Native response of C. elegans encoded in its neuron network

For the physical study of the native responses of Caenorhabditis elegans (C. elegans), probability distribution of random walkers on the neuron graph is studied. Here, the neuron graph is a graph which represents the synaptic connection of neurons of the worm. Connection of a sensory neuron to various motor neurons are represented by an index named accessibility. Accessibilities from 39 sensory neurons to all of motor neurons are computed and the formers are classified into three groups. It is found that this classification coincides with the grouping by native responses caused by those sensory neurons. This coincidence implies the usefulness of the random walker model for the analysis of the neural network. The connectivity represented by the major paths of random walkers is a significant factor to interpret relation between external disturbance and resultant movement in the native response of the worm. This native response of the worm is encoded by the connectivity of vertices in the neuron graph.