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 '8.4.3 Coupled Oscillators', p. 206

Author: Thomas Harbich

 

Movement of a Bacillaria colony with diatoms in advanced division states

In the colony shown in the video below (5x time lapse), two diatoms are in a recognizable division phase. In the second diatom from the top (referring to the beginning of the recording), the formation of valves is visible as a white line. In the fifth diatom from the top (referring to the beginning of the recording), the formation of daughter cells is well advanced, but the diatoms still adhere together. These diatoms separate the synchronous motion into independent sections. Synchronization can only be observed below the fifth diatom.

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* 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.