On the role of subthreshold currents in the Huber-Braun cold receptor model

Chaos

Volumn 20, Issue 4, 2010, Pages

  Finke, Christian ^a   Freund, Jan A ^a   Rosa, Epaminondas ^b   Braun, Hans A ^c   Feudel, Ulrike ^a  

^a UNIVERSITY OF OLDENBURG   (Germany)

^b ILLINOIS STATE UNIVERSITY   (United States)

^c PHILIPPS UNIVERSITY MARBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CELL SURFACE RECEPTOR;

ACTION POTENTIAL; ANIMAL; ARTICLE; BIOLOGICAL MODEL; CELL MEMBRANE; CHANNEL GATING; COLD; METABOLISM; NONLINEAR SYSTEM; PHYSIOLOGY; TIME;

ACTION POTENTIALS; ANIMALS; CELL MEMBRANE; COLD TEMPERATURE; ION CHANNEL GATING; MODELS, NEUROLOGICAL; NONLINEAR DYNAMICS; RECEPTORS, CELL SURFACE; TIME FACTORS;

EID: 78650690829     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3527989     Document Type: Article

References (38)

1. Schwalger T. Schimansky-Geier L. Interspike interval statistics of a leaky integrate-and-fire neuron driven by Gaussian noise with large correlation times. Phys. Rev. E 2008, 77:031914. PLEEE8, 1063-651X, 10.1103/PhysRevE.77.031914.
2. Braun H.A. Huber M.T. Anthes N. Voigt K. Neiman A. Pei X. Moss F. Noise-induced impulse pattern modifications at different dynamical period-one situations in a computer model of temperature encoding. BioSystems 2001, 62:99-112. BSYMBO, 0303-2647, 10.1016/S0303-2647(01)00140-X.
3. Lindner B. Schimansky-Geier L. Analytical approach to the stochastic FitzHugh-Nagumo system and coherence resonance. Phys. Rev. E 1999, 60:7270-7276. PLEEE8, 1063-651X, 10.1103/PhysRevE.60.7270.
4. Hodgkin A.L. Huxley A.F. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. (Paris) 1952, 117:500-544. JHYSEM, 0021-7948.
5. Abbott L.F. Lapicques introduction of the integrate-and-fire model neuron (1907). Brain Res. Bull. 1999, 50:303. BRBUDU, 0361-9230, 10.1016/S0361-9230(99)00161-6.
6. Izhikevich E.M. Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting 2007, (MIT Press, Cambridge, MA).
7. Llinas R. Yarom Y. Oscillatory properties of guinea-pig inferior olivary neurones and their pharmacological modulation: An in vitro study. J. Physiol. (Paris) 1986, 376:163-182. JHYSEM, 0021-7948.
8. Alonso A. Llinas R. Subthreshold Na+-dependent theta-like rhythmicity in entorhinal cortex layer II stellate cells. Nature (London) 1989, 342:175-177. NATUAS, 0028-0836, 10.1038/342175a0.
9. Agrawal N. Hamam B.N. Magistretti J. Alonso A. Ragsdale D.S. Persistent sodium channel activity mediates subthreshold membrane potential oscillations and low-threshold spikes in rat entorhinal cortex layer V neurons. J. Gen. Physiol. 1999, 114:491-509. JGPLAD, 0022-1295, 10.1085/jgp.114.4.491.
10. Manis P.B. Molitor S.C. Wu H. Subthreshold oscillations generated by TTX-sensitive sodium currents in dorsal cochlear nucleus pyramidal cells. Exp. Brain Res. 2003, 153:443-451. EXBRAP, 0014-4819, 10.1007/s00221-003-1639-6.
11. Do M.T. H. Bean B.P. Subthreshold sodium currents and pacemaking of subthalamic neurons: Modulation by slow inactivation. Neuron 2003, 39:109. NERNET, 0896-6273, 10.1016/S0896-6273(03)00360-X.
12. Fransen E. Alonso A.A. Dickson C.T. Magistretti J. Hasselmo M.E. Ionic mechanisms in the generation of subthreshold oscillations and action potential clustering in entorhinal layer ii stellate neurons. Hippocampus 2004, 14:368. HIPPEL, 1050-9631, 10.1002/hipo.10198.
13. Huangfu D. Guyenet P.G. Autoactivity of A5 neurons: role of subthreshold oscillations and persistent Na+ current. Am. J. Physiol. Heart Circ. Physiol. 1997, 273:2280-2289. ZZZZZZ, 0363-6135.
14. White J.A. Budde T. Kay A.R. A bifurcation analysis neuronal subthreshold oscillations. Biophys. J. 1995, 69:1203-1217. BIOJAU, 0006-3495, 10.1016/S0006-3495(95)79995-7.
15. Braun H.A. Schäfer K. Voigt K. Huber M.T. Nova Acta Leopoldina NF 88 332: Nonlinear Dynamics and the Spatiotemporal Principles in Biology 2004, 293-318. and (Wissenschaftliche Verlagsgesellschaft, Stuttgart), pp.
