Supplementary material for the publication:
Modeling the Synchronization of the Movement of Bacillaria paxillifer by a Kuramoto Model with Time Delay
Chapter 8 in the book* 'The Mathematical Biology of Diatoms’
Supplement to '8.5.2 Analyses and Approximations', p. 212
Author: Thomas Harbich
Simulation of a chain in which all diatoms have the same natural frequency
The following two videos show the results of a simulation assuming identical natural frequencies. At the beginning, phases and positions are randomly distributed, so that the transient oscillation can be observed.
The first video shows the chain, assuming that one diatom adheres to the substrate:.
In the second video the development of the related phases over time can be seen:
* The Mathematical Biology of Diatoms [DMTH, Volume in the series: Diatoms: Biology & Applications, series editors: Richard Gordon & Joseph Seckbach]. J.L. Pappas and R. Gordon, (eds.) Wiley-Scrivener, Beverly, MA, USA: in preparation.