Understanding Networks of Computing Chemical Droplet Neurons Based on Information Flow.

Journal: International journal of neural systems
PMID:

Abstract

In this paper, we present general methods that can be used to explore the information processing potential of a medium composed of oscillating (self-exciting) droplets. Networks of Belousov-Zhabotinsky (BZ) droplets seem especially interesting as chemical reaction-diffusion computers because their time evolution is qualitatively similar to neural network activity. Moreover, such networks can be self-generated in microfluidic reactors. However, it is hard to track and to understand the function performed by a medium composed of droplets due to its complex dynamics. Corresponding to recurrent neural networks, the flow of excitations in a network of droplets is not limited to a single direction and spreads throughout the whole medium. In this work, we analyze the operation performed by droplet systems by monitoring the information flow. This is achieved by measuring mutual information and time delayed mutual information of the discretized time evolution of individual droplets. To link the model with reality, we use experimental results to estimate the parameters of droplet interactions. We exemplarily investigate an evolutionary generated droplet structure that operates as a NOR gate. The presented methods can be applied to networks composed of at least hundreds of droplets.

Authors

  • Gerd Gruenert
    Friedrich Schiller University Jena, Department of Computer Science, Bio Systems Analysis Group, Ernst-Abbe-Platz 2, D-07743 Jena, Germany.
  • Konrad Gizynski
    Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland.
  • Gabi Escuela
    Friedrich Schiller University Jena, Department of Computer Science, Bio Systems Analysis Group, Ernst-Abbe-Platz 2, D-07743 Jena, Germany.
  • Bashar Ibrahim
    Al-Qunfudah Center for Scientific Research (QCSR), Umm Al-Qura University, 1109 Makkah Al-Mukarramah, Kingdom of Saudi Arabia.
  • Jerzy Gorecki
    Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland.
  • Peter Dittrich
    Friedrich Schiller University Jena, Department of Computer Science, Bio Systems Analysis Group, Ernst-Abbe-Platz 2, D-07743 Jena, Germany.