TW201343131A - Method for estimating central aortic blood pressure and apparatus using the same - Google Patents

Method for estimating central aortic blood pressure and apparatus using the same Download PDF

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TW201343131A
TW201343131A TW101129041A TW101129041A TW201343131A TW 201343131 A TW201343131 A TW 201343131A TW 101129041 A TW101129041 A TW 101129041A TW 101129041 A TW101129041 A TW 101129041A TW 201343131 A TW201343131 A TW 201343131A
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pressure
blood pressure
frequency
phase
waveform
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TWI498098B (en
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Chen-Huan Chen
Hao-Min Cheng
Shih-Hsien Sung
Yuan-Ta Shih
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Microlife Corp
Univ Nat Yang Ming
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Abstract

The present invention relates to a method for estimating central aortic blood pressures. An oscillometric waveform is derived from a pressure cuff. An aortic-to-brachial (A2B) pressure waveforms generalized transfer function is established. An aortic pressure waveform is reconstructed by the generalized transfer function according to the oscillometric waveform. Therefore, aortic blood pressures are obtained by the aortic pressure waveform. The present invention also relates to an apparatus capable of estimating central aortic blood pressures by using the foregoing method.

Description

中央動脈血壓估計方法及其裝置 Central arterial blood pressure estimation method and device thereof

本發明係有關於一種中央動脈血壓估計方法及其裝置,尤指一種根據壓脈帶內壓力振盪波形及應用轉換函數以估計中央動脈血壓之方法及其裝置。 The present invention relates to a method and apparatus for estimating central blood pressure, and more particularly to a method and apparatus for estimating central blood pressure based on a pressure oscillation waveform in a cuff and a transfer function.

常見血壓的診斷是利用上臂動脈的收縮壓(Systolic Blood Pressure;SBP)及舒張壓(Diastolic Blood Pressure;DBP)來決定,又上臂動脈血液壓力數值(包括收縮壓及舒張壓等)的測量多是使用傳統水銀柱或電子血壓計來量測。然而許多的文獻及研究指出,中央動脈(Central Aorta)所記錄到的血液收縮壓(SBP-C)與流行病學間的相關度比由上臂動脈所量測到的數值要高出許多。 The diagnosis of common blood pressure is determined by the Systolic Blood Pressure (SBP) and Diastolic Blood Pressure (DBP) of the upper arm artery, and the blood pressure values of the upper arm artery (including systolic blood pressure and diastolic blood pressure) are mostly measured. Use a traditional mercury column or an electronic sphygmomanometer to measure. However, many literatures and studies have pointed out that the correlation between blood systolic blood pressure (SBP-C) and epidemiology recorded by Central Aorta is much higher than that measured by the upper arm artery.

舉例而言,高血壓病人之中央動脈的血流動力學經常呈現異常,亦即存在反射波的增強、脈波傳導速度的增加及順從性的降低等現象。中央動脈的壓力已經被證明是高血壓病人臨床的重要預測因素。傳統或電子的血壓計所量測的肱動脈血壓數值為周邊動脈血壓,通常顯著高於中央動脈之血壓,例如:升主動脈或頸動脈所測量到的壓力數值。換言之,如果可以準確的得到中央動脈的血液收縮壓,對於預測高血壓及相關的心血管疾病會有更顯著的效果。 For example, the hemodynamics of the central artery of hypertensive patients often exhibit abnormalities, that is, there are enhancements of reflected waves, an increase in pulse wave velocity, and a decrease in compliance. Central arterial pressure has been shown to be an important predictor of clinical outcomes in hypertensive patients. The value of the brachial artery blood pressure measured by a conventional or electronic sphygmomanometer is peripheral arterial blood pressure, which is usually significantly higher than that of the central artery, such as the pressure measured by the ascending aorta or carotid artery. In other words, if the blood systolic blood pressure of the central artery can be accurately obtained, it will have a more significant effect on predicting hypertension and related cardiovascular diseases.

關於上述中央動脈血液收縮壓的測量,大致上可 以分為兩種主要的方式來取得:(1)侵入性的直接測量;(2)非侵入性的間接預測。侵入性的直接量測所取得之中央動脈血液收縮壓的數值相當準確,但需要耗費許多的資源,甚至可能引發一些不良副作用,例如:血栓等。非侵入性預測中央動脈收縮壓的方法或裝置已經被發展多年,例如:型號SphygmoCor之裝置(由AtCor Medical Pty Limited生產)、型號HEM-9000AI之裝置(由Omron Healthcare Europe生產)、型號Arteriograph之裝置(由TensioMed Ltd生產)及由ARCSolver提出之演算法等。 Regarding the measurement of the above-mentioned central arterial blood systolic pressure, it is roughly It is divided into two main ways: (1) direct measurement of invasiveness; (2) non-invasive indirect prediction. The value of the central arterial blood systolic blood pressure obtained by invasive direct measurement is quite accurate, but it requires a lot of resources and may even cause some adverse side effects such as thrombosis. A method or apparatus for non-invasively predicting central systolic blood pressure has been developed for many years, for example, a device of the model SphygmoCor (manufactured by AtCor Medical Pty Limited), a device of model HEM-9000AI (manufactured by Omron Healthcare Europe), a device of the model Arteriograph (produced by TensioMed Ltd) and algorithms proposed by ARCSolver.

型號SphygmoCor之裝置是根據手腕動脈與中央動脈(Aorta-to-Radial;A2R)血壓波形,並應用廣義的轉換函式(Generalized Transfer Function;GTF)作中央動脈血壓波形的預測,其中手腕動脈血壓波形是由壓力記錄器(arterial tonometer)所取得。並藉由電子血壓計在上臂動脈所測定的收縮壓及舒張壓,對該記錄的手腕動脈血壓波形進一步作壓力校正,之後將校正後的手腕動脈血壓波形代入A2R-GTF,即可獲得預測的中央動脈血壓波形。此裝置雖然經過了多篇文獻的支持及驗證,但操作壓力記錄器的人員需要受過專業的訓練始能獲得穩定及正確的手腕動脈血壓波形,且此裝置的價格昂貴。又型號HEM-9000AI之裝置的操作方式與上述SphygmoCor十分相似,同樣需要操作壓力記錄器的專業人員始能進行相關步驟。 The SphygmoCor device is based on the blood pressure waveform of the wrist and central artery (Aorta-to-Radial; A2R) and uses the generalized transfer function (GTF) for the prediction of the central arterial blood pressure waveform, in which the wrist artery blood pressure waveform It is obtained by an arterial tonometer. The systolic blood pressure and diastolic blood pressure measured by the electronic sphygmomanometer in the upper arm artery are further corrected by pressure on the recorded wrist artery blood pressure waveform, and then the corrected wrist artery blood pressure waveform is substituted into the A2R-GTF to obtain a predicted result. Central arterial blood pressure waveform. Although the device has been supported and verified by many documents, the personnel who operate the pressure recorder need to be trained to obtain a stable and correct waveform of the wrist artery blood pressure, and the device is expensive. The device of the model HEM-9000AI is operated in much the same way as the above-mentioned SphygmoCor, and it is also necessary for the professional who operates the pressure recorder to perform the relevant steps.

