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Following a recently conducted electrophysiological survey on different C. elegans neurons, this paper aims at modeling the three non-spiking RIM, AIY and AFD neurons (arbitrarily named with three upper case letters by convention). To date, they represent the three possible forms of non-spiking neuronal responses of the C. elegans. To achieve this objective, we propose a conductance-based neuron model adapted to the electrophysiological features of each neuron. These features are based on current biological research and a series of in-silico experiments which use differential evolution to fit the model to experimental data. From the obtained results, we formulate a series of biological hypotheses regarding currents involved in the neuron dynamics. These models reproduce experimental data with a high degree of accuracy while being biologically consistent with state-of-the-art research. <\/jats:p>","DOI":"10.1142\/s012906572050063x","type":"journal-article","created":{"date-parts":[[2020,8,14]],"date-time":"2020-08-14T13:56:24Z","timestamp":1597413384000},"page":"2050063","source":"Crossref","is-referenced-by-count":16,"title":["On the Modeling of the Three Types of Non-spiking Neurons of the Caenorhabditis elegans"],"prefix":"10.1142","volume":"31","author":[{"given":"Lo\u00efs","family":"Naudin","sequence":"first","affiliation":[{"name":"Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, Le Havre 76600, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nathalie","family":"Corson","sequence":"additional","affiliation":[{"name":"Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, Le Havre 76600, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. 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