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A simulation study of the effects of cardiac anatomy in ventricular fibrillation.

In ventricular fibrillation (VF), the principal cause of sudden cardiac death, waves of electrical excitation break up into turbulent and incoherent fragments. The causes of this breakup have been intensely debated. Breakup can be caused by fixed anatomical properties of the tissue, such as the biventricular geometry and the inherent anisotropy of cardiac conduction. However, wavebreak can also be caused purely by instabilities in wave conduction that arise from ion channel dynamics, which represent potential targets for drug action. To study the interaction between these two wave-breaking mechanisms, we used a physiologically based mathematical model of the ventricular cell, together with a realistic three-dimensional computer model of cardiac anatomy, including the distribution of fiber angles throughout the myocardium. We find that dynamical instabilities remain a major cause of the wavebreak that drives VF, even in an anatomically realistic heart. With cell physiology in its usual operating regime, dynamics and anatomical features interact to promote wavebreak and VF. However, if dynamical instability is reduced, for example by modeling of certain pharmacologic interventions, electrical waves do not break up into fibrillation, despite anatomical complexity. Thus, interventions that promote dynamical wave stability show promise as an antifibrillatory strategy in this more realistic setting.

Animals↗

Quantitative assessment of peripheral arterial obstruction in Raynaud's phenomenon: development of a predictive model of obstructive arterial cross-sectional area and validation with a Doppler blood flow study.

The objective of this study was to develop a method for the analytical assessment of arterial obstruction in conditions of Raynaud's phenomenon capable of providing diagnostic criteria. Numerous attempts have been made to determine and quantify arterial obstruction in terms of Doppler ultrasound measurements of arterial blood velocity. Absent from these methods is a formulation that allows an assessment of arterial obstruction based on the obstructed area as derived from direct measurement. The authors used spectral analysis of velocity signals from a pulsed, range-gated Doppler ultrasonic instrument to make quantitative measurements of arterial blood flow velocity in hands of normal subjects and persons with Raynaud's phenomenon. They measured the peak and mean velocity during the cardiac cycle and the time integral of the velocity signal over the cardiac cycle. These measurements for two distinct hemodynamic states induced by temperature changes allowed them to calculate the fractional change in arterial cross-sectional area produced by the change in temperature through the application of a hydraulic model of digital arterial circulation. They found an equation expressing fractional obstructed area expressed as: dA/A = 2 (dD - taudv - vtau)/(D + vdtau), where D is the time integral of the velocity signal; tau is the blood flow interval, v is the blood velocity; and dD, dtau and dv are the differences in D, tau, and v at two different hemodynamic states produced by two different temperature states. Their findings suggest that over a temperature range of 35 degrees-25 degrees C, normal subjects experience 0.05/ degrees C reduction in cross-sectional area while Raynaud subjects experience a reduction of 5.8%/degrees C. The results, based on findings in 13 subjects, suggest that Doppler ultrasound can differentiate persons with Raynaud's phenomenon from normal subjects. Additionally, the hydraulic model appears to offer the potential of assessing relative stenotic area in other arterial obstructive diseases.

Adult↗

Computerized three-dimensional finite element reconstruction of the left ventricle from cross-sectional echocardiograms.

A computerized method for the generation of a three-dimensional finite element mesh of left ventricular geometry is presented. The technique employs two dimensional echocardiographic images of the left ventricle. The echocardiographic transducer is attached to an articulated, computer-assisted, position registration arm with six degrees-of-freedom. These six degrees-of-freedom record the location and orientation of the transducer, when images are obtained, referenced to an external point. Hence, the images are digitized and aligned relative to one another, then several interpolation and curve fitting steps are used to reconstruct a three-dimensional finite element model of the left ventricle. The finite element model can be used for volume determination, stress analysis, material property identification, and other applications.

Computers↗

Idiopathic hypertrophic subaortic stenosis. III. Analysis of the myocardial fibre shortening of the free left ventricular wall by means of geometric models.

