A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves.
In this paper, we employ the novel application of a reaction-diffusion model on a growing domain to examine growth patterns of the ligaments of arcoid bivalves (marine molluscs) using realistic growth functions. Solving the equations via a novel use of the finite element method on a moving mesh, we show how a reaction-diffusion model can mimic a number of different ligament growth patterns with modest changes in the parameters. Our results imply the existence of a common mode of ligament pattern formation throughout the Arcoida. Consequently, arcoids that share a particular pattern cannot be assumed, on this basis alone, to share an immediate common ancestry. Strikingly different patterns within the set can easily be generated by the same developmental program. We further show how the model can be used to make quantitatively testable predictions with biological implications.
Madzvamuse
Anotida
A
Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, UK.
Thomas
Roger D K
RD
Maini
Philip K
PK
Wathen
Andrew J
AJ
D000818:Animals; D003198:Computer Simulation; D020342:Finite Element Analysis; D008022:Ligaments / Q000254:growth & development*; D008855:Microscopy, Electron, Scanning; D008954:Models, Biological; D008974:Mollusca / Q000254:growth & development*