呼吸系统耦合神经元模型中树突型混合簇放电的动力学研究
Dynamical Analysis of Dendritic Mixed Bursting in a Coupled-Neuron Model of the Respiratory System
摘要: 呼吸是哺乳动物必不可少的生理活动,对维持正常身体功能和生存起着关键作用。位于脑干中延髓外侧区的pre-Bötzinger复合体是哺乳动物产生和调节呼吸节律的中枢部位。本文以耦合pre-Bötzinger复合体中的神经元为研究对象,运用快慢动力学和分岔分析等方法,讨论了三磷酸肌醇浓度对耦合神经元树突型混合簇放电的影响,并揭示了若干树突型混合簇放电模式产生和转迁的动力学机制。研究发现,三磷酸肌醇浓度对树突型混合簇放电的类型和周期具有显著影响。
Abstract: For mammals, respiration movement is an essential life process that plays a key role in keeping proper body function and survival. The pre-Bötzinger complex in the ventrolateral medulla is a central part of mammals that generates and regulates respiratory rhythm. In this paper, we use the fast-slow decomposition and bifurcation analysis to investigate the effects of inositol triphosphate concentration on dendritic mixed bursting of the two-coupled pre-Bötzinger complex neurons. The research indicates that inositol triphosphate concentration significantly affects both bursting pattern and periodic of the dendritic mixed bursting. Furthermore, we also reveal the dynamical mechanisms underlying the generation and transition of dendritic mixed bursting.
文章引用:赵林帆. 呼吸系统耦合神经元模型中树突型混合簇放电的动力学研究[J]. 动力系统与控制, 2024, 13(1): 33-44. https://doi.org/10.12677/DSC.2024.131004

参考文献

[1] Smith, J.C., Ellenberger, H.H., Ballanyi, K., Richter, D.W. and Feldman, J.L. (1991) Pre-Bötzinger Complex: A Brainstem Region That May Generate Respiratory Rhythm in Mammals. Science, 254, 726-729. [Google Scholar] [CrossRef] [PubMed]
[2] Rekling, J.C. and Feldman, J.L. (1998) Pre-Bötzinger Complex and Pacemaker Neurons: Hypothesized Site and Kernel for Respiratory Rhythm Generation. Annual Review of Physiology, 60, 385-405. [Google Scholar] [CrossRef] [PubMed]
[3] Ramirez, J.M., Quellmalz, U.J. and Richter, D.W. (1996) Postnatal Changes in the Mammalian Respiratory Network as Revealed by the Transverse Brainstem Slice of Mice. The Journal of Physiology, 491, 799-812. [Google Scholar] [CrossRef] [PubMed]
[4] Smith, J.C., Butera, R.J., Koshiya, N., Del Negro, C., Wilson, C.G. and Johnson, S.M. (2000) Respiratory Rhythm Generation in Neonatal and Adult Mammals: The Hybrid Pacemaker-Network Model. Respiration Physiology, 122, 131-147. [Google Scholar] [CrossRef
[5] Rubin, J.E., Shevtsova, N.A., Ermentrout, G.B., Smith, J.C. and Rybak, I.A. (2009) Multiple Rhythmic States in a Model of the Respiratory Central Pattern Generator. Journal of Neurophysiology, 101, 2146-2165. [Google Scholar] [CrossRef] [PubMed]
[6] Hodgkin, A.L. and Huxley, A.F. (1952) A Quantitative Description of Membrane Current and Its Application to Conduction and Excitation in Nerve. The Journal of Physiology, 117, 500-544. [Google Scholar] [CrossRef] [PubMed]
[7] Butera Jr., R.J., Rinzel, J. and Smith, J.C. (1999) Models of Respiratory Rhythm Generation in the Pre-Bötzinger Complex. I. Bursting Pacemaker Neurons. Journal of Neurophysiology, 82, 382-397. [Google Scholar] [CrossRef] [PubMed]
[8] Buter, Jr., R.J., Rinzel, J. and Smith, J.C. (1999) Models of Respiratory Rhythm Reneration in the Pre-Bötzinger Complex. II. Populations of Coupled Pacemaker Neurons. Journal of Neurophysiology, 82, 398-415. [Google Scholar] [CrossRef] [PubMed]
[9] Toporikova, N. and Butera, R.J. (2011) Two Types of Independent Bursting Mechanisms in Inspiratory Neurons: An Integrative Model. Journal of Computational Neuroscience, 30, 515-528. [Google Scholar] [CrossRef] [PubMed]
[10] Dunmyre, J.R., Del Negro, C.A. and Rubin, J.E. (2011) Interactions of Persistent Sodium and Calcium-Activated Nonspecific Cationic Currents Yield Dynamically Distinct Bursting Regimes in a Model of Respiratory Neurons. Journal of Computational Neuroscience, 31, 305-328. [Google Scholar] [CrossRef] [PubMed]
[11] Park, C. and Rubin, J.E. (2013) Cooperation of Intrinsic Bursting and Calcium Oscillations Underlying Activity Patterns of Model Pre-Bötzinger Complex Neurons. Journal of Computational Neuroscience, 34, 345-366. [Google Scholar] [CrossRef] [PubMed]
[12] Rinzel, J. (1985) Excitation Dynamics: Insights from Simplified Membrane Models. Federation Proceedings, 44, 2944- 2946.