型號Arteriograph之裝置則是於電子血壓計量測過程中,利用壓脈帶(Cuff)所記錄到的脈波容積記錄(Pulse Volume Recording;PVR)波形作特徵點的分析。此裝置預測中央動脈血壓波形的方式與上述HEM-9000AI相似,均採用回歸分析以預測中央動脈收縮壓之數值。由於PVR的訊號會隨著壓脈帶的固有特性而有不同表現,所以前述波形之特徵點會因不同壓脈帶而改變,亦即相同之回歸分析模型無法廣泛地適用於其他電子血壓計。又型號ARCSolver型號裝置是利用類神經網路(Artificial Neuro-network)的演算方法,並加以訓練以得到最佳化的參數。其缺點則是與上述Arteriograph相似,若使用不同的壓脈帶則是需要重新進行類神經網路的訓練,才能獲得最佳化的參數以作中央動脈血壓波形的預測。 The model Arteriograph device uses the Pulse Volume Recording (PVR) waveform recorded by the Cuff to analyze the feature points during the electronic blood pressure measurement process. This device predicts the central arterial blood pressure waveform in a similar manner to the HEM-9000AI described above, and uses regression analysis to predict the value of central systolic blood pressure. Since the signal of the PVR will behave differently with the inherent characteristics of the venous zone, the characteristic points of the aforementioned waveforms will change due to different venous bands, that is, the same regression analysis model cannot be widely applied to other electronic sphygmomanometers. Another model of the ARCSolver model is an algorithm based on Artificial Neuro-network and trained to optimize the parameters. The disadvantage is similar to the Arteriograph described above. If different cuffs are used, it is necessary to re-train the neural network to obtain optimized parameters for the prediction of the central arterial blood pressure waveform.

針對上述先前技術所遭遇之問題,本發明提出一種強健(robust)之中央動脈血壓的預測方法,及使用此種方法能正確估計中央動脈血壓及易於操作之裝置。 In view of the problems encountered in the prior art described above, the present invention proposes a method for predicting a robust central arterial blood pressure, and a device capable of correctly estimating central arterial blood pressure and being easy to operate using such a method.

本發明係提供一種中央動脈血壓估計方法及其裝置。此種估計技術可廣泛應用於目前市售電子血壓計,預測結果不因電子血壓計之壓脈帶不同,而產生不可接受之變異。 The present invention provides a method for estimating central blood pressure and a device therefor. Such estimation techniques can be widely applied to currently commercially available electronic sphygmomanometers, and the predicted results are not due to the different varicose veins of the electronic sphygmomanometer, resulting in unacceptable variations.

本發明係提供一種中央動脈血壓估計方法,包 含:擷取壓脈帶內一壓力振盪波形;建立一中央動脈對肱動脈血壓波形之廣義轉換函數;根據該壓力振盪波形並使用該廣義轉換函數產生一中央動脈壓力波形;以及根據該中央動脈壓力波形得到中央動脈之壓力值。 The invention provides a method for estimating central blood pressure, which comprises Including: drawing a pressure oscillation waveform in the cuff; establishing a generalized transfer function of the central artery to the brachial blood pressure waveform; generating a central arterial pressure waveform according to the pressure oscillation waveform and using the generalized transfer function; and according to the central artery The pressure waveform gives the pressure value of the central artery.

在一種實施型態中,該壓力振盪波形包括一脈波容積紀錄波形。該脈波容積紀錄波形係控制該壓脈帶於一固定壓力下所得到之壓力訊號。 In one embodiment, the pressure oscillation waveform comprises a pulse volume recording waveform. The pulse volume recording waveform controls the pressure signal obtained by the pressure pulse at a fixed pressure.

在一種實施型態中,該廣義轉換函數係一組傅立葉轉換函數、一組快速傅立葉轉換函數或一組時域對頻域轉換函數。該組傅立葉轉換函數或該組快速傅立葉轉換函數係離散傅立葉轉換函數。 In one implementation, the generalized transfer function is a set of Fourier transform functions, a set of fast Fourier transform functions, or a set of time domain versus frequency domain transfer functions. The set of Fourier transform functions or the set of fast Fourier transform functions is a discrete Fourier transform function.

在上述一種實施型態中,該離散傅立葉轉換函數僅採一預定頻率以下之正弦波分量或餘弦波分量合成該壓力振盪波形。該預定頻率以下之各分量分別對應固定之大小(magnitude)及相位(phase)。 In one embodiment described above, the discrete Fourier transform function synthesizes the pressure oscillation waveform using only a sine wave component or a cosine wave component below a predetermined frequency. The components below the predetermined frequency correspond to a fixed magnitude and a phase, respectively.

在一種實施型態中,該中央動脈係指頸動脈或升主動脈。該中央動脈之壓力值包括收縮壓與舒張壓之壓差、收縮壓、平均血壓及舒張壓。 In one embodiment, the central artery refers to the carotid artery or the ascending aorta. The pressure values of the central artery include the pressure difference between systolic blood pressure and diastolic blood pressure, systolic blood pressure, mean blood pressure, and diastolic blood pressure.

本發明係再提供一種中央動脈血壓估計裝置,包含:一壓脈帶;一訊號紀錄及儲存單元,擷取並儲存該壓脈帶內一壓力振盪波形;以及一運算及分析單元,根據該壓力振盪波形並以一中央動脈對肱動脈血 壓波形之廣義轉換函數產生一中央動脈壓力波形,並根據該中央動脈壓力波形得到中央動脈之壓力值。 The invention further provides a central arterial blood pressure estimating device, comprising: a pressure pulse band; a signal recording and storage unit for extracting and storing a pressure oscillation waveform in the pressure pulse band; and an operation and analysis unit, according to the pressure Oscillating the waveform and using a central artery to treat the brachial artery blood The generalized transfer function of the pressure waveform produces a central arterial pressure waveform and the pressure value of the central artery is obtained from the central arterial pressure waveform.

