Spector, Reemon;
Harrington, Heather A;
Gaffney, Eamonn A;
(2025)
Persistent Homology Classifies Parameter Dependence of Patterns in Turing Systems.
Bulletin of Mathematical Biology
, 88
(1)
, Article 10. 10.1007/s11538-025-01552-9.
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Abstract
This paper illustrates a further application of topological data analysis to the study of self-organising models for chemical and biological systems. In particular, we investigate whether topological summaries can capture the parameter dependence of pattern topology in reaction diffusion systems, by examining the homology of sublevel sets of solutions to Turing reaction diffusion systems for a range of parameters. We demonstrate that a topological clustering algorithm can reveal how pattern topology depends on parameters, using the chlorite–iodide–malonic acid system, and the prototypical Schnakenberg system for illustration. In addition, we discuss the prospective application of such clustering, for instance in refining priors for detailed parameter estimation for self-organising systems.
| Type: | Article |
|---|---|
| Title: | Persistent Homology Classifies Parameter Dependence of Patterns in Turing Systems |
| DOI: | 10.1007/s11538-025-01552-9 |
| Publisher version: | https://doi.org/10.1007/s11538-025-01552-9 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Life Sciences & Biomedicine, Biology, Mathematical & Computational Biology, Life Sciences & Biomedicine - Other Topics, POSITIONAL INFORMATION, BOUNDARY, MODEL |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences > Div of Infection and Immunity |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10219681 |
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