Can VEGFC form turing patterns in the zebrafish embryo?
Can VEGFC form turing patterns in the zebrafish embryo?
This paper is concerned with a late stage of lymphangiogenesis in the trunk of the zebrafish embryo. At 48 hours post-fertilisation (HPF), a pool of parachordal lymphangioblasts (PLs) lies in the horizontal myoseptum. Between 48 and 168 HPF, the PLs spread from the horizontal myoseptum to form the thoracic duct, dorsal longitudinal lymphatic vessel, and parachordal lymphatic vessel. This paper deals with the potential of vascular endothelial growth factor C (VEGFC) to guide the differentiation of PLs into the mature lymphatic endothelial cells that form the vessels. We built a mathematical model to describe the biochemical interactions between VEGFC, collagen I, and matrix metalloproteinase 2 (MMP2). We also carried out a linear stability analysis of the model and computer simulations of VEGFC patterning. The results suggest that VEGFC can form Turing patterns due to its relations with MMP2 and collagen I, but the zebrafish embryo needs a separate control mechanism to create the right physiological conditions. Furthermore, this control mechanism must ensure that the VEGFC patterns are useful for lymphangiogenesis: stationary, steep gradients, and reasonably fast forming. Generally, the combination of a patterning species, a matrix protein, and a remodelling species is a new patterning mechanism.
Collagen I, Lymphangiogenesis, MMP2, Reaction–diffusion models, Turing patterns, VEGFC, Zebrafish
1201-1237
Wertheim, Kenneth Y.
55039b18-6290-4da7-9399-d678598cc781
Roose, Tiina
3581ab5b-71e1-4897-8d88-59f13f3bccfe
April 2019
Wertheim, Kenneth Y.
55039b18-6290-4da7-9399-d678598cc781
Roose, Tiina
3581ab5b-71e1-4897-8d88-59f13f3bccfe
Wertheim, Kenneth Y. and Roose, Tiina
(2019)
Can VEGFC form turing patterns in the zebrafish embryo?
Bulletin of Mathematical Biology, 81 (4), .
(doi:10.1007/s11538-018-00560-2).
Abstract
This paper is concerned with a late stage of lymphangiogenesis in the trunk of the zebrafish embryo. At 48 hours post-fertilisation (HPF), a pool of parachordal lymphangioblasts (PLs) lies in the horizontal myoseptum. Between 48 and 168 HPF, the PLs spread from the horizontal myoseptum to form the thoracic duct, dorsal longitudinal lymphatic vessel, and parachordal lymphatic vessel. This paper deals with the potential of vascular endothelial growth factor C (VEGFC) to guide the differentiation of PLs into the mature lymphatic endothelial cells that form the vessels. We built a mathematical model to describe the biochemical interactions between VEGFC, collagen I, and matrix metalloproteinase 2 (MMP2). We also carried out a linear stability analysis of the model and computer simulations of VEGFC patterning. The results suggest that VEGFC can form Turing patterns due to its relations with MMP2 and collagen I, but the zebrafish embryo needs a separate control mechanism to create the right physiological conditions. Furthermore, this control mechanism must ensure that the VEGFC patterns are useful for lymphangiogenesis: stationary, steep gradients, and reasonably fast forming. Generally, the combination of a patterning species, a matrix protein, and a remodelling species is a new patterning mechanism.
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Wertheim-Roose2019_Article_CanVEGFCFormTuringPatternsInTh
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Accepted/In Press date: 11 December 2018
e-pub ahead of print date: 3 January 2019
Published date: April 2019
Keywords:
Collagen I, Lymphangiogenesis, MMP2, Reaction–diffusion models, Turing patterns, VEGFC, Zebrafish
Identifiers
Local EPrints ID: 428844
URI: http://eprints.soton.ac.uk/id/eprint/428844
ISSN: 0092-8240
PURE UUID: 9f6d48e4-1633-4e1f-b7e3-13ad80fe2cf4
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Date deposited: 11 Mar 2019 17:30
Last modified: 22 Nov 2021 02:56
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Author:
Kenneth Y. Wertheim
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