Exploring action potential initiation in neurons exposed to DC electric fields through dynamical analysis of conductance-based model |
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| Institution: | 1. School of Electrical Engineering and Automation, Tianjin University, No. 92 Weijin Road, Tianjin 300072, China;2. School of Automation and Electrical Engineering, Tianjin University of Technology and Education, Tianjin 300222, China;1. University of Novi Sad, Faculty of Sciences, Department of Physics, Trg Dositeja Obradovića 4, 21000 Novi Sad, Vojvodina, Serbia;2. Academy of Criminalistic and Police Studies, Cara Dušana 196, 11080 Zemun, Serbia;3. University of Novi Sad, Technical Faculty “M. Pupin”, Đure Đakovića bb, 23000 Zrenjanin, Vojvodina, Serbia;4. Academy of Sciences and Arts of the Republic of Srpska, Bana Lazarevića 1, 78000 Banja Luka, Bosnia and Herzegovina;1. School of Mathematics, Tel-Aviv University, Tel-Aviv 69978, Israel;2. Department of Mechanical Engineering, Technion, Haifa 32000, Israel;1. Alibaba Research Center for Complexity Sciences, Hangzhou Normal University, Hangzhou 310036, China;2. Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;3. Web Sciences Center, University of Electronic Science and Technology of China, Chengdu 610051, China;4. Department of Psychology, University of Graz, Graz 8010, Austria;5. The Research Center for Complex System Science, University of Shanghai for Science and Technology, Shanghai 200093, China;1. School of Mechanical Engineering, Yeungnam University, Kyongsan 712-749, South Korea;2. Collective Dynamics of Complex Systems Research Group, Binghamton University, State University of New York, Binghamton, NY 13902-6000, USA |
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| Abstract: | Noninvasive direct current (DC) electric stimulation of central nervous system is today a promising therapeutic option to alleviate the symptoms of a number of neurological disorders. Despite widespread use of this noninvasive brain modulation technique, a generalizable explanation of its biophysical basis has not been described which seriously restricts its application and development. This paper investigated the dynamical behaviors of Hodgkin’s three classes of neurons exposed to DC electric field based on a conductance-based neuron model. With phase plane and bifurcation analysis, the different responses of each class of neuron to the same stimulation are shown to derive from distinct spike initiating dynamics. Under the effects of negative DC electric field, class 1 neuron generates repetitive spike through a saddle-node on invariant circle (SNIC) bifurcation, while it ceases this repetitive behavior through a Hopf bifurcation; Class 2 neuron generates repetitive spike through a Hopf bifurcation, meanwhile it ceases this repetitive behavior also by a Hopf bifurcation; Class 3 neuron can generate single spike through a quasi-separatrix-crossing (QSC) at first, then it generates repetitive spike through a Hopf bifurcation, while it ceases this repetitive behavior through a SNIC bifurcation. Furthermore, three classes of neurons’ spiking frequency f–electric field E (f–E) curves all have parabolic shape. Our results highlight the effects of external DC electric field on neuronal activity from the biophysical modeling point of view. It can contribute to the application and development of noninvasive DC brain modulation technique. |
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| Keywords: | DC electric field Three classes of neurons Dynamical behavior Bifurcation |
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