底下藉由具體實施例詳加說明,當更容易瞭解本發明之目的、技術內容、特點及其所達成之功效。 The purpose, technical content, features and effects achieved by the present invention will be more readily understood by the detailed description of the embodiments.

本發明係根據電子血壓計於測量血壓過程中所記錄的壓脈帶內壓力振盪波形,並藉由一組轉換函數以預測中央動脈(係指頸動脈或升主動脈)壓力波形,如此可以得到相當近似中央動脈之血壓值,從而正確診斷高血壓及相關的心血管疾病之發生。 The invention is based on an intravascular pressure oscillation waveform recorded by an electronic sphygmomanometer during blood pressure measurement, and predicts a pressure waveform of a central artery (referring to a carotid artery or an ascending aorta) by a set of transfer functions, so that Quite similar to the blood pressure of the central artery, so as to correctly diagnose the occurrence of hypertension and related cardiovascular diseases.

圖1係為本發明之中央動脈血壓估計裝置之方塊圖。中央動脈血壓估計裝置10包括壓脈帶11、訊號紀錄及儲存單元12、壓力變化調控單元13及運算及分析單元14,其中訊號紀錄及儲存單元12與運算及分析單元14可以整合至單一IC晶片元件。在其他實施例中,訊號紀錄及儲存單元12與運算及分析單元14亦可分別由多個IC晶片元件進行次單元功能之處理,故不受本實施例及圖式之例示限制。熟此技術者當知,訊號紀錄及儲存單元12中儲存功能係可為一記憶體。 1 is a block diagram of a central arterial blood pressure estimating device of the present invention. The central arterial blood pressure estimating device 10 includes a cuff 11 , a signal recording and storage unit 12 , a pressure change control unit 13 and an operation and analysis unit 14 , wherein the signal recording and storage unit 12 and the arithmetic and analysis unit 14 can be integrated into a single IC chip. element. In other embodiments, the signal recording and storage unit 12 and the arithmetic and analysis unit 14 can also perform the processing of the sub-unit functions by a plurality of IC chip components, and thus are not limited by the examples and the drawings. As is known to those skilled in the art, the storage function in the signal recording and storage unit 12 can be a memory.

壓脈帶11係用於固定於使用者之上臂,以擷取壓脈帶內壓力振盪波形S。在本實施例中,該壓力振盪波形包括PVR波形。 The cuff 11 is used to be fixed to the upper arm of the user to capture the pressure oscillation waveform S in the cuff. In this embodiment, the pressure oscillation waveform includes a PVR waveform.

訊號紀錄及儲存單元12擷取該壓力振盪波形S, 並儲存該壓力振盪波形S。 The signal recording and storage unit 12 captures the pressure oscillation waveform S, And storing the pressure oscillation waveform S.

壓力變化調控單元13可控制壓脈帶11內之增壓、維持壓力或減壓。在此需特別說明的是,壓力變化調控單元13可控制壓脈帶11內之壓力,於一段時間內維持恆定一固定壓力。在本實施例中,壓力變化調控單元13可控制壓脈帶11內之壓力,於約持續30秒,維持恆定60 mmHg,但本發明並不以此為限。熟此技術者當知,壓脈帶內壓力可調整在40-70 mmHg之間。 The pressure change regulating unit 13 can control the pressurization, maintenance pressure or decompression in the cuff 11 . It should be particularly noted here that the pressure change regulating unit 13 can control the pressure in the cuff 11 to maintain a constant fixed pressure for a period of time. In the present embodiment, the pressure change regulating unit 13 can control the pressure in the cuff 11 to maintain a constant 60 mmHg for about 30 seconds, but the invention is not limited thereto. It is known to those skilled in the art that the pressure in the cuff can be adjusted between 40 and 70 mmHg.

運算及分析單元24根據該壓力振盪波形或PVR波形,並經由A2B-GTF產生或預測中央動脈壓力波形,根據該中央動脈壓力波形得到中央動脈之壓力值BP。 The calculation and analysis unit 24 generates or predicts a central artery pressure waveform via the A2B-GTF based on the pressure oscillation waveform or the PVR waveform, and obtains a central artery pressure value BP based on the central artery pressure waveform.

圖2係為本發明之中央動脈血壓估計方法之流程圖。本估計方法係應用於上述中央動脈血壓估計裝置10,或可應用於一般電子血壓計以增進其功能。如步驟S21所示,將電子血壓計之壓脈帶固定於一使用者之上臂,以擷取壓脈帶內壓力振盪波形。該壓力振盪波形的分析技術,包括動態振盪波形分析(壓脈帶於壓力下降過程所紀錄的振盪波形)以及靜態振盪波形分析(壓脈帶壓力下降至某一固定壓力時所紀錄的振盪波形,亦即所謂的脈波容積紀錄(pulse volume recording;PVR)波形)。 2 is a flow chart of a method for estimating a central artery blood pressure according to the present invention. The present estimation method is applied to the above-described central arterial blood pressure estimating device 10, or can be applied to a general electronic blood pressure monitor to enhance its function. As shown in step S21, the cuff of the electronic sphygmomanometer is fixed to the upper arm of a user to capture the pressure oscillation waveform in the cuff. The analysis technique of the pressure oscillation waveform includes dynamic oscillation waveform analysis (the oscillation waveform recorded by the pressure pulse in the pressure drop process) and the static oscillation waveform analysis (the oscillation waveform recorded when the pressure of the pressure band drops to a certain fixed pressure, Also known as pulse volume recording (PVR) waveforms.