16. Braun H.A. Voigt K. Huber M.T. Oscillations, resonances and noise: Basis of flexible neuronal pattern generation. BioSystems 2003, 71:39-50. BSYMBO, 0303-2647, 10.1016/S0303-2647(03)00108-4.
17. Finke C. Postnova S. Vollmer J. Braun H.A. Propagation effects of current and conductance noise in a model neuron with subthreshold oscillations. Math. Biosci. 2008, 214:109-121. MABIAR, 0025-5564, 10.1016/j.mbs.2008.03.007.
18. Finke C. Postnova S. Rosa E. Freund J.A. Huber M.T. Voigt K. Moss F. Braun H.A. Feudel U. Noisy activation kinetics induces bursting in the Huber-Braun neuron model. Eur. Phys. J. Spec. Top. 2010, 187:199-203. ZZZZZZ, 1951-6355, 10.1140/epjst/e2010-01284-1.
19. Postnova S. Voigt K. Braun H.A. Neural synchronization at tonic-to-bursting transitions. J. Biol. Phys. 2007, 33:129-143. JBPHBZ, 0092-0606, 10.1007/s10867-007-9048-x.
20. Braun H.A. Dewald M. Schäfer K. Voigt K. Pei X. Moss F. Low dimensional dynamics in sensory biology II: Facial cold receptors of rats. J. Comput. Neurosci. 1999, 7:17-32. JCNEFR, 0929-5313, 10.1023/A:1008911409355.
21. McCormick D.A. Feeser H.R. Functional implications of burst firing and single spike activity in lateral geniculate relay neurons. Neuroscience 1990, 39:103-113. NRSCDN, 0306-4522, 10.1016/0306-4522(90)90225-S.
22. Dewald M. Anthes N. Vedder H. Voigt K. Braun H.A. Phasic bursting activity of paraventricular neurons is modulated by temperature and angiotensin II. J. Therm. Biol. 1999, 24:339-345. 10.1016/S0306-4565(99)00045-5, 0306-4565.
23. Gutfreund Y. Yarom Y. Segev I. Subthreshold oscillations and resonant frequencies in guinea-pig cortical neurons: Physiology and modelling. J. Physiol. (Paris) 1995, 483:621-640. JHYSEM, 0021-7948.
24. Schäfer K. Braun H.A. Kürten L. Analysis of cold and warm receptor activity in vampire bats and mice. Pflugers Arch. 1988, 412:188-194. 0031-6768.
25. Braun H.A. Wissing H. Schäfer K. Hirsch M.C. Oscillation and noise determine signal transduction in shark multimodal sensory cells. Nature (London) 1994, 367:270-273. NATUAS, 0028-0836, 10.1038/367270a0.
26. Hensel H. Andres K.H. von Düring M. Structure and function of cold receptors. Pflugers Arch. 1974, 352:1-10. 10.1007/BF01061945, 0031-6768.
27. Gilmore R. Pei X. Moss F. Topological analysis of chaos in neural spike train bursts. Chaos 1999, 9:812-817. CHAOEH, 1054-1500, 10.1063/1.166455.
28. Braun W. Eckhardt B. Braun H.A. Huber M.T. Phase space structure of a thermoreceptor. Phys. Rev. E 2000, 62:6352-6360. PLEEE8, 1063-651X, 10.1103/PhysRevE.62.6352.
29. Feudel U. Neiman A. Pei X. Wojtenek W. Braun H.A. Huber M.T. Moss F. Homoclinic bifurcations in a Hodgkin-Huxley model of thermally sensitive neurons. Chaos 2000, 10:231-239. CHAOEH, 1054-1500, 10.1063/1.166488.
30. Sosnovtseva O.V. Postnova S. Mosekilde E. Braun H.A. Inter-pattern transition in a bursting cell. Fluct. Noise Lett. 2004, 4:L521-L533. ZZZZZZ, 0219-4775, 10.1142/S0219477504002142.
31. Bahar S. Burst-enhanced synchronization in an array of noisy coupled neurons. Fluct. Noise Lett. 2004, 4:L87-L96. ZZZZZZ, 0219-4775, 10.1142/S0219477504001690.
32. Postnova S. Wollweber B. Voigt K. Braun H.A. Impulse-pattern in bidirectionally coupled model neurons of different dynamics. BioSystems 2007, 89:135-142. BSYMBO, 0303-2647, 10.1016/j.biosystems.2006.06.011.
33. Zhou C. Kurths J. Noise-induced synchronization and coherence resonance of a Hodgkin-Huxley model of thermally sensitive neurons. Chaos 2003, 13:401-409. CHAOEH, 1054-1500, 10.1063/1.1493096.
34. Braun H.A. Bade H. Hensel H. Static and dynamic discharge patterns of bursting cold fibers related to hypothetical receptor mechanisms. Pflugers Arch. 1980, 386:1-9. 10.1007/BF00584180, 0031-6768.
35. Hille B. Ionic Channels of Excitable Membranes 2001, (Sinauer Associates, Sunderland, MA).
36. AUTO, software for continuation and bifurcation problems in ordinary differential equations.
37. MATCONT, continuation software in MATLAB.
38. Yuri A. Kuznetsov, Elements of Applied Bifurcation Theory 1998, (Springer, New York).