人體肺呼吸非線性動力學模型的構建及求解
發(fā)布時間：2018-10-09 13:23
【摘要】：呼吸系統(tǒng)是人體重要的氧氣儲運循環(huán)通道,依據(jù)人體生理結構可劃分出近似相對獨立、相對封閉的循環(huán)系統(tǒng)。此系統(tǒng)中各參量之間存在著相互作用并且處于非常復雜的正負反饋調節(jié)狀態(tài),由此促成由吸入空氣而獲得進入血液的氧氣,到呼出二氧化碳使得肺泡內部產生負壓,進而促成下一循環(huán)的吸氣這樣周而復始的呼吸循環(huán)運動,以維持人的生存。正常成年人平靜狀態(tài)下的呼吸是具有一定節(jié)律的過程,參與呼吸各參量之間正負反饋的調節(jié)控制具有非線性特征。因此可以采用探討非線性問題的理論和方法研究其各參量之間的相互作用變化行為。已有很多的研究表明,對人體生理中相對獨立的循環(huán)系統(tǒng)建立非線性動力學模擬,可以較好地解釋其內在參量的作用規(guī)律,并與已有的實驗結果相吻合。因此,根據(jù)生理系統(tǒng)運行機理建立相應的非線性動力學模型,來分析所研究系統(tǒng)的生理功能是一個新的研究熱點,受到了研究人員的普遍的關注與研究,并已取得了顯著的成果。正常成年人的呼吸是一種生理上自動調節(jié)運動節(jié)律的近周期過程,目前認為,呼吸過程中決定氣流進出和強弱(用單位時間內肺泡體積變化率的通氣量V(5)表示)的主要影響來源于兩種:(1)機械作用,其包含:(1)大氣壓0p與肺泡內氣壓p之差0(35)p=p-p引起的氣體流動;(2)肺泡(和氣道)形變對氣壓差的影響;(2)化學反饋作用:主要是血液中的CO2和O2的濃度變化作用在相關感受器,后經迷走神經反饋到腦的呼吸中樞,再反過來作用在相關的呼吸肌上影響通氣量V(5)的變化。本文基于人體生理結構及對臨床實驗結果的分析,全面地考慮呼吸系統(tǒng)中各參量調節(jié)控制作用及其機理,首次建立了一個人體肺呼吸系統(tǒng)的非線性動力學模型,并借助MATLAB計算平臺求解出了此模型的周期振蕩解、倍周期解和混沌解,并且在周期振蕩解的合理參數(shù)基礎上,通過設定特定通道參量的改變,以模擬出部分呼吸疾病的情況,得到了較為切合臨床已有實驗數(shù)據(jù)的模擬結果。結果表明:由所建立的人體肺呼吸系統(tǒng)非線性動力學模型模擬所得的各參量數(shù)值及其變化與實驗研究結果一致,因此,模型是合理的。
[Abstract]:Respiratory system is an important circulation channel of oxygen storage and transportation. According to the physiological structure of human body, it can be divided into relatively independent and relatively closed circulation system. There is interaction between the parameters in this system and it is in a very complex positive and negative feedback regulation state, which causes oxygen to enter the blood by inhaling air, and the exhalation of carbon dioxide creates negative pressure in the alveoli. In turn, the next cycle of inhale, such as the repeated cycle of respiration, to maintain the survival of human beings. In normal adults, breathing is a rhythmic process, and the regulation and control of positive and negative feedback among the parameters involved in breathing have nonlinear characteristics. Therefore, the theory and method of nonlinear problems can be used to study the interaction between the parameters. Many studies have shown that the establishment of nonlinear dynamic simulation of relatively independent circulatory system in human physiology can better explain the law of the action of its internal parameters, and it is in agreement with the existing experimental results. Therefore, it is a new research hotspot to establish the corresponding nonlinear dynamic model according to the mechanism of physiological system operation to analyze the physiological function of the studied system. Remarkable results have been achieved. Breathing in normal adults is a near-periodic process that automatically regulates motion rhythms, and is now thought to be, The main effects of determining the air flow in and out of the respiratory process (expressed in terms of ventilation volume V (5) in terms of alveolar volume change rate per unit of time) come from two main sources: (1) mechanical action, It includes: (1) the gas flow caused by the difference between atmospheric pressure (0 p) and intraalveolar pressure (P) 0 (35) p=p-p; (2) the effect of alveolar (and airway) deformation on air pressure difference; (2) chemical feedback: the change of concentration of CO2 and O2 in blood is mainly affected by the related receptors. The vagus nerve fed back to the brain's respiratory center, which in turn affected the changes of ventilation V _ (5) in the related respiratory muscles. Based on the physiological structure of human body and the analysis of clinical experimental results, a nonlinear dynamic model of human lung respiratory system was established for the first time. The periodic oscillation solution, the double periodic solution and the chaotic solution are obtained by using the MATLAB computing platform. On the basis of reasonable parameters of the periodic oscillation solution, the partial respiratory disease is simulated by setting the change of the specific channel parameters. The simulation results are obtained, which are suitable for the clinical experimental data. The results show that the values and changes of the parameters obtained from the established nonlinear dynamic model of human lung and respiratory system are in agreement with the experimental results, so the model is reasonable.