一般電子血壓計在量測上臂動脈血壓(該上臂動 脈血壓數值包括收縮壓、平均血壓、舒張壓及心跳速度)的過程後,將包附上臂的壓脈帶內壓力調整到恆定的60毫米汞柱。此時,血液在通過上臂動脈,會造成上臂表面積增加並對抗由壓脈帶所施加的壓力。而壓脈帶則會因為上臂表面積的增加以及受到壓力的對抗進而造成容積的改變,當壓脈帶的容積縮小之後則會造成壓脈帶裡壓力的變化,此變化則稱為PVR波形。一般認為,此PVR波形與實際上臂動脈血壓波形間有極大的相關性,但會因為不同壓脈帶的特性造成PVR波形上局部特徵點改變,而影響中央動脈血壓估計之準確性。本發明藉由結合下列步驟,故能提升預測之準確性,並且不因壓脈帶的特性不同,而影響預測結果之準確性。 The general electronic sphygmomanometer measures the upper arm arterial blood pressure (the upper arm moves) After the blood pressure values include systolic blood pressure, mean blood pressure, diastolic blood pressure, and heart rate, the pressure in the cuff of the upper arm is adjusted to a constant 60 mmHg. At this point, blood passing through the upper arm artery causes an increase in the upper arm surface area and against the pressure exerted by the cuff. The pressure band will change the volume due to the increase of the upper arm surface area and the pressure. When the volume of the pressure band is reduced, the pressure in the cuff is changed. This change is called the PVR waveform. It is generally believed that there is a great correlation between the PVR waveform and the actual brachial artery blood pressure waveform, but the local feature points on the PVR waveform are changed due to the characteristics of different venous bands, which affects the accuracy of the central arterial blood pressure estimation. The present invention can improve the accuracy of prediction by combining the following steps, and does not affect the accuracy of the prediction result due to the different characteristics of the cuff.

接著,參見步驟S22,藉由多位受試者接受侵入性測量所得血壓訊號,以建立一中央動脈對上臂動脈血壓波形之廣義轉換函數(aortic-to-brachial generalized transfer function;A2B-GTF)。在本實施例中,該廣義轉換函數係可為一組傅立葉轉換函數(Fourier transfer fuction)、一組快速傅立葉轉換函數或類似一組時域(time domain)對頻域(frequency domain)轉換函數,但本發明並不以此為限。本實施例所採之A2B-GTF則是經由侵入性的導管手術,而同步記錄受試者中央動脈波形及上臂動脈之兩種壓力波形,而後再由快速傅利葉轉換(Fast Fourier Transfer)計算而 得。上述說明,可參見美國專利US 5,265,011,Michael F O’Rourke所提出的方式。建立該函數模型之程序及驗證方法將詳述如後。 Next, referring to step S22, a plurality of subjects receive an invasive measurement of the blood pressure signal to establish an aortic-to-brachial generalized transfer function (A2B-GTF). In this embodiment, the generalized transfer function may be a set of Fourier transfer functions, a set of fast Fourier transform functions, or a similar set of time domain versus frequency domain transfer functions. However, the invention is not limited thereto. The A2B-GTF taken in this embodiment is an invasive catheter operation, and simultaneously records two pressure waveforms of the central artery waveform and the upper arm artery of the subject, and then is calculated by Fast Fourier Transfer. Got it. The above description can be found in the manner proposed by Michael F O’Rourke, U.S. Patent No. 5,265,011. The procedure for establishing the function model and the verification method will be detailed later.

然後,再將步驟S21中所得壓力振盪波形,以步驟S22所建立之A2B-GTF,進行中央動脈壓力波形預測,如步驟S23所示。在本實施例中,該壓力振盪波形包括PVR波形。本實施例A2B-GTF中,離散傅立葉轉換函數(Discrete Fourier Transform;DFT)將PVR波形轉換成其各個頻率的正弦波分量或餘弦波分量,如果該波形可以表示成x[n],n=0~N-1,那麼DFT的公式可表示如下(下列所列之公式及反推(inverse)公式僅為例示,並不限制本發明之實施,類似時域對頻域轉換函數均為保護範圍): 其中,X[k]所代表的資訊是k的函數,而k直接和頻率有正比關係。因此,這些係數X[k]通稱為「頻譜」(Spectrum),而對於X[k]的分析通稱為「頻譜分析」(Spectral Analysis)。故可由這些傅立葉係數X[k],來反推或預測中央動脈壓力波形x[n],如下: 其中,如果中央動脈壓力波形x[n]有N點,那麼轉換 出來的訊號X[k]也會有N點。一般而言,X[k]是一個複數,其大小(magnitude)是|(X[k])|,其相位(phase)是∠X[k]。又本實施例提供一組A2B-GTF之較佳參數為:頻率0 Hz,其對應之大小為1.00及相位為0.00弧度;頻率1 Hz,其對應之大小為1.04及相位為0.18弧度;頻率2 Hz,其對應之大小為1.26及相位為0.33弧度;頻率3 Hz,其對應之大小為1.76及相位為0.36弧度;頻率4 Hz,其對應之大小為2.08及相位為-0.06弧度;頻率5 Hz,其對應之大小為1.68及相位為-0.26弧度;頻率6 Hz,其對應之大小為1.97及相位為-0.15弧度;頻率7 Hz,其對應之大小為1.98及相位為-0.47弧度;頻率8 Hz,其對應之大小為1.24及相位為-0.44弧度;頻率9 Hz,其對應之大小為1.32及相位為-0.21弧度,然本發明並不受此組參數之表示限制保護範圍。該組較佳參數亦可如列示如下表: Then, the pressure oscillation waveform obtained in step S21 is further subjected to the central artery pressure waveform prediction by the A2B-GTF established in step S22, as shown in step S23. In this embodiment, the pressure oscillation waveform includes a PVR waveform. In the A2B-GTF of the embodiment, the Discrete Fourier Transform (DFT) converts the PVR waveform into a sine wave component or a cosine wave component of each frequency, if the waveform can be expressed as x[n], n=0. ~N-1, then the formula of DFT can be expressed as follows (the formulas listed below and the inverse formula are merely examples, and do not limit the implementation of the present invention, similar time domain to frequency domain transfer function are protection range) : Among them, the information represented by X[k] is a function of k, and k is directly proportional to the frequency. Therefore, these coefficients X[k] are generally referred to as "Spectrum", and the analysis for X[k] is commonly referred to as "Spectral Analysis". Therefore, these Fourier coefficients X[k] can be used to reverse or predict the central arterial pressure waveform x[n] as follows: Among them, if the central arterial pressure waveform x[n] has N points, then the converted signal X[k] will also have N points. In general, X[k] is a complex number whose magnitude is |(X[k])| and its phase is ∠X[k]. In this embodiment, the preferred parameters of the A2B-GTF are: frequency 0 Hz, the corresponding size is 1.00 and the phase is 0.00 radians; the frequency is 1 Hz, and the corresponding size is 1.04 and the phase is 0.18 radians; frequency 2 Hz, the corresponding size is 1.26 and the phase is 0.33 radians; the frequency is 3 Hz, the corresponding size is 1.76 and the phase is 0.36 radians; the frequency is 4 Hz, the corresponding size is 2.08 and the phase is -0.06 radians; frequency 5 Hz The corresponding size is 1.68 and the phase is -0.26 radians; the frequency is 6 Hz, the corresponding size is 1.97 and the phase is -0.15 radians; the frequency is 7 Hz, the corresponding size is 1.98 and the phase is -0.47 radians; frequency 8 Hz, which corresponds to a size of 1.24 and a phase of -0.44 radians; a frequency of 9 Hz, which corresponds to a size of 1.32 and a phase of -0.21 radians, although the invention is not limited by the set of parameters. The preferred parameters of the group can also be listed as follows:

