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## Pulsatility Index Solution

STEP 0: Pre-Calculation Summary
Formula Used
pulsatility_index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity
PI = (vsystole-vdiastole)/v
This formula uses 3 Variables
Variables Used
Peak Systolic Velocity - 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. (Measured in Meter per Second)
Minimum Diastolic Velocity - 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). (Measured in Meter per Second)
Average Velocity - Average Velocity is defined as the mean of all different velocities. (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Peak Systolic Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Minimum Diastolic Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Average Velocity: 75 Meter per Second --> 75 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PI = (vsystole-vdiastole)/v --> (10-10)/75
Evaluating ... ...
PI = 0
STEP 3: Convert Result to Output's Unit
0 --> No Conversion Required
0 <-- Pulsatility Index
(Calculation completed in 00.016 seconds)

## < 10+ Hemodynamics Calculators

Poiseuille's Equation for Blood Flow
blood_flow = ((Final Pressure of System-Initial Pressure of System)*pi*(Radius^4)/(8*Length of the Capillary Tube*Density)) Go
Pulse wave velocity using Moens-Korteweg equation
pulse_wave_velocity = sqrt((The elastic (tangent) modulus at blood pressure P*Thickness of the artery)/(2*Blood Density*Radius of the artery)) Go
Elastic (Tangent) Modulus using Hughes equation
the_elastic_tangent_modulus_at_blood_pressure_P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of the Artery*Blood Pressure) Go
Pressure Drop using Hagen-Poiseuille equation
difference_in_pressure = (8*Viscosity of Blood*Length of the Capillary Tube*Blood Flow)/(pi*(Radius^4)) Go
Frank Bramwell-Hill equation for Pulse Wave Velocity
pulse_wave_velocity = sqrt((Volume*Change in pressure)/(Density of Blood*Change in Volume)) Go
Reynolds Number of Blood in the Vessel
reynolds_number = (Density of Blood*Mean Velocity of Blood*Diameter)/Viscosity of Blood Go
Mean Arterial Pressure
mean_arterial_pressure = Diastolic Blood Pressure+((1/3)*(Systolic Blood Pressure-Diastolic Blood Pressure)) Go
Pulsatility Index
pulsatility_index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity Go
Pulse Pressure
pulse_pressure = 3*(Mean Arterial Pressure-Diastolic Blood Pressure) Go
Rate of Mean Blood Flow
blood_flow = (Blood Velocity*Cross sectional area) Go

### Pulsatility Index Formula

pulsatility_index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity
PI = (vsystole-vdiastole)/v

## 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 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 (v) and hit the calculate button. Here is how the Pulsatility Index calculation can be explained with given input values -> 0 = (10-10)/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)/v or pulsatility_index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity. 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 is defined as the mean of all different velocities.
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. To calculate Pulsatility Index, you need Peak Systolic Velocity (vsystole), Minimum Diastolic Velocity (vdiastole) & Average Velocity (v). With our tool, you need to enter the respective value for Peak Systolic Velocity, Minimum Diastolic Velocity & Average Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pulsatility Index?
In this formula, Pulsatility Index uses Peak Systolic Velocity, Minimum Diastolic Velocity & Average Velocity. We can use 10 other way(s) to calculate the same, which is/are as follows -
• mean_arterial_pressure = Diastolic Blood Pressure+((1/3)*(Systolic Blood Pressure-Diastolic Blood Pressure))
• pulse_pressure = 3*(Mean Arterial Pressure-Diastolic Blood Pressure)
• pulse_wave_velocity = sqrt((The elastic (tangent) modulus at blood pressure P*Thickness of the artery)/(2*Blood Density*Radius of the artery))
• the_elastic_tangent_modulus_at_blood_pressure_P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of the Artery*Blood Pressure)
• blood_flow = (Blood Velocity*Cross sectional area)
• pulse_wave_velocity = sqrt((Volume*Change in pressure)/(Density of Blood*Change in Volume))
• pulsatility_index = (Peak Systolic Velocity-Minimum Diastolic Velocity)/Average Velocity
• blood_flow = ((Final Pressure of System-Initial Pressure of System)*pi*(Radius^4)/(8*Length of the Capillary Tube*Density))
• difference_in_pressure = (8*Viscosity of Blood*Length of the Capillary Tube*Blood Flow)/(pi*(Radius^4))
• reynolds_number = (Density of Blood*Mean Velocity of Blood*Diameter)/Viscosity of Blood Let Others Know