By Gaetano D Gargiulo; Alistair McEwan
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Additional info for Advanced biomedical engineering
Fourier transform is a basic and important transform for linear analysis which usually transfers the signal from time domain (signal based on time) to frequency domain (the transform depends on frequency). The Fourier theory states that any continuous signals or time serial data can be expressed as overlay of sine waves with different frequencies. This process can help signal analysis because the sine wave is well understood and treated as simple function in both mathematics and physics. Fourier transform calculates the frequency, amplitude, and phase based on this theory.
Based on the above three equations, the analytic equation of elastic cavity can be calculated: dp p − pv + dt1 R dp p − pv AC + =0 dt2 R Qin = AC Computing the integral of Equation (4): (4) 27 Pulse Wave Analysis ( ) Sv = AC ps* − pd + ( ) AC pd − ps* + AS R Ad =0 R (5) where Sv is the stroke volume during a heartbeat. We refer to Figure 4 for As, Ad, ps, and pd. Cardiac Output is highly correlated to age, weight, and systolic blood pressure. It shows the working status of the heart while SI shows the degree of arterial stiffness.
Equation between pressure remainder and blood flow: Qout = p − pv R (2) where p is the arterial pressure, pv is the venous pressure, and R indicates the peripheral resistance of cardiovascular system. • Arterial pressure volume equation: AC = dV dp (3) where AC is a constant that depends on the arterial compliance. Based on the above three equations, the analytic equation of elastic cavity can be calculated: dp p − pv + dt1 R dp p − pv AC + =0 dt2 R Qin = AC Computing the integral of Equation (4): (4) 27 Pulse Wave Analysis ( ) Sv = AC ps* − pd + ( ) AC pd − ps* + AS R Ad =0 R (5) where Sv is the stroke volume during a heartbeat.
Advanced biomedical engineering by Gaetano D Gargiulo; Alistair McEwan