最後,參見步驟S24,根據上述預測之中央動脈壓力波形,可得到中央動脈之壓力值BP。在本實施例中,中央動脈之壓力值BP係為收縮壓,但熟此技術者當知,預測壓力值亦可為收縮壓與舒張壓之壓差、平均血壓、舒張壓或其他醫學臨床上可參考的壓力值。 Finally, referring to step S24, the pressure value BP of the central artery can be obtained based on the predicted central artery pressure waveform. In this embodiment, the pressure value BP of the central artery is systolic blood pressure, but those skilled in the art know that the predicted pressure value may also be the pressure difference between systolic blood pressure and diastolic blood pressure, mean blood pressure, diastolic blood pressure or other medical clinically. The pressure value that can be referenced.

綜上所述,本發明將上述廣義的轉換函數應用於一般市售電子血壓計所得到的PVR波形訊號,並根據此PVR波形訊號作中央動脈血壓數值的預測。因此能避免先前技術中需使用限制由專業人員操作之多種儀器所造成之不便利,且一併改善不同壓脈帶所造成PVR波形訊號的變異性,故可將本發明中央動脈血壓數值的評估技術推廣至一般的居家照護及臨床門診上。 In summary, the present invention applies the above generalized conversion function to the PVR waveform signal obtained by a commercially available electronic sphygmomanometer, and predicts the value of the central arterial blood pressure based on the PVR waveform signal. Therefore, it can avoid the inconvenience caused by the limitation of various instruments operated by professionals in the prior art, and improve the variability of the PVR waveform signal caused by different cuffs, so the evaluation of the central artery blood pressure value of the present invention can be performed. The technology is extended to general home care and clinical clinics.

A2B-GTF模型之建立Establishment of A2B-GTF model

本實施例係使用2F的客製化高傳真壓力波形紀錄導管(model SSD-1059,Millar Instruments Inc.,U.S.A.)執行侵入性的直接測量,該導管內部包含兩個壓力記錄探頭,同時植入受試者的中央動脈以記錄中央動脈壓力波形及右手臂動脈記錄上臂動脈壓力波形。另外相同受試者之左邊手臂包覆一壓脈帶,並於恆定壓下(例如:平均60 mmHg)記錄壓脈帶內之PVR訊號約持續30秒,一併記錄上臂收縮壓及舒張壓。 This example performs a direct invasive measurement using a 2F customized high-fidelity pressure waveform recording catheter (model SSD-1059, Millar Instruments Inc., USA) containing two pressure recording probes inside, simultaneously implanted The central artery of the tester recorded the waveform of the central arterial pressure and the waveform of the upper arm artery recorded by the right arm artery. In addition, the left arm of the same subject was covered with a cuff, and the PVR signal in the cuff was recorded for about 30 seconds under a constant pressure (for example, an average of 60 mmHg), and the upper arm systolic pressure and diastolic pressure were recorded together.

各受試者測量所得的中央動脈壓力波形與上臂動脈壓力波形利用快速傅立葉(FFT)作獨立的A2B-ITF(Aorta to brachial individual transfer function;A2B-ITF),再將40位受試者的A2B-ITF平均而得上述A2B-GTF,此實施例之A2B-GTF為固定參數,如表一所示。因高頻率部分的正弦波或餘弦波分量對波形合成之貢獻很少,故表一中所列之頻率係0~9Hz,然其他實施例亦可以考慮加入高於9Hz之正弦波分量。本實施例於後續預測中央動脈壓力波形可以採用0~9Hz之所有正弦波分量,或採用其中低頻率部分之正弦波分量(例如:0~4Hz)預測波形。 The central arterial pressure waveform measured by each subject and the upper arm arterial pressure waveform were independently A2B-ITF (A2B-ITF), and 40 subjects were A2B. -ITF averages the above A2B-GTF, and the A2B-GTF of this embodiment is a fixed parameter, as shown in Table 1. Since the sine wave or cosine wave component of the high frequency portion contributes little to the waveform synthesis, the frequencies listed in Table 1 are 0 to 9 Hz. However, other embodiments may consider adding a sine wave component higher than 9 Hz. In this embodiment, the sinusoidal component of 0 to 9 Hz may be used in the subsequent prediction of the central arterial pressure waveform, or the sinusoidal component (for example, 0 to 4 Hz) of the low frequency portion may be used to predict the waveform.

A2B-GTF模型之驗證Verification of A2B-GTF model

圖3A及3B為本發明所提出之A2B-GTF與先前Karamanoglu等人提出文獻中轉換函數作比較。此實施例之A2B-GTF係使用表一所示之參數組,曲線振幅(amplitude)之最高點發生於4Hz處,其伴隨變異之標準差很小,尤其小於4Hz之標準差更是微小。參見圖3A,A2B-GTF之大小頻譜(magnitude spectrum)係和Karamanoglu之大小頻譜相當近似,特別是1~3Hz之部分大致重疊。 3A and 3B are comparisons of the A2B-GTF proposed by the present invention with the conversion function previously proposed by Karamanoglu et al. The A2B-GTF of this embodiment uses the parameter set shown in Table 1. The highest point of the amplitude of the curve occurs at 4 Hz, and the standard deviation accompanying the variation is small, especially the standard deviation of less than 4 Hz is even smaller. Referring to FIG. 3A, the magnitude spectrum of the A2B-GTF is quite similar to the size spectrum of the Karamanoglu, and in particular, the portions of 1 to 3 Hz are substantially overlapped.

