The most accurate carotid artery model to date — the first to capture both the soft, low-pressure behavior and the stiff, high-pressure response of the vessel.

Built on the same principles as Fung’s law, but improved: our 2014 α–β framework fits strain energy first, then derives pressure — like how \( F = \frac{dE}{dx} \) gives the force in a spring. Here \(E\) is the strain energy — the quantity Fung’s law was originally built around. Strain energy is differentiated to give force, and in the fits below that force corresponds to pressure.

The 1987 plot below (Fung-type) fits well only at high pressures; the 2019 plot fits low pressures. Ours is the first to capture both perfectly.

#Biomechanics #ContinuumMechanics #MathematicalModeling #StrainEnergy #FungsLaw #ConstitutiveModeling #Mechanics #NSFResearch #ScienceCommunication #ArterialMechanics