Development of Collagen in the Frog Embryo

Edds, Mac V.

doi:10.1073/pnas.44.4.296

Cited by 13 publications

(2 citation statements)

References 19 publications

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“…We will use the midpoint of this range, so is M for adult tissues. The collagen content of frog embryos and larvae ranges from M to M (Edds Jr 1958 ). We will use the midpoint of this range, M.…”

Section: Development Of the Mathematical Modelmentioning

confidence: 99%

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A Mathematical Model of Lymphangiogenesis in a Zebrafish Embryo

Wertheim

Roose

2017

Bull Math Biol

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The lymphatic system of a vertebrate is important in health and diseases. We propose a novel mathematical model to elucidate the lymphangiogenic processes in zebrafish embryos. Specifically, we are interested in the period when lymphatic endothelial cells (LECs) exit the posterior cardinal vein and migrate to the horizontal myoseptum of a zebrafish embryo. We wonder whether vascular endothelial growth factor C (VEGFC) is a morphogen and a chemotactic factor for these LECs. The model considers the interstitial flow driving convection, the reactive transport of VEGFC, and the changing dynamics of the extracellular matrix in the embryo. Simulations of the model illustrate that VEGFC behaves very differently in diffusion and convection-dominant scenarios. In the former case, it must bind to the matrix to establish a functional morphogen gradient. In the latter case, the opposite is true and the pressure field is the key determinant of what VEGFC may do to the LECs. Degradation of collagen I, a matrix component, by matrix metallopeptidase 2 controls the spatiotemporal dynamics of VEGFC. It controls whether diffusion or convection is dominant in the embryo; it can create channels of abundant VEGFC and scarce collagen I to facilitate lymphangiogenesis; when collagen I is insufficient, VEGFC cannot influence the LECs at all. We predict that VEGFC is a morphogen for the migrating LECs, but it is not a chemotactic factor for them.

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Section: Development Of the Mathematical Modelmentioning

confidence: 99%

“…The difference is 0.001%. The biologically relevant range of is from 0.01 to 1 (Edds Jr 1958 ; Levick 1987 ; Karagiannis and Popel 2006 ). We can safely assume that a maximum time step of 0.02 is appropriate.…”

Section: Numerical Experimentsmentioning

confidence: 99%

A Mathematical Model of Lymphangiogenesis in a Zebrafish Embryo

Wertheim

Roose

2017

Bull Math Biol

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Collagen deposition on a preformed grid

Humphreys

Porter

1976

Journal of Morphology

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Appearance of collagen fibrils in the cuticle was seen by electron microscopy to be preceded by formation of a finely filamentous matrix material. At first, the fine filaments of the matrix are unorganized. However, signs of orthogonal ordering soon appear in the most superficial portion of the cuticle, and subsequently appear more basally and closer to the underlying epidermis. Meanwhile, fibrils of different staining properties and identifiable as collagen begin to be deposited in the superficial portion of the cuticle, the same region which first showed organized fine filaments. Then, like the fine filaments before them, the collagen fibrils polymerize more basally. Collagen appears to polymerize on the preformed skeleton of fine filaments as though the fine filaments caused the collagen to assemble. Neither the polymerization nor ordering of collagen fibrils seems to require direct cellular intervention but occur first in that portion of the cuticle which is furthest away from the underlying epidermis. The fine filaments may be self ordering, extracellular macromolecules which in turn determine the polymerization of collagen fibrils.

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Biochemical Realization of the Morphogenetic Program. Changes in Proteins and Nucleic Acids During Processes of Differentiation and Development

Medvedev¹

1970

Molecular-Genetic Mechanisms of Development

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Development of Collagen in the Frog Embryo

Cited by 13 publications

References 19 publications

A Mathematical Model of Lymphangiogenesis in a Zebrafish Embryo

A Mathematical Model of Lymphangiogenesis in a Zebrafish Embryo

Collagen deposition on a preformed grid

Biochemical Realization of the Morphogenetic Program. Changes in Proteins and Nucleic Acids During Processes of Differentiation and Development

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