將上述A2B-GTF及其參數組應用於兩種型號Microlife WatchBP Office及Omron VP-2000之電子血壓計上,此兩種血壓計皆為市售之電子血壓計。受試 者都是同時接受高傳真壓力波形記錄導管記錄中央動脈壓力波形,以及左手臂於定壓下(例如:平均60 mmHg,但不限制於此壓力值)記錄壓脈帶內之PVR訊號。採用Microlife WatchBP Office之電子血壓計的受試者為40人,又採用Omron VP-2000之電子血壓計的受試者為100人。所記錄到的PVR訊號則由電子血壓計所測得的收縮壓及舒張壓作壓力之校正,並利用上述A2B-GTF作中央動脈壓力波形的預測。 The above A2B-GTF and its parameter sets were applied to two types of electronic blood pressure monitors, Microlife Watch BP Office and Omron VP-2000, both of which are commercially available electronic blood pressure monitors. Test Both of them received a high-fidelity pressure waveform recording catheter to record the central arterial pressure waveform, and the left arm recorded the PVR signal in the cuff zone under constant pressure (for example, an average of 60 mmHg, but not limited to this pressure value). The number of subjects using the Microlife WatchBP Office electronic sphygmomanometer was 40, and the number of subjects using the Omron VP-2000 electronic sphygmomanometer was 100. The recorded PVR signal is corrected by the systolic blood pressure and diastolic blood pressure measured by the electronic sphygmomanometer, and the A2B-GTF is used as the prediction of the central arterial pressure waveform.

預測所得到的中央動脈壓力波形取其最大值並與同步記錄的實際中央動脈之收縮壓(systolic blood pressure at central aorta;SBP-C)作比較,如圖4A及4B分別顯示本發明應用於Microlife及Omron之電子血壓計均得到良好之預測結果。經過統計方法計算,圖4A顯示為本發明應用於Microlife WatchBP Office之電子血壓計,所預測中央動脈之收縮壓和實際收縮壓間誤差之平均值(mean)±標準差(SD)為-2.9±7.2 mmHg(全距(Range)R=0.94)。圖4B顯示為本發明應用於Omron VP-2000電子血壓計,所預測中央動脈之收縮壓和實際收縮壓間誤差之平均值(mean)±標準差(SD)為-2.1±7.7 mmHg(R=0.93)。圖中各點之誤差值皆為預測之中央動脈收縮壓減去同步實際測量之中央動脈收縮壓。上述驗證結果證明了本發明A2B-GTF及其參數組是適用於不同市售電子血壓計上,亦即可以和該等電子血壓計結合以正確預測中央動脈之血壓 值,並不會因為壓脈帶的不同而影響了預測的準確性。 The predicted central arterial pressure waveform is taken to be its maximum value and compared with the systolic blood pressure at central aorta (SBP-C) recorded synchronously. Figures 4A and 4B show the application of the present invention to Microlife, respectively. Both Omron's electronic sphygmomanometers have good predictive results. After statistical calculation, FIG. 4A shows an electronic sphygmomanometer used in the Microlife Watch BP Office of the present invention. The mean value of the systolic pressure and the actual systolic pressure between the predicted central arteries (mean) ± standard deviation (SD) is -2.9 ± 7.2 mmHg (Range R = 0.94). Figure 4B shows the mean (mean) ± standard deviation (SD) of the predicted systolic pressure and actual systolic pressure of the central artery applied to the Omron VP-2000 electronic sphygmomanometer as -2.1 ± 7.7 mmHg (R = 0.93). The error values for each point in the graph are the predicted central systolic pressure minus the central measured systolic blood pressure. The above verification results prove that the A2B-GTF and its parameter set of the present invention are applicable to different commercially available electronic sphygmomanometers, that is, can be combined with the electronic sphygmomanometers to correctly predict the blood pressure of the central artery. The value does not affect the accuracy of the prediction due to the difference in the pressure band.

以上已針對較佳實施例來說明本發明,唯以上所述者,僅係為使熟悉本技術者易於了解本發明的內容而已,並非用來限定本發明之權利範圍。在本發明下,熟悉本技術者可以思及各種等效變化。例如,波形訊號之處理或校正順序。又,中央動脈血壓估計裝置20之方塊圖,可插置或增加其他功能方塊,但不會影響本發明技術內容,例如:濾波器或顯示預測數值之螢幕等。 The present invention has been described with reference to the preferred embodiments thereof, and the present invention is not intended to limit the scope of the present invention. Under the present invention, various equivalent changes can be considered by those skilled in the art. For example, the processing or correction sequence of waveform signals. Moreover, the block diagram of the central arterial blood pressure estimating device 20 can insert or add other functional blocks without affecting the technical content of the present invention, such as a filter or a screen displaying predicted values.

10‧‧‧中央動脈血壓估計裝置 10‧‧‧ Central Arterial Blood Pressure Estimation Device

11‧‧‧壓脈帶 11‧‧‧Curve belt

12‧‧‧訊號紀錄及儲存單元 12‧‧‧Signal Record and Storage Unit

13‧‧‧壓力變化調控單元 13‧‧‧ Pressure Change Control Unit

14‧‧‧運算及分析單元 14‧‧‧Operation and Analysis Unit

BP‧‧‧中央動脈之壓力值 BP‧‧‧Central arterial pressure value

S‧‧‧壓力振盪波形 S‧‧‧ pressure oscillation waveform

S21,S22,S23,S24‧‧‧步驟 S21, S22, S23, S24‧‧ steps

圖1係為本發明之中央動脈血壓估計裝置之方塊圖。 1 is a block diagram of a central arterial blood pressure estimating device of the present invention.

圖2係為本發明之中央動脈血壓估計方法之流程圖。 2 is a flow chart of a method for estimating a central artery blood pressure according to the present invention.

圖3A係為本發明所提出之A2B-GTF與先前Karamanoglu等人提出文獻中轉換函數作大小頻譜比較圖。 Fig. 3A is a graph comparing the size spectrum of the A2B-GTF proposed by the present invention with the conversion function proposed by the previous Karamanoglu et al.

圖3B係為本發明所提出之A2B-GTF與先前Karamanoglu等人提出文獻中轉換函數作相位頻譜比較圖。 Fig. 3B is a phase spectrum comparison diagram of the A2B-GTF proposed by the present invention and the conversion function proposed by the previous Karamanoglu et al.

圖4A係為本發明應用於Microlife WatchBP Office之電子血壓計之預測中央動脈之收縮壓和實際收縮壓間誤差統計圖。 4A is a statistical diagram of the systolic blood pressure and the actual systolic pressure error of the predicted central artery applied to the electronic sphygmomanometer of the Microlife Watch BP Office of the present invention.

圖4B係為本發明應用於Omron VP-2000之電子血壓計之預測中央動脈之收縮壓和實際收縮壓間誤差統計圖。 Fig. 4B is a statistical diagram of the systolic blood pressure and the actual systolic pressure error of the predicted central artery of the electronic sphygmomanometer applied to the Omron VP-2000 of the present invention.