Left ventricular cineangiographic data from 4 patients with idiopathic hypertrophic subaortic stenosis (IHSS) and 10 control patients have been analysed by means of geometric models. The myocardial fibre shortening of the free left ventricular wall in IHSS has been compared with the fibre shortening of the left ventricular wall in the control group. During the first half of systole, the fibre shortening occurs equally fast in the two groups, but during the second half it lags clearly behind in the IHSS group. The stroke volume is ejected much faster in the IHSS group and the ejection fraction is much higher. This is caused by several factors related to both functional and anatomic derangements of the left ventricle and the interventriclar septum: (1) A hypertrophic septum contracting isometrically with no persisting concavity away from the left ventricular cavity, acting as a suspender, and the posterior wall encroaching upon the septum in a slit-like manner. (2) Some increase in septal thickness narrowing the ventricular cavity. (3) A hypertrophic nonseptal ventricular wall. (4) A long ventricular cavity relative to the width. (5) A shallow left ventricular cavity. (6) A somewhat smaller EDV than normal.

Adult↗

Rotating step-wedge technique for extraction of luminal cross-sectional area information from single plane coronary cineangiograms.

A cinedensitometric technique for extracting luminal cross-sectional area information is described. Linearization of cineangiographic gray scale with contrast medium thickness was achieved by use of a rotating step-wedge technique. Accuracy of the technique was estimated by filming, over the heart, contrast medium-filled cylindrical phantoms of diameters simulating a wide range of stenosis of a coronary artery. Expressed as (per cent stenosis), a mean error of 3.6 +/- 3.4 per cent between measured and known values of 72 cross-sectional area ratios was found (r = 0.981), and was significantly less than a 7.6 +/- 6.5 per cent error associated with area ratios derived from diameter measurements alone (p less than 0.005).

Absorptiometry, Photon↗

Computerized quantitation of atherosclerosis in an experimental model. Arteriography and microdensitometry.

Model investigations for computerized quantitation of atherosclerotic plaques by a combination of arteriography and microdensitometry were performed. The correlation between real and densitometrically determined plaque volumes was high (r = 0.987) in examinations of randomly distributed plaques. The results indicate that this method can be useful in the clinical examination of patients with atherosclerosis.

Angiography↗

A hybrid mock circulatory system: development and testing of an electro-hydraulic impedance simulator.

Mock circulatory systems are used to test mechanical assist devices and for training and research purposes; when compared to numerical models, however, they are not flexible enough and rather expensive. The concept of merging numerical and physical models, resulting in a hybrid one, is applied here to represent the input impedance of the systemic arterial tree, by a conventional windkessel model built out of an electro-hydraulic (E-H) impedance simulator added to a hydraulic section. This model is inserted into an open loop circuit, completed by another hybrid model representing the ventricular function. The E-H impedance simulator is essentially an electrically controlled flow source (a gear pump). Referring to the windkessel model, it is used to simulate the peripheral resistance and the hydraulic compliance, creating the desired input impedance. The data reported describe the characterisation of the E-H impedance simulator and demonstrate its behaviour when it is connected to a hybrid ventricular model. Experiments were performed under different hemodynamic conditions, including the presence of a left ventricular assist device (LVAD).

Computer Simulation↗

Numerical simulation of carotid hemodynamics in patients with rotary blood pump cardiac assist.

In recipients of rotary blood pumps for cardiac assist, the pulsatility of arterial flow is considerably diminished. This influences the shear stress patterns and streamlines in the arterial bed, with potential influence on washout and subsequent plaque growth. To study these effects, a three-dimensional computer simulation of the carotid bifurcation at various levels of flow pulsatility was performed. The results showed that as expected pulsatile shear stress varied considerably, whereas local mean shear stress levels were nearly identical for all degrees of pulsatility. Particle residence time in the carotid bulb did only increase for less than 15%, with secondary washout patterns contributing to good washout also in nonpulsatile conditions. It is concluded that also under continuous pump support the local flow patterns in the carotids provide sufficient washout and fluid exchange to prevent excessive plaque growth.

Carotid Arteries↗

Long-term clinical and cost outcomes of treatment with biphasic insulin aspart 30/70 versus insulin glargine in insulin naïve type 2 diabetes patients: cost-effectiveness analysis in the UK setting.

