Scaling of pattern formations and morphogen gradients

Inomata, Hajime

doi:10.1111/dgd.12337

Cited by 32 publications

(24 citation statements)

References 94 publications

(156 reference statements)

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“…Eq. (14) shows that the equilibrium density change (i.e., σ 1 ) can yield a tangential force density and induce tangential lipid flow. In addition, Eq.…”

Section: Our Contribution To the Theory For Small Deformationsmentioning

confidence: 98%

“…Additionally, the role of gradients of "morphogens", i.e. secreted signaling molecules that determine the arrangement and developmental fate of cells according to their position inside a developing tissue or organism, is now recognized [14]. The role of pH gradients, which involve the ubiquitous H + (H 3 O + ) and OH − ions, in cell motility and deformation processes, emerged more recently.…”

Section: Ph-induced Migration Deformation and Polarization Processesmentioning

confidence: 99%

“…Our general expressions Eqs. (14), (15) and (16) of the force densities in a chemically modified membrane allow for a comparison of the effects produced by an equilibrium density change and by a spontaneous curvature change. Affecting the local spontaneous curvature of a bilayer membrane can yield membrane deformation and budding [88][89][90].…”

Section: Our Contribution To the Theory For Small Deformationsmentioning

confidence: 99%

“…Using the elastic force densities in Eqs. (14)(15)(16), we describe the dynamics of the membrane to first order in the spirit of Ref. [78].…”

Section: Our Contribution To the Theory For Small Deformationsmentioning

confidence: 99%

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pH sensing by lipids in membranes: The fundamentals of pH-driven migration, polarization and deformations of lipid bilayer assemblies

Angelova

Bitbol

Seigneuret

et al. 2018

Biochimica et Biophysica Acta (BBA) - Biomembranes

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Most biological molecules contain acido-basic groups that modulate their structure and interactions. A consequence is that pH gradients, local heterogeneities and dynamic variations are used by cells and organisms to drive or regulate specific biological functions including energetic metabolism, vesicular traffic, migration and spatial patterning of tissues in development. While the direct or regulatory role of pH in protein function is well documented, the role of hydrogen and hydroxyl ions in modulating the properties of lipid assemblies such as bilayer membranes is only beginning to be understood. Here, we review approaches using artificial lipid vesicles that have been instrumental in providing an understanding of the influence of pH gradients and local variations on membrane vectorial motional processes: migration, membrane curvature effects promoting global or local deformations, crowding generation by segregative polarization processes. In the case of pH induced local deformations, an extensive theoretical framework is given and an application to a specific biological issue, namely the structure and stability of mitochondrial cristae, is described. This article is part of a Special Issue entitled: Emergence of Complex Behavior in Biomembranes edited by Marjorie Longo.

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“…Eq. (14) shows that the equilibrium density change (i.e., σ 1 ) can yield a tangential force density and induce tangential lipid flow. In addition, Eq.…”

Section: Our Contribution To the Theory For Small Deformationsmentioning

confidence: 98%

Section: Ph-induced Migration Deformation and Polarization Processesmentioning

confidence: 99%

Section: Our Contribution To the Theory For Small Deformationsmentioning

confidence: 99%

“…Using the elastic force densities in Eqs. (14)(15)(16), we describe the dynamics of the membrane to first order in the spirit of Ref. [78].…”

Section: Our Contribution To the Theory For Small Deformationsmentioning

confidence: 99%

See 2 more Smart Citations

pH sensing by lipids in membranes: The fundamentals of pH-driven migration, polarization and deformations of lipid bilayer assemblies

Angelova

Bitbol

Seigneuret

et al. 2018

Biochimica et Biophysica Acta (BBA) - Biomembranes

View full text Add to dashboard Cite

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“…Evidence going back over a century suggests that positional information is often specified in relative, rather than absolute coordinates, i.e. scaled to the size of the territory being patterned (Cooke, 1981;De Robertis, 2006;Driesch, 1891;Inomata, 2017;Ishimatsu et al, 2018;Teleman and Cohen, 2000). Fifty years ago, Wolpert argued that this implies that morphogen gradients adjust themselves to fit the fields on which they act (Wolpert, 1969).…”

Section: Introductionmentioning

confidence: 99%

Feedback control of morphogen gradient scale

Zhu

Qiu

Chen

et al. 2019

Preprint

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Gradients of the morphogen decapentaplegic (Dpp) pattern Drosophila wing imaginal discs, establishing gene expression boundaries at specific locations. As discs grow, Dpp gradients expand, keeping relative boundary positions approximately stationary. Such scaling fails in mutants for Pentagone (pent), a gene repressed by Dpp that encodes a diffusible protein that expands Dpp gradients. Although these properties fit a recent mathematical model of automatic gradient scaling, we show here that Pent lacks a property essential to that model-the ability to spread with minimal loss throughout the morphogen field. Instead, Pent's actions appear confined to within a few cell diameters of its site of synthesis, and can be phenocopied by manipulating non-diffusible targets of Pent strictly within the Pent expression domain. Through genetic manipulation and mathematical modeling we develop an alternative model of scaling, driven by feedback downregulation of Dpp receptors and co-receptors. Among the model's predictions is a size limit beyond which scaling fails-something we observe directly in wing discs.

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The Biophysics of Regenerative Repair Suggests New Perspectives on Biological Causation

Levin

2020

BioEssays

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Evolution exploits the physics of non-neural bioelectricity to implement anatomical homeostasis: a process in which embryonic patterning, remodeling, and regeneration achieve invariant anatomical outcomes despite external interventions. Linear "developmental pathways" are often inadequate explanations for dynamic large-scale pattern regulation, even when they accurately capture relationships between molecular components. Biophysical and computational aspects of collective cell activity toward a target morphology reveal interesting aspects of causation in biology. This is critical not only for unraveling evolutionary and developmental events, but also for the design of effective strategies for biomedical intervention. Bioelectrical controls of growth and form, including stochastic behavior in such circuits, highlight the need for the formulation of nuanced views of pathways, drivers of system-level outcomes, and modularity, borrowing from concepts in related disciplines such as cybernetics, control theory, computational neuroscience, and information theory. This approach has numerous practical implications for basic research and for applications in regenerative medicine and synthetic bioengineering.

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Scaling of pattern formations and morphogen gradients

Cited by 32 publications

References 94 publications

pH sensing by lipids in membranes: The fundamentals of pH-driven migration, polarization and deformations of lipid bilayer assemblies

pH sensing by lipids in membranes: The fundamentals of pH-driven migration, polarization and deformations of lipid bilayer assemblies

Feedback control of morphogen gradient scale

The Biophysics of Regenerative Repair Suggests New Perspectives on Biological Causation

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