S21,S22,S23,S24‧‧‧步驟 S21, S22, S23, S24‧‧ steps

Claims (21)

一種中央動脈血壓估計方法,包含:擷取壓脈帶內一壓力振盪波形;建立一中央動脈對上臂動脈血壓波形之廣義轉換函數;根據該壓力振盪波形並使用該廣義轉換函數產生一中動脈壓力波形;以及根據該中央動脈壓力波形得到中央動脈之壓力值。 A method for estimating a central arterial blood pressure, comprising: drawing a pressure oscillation waveform in a cuff; establishing a generalized transfer function of a central artery to an upper arm artery blood pressure waveform; generating a middle arterial pressure according to the pressure oscillation waveform and using the generalized transfer function a waveform; and a pressure value of the central artery based on the central arterial pressure waveform. 如申請專利範圍第1項所述之中央動脈血壓估計方法,其中該壓力振盪波形包含一脈波容積紀錄波形。 The method of estimating a central arterial blood pressure according to claim 1, wherein the pressure oscillation waveform comprises a pulse volume recording waveform. 如申請專利範圍第2項所述之中央動脈血壓估計方法,其中該脈波容積紀錄波形係藉由該壓力變化調控單元控制該壓脈帶內維持壓力於一恆定壓力下所得到之壓力訊號。 The method for estimating a central arterial blood pressure according to claim 2, wherein the pulse volume recording waveform is controlled by the pressure change regulating unit to control a pressure signal obtained by maintaining the pressure in the cuff at a constant pressure. 如申請專利範圍第1項所述之中央動脈血壓估計方法,其中該廣義轉換函數係一組傅立葉轉換函數、一組快速傅立葉轉換函數或一組時域對頻域轉換函數。 The method of estimating a central arterial blood pressure according to claim 1, wherein the generalized transfer function is a set of Fourier transform functions, a set of fast Fourier transform functions, or a set of time domain versus frequency domain transfer functions. 如申請專利範圍第4項所述之中央動脈血壓估計方法,其中該組傅立葉轉換函數或該組快速傅立葉轉換函數係離散傅立葉轉換函數。 The method of estimating a central arterial blood pressure according to claim 4, wherein the set of Fourier transform functions or the set of fast Fourier transform functions is a discrete Fourier transform function. 如申請專利範圍第5項所述之中央動脈血壓估計方法,其中該離散傅立葉轉換函數係採一預定頻率以下 之各頻率之正弦波分量或餘弦波分量合成該壓力振盪波形。 The method for estimating a central arterial blood pressure according to claim 5, wherein the discrete Fourier transform function is below a predetermined frequency The sine wave component or the cosine wave component of each frequency is combined to form the pressure oscillation waveform. 如申請專利範圍第6項所述之中央動脈血壓估計方法,其中該預定頻率以下之各頻率之分量分別對應固定之大小及相位。 The method for estimating a central arterial blood pressure according to claim 6, wherein the components of the frequencies below the predetermined frequency correspond to a fixed size and a phase, respectively. 如申請專利範圍第7項所述之中央動脈血壓估計方法,其中該組傅立葉轉換函數係表示為: 其中,X[k]係代表的資訊是k的函數;k直接和頻率有正比關係;x[n]係預測之中央動脈壓力波形的函數;X[k]是一個複數,該預定頻率(k=N-1)以下之各頻率之分量所對應之大小為|(X[k])|及所對應之相位為∠X[k]。 The central arterial blood pressure estimation method according to claim 7, wherein the set of Fourier transform function is expressed as: Wherein, the information represented by X[k] is a function of k; k is directly proportional to frequency; x[n] is a function of the predicted central arterial pressure waveform; X[k] is a complex number, the predetermined frequency (k) =N-1) The magnitude of the component of each of the following frequencies is |(X[k])| and the corresponding phase is ∠X[k]. 如申請專利範圍第8項所述之中央動脈血壓估計方法,其中該N等於10,該預定頻率以下之各頻率之分量所對應之大小及相位如下:頻率0 Hz,其對應之大小為1.00及相位為0.00弧度;頻率1 Hz,其對應之大小為1.04及相位為0.18弧度;頻率2 Hz,其對應 之大小為1.26及相位為0.33弧度;頻率3 Hz,其對應之大小為1.76及相位為0.36弧度;頻率4 Hz,其對應之大小為2.08及相位為-0.06弧度;頻率5 Hz,其對應之大小為1.68及相位為-0.26弧度;頻率6 Hz,其對應之大小為1.97及相位為-0.15弧度;頻率7 Hz,其對應之大小為1.98及相位為-0.47弧度;頻率8 Hz,其對應之大小為1.24及相位為-0.44弧度;頻率9 Hz,其對應之大小為1.32及相位為-0.21弧度。 The method for estimating a central arterial blood pressure according to claim 8, wherein the N is equal to 10, and the magnitude and phase corresponding to the components of the frequencies below the predetermined frequency are as follows: the frequency is 0 Hz, and the corresponding size is 1.00 and The phase is 0.00 radians; the frequency is 1 Hz, and its corresponding size is 1.04 and the phase is 0.18 radians; the frequency is 2 Hz, which corresponds to The size is 1.26 and the phase is 0.33 radians; the frequency is 3 Hz, the corresponding size is 1.76 and the phase is 0.36 radians; the frequency is 4 Hz, the corresponding size is 2.08 and the phase is -0.06 radians; the frequency is 5 Hz, which corresponds to The size is 1.68 and the phase is -0.26 radians; the frequency is 6 Hz, the corresponding size is 1.97 and the phase is -0.15 radians; the frequency is 7 Hz, the corresponding size is 1.98 and the phase is -0.47 radians; the frequency is 8 Hz, which corresponds to The size is 1.24 and the phase is -0.44 radians; the frequency is 9 Hz, which corresponds to a size of 1.32 and a phase of -0.21 radians. 如申請專利範圍第1項所述之中央動脈血壓估計方法,其中該中央動脈之壓力值包括收縮壓與舒張壓之壓差、收縮壓、平均血壓及舒張壓。 The method for estimating a central arterial blood pressure according to claim 1, wherein the pressure value of the central artery includes a pressure difference between systolic blood pressure and diastolic blood pressure, a systolic blood pressure, an average blood pressure, and a diastolic blood pressure. 一種中央動脈血壓估計裝置,包含:一壓脈帶;一訊號紀錄及儲存單元,擷取並儲存該壓脈帶內一壓力振盪波形;以及一運算及分析單元,根據該壓力振盪波形並以一中央動脈對上臂動脈血壓波形之廣義轉換函數產生一中央動脈壓力波形,並根據該中央動脈壓力波形得到一中央動脈之壓力值。 