Acta Physica Sinica, Volume. 69, Issue 4, 040501-1(2020)
Figures & Tables(15)
Fig. 1. The (
values: (a)
; (b)
; (c)
; (d)
.
Fig. 2. Bifurcation of the single neuron model with increasing
: (a) Bifurcations of
Fig. 3. Bifurcations of the fast-subsystem of the single neuron with respect to 
.
Fig. 4. The fast-slow variable dissection of bursting of single neuron at different
values: (a)
; (b)
; (c)
; (d)
.
Fig. 5. Transitions with respect to
of coupled neurons model. The same initial values: (a1) The mean values of coupling current
; (a2) maximum spike phase difference
; (a3) maximum burst phase difference
; (a4) coefficient 
; (b2) maximum spike phase difference
; (b3) maximum burst phase difference
; (b4) coefficient
Fig. 6. Membrane potential
(top) and coupling current
(low) of neurons 1 (red) and 2 (blue) with the same initial values at different
values (Insert figure: the enlargement of bursting): (a)
; (b)
; (c)
; (d)
.
Fig. 7. Membrane potential 
(low) of neurons 1 (red) and 2 (blue) with different initial values at different
(Insert figure: the enlargement of bursting): (a)
= 0.35 nS; (b)
= 1.5 nS; (c)
= 2.5 nS; (d)
= 5.0 nS; (e)
= 18.0 nS.
Fig. 8. Bifurcations of the fast-subsystem of the two coupled neurons with respect to 
= 1.5 nS (Insert figure: the enlargement): (a) Equilibrium points; (b) equilibrium points and limit cycle.
Fig. 9. The fast-slow variable dissection of neuron 1 for different initial values at different
values (Insert figure: the enlargement): (a)
= 0.35 nS; (b)
= 2.5 nS; (c)
= 5.0 nS; (d)
= 18.0 nS.
Fig. 10. The fast-slow variable dissection of neuron 1 for different initial values at different
values (Insert figure: the enlargement): (a)
= 0.35 nS; (b)
= 1.5 nS; (c) and (d)
= 2.5 nS; (e)
= 5.0 nS; (f)
= 18.0 nS.
Fig. 11. The anti-phase (purple) and in-phase (green) period-1 spiking: (a) The
Fig. 12. (a) Bifurcations of equilibrium points and limit cycle of the fast-subsystem; (b) enlargement of (a); (c) fast-slow variable dissection of anti-phase (purple) and in-phase (green) period-1 spiking; (d) enlargement of anti-phase (purple) and in-phase (green) period-1 spiking in Fig. (c).
Table 1. [in Chinese]
View tableView in ArticleTable 1. [in Chinese]
参数 参数值 参数 参数值 参数 参数值 参数 参数值 C 21 pF $ {\sigma _{ {\rm{m_p} }} } $ –6 mV $ {g_{ {\rm{Nap} }} } $ 2.8 nS ${E_{{\rm{Na}}}}$ 50 mV $ {\theta _{ {\rm{m_p} }} } $ –40 mV ${\sigma _{\rm{m}}}$ –5 mV ${g_{{\rm{Na}}}}$ 28 nS ${E_{\rm{K}}}$ –85 mV ${\theta _{\rm{m}}}$ –34 mV $\sigma {}_{\rm{h}}$ 6 mV ${g_{\rm{L}}}$ 2.8 nS ${E_{\rm{L}}}$ –65 mV ${\theta _{\rm{h}}}$ –48 mV ${\sigma _{\rm{n}}}$ –4 mV ${g_{ {\text{tonic-e} } } }$ 0.4 nS ${\bar \tau _{\rm{h}}}$ 10000 ms ${\theta _{\rm{n}}}$ –29 mV ${\sigma _{\rm{s}}}$ –5 mV ${\varepsilon _{}}$ 6 ${\bar \tau _{\rm{n}}}$ 5 ms $\theta {}_{\rm{s}}$ –10 mV ${\alpha _{\rm{s}}}$ –5 mV
Table 2. The values of slow variable h of the bifurcation or key points at different values.
View tableView in ArticleTable 2. The values of slow variable h of the bifurcation or key points at different values.
关键点 h的值 F1 F2 subh HC LPC 共存区域 $ {g_{\rm{K} }} = 7.1\;{\rm{nS}} $ 0.4928 –1.6780 0.2128 0.3265 0.4308 [0.3265, 0.4308] $ {g_{\rm{K} }} = 7.8\;{\rm{nS}} $ 0.4928 –1.6680 0.2858 0.3476 0.4973 [0.3476, 0.4928] $ {g_{\rm{K} }} = 10.0 \;{\rm{nS}} $ 0.4928 –1.6390 0.5072 0.3941 0.7025 [0.3941, 0.4928] $ {g_{\rm{K} }} = 25.0 \;{\rm{nS}} $ 0.4928 –1.4800 1.7880 0.4849 1.9240 [0.4849, 0.4928]
Table 3. The slow variable h values of the bifurcation or key points at different values.
View tableView in ArticleTable 3. The slow variable h values of the bifurcation or key points at different values.
关键点 h的值 $g_\text{syn-e}$ $g_\text{syn-e}$ $g_\text{syn-e}$ $g_\text{syn-e}$ F1 0.4874 0.4918 0.4908 0.4856 F2 –1.6695 –1.6759 –1.6685 –1.7212 subh1 0.2817 0.2565 0.2259 0.0746 subh2 0.2858 0.2852 0.2274 0.0794 LPC1 0.4927 0.4273 0.3598 0.0960 LPC2 \ 0.3103 0.2406 –0.2504 LPC3 \ \ \ 0.0890 LPC4 \ \ \ –0.099 HC 0.3398 \ \ \ 共存区域 [0.3398, 0.4927] [0.3103, 0.4273] [0.2406, 0.3598] [0.0960, 0.250]和[0.0890, 0.099]
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Yong-Xia Yang, Yu-Ye Li, Hua-Guang Gu.
Paper Information
Category:
Received: Oct. 7, 2019
Accepted: --
Published Online: Nov. 17, 2020
The Author Email:
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