Caenorhabditis elegans and the network control framework - FAQs

TL;DR

This paper reviews the application of network control theory to C. elegans, highlighting its potential to elucidate neural control mechanisms and providing computational tools for further exploration.

Contribution

It offers a comprehensive FAQ-style review of network control in C. elegans, including theoretical, computational, experimental aspects, and provides Python code for practical analysis.

Findings

Network control offers insights into neural system stability.

The review discusses current capabilities and limitations.

Provides computational tools for organism-specific control analysis.

Abstract

Control is essential to the functioning of any neural system. Indeed, under healthy conditions the brain must be able to continuously maintain a tight functional control between the system's inputs and outputs. One may therefore hypothesise that the brain's wiring is predetermined by the need to maintain control across multiple scales, maintaining the stability of key internal variables, and producing behaviour in response to environmental cues. Recent advances in network control have offered a powerful mathematical framework to explore the structure-function relationship in complex biological, social, and technological networks, and are beginning to yield important and precise insights for neuronal systems. The network control paradigm promises a predictive, quantitative framework to unite the distinct datasets necessary to fully describe a nervous system, and provide mechanistic explanations for the observed structure and function relationships. Here, we provide a thorough review of the network control framework as applied to C. elegans, in the style of a FAQ. We present the theoretical, computational, and experimental aspects of network control, and discuss its current capabilities and limitations, together with the next likely advances and improvements. We further present the Python code to enable exploration of control principles in a manner specific to this prototypical organism.