A central arterial blood pressure estimating device comprises: a pressure pulse band; a signal recording and storage unit for extracting and storing a pressure oscillation waveform in the pressure pulse band; and an operation and analysis unit, according to the pressure oscillation waveform and The generalized transfer function of the central artery to the upper arm artery blood pressure waveform produces a central arterial pressure waveform, and a central arterial pressure value is obtained based on the central arterial pressure waveform. 如申請專利範圍第11項所述之中央動脈血壓估計裝置,其另包含:一壓力變化調控單元,控制該壓脈帶內之增壓、維持壓 力或減壓。 The central arterial blood pressure estimating device according to claim 11, further comprising: a pressure change regulating unit that controls the pressure and the maintaining pressure in the pressure band Force or decompression. 如申請專利範圍第11項所述之中央動脈血壓估計裝置,其中該壓力振盪波形包含一脈波容積紀錄波形。 The central arterial blood pressure estimating device according to claim 11, wherein the pressure oscillation waveform comprises a pulse volume recording waveform. 如申請專利範圍第13項所述之中央動脈血壓估計裝置,其中該脈波容積紀錄波形係藉由該壓力變化調控單元控制該壓脈帶內維持壓力於一恆定壓力下所得到之壓力訊號。 The central arterial blood pressure estimating device according to claim 13, wherein the pulse volume recording waveform is controlled by the pressure change regulating unit to control a pressure signal obtained by maintaining the pressure in the cuff at a constant pressure. 如申請專利範圍第11項所述之中央動脈血壓估計裝置,其中該廣義轉換函數係一組傅立葉轉換函數、一組快速傅立葉轉換函數或一組時域對頻域轉換函數。 The central arterial blood pressure estimating device according to claim 11, wherein the generalized transfer function is a set of Fourier transform functions, a set of fast Fourier transform functions, or a set of time domain versus frequency domain transfer functions. 如申請專利範圍第15項所述之中央動脈血壓估計裝置,其中該組傅立葉轉換函數或該組快速傅立葉轉換函數係離散傅立葉轉換函數。 The central arterial blood pressure estimating device according to claim 15, wherein the set of Fourier transform functions or the set of fast Fourier transform functions is a discrete Fourier transform function. 如申請專利範圍第16項所述之中央動脈血壓估計裝置,其中該離散傅立葉轉換函數係採一預定頻率以下之各頻率之正弦波分量或餘弦波分量合成該壓力振盪波形。 The central arterial blood pressure estimating device according to claim 16, wherein the discrete Fourier transform function synthesizes the pressure oscillation waveform by using a sine wave component or a cosine wave component of each frequency below a predetermined frequency. 如申請專利範圍第17項所述之中央動脈血壓估計裝置,其中該預定頻率以下之各頻率之分量分別對應固定之大小及相位。 The central arterial blood pressure estimating device according to claim 17, wherein the components of the frequencies below the predetermined frequency correspond to a fixed size and a phase, respectively. 如申請專利範圍第18項所述之中央動脈血壓估計裝置,其中該組傅立葉轉換函數係表示為: 其中,X[k]係代表的資訊是k的函數;k直接和頻率有正比關係;x[n]係預測之中央動脈壓力波形的函數;X[k]是一個複數,該預定頻率(k=N-1)以下之各頻率之分量所對應之大小為|(X[k])|及所對應之相位為∠X[k]。 The central arterial blood pressure estimating device according to claim 18, wherein the set of Fourier transform function is expressed as: Wherein, the information represented by X[k] is a function of k; k is directly proportional to frequency; x[n] is a function of the predicted central arterial pressure waveform; X[k] is a complex number, the predetermined frequency (k) =N-1) The magnitude of the component of each of the following frequencies is |(X[k])| and the corresponding phase is ∠X[k]. 如申請專利範圍第19項所述之中央動脈血壓估計裝置,其中該N等於10,該預定頻率以下之各頻率之分量所對應之大小及相位如下:頻率0 Hz,其對應之大小為1.00及相位為0.00弧度;頻率1 Hz,其對應之大小為1.04及相位為0.18弧度;頻率2 Hz,其對應之大小為1.26及相位為0.33弧度;頻率3 Hz,其對應之大小為1.76及相位為0.36弧度;頻率4 Hz,其對應之大小為2.08及相位為-0.06弧度;頻率5 Hz,其對應之大小為1.68及相位為-0.26弧度;頻率6 Hz,其對應之大小為1.97及相位為-0.15弧度;頻率7 Hz,其對應之大小為1.98及相位為-0.47弧度;頻率8 Hz,其對應之大小為1.24及相位為-0.44弧度;頻率9 Hz, 其對應之大小為1.32及相位為-0.21弧度。 The central arterial blood pressure estimating device according to claim 19, wherein the N is equal to 10, and the magnitude and phase corresponding to the components of the respective frequencies below the predetermined frequency are as follows: the frequency is 0 Hz, and the corresponding size is 1.00 and The phase is 0.00 radians; the frequency is 1 Hz, the corresponding size is 1.04 and the phase is 0.18 radians; the frequency is 2 Hz, the corresponding size is 1.26 and the phase is 0.33 radians; the frequency is 3 Hz, the corresponding size is 1.76 and the phase is 0.36 radians; frequency 4 Hz, the corresponding size is 2.08 and the phase is -0.06 radians; the frequency is 5 Hz, the corresponding size is 1.68 and the phase is -0.26 radians; the frequency is 6 Hz, the corresponding size is 1.97 and the phase is -0.15 radians; frequency 7 Hz, which corresponds to a size of 1.98 and a phase of -0.47 radians; frequency 8 Hz, which corresponds to a size of 1.24 and a phase of -0.44 radians; frequency 9 Hz, Its corresponding size is 1.32 and the phase is -0.21 radians. 如申請專利範圍第11項所述之中央動脈血壓估計裝置,其中該中央動脈之壓力值包含收縮壓與舒張壓之壓差、收縮壓、平均血壓及舒張壓。 The central arterial blood pressure estimating device according to claim 11, wherein the pressure value of the central artery includes a pressure difference between systolic blood pressure and diastolic blood pressure, a systolic blood pressure, an average blood pressure, and a diastolic blood pressure.
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