IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0171273.html
   My bibliography  Save this article

Impact of Bounded Noise and Rewiring on the Formation and Instability of Spiral Waves in a Small-World Network of Hodgkin-Huxley Neurons

Author

Listed:
  • Yuangen Yao
  • Haiyou Deng
  • Chengzhang Ma
  • Ming Yi
  • Jun Ma

Abstract

Spiral waves are observed in the chemical, physical and biological systems, and the emergence of spiral waves in cardiac tissue is linked to some diseases such as heart ventricular fibrillation and epilepsy; thus it has importance in theoretical studies and potential medical applications. Noise is inevitable in neuronal systems and can change the electrical activities of neuron in different ways. Many previous theoretical studies about the impacts of noise on spiral waves focus an unbounded Gaussian noise and even colored noise. In this paper, the impacts of bounded noise and rewiring of network on the formation and instability of spiral waves are discussed in small-world (SW) network of Hodgkin-Huxley (HH) neurons through numerical simulations, and possible statistical analysis will be carried out. Firstly, we present SW network of HH neurons subjected to bounded noise. Then, it is numerically demonstrated that bounded noise with proper intensity σ, amplitude A, or frequency f can facilitate the formation of spiral waves when rewiring probability p is below certain thresholds. In other words, bounded noise-induced resonant behavior can occur in the SW network of neurons. In addition, rewiring probability p always impairs spiral waves, while spiral waves are confirmed to be robust for small p, thus shortcut-induced phase transition of spiral wave with the increase of p is induced. Furthermore, statistical factors of synchronization are calculated to discern the phase transition of spatial pattern, and it is confirmed that larger factor of synchronization is approached with increasing of rewiring probability p, and the stability of spiral wave is destroyed.

Suggested Citation

  • Yuangen Yao & Haiyou Deng & Chengzhang Ma & Ming Yi & Jun Ma, 2017. "Impact of Bounded Noise and Rewiring on the Formation and Instability of Spiral Waves in a Small-World Network of Hodgkin-Huxley Neurons," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-13, January.
    • Handle: RePEc:plo:pone00:0171273
    DOI: 10.1371/journal.pone.0171273
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0171273
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0171273&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0171273?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
    ---><---

    References listed on IDEAS

    as
    1. X. J. Sun & J. Z. Lei & M. Perc & Q. S. Lu & S. J. Lv, 2011. "Effects of channel noise on firing coherence of small-world Hodgkin-Huxley neuronal networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 79(1), pages 61-66, January.
    2. Yang, X.L. & Jia, Y.B. & Zhang, L., 2014. "Impact of bounded noise and shortcuts on the spatiotemporal dynamics of neuronal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 617-623.
    3. Mark M. Churchland & John P. Cunningham & Matthew T. Kaufman & Justin D. Foster & Paul Nuyujukian & Stephen I. Ryu & Krishna V. Shenoy, 2012. "Neural population dynamics during reaching," Nature, Nature, vol. 487(7405), pages 51-56, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yuangen Yao & Wei Cao & Qiming Pei & Chengzhang Ma & Ming Yi, 2018. "Breakup of Spiral Wave and Order-Disorder Spatial Pattern Transition Induced by Spatially Uniform Cross-Correlated Sine-Wiener Noises in a Regular Network of Hodgkin-Huxley Neurons," Complexity, Hindawi, vol. 2018, pages 1-10, April.
    2. Yuangen Yao & Lijian Yang & Canjun Wang & Quan Liu & Rong Gui & Juan Xiong & Ming Yi, 2018. "Subthreshold Periodic Signal Detection by Bounded Noise-Induced Resonance in the FitzHugh–Nagumo Neuron," Complexity, Hindawi, vol. 2018, pages 1-10, February.
    3. Cheng, Guanghui & Liu, Weidan & Gui, Rong & Yao, Yuangen, 2020. "Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

