Skip to main content

Quantitative Modeling of Neuronal Dynamics in C. elegans

  • Conference paper

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 6443)

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.

Keywords

  • C. elegans
  • membrane potential
  • intracellular calcium concentration
  • fluorescence intensity
  • chemotaxis circuit

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-642-17537-4_3
  • Chapter length: 8 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   119.00
Price excludes VAT (USA)
  • ISBN: 978-3-642-17537-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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)

    CrossRef  Google Scholar 

  2. 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)

    CrossRef  Google Scholar 

  3. Sakata, K., Shingai, R.: Neural network model to generate head swing in locomotion of Caenorhabditis elegans. Network: Comput. Neural Syst. 15, 199–216 (2004)

    CrossRef  Google Scholar 

  4. 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)

    CrossRef  Google Scholar 

  5. Iino, Y., Yoshida, K.: Parallel use of two behavioral mechanisms for chemotaxis in Caenorhabditis elegans. J. Neurosci. 29, 5370–5380 (2009)

    CrossRef  Google Scholar 

  6. 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)

    Google Scholar 

  7. 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)

    CrossRef  Google Scholar 

  8. 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)

    CrossRef  Google Scholar 

  9. 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)

    CrossRef  Google Scholar 

  10. 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)

    CrossRef  Google Scholar 

  11. Iwasaki, Y., Gomi, S.: Stochastic formulation for a partial neural circuit of C. elegans. Bull. Math. Biol. 66, 727–743 (2004)

    MathSciNet  CrossRef  MATH  Google Scholar 

  12. 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)

    CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-17537-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17536-7

  • Online ISBN: 978-3-642-17537-4

  • eBook Packages: Computer ScienceComputer Science (R0)