Citation: | Xia Luyuan, Duan Lixia, Wang Zhihui. Investigatint the impacts of sustained hypoxia on the closed-loop respiratory system and its dynamic mechanisms. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(3): 782-800. DOI: 10.6052/0459-1879-24-531 |
[1] |
Smith JC, Ellenberger HH, Ballanyi K, et al. Pre-Bötzinger complex: a brainstem region that may generate respiratory rhythm in mammals. Science, 1991, 254(5032): 726-729 doi: 10.1126/science.1683005
|
[2] |
Smith JC, Butera RJ, Koshiya N, et al. Respiratory rhythm generation in neonatal and adult mammals: The hybrid pacemaker-network model. Respiration Physiology, 2000, 122(2-3): 131-147 doi: 10.1016/S0034-5687(00)00155-9
|
[3] |
李胜岐. 呼吸系统与疾病. 上海: 上海科学技术出版社, 2008: 29-36 (Li Shengqi. Respiratory System and Illness. Shanghai: Shanghai Scientific & Technical Publishers, 2008: 29-36 (in Chinese)
Li Shengqi. Respiratory System and Illness. Shanghai: Shanghai Scientific & Technical Publishers, 2008: 29-36 (in Chinese)
|
[4] |
Butera RJ, Rinzel J, Smith JC. Models of respiratory rhythm generation in the pre-Bötzinger complex. I. Bursting pacemaker neurons. Journal of Neurophysiology, 1999, 82(1): 382-397
|
[5] |
Butera RJ, Rinzel J, Smith JC. Models of respiratory rhythm generation in the pre-Bötzinger complex. II. Populations of coupled pacemaker neurons. Journal of Neurophysiology, 1999, 82(1): 398-415
|
[6] |
Ben-Tal A, Smith JC. A model for control of breathing in mammals: Coupling neural dynamics to peripheral gas exchange and transport. Journal of Theoretical Biology, 2007, 251(3): 480-497
|
[7] |
韩芳, 王青云. 神经动力学研究进展和若干思考. 力学学报, 2023, 55(4): 805-813 (Han Fang, Wang Qingyun. Research advances and some thoughts on neuro dynamics. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(4): 805-813 (in Chinese) doi: 10.6052/0459-1879-22-404
Han Fang, Wang Qingyun. Research advances and some thoughts on neuro dynamics. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(4): 805-813 (in Chinese) doi: 10.6052/0459-1879-22-404
|
[8] |
Shao Y, Wu F, Wang Q. Synchronization and complex dynamics in locally active threshold memristive neurons with chemical synapses. Nonlinear Dynamics, 2024, 112(12): 13483-13502
|
[9] |
Liu H, Yang Z, Yang B. Investigating the dynamics of bursting by combining two fast-slow analyses with codimension-2 bifurcations in the embryonic pre-BötC neuron model. Nonlinear Dynamics, 2023, 111(16): 15417-15444 doi: 10.1007/s11071-023-08630-4
|
[10] |
Zhao Z, Jia B, Gu H. Bifurcations and enhancement of neuronal firing induced by negative feedback. Nonlinear Dynamics, 2016, 86(3): 1549-1560 doi: 10.1007/s11071-016-2976-x
|
[11] |
Shao Y, Wu F, Wang Q. Dynamics and stability of neural systems with indirect interactions involved energy levels. Chaos, Solitons & Fractals, 2024, 183: 114967
|
[12] |
古华光. 神经系统信息处理和异常功能的复杂动力学. 力学学报, 2017, 49(2): 410-420 (Gu Huaguang. Complex dynamics of the nervous system for information processing and abnormal functions. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 410-420 (in Chinese) doi: 10.6052/0459-1879-16-315
Gu Huaguang. Complex dynamics of the nervous system for information processing and abnormal functions. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 410-420 (in Chinese) doi: 10.6052/0459-1879-16-315
|
[13] |
Rinzel J. Bursting oscillations in an excitable membrane model. In: Sleeman B, Janes D, eds. Ordinary and Partial Differential Equations. Springer-Varlag, 1985: 304-316
|
[14] |
Izhikevich EM. Neural excitability, spiking and bursting. International Journal of Bifurcation and Chaos, 2000, 10(11): 1711-1266
|
[15] |
Teka W, Tabak J, Bertram R. The relations between two fast/slow analytical techniques for bursting oscillations. Chaos, 2012, 22: 043117 doi: 10.1063/1.4766943
|
[16] |
Wang YY, Rubin JE. Multiple timescale mixed bursting dynamics in a respiratory neuron model. Journal of Computational Neuroscience, 2016, 41: 245-268 doi: 10.1007/s10827-016-0616-6
|
[17] |
Doi S, Nabetani S, Kumagai S. Complex nonlinear dynamics of the Hodgkin-Huxley equations induced by time scale changes. Biological Cybernetics, 2011, 85: 51-64
|
[18] |
魏梦可, 韩修静, 张晓芳等. 正负双向脉冲式爆炸及其诱导的簇发振荡. 力学学报, 2019, 51(3): 904-911 (Wei Mengke, Han Xiujing, Zhang Xiaofang, et al. Positive and negative pulse-shaped explosion as well as bursting oscillations induced by it. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(3): 904-911 (in Chinese) doi: 10.6052/0459-1879-18-319
