@article{oai:iwate-u.repo.nii.ac.jp:00013955,
 author = {IWASAKI, YUISHI and GOMI, SOHEI},
 issue = {4},
 journal = {Bulletin of Mathematical Biology},
 month = {Jan},
 note = {We present a stochastic formulation for a partial neural circuit of Caenorhabditis el-
egans. This study is concerned with how to reduce the degree of freedom in a large
neural circuit. In the presented formulation, neurons in the whole neural circuit are
divided into two complementary groups. One is the neurons which are mainly associated
with a certain behavior, and the other is the remaining neurons of C. elegans. In
an ordinary study on a partial neural circuit, the in
uence of the latter (the remaining
neurons) on the former (the associated neurons) is completely neglected. In the presented
formulation, however, the in
uence is expressed by a stochastic variable. The
structure of the ensemble for the stochastic variable is appropriately evaluated by the
neural connectivity of C. elegans since the neural connectivity of C. elegans has been
completely determined. In this way, the degree of freedom is eectively reduced. We
apply the presented formulation to determine the synaptic signs in the touch sensitivity
circuit of C. elegans. The synaptic signs are determined to satisfy the locomotory
behaviors in C. elegans. We nd that the in
uence of the remaining neurons on the
touch sensitivity circuit is important to determine the synaptic signs.},
 pages = {727--743},
 title = {Stochastic Formulation for a Partial Neural Circuit of C. elegans},
 volume = {66},
 year = {2004}
}