Elastic (Tangent) Modulus using Hughes equation Calculator

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✖Elastic Modulus at Zero Blood Pressure is the slope of the stress–strain curve at the zero blood pressure.ⓘ Elastic Modulus at Zero Blood Pressure [E₀]			+10% -10%
✖Material Coefficient of Artery is the arterial change factor per degree of material change.ⓘ Material Coefficient of Artery [ζ]			+10% -10%
✖The Blood Pressure is the force of circulating blood on the walls of the arteries.ⓘ Blood Pressure [P]			+10% -10%

✖The elastic (tangent) Modulus at Blood Pressure P is the slope of the stress–strain curve at the particular blood pressure P.ⓘ Elastic (Tangent) Modulus using Hughes equation [E]

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Formula

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Elastic (Tangent) Modulus using Hughes equation

Formula

`"E" = "E"_{"0"}*exp("ζ"*"P")`

Example

`"11007.08Pa"="4Pa"*exp("0.66"*"12Pa")`

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Elastic (Tangent) Modulus using Hughes equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elastic (tangent) Modulus at Blood Pressure P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of Artery*Blood Pressure)
E = E₀*exp(ζ*P)
This formula uses 1 Functions, 4 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Elastic (tangent) Modulus at Blood Pressure P - (Measured in Pascal) - The elastic (tangent) Modulus at Blood Pressure P is the slope of the stress–strain curve at the particular blood pressure P.
Elastic Modulus at Zero Blood Pressure - (Measured in Pascal) - Elastic Modulus at Zero Blood Pressure is the slope of the stress–strain curve at the zero blood pressure.
Material Coefficient of Artery - Material Coefficient of Artery is the arterial change factor per degree of material change.
Blood Pressure - (Measured in Pascal) - The Blood Pressure is the force of circulating blood on the walls of the arteries.

STEP 1: Convert Input(s) to Base Unit

Elastic Modulus at Zero Blood Pressure: 4 Pascal --> 4 Pascal No Conversion Required
Material Coefficient of Artery: 0.66 --> No Conversion Required
Blood Pressure: 12 Pascal --> 12 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = E₀*exp(ζ*P) --> 4*exp(0.66*12)

Evaluating ... ...

E = 11007.0841829201

STEP 3: Convert Result to Output's Unit

11007.0841829201 Pascal --> No Conversion Required

FINAL ANSWER

11007.0841829201 ≈ 11007.08 Pascal <-- Elastic (tangent) Modulus at Blood Pressure P

(Calculation completed in 00.004 seconds)

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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)

Elastic (Tangent) Modulus using Hughes equation Formula

Elastic (tangent) Modulus at Blood Pressure P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of 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 Elastic (tangent) Modulus at Blood Pressure P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of Artery*Blood Pressure) to calculate 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. 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 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 -> 11007.08 = 4*exp(0.66*12).

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 Elastic (tangent) Modulus at Blood Pressure P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of 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 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 Elastic (tangent) Modulus at Blood Pressure P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of Artery*Blood Pressure). To calculate Elastic (Tangent) Modulus using Hughes equation, you need Elastic Modulus at Zero Blood Pressure (E₀), Material Coefficient of 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 Artery & Blood Pressure 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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