

Cited by 49 publications

References 36 publications

An intracellular partitioning-based framework for tissue cell polarity in plants and animals

An intracellular partitioning-based framework for tissue cell polarity in plants and animals

Polar auxin transport: models and mechanisms

Modeling Morphogenesis in Multicellular Structures with Cell Complexes and L-systems

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