OBJECTIVES: To evaluate the long-term clinical and cost outcomes associated with biphasic insulin aspart 30/70 (BIAsp 30/70, premixed 30% soluble and 70% protaminated insulin aspart in one injection) compared to insulin glargine treatment in insulin-naïve type 2 diabetes patients failing oral antidiabetic agents in the UK, based on findings recently reported from the INITIATE clinical trial. METHODS: The CORE Diabetes Model, a published, peer-reviewed and validated model of diabetes, was used to evaluate life expectancy, quality-adjusted life expectancy, cumulative incidence of complications and direct medical costs over patient lifetimes. The model simulates the range of diabetic complications and disease progression within a series of sub-models (cardiovascular disease, neuropathy, renal and eye disease) based on published data. Baseline cohort characteristics (54.5% male, mean age 52.45 years, mean diabetes duration 9 years, mean HbA(1c) 9.77%) and treatment effects were based on INITIATE. Costs were derived from published UK sources. The analysis was run over a 35-year time horizon (patient lifetime) from a third party payer perspective. Costs and clinical benefits were discounted at 3.5% per annum. Sensitivity analyses were performed. RESULTS: BIAsp 30/70 was associated with projected improvements in discounted life expectancy (0.19 +/- 0.20 years) and quality-adjusted life expectancy (0.19 +/- 0.14 quality-adjusted life years [QALYs]), as well as a reduced incidence of retinopathy and nephropathy complications, versus glargine. Total lifetime direct costs were 1319 pounds higher with BIAsp 30/70 than with glargine leading to an incremental cost-effectiveness ratio of 6951 pounds per QALY gained. CONCLUSIONS: This study is the first to address the long-term health economic implications of treating type 2 diabetes patients failing oral anti-diabetics with a biphasic insulin mix versus long-acting insulin. Our projections indicate that improved HbA1c levels with BIAsp 30/70 treatment are associated with improvements in life expectancy and quality-adjusted life expectancy, and that BIAsp 30/70 represents excellent value for money compared to insulin glargine in the UK.

Adult↗

Regional differences in APD restitution can initiate wavebreak and re-entry in cardiac tissue: a computational study.

BACKGROUND: Regional differences in action potential duration (APD) restitution in the heart favour arrhythmias, but the mechanism is not well understood. METHODS: We simulated a 150 x 150 mm 2D sheet of cardiac ventricular tissue using a simplified computational model. We investigated wavebreak and re-entry initiated by an S1S2S3 stimulus protocol in tissue sheets with two regions, each with different APD restitution. The two regions had a different APD at short diastolic interval (DI), but similar APD at long DI. Simulations were performed twice; once with both regions having steep (slope > 1), and once with both regions having flat (slope < 1) APD restitution. RESULTS: Wavebreak and re-entry were readily initiated using the S1S2S3 protocol in tissue sheets with two regions having different APD restitution properties. Initiation occurred irrespective of whether the APD restitution slopes were steep or flat. With steep APD restitution, the range of S2S3 intervals resulting in wavebreak increased from 1 ms with S1S2 of 250 ms, to 75 ms (S1S2 180 ms). With flat APD restitution, the range of S2S3 intervals resulting in wavebreak increased from 1 ms (S1S2 250 ms), to 21 ms (S1S2 340 ms) and then 11 ms (S1S2 400 ms). CONCLUSION: Regional differences in APD restitution are an arrhythmogenic substrate that can be concealed at normal heart rates. A premature stimulus produces regional differences in repolarisation, and a further premature stimulus can then result in wavebreak and initiate re-entry. This mechanism for initiating re-entry is independent of the steepness of the APD restitution curve.

Action Potentials↗

3D geometric reconstruction of thoracic aortic aneurysms.

