What Is the Windkessel 3-Element Arterial Hemodynamics Calculator?
The Windkessel model simulates the elastic buffering action of the aorta, storing blood volume during systole and expelling it during diastole to smooth pulsatile flow.
How Does the Windkessel 3-Element Arterial Hemodynamics Calculator Work?
Aortic impedance R0 prevents unphysiological high-frequency pressure steps; compliance C buffers stroke volume; resistance Rp governs diastolic pressure runoff.
Windkessel 3-Element Arterial Hemodynamics Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
ext{PP} approx rac{ ext{SV}}{C}, quad au = R_p C, quad ext{MAP} = ext{CO} imes (R_p + R_0)
3-Element Windkessel arterial pulse pressure and diastolic RC decay formulation.
How to Use the Windkessel 3-Element Arterial Hemodynamics Calculator
- Input stroke volume in mL, heart rate in bpm, peripheral resistance Rp, aortic impedance R0, and arterial compliance C in mL/mmHg.
Step-by-Step Example Calculation
Normotensive Adult Resting Hemodynamics
Input Values:
strokeVolumeMl:75
heartRateBpm:72
totalPeripheralResistanceR:0.95
aorticCharacteristicResistanceR0:0.08
totalComplianceC:1.3
Worked Steps: Blood pressure = 127/70 mmHg, Pulse pressure = 57.7 mmHg, RC decay constant tau = 1.24 s.
Understanding Your Result
Displays estimated systolic and diastolic blood pressure, pulse pressure in mmHg, and arterial RC decay constant.
Factors That Affect the Result
- Arterial stiffening (aging/hypertension) halves compliance C, causing isolated systolic hypertension and elevated pulse pressure.
When Should You Use This Calculator?
- Cardiovascular research, arterial wave reflection analysis, prosthetic heart valve design, and ventricular-arterial coupling studies.
Assumptions & Limitations
- Lumped-parameter model that neglects spatial wave propagation and localized wave reflections.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard 3-element Westerhof Windkessel model.