【學位授予單位】：東北師范大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：R318;O322
本文編號：2259494
[Abstract]:Respiratory system is an important circulation channel of oxygen storage and transportation. According to the physiological structure of human body, it can be divided into relatively independent and relatively closed circulation system. There is interaction between the parameters in this system and it is in a very complex positive and negative feedback regulation state, which causes oxygen to enter the blood by inhaling air, and the exhalation of carbon dioxide creates negative pressure in the alveoli. In turn, the next cycle of inhale, such as the repeated cycle of respiration, to maintain the survival of human beings. In normal adults, breathing is a rhythmic process, and the regulation and control of positive and negative feedback among the parameters involved in breathing have nonlinear characteristics. Therefore, the theory and method of nonlinear problems can be used to study the interaction between the parameters. Many studies have shown that the establishment of nonlinear dynamic simulation of relatively independent circulatory system in human physiology can better explain the law of the action of its internal parameters, and it is in agreement with the existing experimental results. Therefore, it is a new research hotspot to establish the corresponding nonlinear dynamic model according to the mechanism of physiological system operation to analyze the physiological function of the studied system. Remarkable results have been achieved. Breathing in normal adults is a near-periodic process that automatically regulates motion rhythms, and is now thought to be, The main effects of determining the air flow in and out of the respiratory process (expressed in terms of ventilation volume V (5) in terms of alveolar volume change rate per unit of time) come from two main sources: (1) mechanical action, It includes: (1) the gas flow caused by the difference between atmospheric pressure (0 p) and intraalveolar pressure (P) 0 (35) p=p-p; (2) the effect of alveolar (and airway) deformation on air pressure difference; (2) chemical feedback: the change of concentration of CO2 and O2 in blood is mainly affected by the related receptors. The vagus nerve fed back to the brain's respiratory center, which in turn affected the changes of ventilation V _ (5) in the related respiratory muscles. Based on the physiological structure of human body and the analysis of clinical experimental results, a nonlinear dynamic model of human lung respiratory system was established for the first time. The periodic oscillation solution, the double periodic solution and the chaotic solution are obtained by using the MATLAB computing platform. On the basis of reasonable parameters of the periodic oscillation solution, the partial respiratory disease is simulated by setting the change of the specific channel parameters. The simulation results are obtained, which are suitable for the clinical experimental data. The results show that the values and changes of the parameters obtained from the established nonlinear dynamic model of human lung and respiratory system are in agreement with the experimental results, so the model is reasonable.
【學位授予單位】：東北師范大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：R318;O322
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