Transition of electric activity of neurons induced by chemical and electric autapses

Science China Technological Sciences

Volumn 58, Issue 6, 2015, Pages 1007-1014

  Song, XinLin ^a   Wang, ChunNi ^a   Ma, Jun ^a   Tang, Jun ^b  

^a LANZHOU UNIVERSITY OF TECHNOLOGY   (China)

^b CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

Author keywords

autapse; bursting; neuron; spiking

Indexed keywords

ENGINEERING;

AUTAPSE; BURSTING; COOPERATION AND COMPETITIONS; MEMBRANE POTENTIALS; NEURONAL ACTIVITIES; RESPONSE TO EXTERNAL FORCING; SPIKING; TIME-DELAYED FEEDBACK;

NEURONS;

EID: 84930540779     PISSN: 16747321     EISSN: 18691900     Source Type: Journal    
DOI: 10.1007/s11431-015-5826-z     Document Type: Article

References (60)

1. Hodgkin A L, Huxley A F. A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol, 1952, 117: 500–544
2. Yang Z Q, Lu Q S. Different types of bursting in Chay neuronal model. Sci China Ser G Phys Mech Astron, 2008, 51: 687–698
3. Izhikevich E M. Which model to use for cortical spiking neurons? IEEE Trans Neural Networks, 2004, 15: 1063–1070
4. Hindmarsh J L, Rose R M. A model of the nerve impulse using two first-order differential equations. Nature, 1982, 276: 162–164
5. Bulsara A, Jacobs E W, Zhou T, et al. Stochastic resonance in a single neuron model: Theory and analog simulation. J Theor biol, 1991, 152: 531–555
6. Lindner B, Schimansky-Geier L. Analytical approach to the stochastic FitzHugh-Nagumo system and coherence resonance. Phys Rev E, 1999, 60: 7270–7275
7. Kitajo K, Nozaki D, Ward L M, et al. Behavioral stochastic resonance within the human brain. Phys Rev Lett, 2003, 90: 218103
8. Aldo F A, Luc P J, Daniel M W. Noise in the nervous system. Nat Rev Neurosci, 2008, 9: 292–303
9. Mark D M, Derek A. What is stochastic resonance? Definitions, misconceptions, debates, and its relevance to biology. PloS Comput Biol, 2009, 5: e1000348
10. Peter H. Stochastic resonance in biology. How noise can enhance detection of weak signals and help improve biological information processing. Chem Phys Chem, 2002, 3: 285–290
11. Liu F, Wang J F, Wang W. Frequency sensitivity in weak signal detection. Phys Rev E 1999, 59: 3453–3460
12. Wang W, Chen G, Wang Z D. 40-Hz coherent oscillations in neuronal systems. Phys Rev E, 1997, 56: 3728–3731
13. Eckmann J P, Feinerman O, Gruendlinger L, et al. The physics of living neural networks. Phys Rep, 2007, 449: 54–76
14. Perc M, Stochastic resonance on weakly paced scale-free networks. Phys Rev E, 2008, 78: 036105
15. Uzun R, Ozer M, Perc M. Can scale-freeness offset delayed signal detection in neuronal networks? EPL, 2014, 105: 60002
16. Yılmaz E, Uzuntarla M, Ozer M, et al. Stochastic resonance in hybrid scale-free neuronal networks. Physica A, 2013, 392: 5735–5741
17. Guo D Q, Wang Q Y, Perc M. Complex synchronous behavior in interneuronal networks with delayed inhibitory and fast electrical synapses. Phys Rev E, 2012, 85: 0161905
18. Wang Q Y, Zhang H H, Perc M, et al. Multiple firing coherence resonances in excitatory and inhibitory coupled neurons. Commun Nonlinear Sci Numer Simulat, 2012, 17: 3979–3988
19. Gu H G, Jia B, Li Y Y, et al. White noise-induced spiral waves and multiple spatial coherence resonances in a neuronal network with type I excitability. Physica A, 2013, 392: 1361–1374
20. Tang Z, Li Y Y, Xi L, et al. Spiral waves and multiple spatial coherence resonances induced by colored noise in neuronal network. Commun Theor Phys, 2012, 57: 61–67
21. Hu B L, Ma J, Tang J. Selection of multiarmed spiral waves in a regular network of neurons. PLoS One, 2013, 8: e69251
22. Ma J, Huang L, Ying H P, et al. Detecting the breakup of spiral waves in small-world networks of neurons due to channel block. Chin Sci Bull, 2012, 57: 2094–2101
23. Ma J, Hu B L, Wang C N, et al., Simulating the formation of spiral wave in the neuronal system. Nonlinear Dyn, 2013, 73: 73–83
24. Ma J, Wang C N, Ying H P, et al. Emergence of target waves in neuronal networks due to diverse forcing currents. Sci China Phys Mech Astro, 2013, 56: 1126–1138
25. Ma J, Wu Y, Wu N J, et al. Detection of ordered wave in the networks of neurons with changeable connection. Sci China Phys Mech Astro, 2013, 56: 952–959
26. Liu S B, Wu Y, Li J J, et al. The dynamic behavior of spiral waves in stochastic Hodgkin-Huxley neuronal networks with ion channel blocks. Nonlinear Dyn, 2013, 73: 1055–1063
27. Ma J, Huang L, Tang J, et al. Spiral wave death, breakup induced by ion channel poisoning on regular Hodgkin-Huxley neuronal networks. Commun Nonlinear Sci Numer Simulat, 2012, 17: 4281–4293
