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This paper proposes a novel experimental investigation based on 3D printing to validate numerical models for biomechanics simulations. Soft elastomeric materials have been used in Polyjet multi-material 3D printer to mimicking arteries affected by atherosclerotic plaque. The nonlinear mechanical properties of five digital materials are characterized and used as an input for finite element (FE) modeling. Pressurized air is applied to the internal cavity of the printed model to reproduce the internal blood pressure in the artery. Digital Imaging Correlation is adopted to measure the displacement and deformation. A 1D linear higher-order FE model based on the Carrera Unified Formulation is compared to 3D nonlinear FE solutions., (© 2021. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.)

This work presents a recently developed phase-field model of fracture equipped with anisotropic crack driving force to model failure phenomena in soft biological tissues at finite deformations. The phase-field models present a promising and innovative approach to thermodynamically consistent modeling of fracture, applicable to both rate-dependent or rate-independent brittle and ductile failure modes. One key advantage of diffusive crack modeling lies in predicting the complex crack topologies where methods with sharp crack discontinuities are known to suffer. The starting point is the derivation of a regularized crack surface functional that [Formula: see text]-converges to a sharp crack topology for vanishing length-scale parameter. A constitutive balance equation of this functional governs the crack phase-field evolution in a modular format in terms of a crack driving state function. This allows flexibility to introduce alternative stress-based failure criteria, e.g., isotropic or anisotropic, whose maximum value from the deformation history drives the irreversible crack phase field. The resulting multi-field problem is solved by a robust operator split scheme that successively updates a history field, the crack phase field and finally the displacement field in a typical time step. For the representative numerical simulations, a hyperelastic anisotropic free energy, typical to incompressible soft biological tissues, is used which degrades with evolving phase field as a result of coupled constitutive setup. A quantitative comparison with experimental data is provided for verification of the proposed methodology.

The biomechanics of large- and medium-sized arteries influence the pathophysiology of arterial disease and the response to therapeutic interventions. However, a comprehensive comparative analysis of human arterial biaxial mechanical properties has not yet been reported. Planar biaxial extension was used to establish the passive mechanical properties of human thoracic (TA, [Formula: see text]) and abdominal (AA, [Formula: see text]) aorta, common carotid (CCA, [Formula: see text]), subclavian (SA, [Formula: see text]), renal (RA, [Formula: see text]) and common iliac (CIA, [Formula: see text]) arteries from 11 deceased subjects ([Formula: see text] years old). Histological evaluation determined the structure of each specimen. Experimental data were used to determine constitutive parameters for a structurally motivated nonlinear anisotropic constitutive model. All arteries demonstrated appreciable anisotropy and large nonlinear deformations. Most CCA, SA, TA, AA and CIA specimens were stiffer longitudinally, while most RAs were stiffer circumferentially. A switch in anisotropy was occasionally demonstrated for all arteries. The CCA was the most compliant, least anisotropic and least frequently diseased of all arteries, while the CIA and AA were the stiffest and the most diseased. The severity of atherosclerosis correlated with age, but was not affected by laterality. Elastin fibers in the aorta, SA and CCA were uniformly and mostly circumferentially distributed throughout the media, while in the RA and CIA, elastin was primarily axially aligned and concentrated in the external elastic lamina. Constitutive modeling provided good fits to the experimental data for most arteries. Biomechanical and architectural features of major arteries differ depending on location and functional environment. A better understanding of localized arterial mechanical properties may support the development of site-specific treatment modalities for arterial disease.

The aim of the study was to examine features of the myogenic response of a conduit artery to the presence and absence of pulsatile pressure. The iliac arteries of 16 anaesthetised pigs (10 in control conditions, 6 under sympathetic blockade) were instrumented with flowmeter, sonomicrometry crystals for diameter measurement, a micro-tip manometer for pressure measurement and snares placed proximally and distally to the crystals to isolate a test segment from the remainder of the arterial system. When the snares were tightened to occlude the test segment, systemic arterial pressure remained constant. There was a large shift in the pressure-diameter relationship, in that there was a rapid decline in test segment pressure for the same diameter. This indicated arterial wall smooth muscle relaxation in response to removal of pulsatility of arterial pressure. The difference in mean pressure between pulsatility present and absent was significant (p < 0.0001, paired t test, n = 10). Before proximal and distal occlusion, test segment pressure was (mean ± SD) 92.26 ± 12.39 mmHg, whereas after distal and proximal occlusion at the same diameter, it was 42.34 ± 10.87 mmHg. We conclude that in the presence of pulsatile pressure, there is a large proportion of arterial wall smooth muscle tone related to stretch of the arterial wall during the cardiac cycle, indicating that, under normal pulsatile pressure conditions, much of the normal tone can be attributed to the pulsatile component of the arterial myogenic response.

