Length–force and volume–pressure relationships of arteries123

Biomechanics of Porcine Renal Arteries and Role of Axial Stretch

“…Typical experimental F-P curves for arteries have been reported in many scientific papers [3,4,[12][13][14][15]. These curves generally have the shape which is displayed in Fig.…”

“…The most important result in the literature regarding the role of axial stretch in arteries is that the axial force needed to maintain an artery at its in vivo axial stretch does not change with transient cyclical pressurization over normal ranges [3,4,[12][13][14][15]. This is a very interesting phenomenon and the specific biaxial behavior of blood vessels has received much attention by numerous authors [16][17][18][19].…”

“…According to Humphrey et al [2], the axial component of wall stress plays a fundamental role in controlling arterial geometry, structure, and function. Given the explosion of interest in mathematical modeling of arterial growth and remodeling [3,[5][6][7][8][9], the fundamental role of axial wall stress has been investigated in conceptual and theoretical models of arterial growth and remodeling [2,6,10,11].…”

The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model

“…After 15 min, the vessel was loaded with a cyclic pressure and stretched axially at a strain rate of 0.01 s −1 until the amplitude of the measured axial force signal was minimal. Several studies (van Loon 1977;Weizsäcker et al 1983) have shown that this axial stretch (λ z ) is equal to the physiological axial pre-stretch (λ z,phys ) for the large elastic arteries. We assume a similar behavior for coronary arteries.…”

“…From in-vitro studies, it is well known that at physiological axial strain, the external axial force is independent of the internal pressure (van Loon 1977;Weizsäcker et al 1983). Several studies used this pressure-invariant axial force constraint to fit models to clinical data.…”