BACKGROUND: The thoracic aortic aneurysm (TAA) is a pathology that involves an expansion of the aortic diameter in the thoracic aorta, leading to risk of rupture. Recent studies have suggested that internal wall stress, which is affected by TAA geometry and the presence or absence of thrombus, is a more reliable predictor of rupture than the maximum diameter, the current clinical criterion. Accurate reconstruction of TAA geometry is a crucial step in patient-specific stress calculations. METHODS: In this work, a novel methodology was developed, which combines data from several sets of magnetic resonance (MR) images with different levels of detail and different resolutions. Two sets of images were employed to create the final model, which has the highest level of detail for each component of the aneurysm (lumen, thrombus, and wall). A reference model was built by using a single set of images for comparison. This approach was applied to two patient-specific TAAs in the descending thoracic aorta. RESULTS: The results of finite element simulations showed differences in stress pattern between the coarse and fine models: higher stress values were found with the coarse model and the differences in predicted maximum wall stress were 30% for patient A and 11% for patient B. CONCLUSION: This paper presents a new approach to the reconstruction of an aneurysm model based on the use of several sets of MR images. This enables more accurate representation of not only the lumen but also the wall surface of a TAA taking account of intraluminal thrombus.

Aortic Aneurysm, Thoracic↗

Computer modeling of intracranial saccular and lateral aneurysms for the study of their hemodynamics.

There is strong evidence indicating hemodynamic stress as an underlying cause for saccular intracranial aneurysm growth, thrombosis, and/or rupture. We examined flow fields encountered in models of cerebral aneurysms having a lateral (originating from the side of an artery, not at a branch point) geometric configuration. Shear stress and pressure gradients acting on aneurysm walls under a variety of flow and geometric conditions were evaluated. For this purpose, a two-dimensional finite-element computer model of lateral aneurysms in a steady-flow state was developed. Three idealized aneurysm shapes were studied, half-spherical, spherical, and pear-shaped. The ostium width of the cerebral aneurysm, relative to the radius of the parent artery and the Reynolds number, were also varied. Maximal shear stresses and maximum pressures (for an ostium width of 2 times the radius of the parent artery) were typically found at the downstream site of the ostium, rather than at the dome of the aneurysm. In general, the highest shear stresses and the lowest pressures (at the distal portion of the ostium) were obtained in the spherical aneurysm, whereas the lowest shear stresses and the highest pressures were found in the half-spherical aneurysm. The location of maximal stresses (shear and pressure) at the distal region of the ostium suggests that growth and/or rupture may well proceed from this point. Such findings are in contrast to the commonly held opinion that aneurysm rupture occurs at the dome. Careful pathological investigation will need to be performed to clarify this finding. The results of this preliminary investigation also indicate that the flow field in lateral aneurysms is highly dependent on a number of factors related to flow and geometric parameters. Geometry seems to be a significant mediator of local magnitudes of stress. Thus, the tendency for growth or thrombosis may be influenced by variations in size or shape.

Aneurysm, Ruptured↗

The vibration of an artery-like tube conveying pulsatile fluid flow.

A hybrid method for investigating pulsatile fluid flow in a long, thin, artery-like tube subjected to external excitations is presented. The non-linear partial differential equations governing the motion of the system, which incorporate the influence of circumferential strains, are solved by a combination of a finite element method, a finite difference method and a method of characteristics with interpolation. An initially axially stretched elastic tube conveying pulsating fluid, simply supported at both ends, is modelled to assess the effect of external harmonic excitation on the dynamic responses of the tube and the fluid flow. The results agree well with new experimental data. Comparison of the predicted results with those of a decoupled model demonstrates that it is necessary to consider the mechanism of fluid-structure interaction fully in the study of initially stretched cylindrical tubes conveying pulsatile fluid flow. An analysis of these coupling effects is presented for Womersley numbers alpha = 2.81 and 3.97 and a mean flow Reynolds number Re = 875.

Aorta↗

On an ambulance stretcher suspension concerned with the reduction of patient's blood pressure variation.

The design process and control of an ambulance stretcher suspension to reduce patient's blood pressure variation (BPV) is discussed. The BPV caused by applying the vehicle brakes may lead to deterioration of a patient's condition. The proposed method can reduce BPV by tilting the stretcher and counterbalancing back-to-front acceleration of the ambulance with gravity. The experimental results obtained when using a manually controlled stretcher confirm that BPV is reduced by tilting the stretcher. A continuous control method that varies the tilting angle is investigated through simulation analysis. The results show that this control method reduces the BPV effectively and achieves safe transport of the patient.

Acceleration↗

Comparison of flow in numerical and physical models of a ventricular assist device using low- and high-viscosity fluids.