Certain aspects of the mechanical response of arterial walls can be described using nonlinear elasticity theory. Uniaxial tests on vascular walls reveal nonlinear stress-strain behavior, with higher extensibility in the low stretch range and progressively lower extensibility with increasing stretch. This phenomenon is well known in the framework of rubber-like materials where it is called a strain-hardening or strain-stiffening effect. Constitutive models of incompressible hyperelasticity that take this into account include power-law models and limiting chain extensibility models. Our purpose in this paper is to bring to the attention of the biomechanics community some essential features of one such model of the latter type due to Gent. This model is compared with isotropic versions of biomechanical constitutive models by Takamizawa-Hayashi and Fung; the latter is a limiting version of a power-law material. Two particular problems are considered for which experimental data on arterial wall deformations are available. The first concerns small oscillations superposed on a large static stretch of a vertical string of arterial tissue. It is shown that the exponential model of Fung and the Gent model match well with the experimental data. The second problem is the extension of an internally pressurized circular cylindrical tube. It is shown that an inversion phenomenon observed experimentally for the human iliac artery can be described within a membrane theory by the Gent model whereas this cannot be described using the exponential model. The foregoing considerations are carried out for isotropic elastic materials in the absence of residual stress. Extensions to include anisotropy are also indicated.

The effects of a maintained increase in mean arterial wall shear stress (SS(m)) caused by blood flow in the normal and reverse direction on dilatation of the iliac artery were examined in the anaesthetised dog. Blood flow in the left iliac artery was varied in both the forwards and reverse directions by a perfusion pump connecting the right and left femoral arteries. An increase in blood flow, and therefore SS(m) in either direction, caused an increase in arterial diameter. However, an increase in forwards SS(m) (control 4.1+/-0.11 mm) caused a significantly greater change in arterial diameter than an equivalent increase in the reverse direction (control 4.3+/-0.08), 0.198+/-0.02 mm vs. 0.132+/-0.02 mm (mean+/-SEM) respectively, for the same increase in SS(m) (3.23 N/m(2)). The increase in arterial diameter in response to an increase in forwards or reverse SS(m) was attenuated by L-NAME (80 mg/kg i.v.), indicating that the arterial dilatation was mediated by nitric oxide (NO). These findings confirm that endothelial NO release is dependent on the steady-state SS(m) and that the response occurs irrespective of the direction in which this force is applied, but is attenuated in the reverse direction.

Heat shock protein 72 (HSP72), the inducible isoform of the HSP70 family, is synthesized in exercised rat muscles and in the ischaemic heart. To determine the isolated and combined effects of chronic ischaemia and repeated exercise on skeletal muscle HSP72 expression, male Wistar rats were subjected to unilateral occlusion of the iliac artery. Beginning 1 week after ischaemia, half the rats were exercised on a motor-driven treadmill once a day, 5 days/week, the other half were restricted to cage activity. Rats were sacrificed after 2, 4, or 8 weeks of endurance training, together with the age-matched sedentary rats. Tissue samples were obtained from the plantaris and the red portion of the quadriceps of both hind-limbs. Endurance-trained rats displayed significantly increased HSP72 levels in skeletal muscles. Occlusion of iliac artery did not affect the HSP72 level in muscle from sedentary rats but enhanced that in the trained rats. Mitochondrial oxidative capacity, as assessed from cytochrome oxidase and citrate synthase activities, decreased during growth in sedentary animals, but was significantly improved by endurance training. Nevertheless, increased oxidative capacity induced by endurance training was partially prevented by arterial occlusion. It is concluded that both HSP72 levels and mitochondrial oxidative capacity are affected by ischaemia and training but these changes are not necessarily related. Whereas superimposition of chronic exercise on peripheral arterial insufficiency increased HSP72 levels, our results demonstrate that endurance training even for extended period of time is not effective for improving oxidative capacity of ischaemic muscle.

Instrumentation for the real-time clinical measurement of pulse wave velocity (PWV) from intra-arterial pressure waveforms is presented. This time delay between pressure waveforms (obtained from two intra- arterial catheter-mounted transducers 5 cm apart) is calculated by a transputer using multiple comparisons between discrete sections of the waveforms. The method is validated by analysis of digital and analogue signals with known time delays and is used to measure changes in PWV in the right common iliac artery (RCIA) during infusions of acetylcholine (2.4, 24 and 240 micrograms ml-1) in six healthy subjects. The system measures the delay between digitally shifted triangular waveforms and pressure waveforms to a precision of about 50 microseconds, and it is superior to measurements performed by hand using a high-performance digital storage oscilloscope. When used to measure the effects of acetylcholine on the RCIA, dose-dependent reductions in PWV are recorded (-85%, -11.6%, -14.5%). It is concluded that the instrumentation enables PWV to be measured with high accuracy and precision in real time, if the pressure signals are of high fidelity and the relative amplification of the signals is carefully balanced.

The cardiovascular responses evoked through the nasopharyngeal reflex by the inhalation of formaldehyde vapour were studied in conscious rabbits after bilateral electrolytic lesions of the ventrolateral medulla coinciding with the A1 group of catecholamine cells. Arterial blood pressure was measured in the central ear artery, heart rate was determined from the arterial pressure trace, and iliac blood flow was determined using a Doppler ultrasonic flow meter placed around the lower abdominal aorta. There were no significant changes in the heart rate, blood pressure and iliac conductance responses elicited through the nasopharyngeal reflexes of sham operated animals in which electrodes were inserted without the passage of current. The blood pressure changes produced by inhalation of formaldehyde in control rabbits were not significantly altered in animals with ventrolateral medullary lesions. However, the magnitude of the bradycardia and of the fall in iliac conductance evoked by the inhalation of formaldehyde were approximately halved 4 h and 1 day after the lesions but were fully restored at 2 weeks. These experiments suggest that the A1 group of catecholamine neurones help mediate the bradycardia and vasoconstriction elicited through nasopharyngeal reflexes in terrestial animals exposed to noxious vapours.