Symmetry and Network Topology in Neuronal Circuits: Complicity of Form and Function

I Stewart - International Journal of Bifurcation and Chaos, 2022 - World Scientific
Symmetries in the external world constrain the evolution of neuronal circuits that allow
organisms to sense the environment and act within it. Many small “modular” circuits can be …

[HTML][HTML] Computing Temporal Sequences Associated With Dynamic Patterns on the C. elegans Connectome

VK George, F Puppo, GA Silva - Frontiers in systems neuroscience, 2021 - frontiersin.org
Understanding how the structural connectivity and spatial geometry of a network constrains
the dynamics it is able to support is an active and open area of research. We simulated the …

[HTML][HTML] Mesoscopic Organization Reveals the Constraints Governing Caenorhabditis elegans Nervous System

RK Pan, N Chatterjee, S Sinha - PloS one, 2010 - journals.plos.org
One of the biggest challenges in biology is to understand how activity at the cellular level of
neurons, as a result of their mutual interactions, leads to the observed behavior of an …

[HTML][HTML] Fibration symmetries and cluster synchronization in the Caenorhabditis elegans connectome

B Avila, M Serafino, P Augusto, M Zimmer, HA Makse - Plos one, 2024 - journals.plos.org
Capturing how the Caenorhabditis elegans connectome structure gives rise to its neuron
functionality remains unclear. It is through fiber symmetries found in its neuronal connectivity …

The role of multistability and transient trajectories in networked dynamical systems: connectomic dynamics of C. elegans and behavioral assays

J Kunert, E Shlizerman, A Walker, JN Kutz - arXiv preprint arXiv …, 2015 - arxiv.org
The neural dynamics of the nematode C. elegans are experimentally low-dimensional and
correspond to discrete behavioral states, where previous modeling work has found neural …

[HTML][HTML] Multistability and Long-Timescale Transients Encoded by Network Structure in a Model of C. elegans Connectome Dynamics

JM Kunert-Graf, E Shlizerman, A Walker… - Frontiers in …, 2017 - frontiersin.org
The neural dynamics of the nematode Caenorhabditis elegans are experimentally low-
dimensional and may be understood as long-timescale transitions between multiple low …

Computational model of a behaviour in c. elegans and a resulting framework for modularizing dynamical neuronal structures

CJ Roehrig - 1998 - open.library.ubc.ca
The work presented in this dissertation grew out of a study of a physiologically based
computational model of the tap withdrawal response in the nematode Caenorhabditis …

[HTML][HTML] Whole animal modeling: piecing together nematode locomotion

N Cohen, JE Denham - Current Opinion in Systems Biology, 2019 - Elsevier
With a reconstructed and extensively characterized neural circuit, Caenorhabditis elegans is
a fascinating model system for the study of neural circuits and behavior. Here, we review the …

Towards blueprints for network architecture, biophysical dynamics and signal transduction

S Coombes, B Doiron, K Josić… - … Transactions of the …, 2006 - royalsocietypublishing.org
We review mathematical aspects of biophysical dynamics, signal transduction and network
architecture that have been used to uncover functionally significant relations between the …

[HTML][HTML] Symmetry group factorization reveals the structure-function relation in the neural connectome of Caenorhabditis elegans

F Morone, HA Makse - Nature communications, 2019 - nature.com
The neural connectome of the nematode Caenorhabditis elegans has been completely
mapped, yet in spite of being one of the smallest connectomes (302 neurons), the design …