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Neural Network of C. elegans is a Small-World Network

Neural Network of C. elegans is a Small-World Network. Masroor Hossain Wednesday, February 29 th , 2012 Introduction to Complex Systems. Background on C. elegans. It’s a transparent nematode (roundworm).

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Neural Network of C. elegans is a Small-World Network

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  1. Neural Network of C. elegansis a Small-World Network MasroorHossain Wednesday, February 29th, 2012 Introduction to Complex Systems

  2. Background on C. elegans • It’s a transparent nematode (roundworm). • The hermaphrodite version has a simple nervous system comprising about 302 neurons. • It’s neural network is completely mapped. • The pattern of connectivity portrays small-world network characteristics.

  3. Recall • The characteristic path length L is defined as the number of edges in the shortest path between two vertices, averaged over all pairs of vertices. • The clustering coefficient C measures the degree to which nodes in a graph tend to cluster together - how close neighbors are to being a clique.

  4. Procedure for Measuring C – from class

  5. Random Rewiring Procedure • p = 0 represents regularity (no edge) • p = 1 represents disorder (clique) • n = 20 and k = 4

  6. Random Rewiring Procedure • For C. elegans, an edge/link joins two neurons if they are connected by a synapse or gap junction. • There are n = 282 nodes and k = 14 edges.

  7. NetLogo Models

  8. Cumulative Distribution of Outgoing and Incoming Neural Connections

  9. Questions?

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