https://doi.org/10.1140/epjs/s11734-024-01361-6
Regular Article
Quantification and statistical analysis of spatial structures in a diffusion model of glycolysis
Department of Theoretical and Mathematical Physics, Ural Federal University, Lenina 51, 620000, Ekaterinburg, Russian Federation
Received:
26
August
2024
Accepted:
1
October
2024
Published online:
10
October
2024
The problem of quantification of complex spatial forms of patterns in diffusion systems with two spatial variables is considered. This problem is studied for a spatially extended Higgins model of glycolysis. In the Turing instability zone, this model exhibits spatial structures with complex geometry. For machine identification of these structures, a constructive approach is proposed. This approach uses procedure of binarization and statistical processing of diameters of corresponding graphs which reflect the main features of the pattern geometry. The efficiency of this approach is demonstrated for the diffusion model of glycolysis.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.