IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v157y2022ics0960077922001692.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922001692
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2022.111959?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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).
    2. 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).
    3. 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).
    4. 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.
    5. 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.
    6. 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).
    7. Olaf Sporns & Rolf Kötter, 2004. "Motifs in Brain Networks," PLOS Biology, Public Library of Science, vol. 2(11), pages 1-1, October.
    8. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Njitacke, Zeric Tabekoueng & Ramadoss, Janarthanan & Takembo, Clovis Ntahkie & Rajagopal, Karthikeyan & Awrejcewicz, Jan, 2023. "An enhanced FitzHugh–Nagumo neuron circuit, microcontroller-based hardware implementation: Light illumination and magnetic field effects on information patterns," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Volker Pernice & Benjamin Staude & Stefano Cardanobile & Stefan Rotter, 2011. "How Structure Determines Correlations in Neuronal Networks," PLOS Computational Biology, Public Library of Science, vol. 7(5), pages 1-14, May.
    3. Gabriel Koch Ocker & Ashok Litwin-Kumar & Brent Doiron, 2015. "Self-Organization of Microcircuits in Networks of Spiking Neurons with Plastic Synapses," PLOS Computational Biology, Public Library of Science, vol. 11(8), pages 1-40, August.
    4. Tang, Longkun & Wang, Jiadong & Liang, Jianli, 2023. "Inter-layer synchronization on a two-layer network of unified chaotic systems: The role of network nodal dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    5. Deng, Bin & Zhu, Zechen & Yang, Shuangming & Wei, Xile & Wang, Jiang & Yu, Haitao, 2016. "FPGA implementation of motifs-based neuronal network and synchronization analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 388-402.
    6. Hanbaek Lyu & Yacoub H. Kureh & Joshua Vendrow & Mason A. Porter, 2024. "Learning low-rank latent mesoscale structures in networks," Nature Communications, Nature, vol. 15(1), pages 1-15, December.
    7. Zhou, Peipei & Cai, Shuiming & Liu, Zengrong & Chen, Luonan & Wang, Ruiqi, 2013. "Coupling switches and oscillators as a means to shape cellular signals in biomolecular systems," Chaos, Solitons & Fractals, Elsevier, vol. 50(C), pages 115-126.
    8. Danjin Zhang & Youhua Qian, 2023. "Bursting Oscillations in General Coupled Systems: A Review," Mathematics, MDPI, vol. 11(7), pages 1-16, April.
    9. Yulin Shi & Zoran Nenadic & Xiangmin Xu, 2010. "Novel Use of Matched Filtering for Synaptic Event Detection and Extraction," PLOS ONE, Public Library of Science, vol. 5(11), pages 1-15, November.
    10. Makouo, L. & Woafo, P., 2017. "Experimental observation of bursting patterns in Van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 95-101.
    11. Zhou, Ping & Hu, Xikui & Zhu, Zhigang & Ma, Jun, 2021. "What is the most suitable Lyapunov function?," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    12. Logan Harriger & Martijn P van den Heuvel & Olaf Sporns, 2012. "Rich Club Organization of Macaque Cerebral Cortex and Its Role in Network Communication," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-13, September.
    13. Sun, Guoping & Yang, Feifei & Ren, Guodong & Wang, Chunni, 2023. "Energy encoding in a biophysical neuron and adaptive energy balance under field coupling," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    14. G Karl Steinke & Roberto F Galán, 2011. "Brain Rhythms Reveal a Hierarchical Network Organization," PLOS Computational Biology, Public Library of Science, vol. 7(10), pages 1-15, October.
    15. Raghavendra Singh & Seema Nagar & Amit A Nanavati, 2015. "Analysing Local Sparseness in the Macaque Brain Network," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-22, October.
    16. Yu, Haitao & Guo, Xinmeng & Qin, Qing & Deng, Yun & Wang, Jiang & Liu, Jing & Cao, Yibin, 2017. "Synchrony dynamics underlying effective connectivity reconstruction of neuronal circuits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 674-687.
    17. Yao, Zhao & Wang, Chunni, 2021. "Control the collective behaviors in a functional neural network," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    18. Fossi, Jules Tagne & Njitacke, Zeric Tabekoueng & Tankeu, William Nguimeya & Mendimi, Joseph Marie & Awrejcewicz, Jan & Atangana, Jacques, 2023. "Phase synchronization and coexisting attractors in a model of three different neurons coupled via hybrid synapses," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    19. Christoph Schmidt & Thomas Weiss & Thomas Lehmann & Herbert Witte & Lutz Leistritz, 2013. "Extracting Labeled Topological Patterns from Samples of Networks," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-11, August.
    20. Deng, Bin & Deng, Yun & Yu, Haitao & Guo, Xinmeng & Wang, Jiang, 2016. "Dependence of inter-neuronal effective connectivity on synchrony dynamics in neuronal network motifs," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 48-59.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001692. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.