28. Li F, Ma J. Selection of spiral wave in coupled network under Gaussian colored noise. Int J Mod Phys B, 2013, 27: 13501154
29. Chen J X, Peng L, Ma J, et al. Liberation of a pinned spiral wave by a rotating electric pulse. EPL, 2014, 107: 38001
30. Zhao Y H, Lou Q, Chen J X, et al. Emitting waves from heterogeneity by a rotating electric field. Chaos, 2013, 23: 033141
31. Tang J, Yi M, Chen P, et al. The influence of diversity on spiral wave in the cardiac tissue. EPL, 2012, 97: 28003
32. Hu B, Wang QY. The conditions for onset of beta oscillations in an extended subthalamic nucleus-globus pallidus network. Sci China Tech Sci, 2014, 57: 2020–2027
33. Wang H X, Wang Q Y, Zheng Y H. Bifurcation analysis for Hindmarsh-Rose neuronal model with time-delayed feedback control and application to chaos control. Sci China Tech Sci, 2014, 57: 872–878
34. Song Z G, Xu J. Stability switches and Bogdanov-Takens bifurcation in an inertial two-neuron coupling system with multiple delays. Sci China Tech Sci, 2014, 57: 893–904
35. Jia B, Gu H G, Song S L. Experimental researches on different complex bifurcation procedures of neural firing patterns (in Chinese). Sci China Phys Mech, 2013, 43: 518–523
36. Gu H G, Pan B B, Xu J. Experimental observation of spike, burst and chaos synchronization of calcium concentration oscillations. EPL, 2014, 106: 50003
37. Gu H G, Chen S G. Potassium-induced bifurcations and chaos of firing patterns observed from biological experiment on a neural pacemaker. Sci China Tech Sci, 2014, 57: 864–871
38. Gu H G. Experimental observation of transition from chaotic bursting to chaotic spiking in a neural pacemaker. Chaos, 2013, 23: 023126
39. Xie Y, Kang Y M, Liu Y, et al. Firing properties and synchronization rate in fractional-order Hindmarsh-Rose model neurons. Sci China Tech Sci, 2014, 57: 914–922
40. Wang R B, Zhang Z K. Energy coding in biological neural networks. Cogn Neurodyn, 2007, 1: 203–212
41. Wang R B, Zhang Z K. Energy coding and energy functions for local activities of the brain. Neucomput, 2009, 73: 139–150
42. Volman V, Perc M, Bazhenov M. Gap junctions and epileptic seizures-Two sides of the same coin? PLoS ONE, 2011, 6: e20572
43. Bekkers J M. Synaptic transmission: A new kind of inhibition. Curr Biol, 2002, 12: R648–R650
44. Bekkers J M. Synaptic transmission: Functional autapses in the cortex. Curr Biol, 2003, 13: 433–435
45. Bekkers J M. Synaptic transmission: excitatory autapses find a function? Curr Biol, 2009, 19: R296–298
46. Connelly W M. Autaptic connections and synaptic depression constrain and promote gamma oscillations. PLoS ONE, 2014, 9: e89995
47. Herrmann C S, Klaus A. Autapse Turns Neuron into Oscillator. Int J Bifurcat Chaos, 2004, 14: 623–633
48. Yun Y L, Schmid G, Hänggi P, et al. Spontaneous spiking in an autaptic Hodgkin-Huxley setup. Phys Rev E, 2010, 82: 061907
49. Wang H T, Ma J, Chen Y L, et al. Effect of an autapse on the firing pattern transition in a bursting neuron. Commun Nonlinear Sci Numer Simulat, 2014, 19: 3242–3254
50. Wang H T, Wang L F, Chen Y L, et al. Effect of autaptic activity on the response of a Hodgkin-Huxley neuron. Chaos, 2014, 24: 033122
51. Qin H X, Ma J, Jin W Y, et al. Dynamics of electric activities in neuron and neurons of network induced by autapse. Sci China Tech Sci, 2014, 57: 936–946
52. Qin H X, Ma J, Wang C N, et al. Autapse-induced target wave, spiral wave in regular network of neurons. Sci China Phys Mech Astro, 2014, 57: 1918–1926
53. Ren G D, Wu G, Ma J, et al. Simulation of electric activity of neuron by setting up a reliable neuronal circuit driven by electric autapse. Acta Phys Sin, 2015, 64: 058702
54. Belykh I, de Lange E, Hasler M. Synchronization of bursting neurons: What matters in the network topology. Phys Rev Lett, 2005, 94: 188101
55. Wu X Y, Ma J, Xie Z B, et al., Effect of inhomogeneous distribution of ion channels on collective electric activities of neurons in a ring network. Acta Phys Sin, 2013, 62: 240507
56. Tang J, Luo J M, Ma J, et al. Spiral waves in systems with fractal heterogeneity. Physica A, 2013, 392: 5764–5771
57. Yang Z Q, Hao L J. Dynamics of different compound bursting in two phantom bursting mechanism models. Sci China Tech Sci, 2014, 57: 885–892
58. Jiao X F, Zhu D F. Phase-response synchronization in neuronal population. Sci China Tech Sci, 2014, 57: 923–928
59. Ye W J, Liu S Q, Liu X L. Synchronization of two electrically coupled inspiratory pacemaker neurons. Sci China Tech Sci, 2014, 57: 929–935
60. Qin H X, Ma J, Jin W Y, et al. Dislocation coupling-induced transition of synchronization in two-layer neuronal networks. Commun Theor Phys, 2014, 62: 755–767