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Modeling parr-mark pattern formation during the early development of Amago trout
journal contribution
posted on 2023-06-08, 14:02 authored by Chandrasekhar VenkataramanChandrasekhar Venkataraman, Toshio Sekimura, Eamonn A Gaffney, Philip K Maini, Anotida MadzvamuseThis paper studies the formation of the large dark patterns, known as parr marks, that form on the Amago trout as it grows from the early larval stages to adulthood. The Amago trout, known as Oncorhynchus masou ishikawa, exhibits stripes during the early stages of development that in turn evolve (through reorientation and peak insertion) to form zigzag spot patterns as the fish grows to adulthood. By considering a standard representation of the Turing model for biological self-organization via interacting and diffusing morphogens, we illustrate that a diffusively driven instability can generate transient patterns consistent with those experimentally observed during the process of parr-mark formation in the early development of the Amago trout. Surface evolution is modeled through an experimentally driven growth function. Our studies conclude that the surface evolution profile, the surface geometry, and the curvature are key factors that play a pivotal role in reaction-diffusion systems in a study motivated by observations of Amago trout parr-mark pattern formation.
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Publication status
- Published
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- Published version
Journal
Physical Review E (PRE)ISSN
1539-3755Publisher
American Physical SocietyExternal DOI
Issue
4Volume
84Page range
041923 1-13Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2012-12-03First Open Access (FOA) Date
2012-12-03First Compliant Deposit (FCD) Date
2012-12-03Usage metrics
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