持续钠钙离子电流对呼吸神经元混合簇放电的影响及其动力学分析
Effects of Persistent Sodium and Calcium Current on Mixed Bursting in the Respiratory Neuron with Dynamical Analysis
摘要: 实验研究发现哺乳动物脑干中的pre-Bötzinger复合体是呼吸节律产生的关键部位，其中蕴含很多动力学行为。改变钙激活非特异性阳离子电流和持续钠电流，此类吸气神经元模型可以产生一系列特殊的胞体–树突混合簇放电模式，即同一周期内有多种类型簇放电的放电模式。利用快慢变量分离和分岔分析等动力学方法探究混合簇放电的产生和转迁机制，发现钙激活非特异性阳离子电流和持续钠电流的变化导致混合簇的数量和类型的变化，为以后探究呼吸运动节律起源提供理论支持。
Abstract: The experimental study found that the pre-Bötzinger complex in the mammalian brain stem is the key part of the generation of respiratory rhythm, which contains many dynamic behaviors. By changing calcium activated nonspecific cation current and persistent sodium current, such as the inspiratory neuron model, a series of special somatic-dendritic mixed bursting patterns can be generated, that is, there are multiple types of bursting patterns in the same cycle. Dynamic methods such as fast-slow decomposition and bifurcation analysis were used to explore the generation and transition mechanism of somatic-dendritic mixed bursting, and it was found that the changes of calcium activated nonspecific cation current and persistent sodium current lead to changes in the number and type of mixed cluster discharge, providing theoretical support for future research on the origin of respiratory movement rhythm.
文章引用：张珂. 持续钠钙离子电流对呼吸神经元混合簇放电的影响及其动力学分析[J]. 动力系统与控制, 2023, 12(2): 39-50. https://doi.org/10.12677/DSC.2023.122005

参考文献

[1] Smith, J.C., Ellenberger, H.H., Ballanyi, K. 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] Butera, 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]
[3] Butera, R.J., Rinzel, J. and Smith, J.C. (1999) Models of Respiratory Rhythm Generation in the Pre-Bötzinger Complex. II. Populations of Coupled Pacemaker Neurons. Journal of Neurophysiology, 82, 398-415.
[Google Scholar] [CrossRef] [PubMed]
[4] Paton, J., Abdala, A., Koizumu, H., Smith, J.C. and St-John, W.M. (2006) Respiratory Rhythm Generation during Gasping Depends on Persistent Sodium Current. Nature Neuroscience, 9, 311-313.
[Google Scholar] [CrossRef] [PubMed]
[5] Pace, R.W., Machay, D.D., Feldman, J.L. and Del Negro, C.A. (2007) Inspiratory Bursts in the Pre-Bötzinger Complex Depend on a Calcium-Activated Non-Specific Cation Current Linked to Glutamate Receptors in Neonatal Mice. The Journal of Physiology, 582, 113-125.
[Google Scholar] [CrossRef] [PubMed]
[6] 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]
[7] 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]
[8] Rinzel, J. (1986) Excitation Dynamics: Insights from Simplified membrane Models. Federation Proceedings, 44, 2944-2946.
[9] Gu, H.G., Pan, B.B., Chen, G.R. and Duan, L.X. (2014) Biological Experimental Demonstration of Bifurcations from Bursting to Spiking Predicted by Theoretical Models. Nonlinear Dynamics, 78, 391-407.
[Google Scholar] [CrossRef] 
[10] Lü, Z.S., Zhao, C., Zhang, B.Z. and Duan, L.X. (2017) Multitime Scale Study of Bursting Activities in the Pre- Bötzinger Complex. International Journal of Bifurcation & Chaos, 27, Article ID: 1750172.
[Google Scholar] [CrossRef] 
[11] Zhan, F.B., Liu, S.Q. and Zhang, X.H. (2018) Mixed-Mode Oscillations and Bifurcation Analysis in a Pituitary Model. Nonlinear Dynamics, 94, 807-826.
[Google Scholar] [CrossRef] 
[12] 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]
[13] Wang, Y.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]
[14] Duan, L.X., Liu, J., Chen, X., Xiao, P.C. and Zhao, Y. (2016) Dynamics of In-Phase and Anti-Phase Bursting in the Coupled Pre-Bötzinger Complex Cells. Cognitive Neurodynamics, 11, 91-97.
[Google Scholar] [CrossRef] [PubMed]
[15] Zhao, Y.Q., Liu, M.T., Zhao, Y. and Duan, L.X. (2021) Dynamics of Mixed Bursting in Coupled Pre-Bötzinger Complex. Acta Physica Sinica, 70, Article ID: 120501.
[Google Scholar] [CrossRef] 
[16] Wang, Z.J., Duan, L.X. and Cao, Q.Y. (2018) Multi-Stability Involved Mixed Bursting within the Coupled Pre- Bötzinger Complex Neurons. Chinese Physics B, 27, Article ID: 070502.
[Google Scholar] [CrossRef] 
[17] Lü, Z.S., Liu, M.R. and Duan, L.X. (2019) Bifurcation Analysis of Mixed Bursting in the Pre-Bötzinger Complex. Applied Mathematical Modelling, 67, 234-251.
[Google Scholar] [CrossRef] 
[18] Lü, Z.S., Liu, M.R. and Duan, L.X. (2021) Dynamical Analysis of Dendritic Mixed Bursting within the Pre-Bötzinger Complex. Nonlinear Dynamics, 103, 897-912.
[Google Scholar] [CrossRef] 
[19] Viemari, J. and Ramirez, J. (2006) Norepinephrine Differentially Modulates Different Types Of Respiratory Pacemaker and Nonpacemaker Neurons. Journal of Neurophysiology, 95, 2070-2082.
[Google Scholar] [CrossRef] [PubMed]
[20] Atsushi, D., Sebastien, Z., Frank, E., et al. (2011) Upregulation of Norepinephrine (NE) Causes Instability of Respiratory Rhythm under Acute Intermitted Hypoxia (AIH) at in Vivo Whole Mice. The FASEB Journal, 25, 1074.2.
[Google Scholar] [CrossRef] 
[21] Tang, Q., Ma, J.H., Zhang, P.H., Wan, W., Kong, L.H. and Wu, L. (2012) Persistent Sodium Current and Na+/H+ Exchange Contributes to the Augmentation of the Reverse Na+/Ca2+ Exchange during Hypoxia or acute Ischemia in Ventricular Myocytes. Pflügers Archiv-European Journal of Physiology, 463, 513-522.
[Google Scholar] [CrossRef] [PubMed]
[22] Mantegazza, M., Franceschetti, S. and Avanzini, G. (1998) Anemone Toxin (ATX II)-Induced Increase in Persistent Sodium Current: Effects on the Firing Properties of Rat Neocortical Pyramidal Neurons. The Journal of Physiology, 507, 105-116.
[Google Scholar] [CrossRef] [PubMed]
[23] Wengert, E.R. and Patel, M.K. (2020) The Role of the Persistent Sodium Current in Epilepsy. Epilepsy Currents, 21, 40-47.
[Google Scholar] [CrossRef] [PubMed]

为你推荐