[13] Rubin, J.E. (2006) Bursting Induced by Excitatory Synaptic Coupling in Nonidentical Conditional Relaxation Oscillators or Square-Wave Bursters. Physical Review E, 74, Article ID: 021917. [Google Scholar] [CrossRef
[14] Best, J., Borisyuk, A., Rubin, J.E., Terman, D.H. and Wechselberger, M. (2005) The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network. Siam Journal on Applied Dynamical Systems, 4, 1107-1139. [Google Scholar] [CrossRef
[15] Izhikevich, E.M. (2000) Neural Excitability, Spiking and Bursting. International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 10, 1171-1266. [Google Scholar] [CrossRef
[16] Del Negro, C.A., Hayes, J.A. and Rekling, J.C. (2011) Dendritic Calcium Activity Precedes Inspiratory Bursts in Pre-Bötzinger Complex Neurons. The Journal of Neuroscience, 31, 1017-1022. [Google Scholar] [CrossRef
[17] Wang, Y. and Rubin, J.E. (2016) Multiple Timescale Mixed Bursting Dynamics in a Respiratory Neuron Model. Journal of Computational Neuroscience, 41, 245-268. [Google Scholar] [CrossRef] [PubMed]
[18] Lü, Z.S., Chen, L.N. and Duan, L.X. (2019) Bifurcation Analysis of Mixed Bursting in the Pre-Bötzinger Complex. Applied Mathematical Modelling, 67, 234-251. [Google Scholar] [CrossRef
[19] Wang, Z., Duan, L. and Cao, Q. (2018) Multi-Stability Involved Mixed Bursting within the Coupled Pre-Bötzinger Complex Neurons. Chinese Physics B, 27, Article ID: 070502. [Google Scholar] [CrossRef
[20] Toporikova, N., Chevalier, M. and Thoby-Brisson, M. (2015) Sigh and Eupnea Rhythmogenesis Involve Distinct Interconnected Subpopulations: A Combined Computational and Experimental Study. ENeuro, 2, ENEURO.0074-14. [Google Scholar] [CrossRef
[21] Wang, Y. and Rubin, J.E. (2020) Complex Bursting Dynamics in an Embryonic Respiratory Neuron Model. Chaos, 30, Article ID: 043127. [Google Scholar] [CrossRef] [PubMed]
[22] Revill, A.L., Katzell, A., Negro, C.A.D., Milsom, W.K. and Funk, G.D. (2021) KCNQ Current Contributes to Inspiratory Burst Termination in the Pre-Bötzinger Complex of Neonatal Rats in Vitro. Frontiers in Physiology, 12, Article 626470. [Google Scholar] [CrossRef] [PubMed]
[23] Lü, Z., Liu, M. and Duan, L. (2021) Dynamical Analysis of Dendritic Mixed Bursting within the Pre-Bötzinger Complex. Nonlinear Dynamisc, 103, 897-912. [Google Scholar] [CrossRef
[24] Ma, K., Gu, H. and Zhao, Z. (2021) Fast-Slow Variable Dissection with Two Slow Variables: A Case Study on Bifurcations Underlying Bursting for Seizure and Spreading Depression. International Journal of Bifurcation and Chaos, 31, Article ID: 2150096. [Google Scholar] [CrossRef
[25] Li, Y., Gu, H., Jia, Y. and Ma, K. (2021) Fast-Slow Variable Dissection with Two Slow Variables Related to Calcium Concentrations: A Case Study to Bursting in a Neural Pacemaker Model. [Google Scholar] [CrossRef
[26] Liang, Y., Lu, B. and Gu, H. (2022) Analysis to Dynamics of Complex Electrical Activities in Wilson Model of Brain Neocortical Neuron Using Fast-Slow Variable Dissection with Two Slow Variables. Acta Physica Sinica, 71, Article ID: 230502. [Google Scholar] [CrossRef