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Frequency synchronization and excitabilities of two coupled heterogeneous Morris-Lecar neurons

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  • Xing, Miaomiao
  • Song, Xinlin
  • Wang, Hengtong
  • Yang, Zhuoqin
  • Chen, Yong

Abstract

It is well-known that neurons in the same cortical region still have highly heterogeneous responses. These different intrinsic neuronal features play an important role in the connection and coding of the biological nervous system. In this work, we study the response dynamics of a two-neuron network motif composed of class-1 and class-3 Morris-Lecar neurons under an external directional current. The two neurons were found to exhibit frequency locking and then undergo complete frequency synchronization with increases in the coupling strength and the input current. The class-3 neuron in the motif can produce various excitabilities with appropriate coupling strength and input current, including tonic- and phasic-spiking, not only single-spiking. Extensive bifurcation analysis revealed that class-3 neurons undergo different dynamic routes even for the same excitability, and vice versa. These results provide insight into collective behaviors and firing characteristics in heterogeneous neuronal networks.

Suggested Citation

  • Xing, Miaomiao & Song, Xinlin & Wang, Hengtong & Yang, Zhuoqin & Chen, Yong, 2022. "Frequency synchronization and excitabilities of two coupled heterogeneous Morris-Lecar neurons," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001692
    DOI: 10.1016/j.chaos.2022.111959
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    1. Lu, Qishao & Yang, Zhuoqin & Duan, Lixia & Gu, Huaguang & Ren, Wei, 2009. "Dynamics and transitions of firing patterns in deterministic and stochastic neuronal systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 577-597.
    2. Jeffrey A. M. Coull & Dominic Boudreau & Karine Bachand & Steven A. Prescott & Francine Nault & Attila Sík & Paul De Koninck & Yves De Koninck, 2003. "Trans-synaptic shift in anion gradient in spinal lamina I neurons as a mechanism of neuropathic pain," Nature, Nature, vol. 424(6951), pages 938-942, August.
    3. Yumiko Yoshimura & Jami L. M. Dantzker & Edward M. Callaway, 2005. "Excitatory cortical neurons form fine-scale functional networks," Nature, Nature, vol. 433(7028), pages 868-873, February.
    4. Korneev, I.A. & Semenov, V.V. & Slepnev, A.V. & Vadivasova, T.E., 2021. "Complete synchronization of chaos in systems with nonlinear inertial coupling," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    5. Olaf Sporns & Rolf Kötter, 2004. "Motifs in Brain Networks," PLOS Biology, Public Library of Science, vol. 2(11), pages 1-1, October.
    6. Faedo, Nicolás & García-Violini, Demián & Ringwood, John V., 2021. "Controlling synchronization in a complex network of nonlinear oscillators via feedback linearisation and H∞-control," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    7. Zhou, Ping & Yao, Zhao & Ma, Jun & Zhu, Zhigang, 2021. "A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    8. Zhu, Zhigang & Ren, Guodong & Zhang, Xiaofeng & Ma, Jun, 2021. "Effects of multiplicative-noise and coupling on synchronization in thermosensitive neural circuits," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    9. Uri Alon, 2007. "Simplicity in biology," Nature, Nature, vol. 446(7135), pages 497-497, March.
    10. Zhang, Feng & Lu, Qishao & Su, Jianzhong, 2009. "Transition in complex calcium bursting induced by IP3 degradation," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2285-2290.
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