Wei Mengke, Han Xiujing, Zhang Xiaofang, et al. Positive and negative pulse-shaped explosion as well as bursting oscillations induced by it. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(3): 904-911 (in Chinese) doi: 10.6052/0459-1879-18-319
|
[19] |
Rubin JE, Hayes JA, Mendenhall JL, et al. Calcium-activated nonspecific cation current and synaptic depression promote network-dependent burst oscillations. Proceedings of the National Academy of Sciences, 2009, 106(8): 2939-2944 doi: 10.1073/pnas.0808776106
|
[20] |
Lü Z, Liu M, Duan L. Dynamical analysis of dendritic mixed bursting within the pre-Bötzinger complex. Nonlinear Dynamics, 2021, 103(1): 897-912 doi: 10.1007/s11071-020-06097-1
|
[21] |
Toporikova N, Butera RJ. Two types of independent bursting mechanisms in inspirator neurons: An integrative model. Journal of Computational Neuroscience, 2011, 30(3): 515-528 doi: 10.1007/s10827-010-0274-z
|
[22] |
Park C, Rubin JE. Cooperation of intrinsic bursting and calcium oscillations underlying activity patterns of model pre-Bötzinger complex neurons. Journal of Computational Neuroscience, 2013, 34(2): 345-366 doi: 10.1007/s10827-012-0425-5
|
[23] |
Duan L, Liang T, Zhao Y, et al. Multi-time scale dynamics of mixed depolarization block bursting. Nonlinear Dynamics, 2021, 103(1): 1043-1053 doi: 10.1007/s11071-020-05744-x
|
[24] |
刘谋天. 多时间尺度神经元系统中的混合簇及其同步研究. [硕士论文]. 北京: 北方工业大学, 2022 (Liu Moutian. Research on mixed bursters pattern and its synchronization in multi-time scale neuron system. [Master Thesis]. Beijing: North China University of Technology, 2022 (in Chinese)
Liu Moutian. Research on mixed bursters pattern and its synchronization in multi-time scale neuron system. [Master Thesis]. Beijing: North China University of Technology, 2022 (in Chinese)
|
[25] |
Ji W, Liu M, Duan L. Influence of electric current and magnetic flow on firing patterns of pre-Bötzinger complex model. Neural Plasticity, 2021, 2021: 6655933
|
[26] |
冀文超, 段利霞, 齐会如. 电磁场下神经元模型中混合簇的分岔机制. 力学学报, 2021, 53(6): 1733-1746 (Ji Wenchao, Duan Lixia, Qi Huiru. Bifurcation mechanism of mixed bursting in neuron model under the electromagnetic field. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(6): 1733-1746 (in Chinese) doi: 10.6052/0459-1879-21-071
Ji Wenchao, Duan Lixia, Qi Huiru. Bifurcation mechanism of mixed bursting in neuron model under the electromagnetic field. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(6): 1733-1746 (in Chinese) doi: 10.6052/0459-1879-21-071
|
[27] |
Givan SA, Cummings KJ. Intermittent severe hypoxia induces plasticity within serotonergic and catecholaminergic neurons in the neonatal rat ventrolateral medulla. Journal of Applied Physiology, 2016, 120(11): 1277-1287 doi: 10.1152/japplphysiol.00048.2016
|
[28] |
Diekman CO, Wilson CG, Thomas PJ. Eupnea, tachypnea, and autoresuscitation in a closed-loop respiratory control model. Journal of Neurophysiology, 2017, 118(4): 2194-2215 doi: 10.1152/jn.00170.2017
|
[29] |
Duan L, Chen X, Xia L, et al. Dynamics and control of mixed bursting in nonlinear pre-Bötzinger complex systems. Nonlinear Dynamics, 2024, 112: 8539-8556 doi: 10.1007/s11071-024-09473-3
|
[30] |
陈雪丽, 夏露源, 王智慧等. 电磁感应驱动下闭环呼吸控制系统中的混合节律及其动力学分析. 物理学报, 2024, 73(18): 180502 (Chen Xueli, Xia Luyuan, Wang Zhihui, et al. Analysis of mixed rhythm and its dynamics in closed-loop respiratory control system driven by electromagnetic induction. Acta Physica Sinica, 2024, 73(18): 180502 (in Chinese) doi: 10.7498/aps.73.20240847
Chen Xueli, Xia Luyuan, Wang Zhihui, et al. Analysis of mixed rhythm and its dynamics in closed-loop respiratory control system driven by electromagnetic induction. Acta Physica Sinica, 2024, 73(18): 180502 (in Chinese) doi: 10.7498/aps.73.20240847
|
[31] |
Borrus DS, Stettler MK, Grover CJ, et al. Inspiratory and sigh breathing rhythms depend on distinct cellular signaling mechanisms in the pre-Bötzinger complex. Journal of Physiology, 2024, 602(5): 809-834 doi: 10.1113/JP285582
|
[32] |
Del Negro CA, Morgado-Valle C, Hayes JA, et al. Sodium and calcium current-mediated pacemaker neurons and respiratory rhythm generation. Journal of Neuroscience, 2005, 25(2): 446-453 doi: 10.1523/JNEUROSCI.2237-04.2005
|
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