Supplementary materials for the publication:

Modeling the Synchronization of the Movement of Bacillaria paxillifer by a Kuramoto Model with Time Delay

Author: Thomas Harbich

Chapter 8 in the book:

The Mathematical Biology of Diatoms (Diatoms: Biology and  Applications) Janice L. Pappas (Editor), Richard Gordon (Series Editor), Joseph Seckbach (Series Editor), Wiley-Scrivener; Wiley-Scrivener;  First published: 21 April 2023

DOI: https://doi.org/10.1002/9781119751939.ch8


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: