EI、Scopus 收录
中文核心期刊
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
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

INVESTIGATINT THE IMPACTS OF SUSTAINED HYPOXIA ON THE CLOSED-LOOP RESPIRATORY SYSTEM AND ITS DYNAMIC MECHANISMS

  • Received Date: November 21, 2024
  • Accepted Date: January 12, 2025
  • Available Online: January 12, 2025
  • Published Date: January 17, 2025
  • The respiratory control system precisely regulates the generation and maintenance of the breathing rhythm to adapt to the body's requirements in different physiological and pathological conditions. Pathological dyspnea can occur when oxygen levels in the arterial blood drop below the standard threshold. The pre-Bötzinger complex serves as a crucial site for the generation of the respiratory rhythm, contains expiratory neurons, inspiratory neurons, and post-inspiratory neurons. These neurons work in collaboration to regulate the respiratory rhythm through a variety of mechanisms, including neural modulation and chemical modulation. The breathing process involves interaction of multiple time scales, including the firing activity of neuronal networks, expansion and contraction of alveoli, and transport of oxygen in the blood. Understanding the mechanisms underlying the regulation of respiratory rhythm has long been a central focus of research. Under certain hypoxic conditions, the closed-loop respiratory control system exhibits self-recovery capabilities, as demonstrated in this study which investigates the system's self-recovery capability following sustained hypoxia interference under different initial conditions. The study demonstrates that the closed-loop respiratory control system can recover completely to normoxic level, partially recover to mild hypoxic level or completely fail to recover. Based on the simplicity of square wave currents, the study simplifies the closed-loop respiratory model and applies dynamic analysis methods to investigate the dynamic mechanisms of the system's different responses. Bifurcation analysis results indicate that changes of bifurcation structures at different stages during sustained hypoxia are key factors affecting the recovery capability. Specifically, the closed-loop respiratory control system can fully recover to normoxic level only when the bifurcation structure remain unchanged before and after sustained hypoxia, This research enchances our understanding of how sustained hypoxic perturbs respiratory rhythms, investigates the relationship between external factors and physiological conditions related to rhythm recovery, as well as the intrinsic dynamical mechanisms governing rhythm recovery.
  • [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
  • Related Articles

    [1]Hua Hongtao, Gu Huaguang. INHIBITORY STIMULATION WITH HIGH FREQUENCY INDUCES MIXED-MODE BURSTING: COOPERATION BETWEEN DIFFERENT DYNAMICS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(4): 1-14. DOI: 10.6052/0459-1879-25-022
    [2]Ji Wenchao, Duan Lixia, Qi Huiru. BIFURCATION MECHANISM OF MIXED BURSTING IN NEURON MODEL UNDER THE ELECTROMAGNETIC FIELD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(6): 1733-1746. DOI: 10.6052/0459-1879-21-071
    [3]Ma Xindong, Jiang Wenan, Zhang Xiaofang, Han Xiujing, Bi Qinsheng. COMPLICATED BURSTING BEHAVIORS AS WELL AS THE MECHANISM OF A THREE DIMENSIONAL NONLINEAR SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1789-1799. DOI: 10.6052/0459-1879-20-231
    [4]Mengke Wei, Xiujing Han, Xiaofang Zhang, Qinsheng Bi. POSITIVE AND NEGATIVE PULSE-SHAPED EXPLOSION AS WELL AS BURSTING OSCILLATIONS INDUCED BY IT[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(3): 904-911. DOI: 10.6052/0459-1879-18-319
    [5]Jiankang Zheng, Xiaofang Zhang, Qinsheng Bi. BURSTING OSCILLATIONS AS WELL AS THE DELAYED PITCHFORK BIFURCATION BEHAVIORS IN A CLASS OF CHAOTIC SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 540-549. DOI: 10.6052/0459-1879-18-241
    [6]Zhang Yi, Han Xiujing, Bi Qinsheng. SERIES-MODE PITCHFORK-HYSTERESIS BURSTING OSCILLATIONS AND THEIR DYNAMICAL MECHANISMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(1): 228-236. DOI: 10.6052/0459-1879-18-223
    [7]Chen Zhenyang, Han Xiujing, Bi Qinsheng. COMPLEX BURSTING OSCILLATION STRUCTURES IN A TWO-DIMENSIONAL NON-AUTONOMOUS DISCRETE SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(1): 165-174. DOI: 10.6052/0459-1879-16-267
    [8]Chen Zhangyao, Chen Yaguang, Bi Qinsheng. BURSTING OSCILLATIONS AS WELL AS THE BIFURCATION MECHANISM INDUCED BY FAST SUBSYSTEM WITH MULTIPLE BALANCES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(4): 699-706. DOI: 10.6052/0459-1879-14-353
    [9]Zhang Xiaofang, Chen Xiaoke, Bi Qinsheng. RELAXATION BURSTING OF A FAST-SLOW COUPLED OSCILLATOR AS WELL AS THE MECHANISM OF NON-SMOOTH BIFURCATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, (3): 576-583. DOI: 10.6052/0459-1879-2012-3-20120314
    [10]THE MAXIMUM ENERGY CRITERION FOR IDENTIFYING BURST EVENTS IN WALL TURBULENCE USING WAVELET ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(4): 406-412. DOI: 10.6052/0459-1879-1997-4-1995-245

Catalog

    Article Metrics

    Article views (39) PDF downloads (12) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return