    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. Sanaya N. Shroff & Eric Lowet & Sudiksha Sridhar & Howard J. Gritton & Mohammed Abumuaileq & Hua-An Tseng & Cyrus Cheung & Samuel L. Zhou & Krishnakanth Kondabolu & Xue Han, 2023. "Striatal cholinergic interneuron membrane voltage tracks locomotor rhythms in mice," Nature Communications, Nature, vol. 14(1), pages 1-17, December.
    2. Shan Yu & Andreas Klaus & Hongdian Yang & Dietmar Plenz, 2014. "Scale-Invariant Neuronal Avalanche Dynamics and the Cut-Off in Size Distributions," PLOS ONE, Public Library of Science, vol. 9(6), pages 1-12, June.
    3. Ian S Howard & David W Franklin, 2015. "Neural Tuning Functions Underlie Both Generalization and Interference," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-21, June.
    4. Pierre O. Boucher & Tian Wang & Laura Carceroni & Gary Kane & Krishna V. Shenoy & Chandramouli Chandrasekaran, 2023. "Initial conditions combine with sensory evidence to induce decision-related dynamics in premotor cortex," Nature Communications, Nature, vol. 14(1), pages 1-28, December.
    5. Adrian M Haith & David M Huberdeau & John W Krakauer, 2015. "Hedging Your Bets: Intermediate Movements as Optimal Behavior in the Context of an Incomplete Decision," PLOS Computational Biology, Public Library of Science, vol. 11(3), pages 1-21, March.
    6. Ramírez-Piscina, L. & Sancho, J.M., 2018. "Periodic spiking by a pair of ionic channels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 345-354.
    7. Nir Even-Chen & Blue Sheffer & Saurabh Vyas & Stephen I Ryu & Krishna V Shenoy, 2019. "Structure and variability of delay activity in premotor cortex," PLOS Computational Biology, Public Library of Science, vol. 15(2), pages 1-17, February.
    8. Josh Merel & Donald M Pianto & John P Cunningham & Liam Paninski, 2015. "Encoder-Decoder Optimization for Brain-Computer Interfaces," PLOS Computational Biology, Public Library of Science, vol. 11(6), pages 1-25, June.
    9. Hagai Lalazar & L F Abbott & Eilon Vaadia, 2016. "Tuning Curves for Arm Posture Control in Motor Cortex Are Consistent with Random Connectivity," PLOS Computational Biology, Public Library of Science, vol. 12(5), pages 1-27, May.
    10. Yu, Haitao & Zhang, Lianghao & Guo, Xinmeng & Wang, Jiang & Cao, Yibin & Liu, Jing, 2018. "Effect of inhibitory firing pattern on coherence resonance in random neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1201-1210.
    11. Guo, Xinmeng & Wang, Jiang & Liu, Jing & Yu, Haitao & Galán, Roberto F. & Cao, Yibin & Deng, Bin, 2017. "Optimal time scales of input fluctuations for spiking coherence and reliability in stochastic Hodgkin–Huxley neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 381-390.
    12. Benjamin R Cowley & Matthew A Smith & Adam Kohn & Byron M Yu, 2016. "Stimulus-Driven Population Activity Patterns in Macaque Primary Visual Cortex," PLOS Computational Biology, Public Library of Science, vol. 12(12), pages 1-31, December.
    13. Baysal, Veli & Solmaz, Ramazan & Ma, Jun, 2023. "Investigation of chaotic resonance in Type-I and Type-II Morris-Lecar neurons," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    14. Sravani Kondapavulur & Stefan M. Lemke & David Darevsky & Ling Guo & Preeya Khanna & Karunesh Ganguly, 2022. "Transition from predictable to variable motor cortex and striatal ensemble patterning during behavioral exploration," Nature Communications, Nature, vol. 13(1), pages 1-17, December.
    15. Yuangen Yao & Lijian Yang & Canjun Wang & Quan Liu & Rong Gui & Juan Xiong & Ming Yi, 2018. "Subthreshold Periodic Signal Detection by Bounded Noise-Induced Resonance in the FitzHugh–Nagumo Neuron," Complexity, Hindawi, vol. 2018, pages 1-10, February.
    16. Akshay Markanday & Sungho Hong & Junya Inoue & Erik Schutter & Peter Thier, 2023. "Multidimensional cerebellar computations for flexible kinematic control of movements," Nature Communications, Nature, vol. 14(1), pages 1-16, December.
    17. David Kappel & Bernhard Nessler & Wolfgang Maass, 2014. "STDP Installs in Winner-Take-All Circuits an Online Approximation to Hidden Markov Model Learning," PLOS Computational Biology, Public Library of Science, vol. 10(3), pages 1-22, March.
    18. Josh Merel & David Carlson & Liam Paninski & John P Cunningham, 2016. "Neuroprosthetic Decoder Training as Imitation Learning," PLOS Computational Biology, Public Library of Science, vol. 12(5), pages 1-24, May.
    19. Li, Jiajia & Wang, Rong & Du, Mengmeng & Tang, Jun & Wu, Ying, 2016. "Dynamic transition on the seizure-like neuronal activity by astrocytic calcium channel block," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 702-708.
    20. Simon Sponberg & Thomas L Daniel & Adrienne L Fairhall, 2015. "Dual Dimensionality Reduction Reveals Independent Encoding of Motor Features in a Muscle Synergy for Insect Flight Control," PLOS Computational Biology, Public Library of Science, vol. 11(4), pages 1-23, April.

    More about this item

    Statistics

    Access and download statistics

    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:plo:pone00:0171273. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.