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Elastic (Tangent) Modulus using Hughes equation Formula

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The elastic (tangent) Modulus at Blood Pressure P is the slope of the stress–strain curve at the particular blood pressure P. Check FAQs

E = E 0 \cdot \exp (ζ \cdot P)

E - Elastic (tangent) Modulus at Blood Pressure P?E₀ - Elastic Modulus at Zero Blood Pressure?ζ - Material Coefficient of Artery?P - Blood Pressure?

Elastic (Tangent) Modulus using Hughes equation Example

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Here is how the Elastic (Tangent) Modulus using Hughes equation equation looks like with Values.

Here is how the Elastic (Tangent) Modulus using Hughes equation equation looks like with Units.

Here is how the Elastic (Tangent) Modulus using Hughes equation equation looks like.

11007.0842 = 4 \cdot \exp (0.66 \cdot 12)

11007.0842Pa = 4Pa \cdot \exp (0.66 \cdot 12Pa)

11007.0842 = 4 \cdot \exp (0.66 \cdot 12)

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Elastic (Tangent) Modulus using Hughes equation Solution

Follow our step by step solution on how to calculate Elastic (Tangent) Modulus using Hughes equation?

FIRST Step Consider the formula

E = E 0 \cdot \exp (ζ \cdot P)

Next Step Substitute values of Variables

∴

E = 4Pa \cdot \exp (0.66 \cdot 12Pa)

Next Step Prepare to Evaluate

∴

E = 4 \cdot \exp (0.66 \cdot 12)

Next Step Evaluate

∴

E = 11007.0841829201Pa

LAST Step Rounding Answer

∴

E = 11007.0842Pa

Elastic (Tangent) Modulus using Hughes equation Formula Elements

Variables

Functions

Elastic (tangent) Modulus at Blood Pressure P

The elastic (tangent) Modulus at Blood Pressure P is the slope of the stress–strain curve at the particular blood pressure P.

Symbol: E

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Elastic (tangent) Modulus at Blood Pressure P

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.

Symbol: E₀

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Elastic Modulus at Zero Blood Pressure

Material Coefficient of Artery

Material Coefficient of Artery is the arterial change factor per degree of material change.

Symbol: ζ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Material Coefficient of Artery

Blood Pressure

The Blood Pressure is the force of circulating blood on the walls of the arteries.

Symbol: P

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Blood Pressure

exp

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

Syntax: exp(Number)

Other formulas in Hemodynamics category

Go Mean Arterial Pressure

MAP = DP + ((\frac{1}{3}) \cdot (SP - DP))

Go Pulse Pressure

PP = 3 \cdot (MAP - DP)

Go Pulse Wave Velocity using Moens-Korteweg equation

PWV = \sqrt{\frac{E \cdot h 0}{2 \cdot ρ blood \cdot R 0}}

Go Rate of Mean Blood Flow

Q = (v blood \cdot A artery)

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

Elastic (Tangent) Modulus using Hughes equation evaluator uses Elastic (tangent) Modulus at Blood Pressure P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of Artery*Blood Pressure) to evaluate 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 evaluate Elastic (Tangent) Modulus using Hughes equation using this online evaluator? To use this online evaluator 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.

FAQs on Elastic (Tangent) Modulus using Hughes equation

What is the formula to find Elastic (Tangent) Modulus using Hughes equation?

The formula of Elastic (Tangent) Modulus using Hughes equation is expressed as Elastic (tangent) Modulus at Blood Pressure P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of Artery*Blood Pressure). Here is an example- 11007.08 = 4*exp(0.66*12).

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

With Elastic Modulus at Zero Blood Pressure (E₀), Material Coefficient of Artery (ζ) & Blood Pressure (P) we can find Elastic (Tangent) Modulus using Hughes equation using the formula - Elastic (tangent) Modulus at Blood Pressure P = Elastic Modulus at Zero Blood Pressure*exp(Material Coefficient of Artery*Blood Pressure). This formula also uses Exponential Growth (exp) function(s).

Can the Elastic (Tangent) Modulus using Hughes equation be negative?

No, the Elastic (Tangent) Modulus using Hughes equation, measured in Pressure cannot be negative.

Which unit is used to measure Elastic (Tangent) Modulus using Hughes equation?

Elastic (Tangent) Modulus using Hughes equation is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Elastic (Tangent) Modulus using Hughes equation can be measured.

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Elastic (Tangent) Modulus using Hughes equation Formula

Elastic (Tangent) Modulus using Hughes equation Example

Elastic (Tangent) Modulus using Hughes equation Solution

Elastic (Tangent) Modulus using Hughes equation Formula Elements

Other formulas in Hemodynamics category

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

FAQs on Elastic (Tangent) Modulus using Hughes equation

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