Chaos Nameplat
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

You Tube Flickr Twitter UniPHY Group iResearch App Facebook

Chaos / Volume 21 / Issue 4 / FOCUS ISSUE: NONLINEAR AND STOCHASTIC PHYSICS IN BIOLOGY

Chaos 21, 047509 (2011); http://dx.doi.org/10.1063/1.3671326 (12 pages)

Noise-induced precursors of tonic-to-bursting transitions in hypothalamic neurons and in a conductance-based model

Hans A. Braun1, Justus Schwabedal1, Mathias Dewald2, Christian Finke3, Svetlana Postnova4,5, Martin T. Huber6,7, Bastian Wollweber8, Horst Schneider9, Martin C. Hirsch10, Karlheinz Voigt1, Ulrike Feudel3,11, and Frank Moss12

1Institute of Physiology, Neurodynamics Group, University of Marburg, Deutschhaus str. 2, D-35037 Marburg, Germany
2hameln rds, Langes Feld 13, D-31789 Hameln, Germany
3Complex Systems Research Group, ICBM, Carl von Ossietzky University Oldenburg, Carl-von-Ossietzky-Str. 9-11, D-26111 Oldenburg, Germany
4Complex Systems Group, School of Physics, The University of Sydney, Physics Annex, A29, NSW 2006, Australia
5Centre for Integrated Research and Understanding of Sleep, The University of Sydney, Glebe Point Rd, 431, NSW 2037, Australia
6Klinik für Psychiatrie, Psychotherapie und Psychosomatik, Elbe Klinikum Stade, Bremervörder Str. 111, D-21682 Stade, Germany
7Department of Psychiatry and Psychotherapy, University of Marburg, Marburg 35032, Germany
8Max Planck Institute of Psychiatry, Kraepelinstr. 2-10, D-80804 Munich, Germany
9Novotec Medical GmbH, Durlacher Str. 35, D-75172 Pforzheim, Germany
10Parmenides Foundation for the Study of Thinking, Kirchplatz 1, D-82049 Munich, Germany
11Research Center of Neurosensorics, Carl von Ossietzky University Oldenburg, Carl-von-Ossietzky-Str. 9-11, D-26111 Oldenburg, Germany
12Center for Neurodynamics, University of Missouri St. Louis, One University Boulevard, St. Louis, Missouri 63121-4400, USA

View MapView Map

(Received 16 September 2011; accepted 28 November 2011; published online 29 December 2011)

The dynamics of neurons is characterized by a variety of different spiking patterns in response to external stimuli. One of the most important transitions in neuronal response patterns is the transition from tonic firing to burst discharges, i.e., when the neuronal activity changes from single spikes to the grouping of spikes. An increased number of interspike-interval sequences of specific temporal correlations was detected in anticipation of temperature induced tonic-to-bursting transitions in both, experimental impulse recordings from hypothalamic brain slices and numerical simulations of a stochastic model. Analysis of the modelling data elucidates that the appearance of such patterns can be related to particular system dynamics in the vicinity of the period-doubling bifurcation. It leads to a nonlinear response on de- and hyperpolarizing perturbations introduced by noise. This explains why such particular patterns can be found as reliable precursors of the neurons’ transition to burst discharges.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. METHODS
    1. Experimental studies
    2. Computer simulations
    3. Data analysis
  3. RESULTS
    1. Impulse patterns and encounters in experimental spike recordings from hypothalamic neurons
    2. Impulse patterns and encounters in a computer model of neuronal thermosensitivity
    3. Precursors of tonic-to-bursting bifurcations: What are the underlying dynamics?
  4. DISCUSSION

RELATED DATABASES

To view database links for this article, you need to log in.

KEYWORDS and PACS

Keywords

bioelectric potentials, brain models, neurophysiology

PACS

  • 87.19.lb

    Action potential propagation and axons

  • 87.19.ld

    Electrodynamics in the nervous system

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3671326

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    Braun, W., Eckhardt, B., Braun, H. A., and Huber, M., “Phase-space structure of a thermoreceptor,” Phys. Rev. E 62, 6352 (2000).

    Dolan, K., Witt, A., Spano, M. L., Neiman, A., and Moss, F., “Surrogates for finding unstable periodic orbits in noisy data sets,” Phys. Rev. E 59, 5235 (1999).

    Feudel, U., Neiman, A., Pei, X., Wojtenek, W., Braun, H., Huber, M., and Moss, F., “Homoclinic bifurcation in a Hodgkin-Huxley model of thermally sensitive neurons,” Chaos 10, 231 (2000)CHAOEH000010000001000231000001.

    Finke, C., Freund, J. A., Rosa, E., Jr., Braun, H. A., and Feudel, U., “On the role of subthreshold currents in the Huber-Braun cold receptor model,” Chaos 20, 045107 (2010)CHAOEH000020000004045107000001.

    Gilmore, R., Pei, X., and Moss, F., “Topological analysis of chaos in neural spike train bursts,” Chaos 9, 812 (1999)CHAOEH000009000003000812000001.

    Omberg, L., Dolan, K., Neiman, A., and Moss, F., “Detecting the onset of bifurcations and their precursors from noisy data,” Phys. Rev. E 61, 4848 (2000).

    Pei, X., Dolan, K., Moss, F., and Lai, Y. C., “Counting unstable periodic orbits in noisy chaotic systems: A scaling relation connecting experiment with theory,” Chaos 8, 853 (1998)CHAOEH000008000004000853000001.

    Pierson, D. and Moss, F., “Detecting periodic unstable points in noisy chaotic and limit cycle attractors with applications to biology,” Phys. Rev. Lett. 75, 2124 (1995).

    Sainz-Trapaga, M., Masoller, C., Braun, H. A., and Huber, M. T., “Influence of time-delayed feedback in the firing pattern of thermally sensitive neurons,” Phys. Rev. E 70, 031904-1 (2004).

    Yoshioka, M., “Chaos synchronization in gap-junction coupled neurons,” Phys. Rev. E 71, 065203(R) (2005).

    Zhou, C. and Kurths, J., “Noise-induced synchronization and coherence resonance of a Hodgkin-Huxley model of thermally sensitive neurons,” Chaos 13, 401 (2003)CHAOEH000013000001000401000001.


Figures (8) Tables (1)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Noise-induced precursors of tonic-to-bursting transitions in hypothalamic neurons and in a conductance-based model
  2. Sensory coding in oscillatory electroreceptors of paddlefish
  3. Eikonal-based initiation of fibrillatory activity in thin-walled cardiac propagation models
  4. Modeling of relay helix functional dynamics and feasibility of experimental verification by neutron scattering
  5. Four-dimensional structural dynamics of sheared collagen networks
Go to AIP Home
Copyright © American Institute of Physics
close