北京生物醫(yī)學(xué)工程

結(jié)合呼吸運(yùn)動的改進(jìn)型多分支心血管系統(tǒng)建模與仿真

Modeling and simulation of improved cardiovascular of system combined with respiration

作者：王末王群劉志文

單位：北京理工大學(xué)信息與電子學(xué)院(北京100081)

關(guān)鍵詞：心血管系統(tǒng)；體循環(huán)；計算機(jī)建模；呼吸運(yùn)動；呼吸性竇性心律不齊

分類號：

出版年·卷·期（頁碼）：2015·34·1（43-49）

摘要：

目的根據(jù)電網(wǎng)絡(luò)模型法提出一個改進(jìn)型的多分支人體心血管系統(tǒng)模型，以深入研究人體心血管及體循環(huán)系統(tǒng)。方法該模型包括心臟、肺循環(huán)、頭頸循環(huán)及四肢循環(huán)，共包括48個微分方程，在此基礎(chǔ)上建立了呼吸運(yùn)動中心肺交互作用的數(shù)學(xué)模型，并應(yīng)用MATLAB軟件中的SIMULINK模塊仿真實(shí)現(xiàn)得到各段血管的血壓及血流量等生理信號。結(jié)果模型可模擬健康及多種心血管疾病的血壓血流狀態(tài)，模擬波形與PhysioBank數(shù)據(jù)庫中實(shí)際生理波形相符，在健康、心力衰竭及動脈粥樣硬化三種條件下，模擬波形的收縮壓(SBP)、舒張壓(DBP)、每搏輸出量(SV)及心輸出量(CO)等生理參數(shù)均符合臨床測量值。將所選數(shù)據(jù)庫中的呼吸信號代入模型后，可直接觀察心率和血壓隨呼吸運(yùn)動的變化規(guī)律：吸氣過程經(jīng)約1.5~2s的延遲后心率代償性加快，呼氣過程則發(fā)生相反的變化趨勢，與實(shí)際心肺交互過程中的呼吸性竇性心律不齊(respiratory sinus arrhythmia, RSA)現(xiàn)象相符。結(jié)論此改進(jìn)型心血管及體循環(huán)系統(tǒng)模型的仿真結(jié)果與臨床實(shí)際數(shù)據(jù)相符，靈活性高，對診斷和治療心血管系統(tǒng)疾病具有重要意義。

Objective A model of cardiovascular and systemic circulation system according to electrical circuit theory is developed for further research of human cardiovascular and systemic circulation system. Methods This model includes heart circulation, head and neck circulation, pulmonary circulation, coronary circulation, abdomen circulation and extremity circulation, composed of 48 mathematical equations. Results Using MATLAB, the simulation for pathological features of the cardiovascular system, such as heart failure and arteriosclerosis, are implemented with the results including systolic blood pressure (SBP), diastolic blood pressure (DBP), stroke volume (SV) and cardiac output (CO) being consistent with human pathological features. Importing the respiratory signal selected from PhysioBank database, the change rules of heart rate and blood pressure along with the respiratory movement are obvious: during the inspiratory process, the heart rate increases after 1.5 to 2 seconds. However, during the expiratory process, the trend is opposite. This result conforms to the actual cardiopulmonary interaction in the process of respiratory sinus arrhythmia (RSA) phenomenon. Conclusions The simulation results of this improved cardiovascular and systemic circulation system model are in conformity with the clinical data. This is important for the diagnosis and treatment of heart diseases.

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