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Elastic (Tangent) Modulus using Hughes equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
the_elastic_tangent_modulus_at_blood_pressure_P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of the Artery*Blood Pressure)
E = E0*exp(ζ*P)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
exp - Exponential function, exp(Number)
Variables Used
Elastic Modulus at Zero Blood Pressure - Elastic Modulus at Zero Blood Pressure is the slope of the stress–strain curve at the zero blood pressure. (Measured in Pascal)
Material Coefficient of the Artery- Material Coefficient of the Artery is the arterial change factor per degree of material change.
Blood Pressure - The Blood Pressure is the force of circulating blood on the walls of the arteries. (Measured in Pascal)
STEP 1: Convert Input(s) to Base Unit
Elastic Modulus at Zero Blood Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Material Coefficient of the Artery: 1 --> No Conversion Required
Blood Pressure: 10 Pascal --> 10 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = E0*exp(ζ*P) --> 10*exp(1*10)
Evaluating ... ...
E = 220264.657948067
STEP 3: Convert Result to Output's Unit
220264.657948067 Pascal --> No Conversion Required
FINAL ANSWER
220264.657948067 Pascal <-- The elastic (tangent) modulus at blood pressure P
(Calculation completed in 00.000 seconds)

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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

Elastic (Tangent) Modulus using Hughes equation Formula

the_elastic_tangent_modulus_at_blood_pressure_P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of the Artery*Blood Pressure)
E = E0*exp(ζ*P)

What is Pulse Wave velocity?

Pulse Wave Velocity (PWV) is a measure of arterial stiffness, or the rate at which pressure waves move down the vessel. As blood flows through the vessels of the circulatory system, it moves out of the left ventricle and into the aorta where it is then pushed through the rest of the circulatory system. During systole, the contraction of the left ventricle and the ejection of blood into the ascending aorta acutely dilates the aortic wall and generates a pressure wave that moves along the arterial tree. The velocity of this movement gives a measurement of arterial compliance. With age, or due to changes in the arterial wall, these vessels become stiffer and the speed at which the pressure wave moves through the system is increased.

How to Calculate Elastic (Tangent) Modulus using Hughes equation?

Elastic (Tangent) Modulus using Hughes equation calculator uses the_elastic_tangent_modulus_at_blood_pressure_P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of the Artery*Blood Pressure) to calculate the The elastic (tangent) modulus at blood pressure P, The Elastic (Tangent) Modulus using Hughes equation formula is defined as Continuous, cuffless, and noninvasive blood pressure monitoring methods that correlate measured pulse wave velocity (PWV) to the blood pressure. The elastic (tangent) modulus at blood pressure P is denoted by E symbol.

How to calculate Elastic (Tangent) Modulus using Hughes equation using this online calculator? To use this online calculator for Elastic (Tangent) Modulus using Hughes equation, enter Elastic Modulus at Zero Blood Pressure (E0), Material Coefficient of the Artery (ζ) & Blood Pressure (P) and hit the calculate button. Here is how the Elastic (Tangent) Modulus using Hughes equation calculation can be explained with given input values -> 220264.7 = 10*exp(1*10).

FAQ

What is Elastic (Tangent) Modulus using Hughes equation?
The Elastic (Tangent) Modulus using Hughes equation formula is defined as Continuous, cuffless, and noninvasive blood pressure monitoring methods that correlate measured pulse wave velocity (PWV) to the blood pressure and is represented as E = E0*exp(ζ*P) or the_elastic_tangent_modulus_at_blood_pressure_P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of the Artery*Blood Pressure). Elastic Modulus at Zero Blood Pressure is the slope of the stress–strain curve at the zero blood pressure, Material Coefficient of the Artery is the arterial change factor per degree of material change & The Blood Pressure is the force of circulating blood on the walls of the arteries.
How to calculate Elastic (Tangent) Modulus using Hughes equation?
The Elastic (Tangent) Modulus using Hughes equation formula is defined as Continuous, cuffless, and noninvasive blood pressure monitoring methods that correlate measured pulse wave velocity (PWV) to the blood pressure is calculated using the_elastic_tangent_modulus_at_blood_pressure_P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of the Artery*Blood Pressure). To calculate Elastic (Tangent) Modulus using Hughes equation, you need Elastic Modulus at Zero Blood Pressure (E0), Material Coefficient of the Artery (ζ) & Blood Pressure (P). With our tool, you need to enter the respective value for Elastic Modulus at Zero Blood Pressure, Material Coefficient of the Artery & Blood Pressure 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 The elastic (tangent) modulus at blood pressure P?
In this formula, The elastic (tangent) modulus at blood pressure P uses Elastic Modulus at Zero Blood Pressure, Material Coefficient of the Artery & Blood Pressure. 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
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