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Morphogene adsorption as a Turing instability regulator: Theoretical analysis and possible applications in multicellular embryonic systems

Nesterenko, Alexey M ; Kuznetsov, Maxim B ; Korotkova, Daria D ; Zaraisky, Andrey G Chiam, Keng-Hwee

PloS one, 2017-02, Vol.12 (2), p.e0171212-e0171212 [Periódico revisado por pares]

United States: Public Library of Science

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Título:
Morphogene adsorption as a Turing instability regulator: Theoretical analysis and possible applications in multicellular embryonic systems
Autor: Nesterenko, Alexey M ; Kuznetsov, Maxim B ; Korotkova, Daria D ; Zaraisky, Andrey G
Chiam, Keng-Hwee
Assuntos: Adsorption ; Algorithms ; Animals ; Binding sites ; Biochemistry ; Biological effects ; Biological models (mathematics) ; Biology and Life Sciences ; Chemistry ; Computer and Information Sciences ; Computer Simulation ; Diffusion ; Diffusion equations ; Diffusion rate ; Embryo, Nonmammalian - metabolism ; Embryogenesis ; Embryonic Development ; Embryonic growth stage ; Evolution ; Extracellular matrix ; Genes ; Instability ; Mathematical models ; Matrix methods ; Models, Biological ; Models, Theoretical ; Partial differential equations ; Physical Sciences ; Proteins ; Reaction-diffusion equations ; Research and Analysis Methods ; Stability ; Stability analysis ; Theoretical analysis ; Tissues ; Turing machine (Mathematical model) ; Turing machines ; Xenopus
É parte de: PloS one, 2017-02, Vol.12 (2), p.e0171212-e0171212
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Competing Interests: The authors have declared that no competing interests exist.
Conceptualization: DDK AGZ.Funding acquisition: AGZ.Investigation: AMN DDK.Methodology: AMN MBK.Project administration: AGZ.Resources: AGZ AMN.Software: AMN MBK.Supervision: AMN AGZ.Validation: AMN MBK.Visualization: AMN MBK DDK.Writing – original draft: AMN AGZ.Writing – review & editing: AMN AGZ DDK.
Descrição: The Turing instability in the reaction-diffusion system is a widely recognized mechanism of the morphogen gradient self-organization during the embryonic development. One of the essential conditions for such self-organization is sharp difference in the diffusion rates of the reacting substances (morphogens). In classical models this condition is satisfied only for significantly different values of diffusion coefficients which cannot hold for morphogens of similar molecular size. One of the most realistic explanations of the difference in diffusion rate is the difference between adsorption of morphogens to the extracellular matrix (ECM). Basing on this assumption we develop a novel mathematical model and demonstrate its effectiveness in describing several well-known examples of biological patterning. Our model consisting of three reaction-diffusion equations has the Turing-type instability and includes two elements with equal diffusivity and immobile binding sites as the third reaction substance. The model is an extension of the classical Gierer-Meinhardt two-components model and can be reduced to it under certain conditions. Incorporation of ECM in the model system allows us to validate the model for available experimental parameters. According to our model introduction of binding sites gradient, which is frequently observed in embryonic tissues, allows one to generate more types of different spatial patterns than can be obtained with two-components models. Thus, besides providing an essential condition for the Turing instability for the system of morphogen with close values of the diffusion coefficients, the morphogen adsorption on ECM may be important as a factor that increases the variability of self-organizing structures.
Editor: United States: Public Library of Science
Idioma: Inglês

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Morphogene adsorption as a Turing instability regulator: Theoretical analysis and possible applications in multicellular embryonic systems

Nesterenko, Alexey M ; Kuznetsov, Maxim B ; Korotkova, Daria D ; Zaraisky, Andrey G Chiam, Keng-Hwee

United States: Public Library of Science

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