The flows in a model of a ventricular assist device (VAD) were investigated numerically and experimentally for two different Newtonian test fluids. These were a blood analogue fluid and a much higher viscosity fluid. A finite volume method was employed to solve the governing equations for a three-dimensional unsteady laminar flow on a transient grid. The numerical solutions were compared with experimental results from an identical physical model. The experimental flows were investigated by flow visualization and by laser Doppler velocity measurements at selected points in the flow field. The validation was based on comparisons of flow patterns and of non-component velocity-time histories. The maximum Reynolds numbers in the inflow tube of the model VAD were approximately 460 and 3300 using the high- and low-viscosity fluids respectively. The investigation showed that the flow patterns were better predicted for the high-viscosity fluid. However, the agreement between the velocity-time histories was found to be slightly better for the low-viscosity fluid. The discrepancies in the flow patterns may be due to intermittent turbulence with a further contribution from numerical diffusion.

Blood Flow Velocity↗

Mathematical model of the effects of mechanical vibration on crossbridge kinetics in cardiac muscle.

We previously reported that the application of an external mechanical vibration to the epicardial surface caused a vibration-induced-depression (VID) of left ventricular (LV) function. The magnitude of the VID of peak LV pressure increased as either the amplitude or the frequency of the vibration increased. When LV contractility was altered by the administration of propranolol or by continuous infusion of dobutamine, the magnitude of the VID of peak LV pressure was inversely correlated with LV contractility. These characteristics were observed in open-chest and isolated canine preparations. In the present study, we constructed a muscle model to obtain a theoretical explanation for these effects. This model was first proposed by Gray, Gonda and Cheung, and has been extended in this report to explain twitch tension. This new, improved model is able to explain twitch tension and the effects of external vibration on twitch contraction semi-quantitatively. The successful predictions of the this model support the idea that external vibration directly affects contractile protein and modulates crossbridge kinetics.

Adenosine Triphosphatases↗

Pharmacological studies on BB-1502, a new bronchodilator.

The pharmacological activities of BB-1502 (9-cyclohexyl-2-n-propoxy-9H-adenine), a potent bronchodilator and inhibitor of cyclic AMP phosphodiesterase, were compared with those of aminophylline in a number of biological systems. IOn vitro, BB-1502 relaxed guinea pig tracheal tissue at a concentration ca. 600 times lower than that required for aminophylline. The ability of BB-1502 to inhibit cyclic AMP phosphodiesterase of guinea pig lung origin was 15 times greater than that of aminophylline. The direct bronchodilator activity of BB-1502 determined in guinea pigs by the intraduodenal route was 5 times greater and the duration of the action longer than that of aminophylline. In dogs, intraduodenal BB-1502 inhibited bronchoconstriction induced by pilocarpine, histamine, or acetylcholine and the activity of the new compound was 4 to 7 times more potent than that of aminophylline. In experimental asthma studies, orally administered BB-1502 protected guinea pigs from allergy-induced asthma provoked by an antigen challenge with aerosolized egg albumin and here the potency was 4 times greater that that of aminophylline. Ascaris antigen-induced asthma in dogs was completely inhibited by the oral administration of BB-1502 in a dose of 1 mg/kg with significant protection seen at 0.3 and 0.1 mg/kg. No complete protection was obtained with aminophylline in the dog asthma model. Cardiovascular effects observed with guinea pigs and dogs following the oral administration of BB-1502 were considerably less than those seen with aminophylline. CNS side effects were nil in rats when BB-1502 was given at 3 times the dose that produced significant stimulation by aminophylline. Acute lethal toxicity determined in mice by the oral route was similar for BB-1502 and aminophylline.

3',5'-Cyclic-AMP Phosphodiesterases↗

[Coagulation, inflammation and immune response -- an evolutionary conserved plan as cause for disseminated intravasal coagulation?].

The concomitant activation of the immune response and the coagulation system in response to injury represents a phylogenetic old and adaptive principle already present in the early eukaryotic development. The close connection between coagulation, inflammation, and immune defense has been conserved during evolution and can still be found in humans in a number of physiologic reactions to potentially detrimental effects.

Biological Evolution↗