利用新的數學模型分析老化與高血壓對腦血流自動調節的影響

Abstract

腦血流自動調節的干擾可能會嚴重影響大腦健康，並可能導致各種疾病，如老化和高血壓。因此，有了病人的血壓和血流量等臨床數據，我們可以利用數學模型來觀察自動調節曲線，並預測疾病的潛在發生。 然而，一氧化氮模型參數過多，使臨床分析和預測變得複雜。出於需要有效處理腦血流自動調節涉及的不同時間尺度的必要，提出了新的數學模型的需求。在擬合參數之後，建立了新的腦血流自動調節曲線，顯著減少了參數的數量。 此外，新的數學模型引入了進行性血管活性功能障礙公式，以觀察不同年齡組的腦血流自動調節。 我們的結果顯示，在新的數學模型中，我們調整了11個參數，顯著減少了總參數數量，同時滿足了自動調節曲線分佈的預期。 在穩態分析中，引入進行性血管活性功能障礙公式後，不同年齡組的自動調節曲線分佈符合預期，使得能夠對不同年齡組的高血壓患者進行可測試的預測。在動態狀態分析中，趨勢保持一致，顯示隨著年齡增長，血管半徑和血流量下降，表明新模型能有效預測老化和高血壓患者的病情。

Disruptions in cerebral blood flow autoregulation can significantly impact brain health, potentially leading to various diseases such as ageing and hypertension. Therefore, with clinical data on a patient's blood pressure and blood flow, we can use mathematical models to observe the autoregulation curve and predict the potential onset of diseases. However, the nitro-oxide model had too many parameters, complicating clinical analysis and predictions. The need for a new mathematical model arises from the necessity to effectively address different time scales involved in cerebral blood flow autoregulation. After fitting the parameters, a new cerebral blood flow autoregulation curve is established, significantly reducing the number of parameters. In addition, the new mathematical model introduces a progressive vasoactive dysfunction formula to observe cerebral blood flow autoregulation across different age groups. Our results show that in the new mathematical model, we adjusted 11 parameters, reducing the total number significantly while meeting expectations for the autoregulation curve's distribution. In steady state analysis, after incorporating the progressive vasoactive dysfunction formula, the distribution of autoregulation curves across different age groups met expectations, allowing testable predictions for hypertensive patients across age groups. In dynamic state analysis, the trends remained consistent, showing a decline in blood vessel radius and blood flow with ageing, indicating the new model can effectively be used to predict conditions in ageing and hypertension patients.