Pulsatility Index Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pulsatility Index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity in terms of Cardiac Cycle
PI = (vsystole-vdiastole)/vavg
This formula uses 4 Variables
Variables Used
Pulsatility Index - The Pulsatility Index (PI) (also known as the Gosling index) is a calculated flow parameter in ultrasound, derived from the maximum, minimum, and mean Doppler frequency shifts.
Peak Systolic Velocity - (Measured in Meter per Second) - Peak Systolic Velocity (PSV) is an index measured in spectral Doppler ultrasound. The peak systolic velocity corresponds to each tall “peak” in the spectrum window.
Minimum Diastolic Velocity - (Measured in Meter per Second) - The Minimum Diastolic Velocity on a Doppler waveform, corresponds to the point marked at the end of the cardiac cycle (just prior to the systolic peak).
Average Velocity in terms of Cardiac Cycle - (Measured in Meter per Second) - Average Velocity in terms of cardiac cycle is defined as the mean of all different velocities in cardiac cycle.
STEP 1: Convert Input(s) to Base Unit
Peak Systolic Velocity: 18 Meter per Second --> 18 Meter per Second No Conversion Required
Minimum Diastolic Velocity: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Average Velocity in terms of Cardiac Cycle: 75 Meter per Second --> 75 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PI = (vsystole-vdiastole)/vavg --> (18-16)/75
Evaluating ... ...
PI = 0.0266666666666667
STEP 3: Convert Result to Output's Unit
0.0266666666666667 --> No Conversion Required
FINAL ANSWER
0.0266666666666667 0.026667 <-- Pulsatility Index
(Calculation completed in 00.004 seconds)

Credits

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National University of Judicial Science (NUJS), Kolkata
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12 Hemodynamics Calculators

Poiseuille's Equation for Blood Flow
Go Blood Flow = ((Final Pressure of System-Initial Pressure of Blood)*pi*(Radius of Artery^4)/(8*Length of the Capillary Tube*Density))
Pulse Wave Velocity using Moens-Korteweg equation
Go Pulse Wave Velocity = sqrt((Elastic (tangent) Modulus at Blood Pressure P*Thickness of Artery)/(2*Blood Density*Radius of Artery))
Pressure Drop using Hagen-Poiseuille equation
Go Difference in Pressure = (8*Viscosity of Blood*Length of the Capillary Tube*Blood Flow)/(pi*(Radius of Artery^4))
Elastic (Tangent) Modulus using Hughes equation
Go Elastic (tangent) Modulus at Blood Pressure P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of Artery*Blood Pressure)
Frank Bramwell-Hill equation for Pulse Wave Velocity
Go Pulse Wave Velocity = sqrt((Volume*Difference in Pressure)/(Blood Density*Change in Volume))
Mean Velocity of Blood
Go Mean Velocity of Blood = (Viscosity of Blood*Reynolds Number)/(Blood Density*Diameter of Artery)
Reynolds Number of Blood in Vessel
Go Reynolds Number = (Blood Density*Mean Velocity of Blood*Diameter of Artery)/Viscosity of Blood
Viscosity of Blood
Go Viscosity of Blood = (Blood Density*Diameter of Artery*Mean Velocity of Blood)/Reynolds Number
Pulsatility Index
Go Pulsatility Index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity in terms of Cardiac Cycle
Mean Arterial Pressure
Go Mean Arterial Pressure = Diastolic Blood Pressure+((1/3)*(Systolic Blood Pressure-Diastolic Blood Pressure))
Pulse Pressure
Go Pulse Pressure = 3*(Mean Arterial Pressure-Diastolic Blood Pressure)
Rate of Mean Blood Flow
Go Blood Flow = (Blood Velocity*Cross Sectional Area of Artery)

Pulsatility Index Formula

Pulsatility Index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity in terms of Cardiac Cycle
PI = (vsystole-vdiastole)/vavg

What is Normal Pulsatility Index?

The PI is proportional to the distance between maximum and minimum flow and inversely proportional to the MGF. The range of normal values is between 3 and 5. A high PI may be related to a very high Qmax in systole followed by a low to null diastolic flow with a resultant low MGF. However, a high PI may also result from a very high Qmin constantly below the zero-flow line and a low MGF.

How to Calculate Pulsatility Index?

Pulsatility Index calculator uses Pulsatility Index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity in terms of Cardiac Cycle to calculate the Pulsatility Index, The Pulsatility Index (PI) (also known as the Gosling index) is a calculated flow parameter in ultrasound, derived from the maximum, minimum, and mean Doppler frequency shifts during a defined cardiac cycle. Pulsatility Index is denoted by PI symbol.

How to calculate Pulsatility Index using this online calculator? To use this online calculator for Pulsatility Index, enter Peak Systolic Velocity (vsystole), Minimum Diastolic Velocity (vdiastole) & Average Velocity in terms of Cardiac Cycle (vavg) and hit the calculate button. Here is how the Pulsatility Index calculation can be explained with given input values -> 0.026667 = (18-16)/75.

FAQ

What is Pulsatility Index?
The Pulsatility Index (PI) (also known as the Gosling index) is a calculated flow parameter in ultrasound, derived from the maximum, minimum, and mean Doppler frequency shifts during a defined cardiac cycle and is represented as PI = (vsystole-vdiastole)/vavg or Pulsatility Index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity in terms of Cardiac Cycle. Peak Systolic Velocity (PSV) is an index measured in spectral Doppler ultrasound. The peak systolic velocity corresponds to each tall “peak” in the spectrum window, The Minimum Diastolic Velocity on a Doppler waveform, corresponds to the point marked at the end of the cardiac cycle (just prior to the systolic peak) & Average Velocity in terms of cardiac cycle is defined as the mean of all different velocities in cardiac cycle.
How to calculate Pulsatility Index?
The Pulsatility Index (PI) (also known as the Gosling index) is a calculated flow parameter in ultrasound, derived from the maximum, minimum, and mean Doppler frequency shifts during a defined cardiac cycle is calculated using Pulsatility Index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity in terms of Cardiac Cycle. To calculate Pulsatility Index, you need Peak Systolic Velocity (vsystole), Minimum Diastolic Velocity (vdiastole) & Average Velocity in terms of Cardiac Cycle (vavg). With our tool, you need to enter the respective value for Peak Systolic Velocity, Minimum Diastolic Velocity & Average Velocity in terms of Cardiac Cycle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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