Abstract
We present a mathematical model to quantitatively describe the neuronal dynamics in Caenorhabditis elegans. Since calcium imaging is a popular technique to visualize the neuronal activity in C. elegans, the model includes the variable of the fluorescence intensity in addition to the membrane potential and the intracellular calcium concentration. The fluorescence intensity is a quantity which is comparable with the experimental data. The parameters in the model are determined to reproduce the neurophysiological experimental data. Our model exhibits good agreement with the data. We apply the model to a neural circuit for chemotaxis and find that the neuronal activity measured by the fluorescence intensity shows quantitatively different behavior from that measured by the membrane potential in some neurons. The difference is discussed from the viewpoint of neuronal mechanisms.
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White, J.G., Soughgate, E., Thomson, J.N., Brenner, S.: The structure of the nervous system of the nematodeCaenorhabditis elegans. Phil. Trans. R. Soc. Lond. Biol. 314, 1–340 (1986)
Nagai, T., Yamada, S., Tominaga, T., Ichikawa, M., Miyawaki, A.: Expanded dynamic range of fluorescent indicators for Ca2 +  by circularly permuted yellow fluorescent proteins. Proc. Natl. Acad. Sci. USA 101, 10554–10559 (2004)
Sakata, K., Shingai, R.: Neural network model to generate head swing in locomotion of Caenorhabditis elegans. Network: Comput. Neural Syst. 15, 199–216 (2004)
Goodman, M.B., Hall, D.H., Avery, L., Lockery, S.R.: Active currents regulate sensitivity and dynamic range in C. elegans neurons. Neuron 20, 763–772 (1998)
Iino, Y., Yoshida, K.: Parallel use of two behavioral mechanisms for chemotaxis in Caenorhabditis elegans. J. Neurosci. 29, 5370–5380 (2009)
Wicks, S.R., Roehrig, C.J., Rankin, C.H.: A dynamic network simulation of the nematoda tap withdrawal circuit: predictions concerning synaptic function using behavioral criteria. J. Neurosci. 16, 4017–4031 (1996)
Aoyagi, T., Kang, Y., Terada, N., Kaneko, T., Fukai, T.: The role of Ca2 + -dependent cationic current in generating gamma frequency rhythmic bursts: modeling study. Neurosci. 115, 1127–1138 (2002)
Jospin, M., Mariol, M.-C., Ségqalat, L., Allard, B.: Characterization of K +  currents using an in situ patch clamp technique in body wall muscle cells from Caenorhabditis elegans. J. Physiol. 544, 373–384 (2002)
Jospin, M., Jacquemond, V., Mariol, M.-C., Ségqalat, L., Allard, B.: The L-type voltage-dependent Ca2 +  channel EGL-19 controls body wall muscle function in Caenorhabditis elegans. J. Cell Biol. 159, 337–347 (2002)
Suzuki, H., Thiele, T.R., Faumont, S., Ezcurra, M., Lockery, S.R., Schafer, W.R.: Functional asymmetry in Caenorhabditis elegans taste neurons and its computational role in chemotaxis. Nature 454, 114–117 (2008)
Iwasaki, Y., Gomi, S.: Stochastic formulation for a partial neural circuit of C. elegans. Bull. Math. Biol. 66, 727–743 (2004)
Mellem, J.E., Brockie, P.J., Madsen, D.M., Maricq, A.V.: Action potentials contribute to neuronal signaling in C. elegans. Nat. Neurosci. 11, 865–867 (2008)
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Kuramochi, M., Iwasaki, Y. (2010). Quantitative Modeling of Neuronal Dynamics in C. elegans . In: Wong, K.W., Mendis, B.S.U., Bouzerdoum, A. (eds) Neural Information Processing. Theory and Algorithms. ICONIP 2010. Lecture Notes in Computer Science, vol 6443. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17537-4_3
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DOI: https://doi.org/10.1007/978-3-642-17537-4_3
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