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Biomedical subjects

S Sideman

Publications and source records attributed to S Sideman.

At least 19 recordsLinked to original sources

A conical model to describe the nonuniformity of the left ventricular twisting motion.

The systolic contraction and fiber shortening in the left ventricle (LV) produces torsional moments in the myocardium, resulting in a gradient of angular displacements about the long axis. This is manifested as a counterclockwise rotation of the apex relative to the base, when viewed from the apex. Recent studies with magnetic resonance imaging (MRI), using noninvasive magnetic tags, have revealed three important properties of the LV twist: (a) The angle of twist (i.e., the angular rotation of a slice relative to the basal slice) is consistently higher at the endocardium as compared to the epicardium; (b) The twist increases towards the apex; and (c) Straight MRI-tagged radial lines at end-diastole (ED) are slightly curved at end-systole (ES), implying a nonlinear transmural variation of the twist. The present study suggests that the geometry of the LV at ES can be represented by a thick-walled hollow cone, and that the transmural twist patterns from ED to ES can be described using the continuum mechanics approach and a small strain analysis of an isotropic cone subjected to external torque. The predicted results are compared with the noninvasive MRI measurements of transmural twist in eight human volunteers. Given the epicardial angles of twist of each slice, the predicted endocardial angles of twist are in good correlation with the experimental findings (r = 0.86, slope = 1.09, SEE = 4.1 degrees). In addition, the model reliably describes the changes in the twist magnitude from apex to base (no significant difference from experimental values, P = 0.2), and predicts the curvilinear pattern at ES of the originally straight ED radial lines. Thus, the conical model with uniform properties of the LV, reliably predicts the nonuniformity of the twist patterns, implying that the LV twist is strongly affected by LV geometry.

Adult

Regional three-dimensional geometry and function of left ventricles with fibrous aneurysms. A cine-computed tomography study.

BACKGROUND: To assess the extent and nature of the dysfunction surrounding aneurysms of the left ventricle (LV), we examined the parameters of local and global three-dimensional shape, size, and function of LVs of eight patients with histologically confirmed anterior fibrous aneurysms. METHODS AND RESULTS: Three-dimensional reconstructions of each LV were made from 10-12 short-axis fast cine-angiographic computed tomography (cine-CT) slices encompassing the entire heart at end diastole and end systole. Regional three-dimensional wall thickness, thickening, motion, curvature, and stress index were calculated for 84 elements encompassing the entire LV. The aneurysmal border was defined by a sharp decrease in end-diastolic wall thickness and separated the LV into an aneurysmal zone and a normal zone that was further divided into adjacent normal (AN) and remote normal (RN) zones. As expected, thickening was negligible in both the aneurysmal and the border zones. Although both the AN and the RN zones had normal wall thickness (1.05 +/- 0.20 and 1.09 +/- 0.20 cm, respectively), thickening was depressed in the AN (0.22 +/- 0.08 cm) but not the RN (0.44 +/- 0.19 cm) zones. The size of the dysfunction zone (defined as less than 2 mm thickening) was found to be considerably greater than the anatomic size of the aneurysm (60.9 +/- 13.7% versus 33.6 +/- 7.6% of the left ventricular endocardial area, respectively; p less than 0.001). In addition, the AN zone had a smaller curvature and a higher stress index than the RN zone. CONCLUSIONS: LVs with fibrous aneurysms are characterized by a relatively large region of nonfunction that encompasses the thin aneurysmal area and its transitional border zone, a normally functioning remote zone, and an intermediate region of normal wall thickness but with reduced function, which may be attributed to its low curvature and high stress index.

Algorithms

The slope of the end-systolic pressure-volume relationship compared with the global end-systolic pressure-volume ratio in humans.

The slope of the end-systolic pressure-volume relationship (Emax), which is generated clinically by load manipulation, as well as the "absolute" peak systolic pressure end-systolic volume ratio (denoted as pressure-volume ratio), have been suggested as indices defining left ventricular function. This study represents an attempt to determine the relationship between these two indices by studying 20 patients (16 with coronary artery disease and 4 with normal coronary arteries) undergoing cardiac catheterization. Left ventriculography was performed three times in each patient: (1) in the control baseline state, (2) after rapid intravenous infusion of 250-300 cc of saline, and (3) after sublingual administration of 5 mg isosorbide dinitrate. Emax was approximated by linear regression using the peak left ventricular pressure (replacing end-systolic pressure) and the smallest left ventricular (end-systolic) volume for these three different loads. Acute ischemia with typical chest pain and ECG changes developed in 4 patients during saline loading. The pressure-volume ratio showed no change with load manipulation in patients who did not demonstrate ischemia. In the 4 patients who developed acute ischemia, the pressure-volume ratio dropped from 4.4 +/- 1.3 to 2.9 +/- 0.9 mmHg/ml (p less than 0.001). In all of the patients, the pressure-volume ratio, but not the Emax, correlated with the ejection fraction (r = 0.6; p less than 0.05). In addition, the Emax line demonstrated a markedly nonphysiological Vo. There was no correlation between Emax and pressure-volume ratio.(ABSTRACT TRUNCATED AT 250 WORDS)

Adolescent

Analysis and prediction of left ventricular performance under load changes during cardiac catheterization.

The applicability of a computer model, which relates the transmural mechanical distribution in the left ventricle (LV) to its global function at different loading conditions, was evaluated in patients with normal to near normal LV function undergoing cardiac catheterization. Left ventriculography and measurements of aortic and LV pressures were performed at baseline conditions and repeated following rapid volume expansion with intravenous infusion of 250 to 300 ml of physiologic saline and also after sublingual isosorbide-dinitrate (ISDN) administration. Twenty patients (18 men and 2 women, average age = 53 years) underwent coronary angiography and left ventriculography. Sixteen patients had coronary artery disease with one- to three-vessel involvement and 4 had normal coronary arteries. The measured input data into the model included the end-diastolic LV volume and wall thickness, aortic pressure, heart rate, and the peripheral resistance. The model parameters of myocardial contractility and arterial system capacitance for the control baseline conditions were estimated so that an accurate match was obtained between the predicted and the measured end-systolic (ES) volume and pressure. Using these parameters, model predictions for the two load perturbations were compared to the measurements. An excellent correlation was found between the predicted and measured LV ES volumes and peak-systolic pressures (PSP) (R2 greater than 0.994). In four patients, who developed ischemic symptoms during saline injection, the prediction of end-systole volumes were lower than the measured values, suggesting an actual reduction in contractility during acute ischemia. Therefore, the model is sensitive to contractility changes. The model predicts global LV performance, under different loading conditions, including stroke work, peak developed wall stress, velocity of fiber shortening, and myocardial oxygen consumption.

Cardiac Catheterization

Force interval relationship (FIR) related to the global function of the left ventricle: a computer study.

A model which relates the left ventricular (LV) geometry, structure and sarcomere properties to its global function, recently proposed by the authors, is extended to account for contractility changes which are a function of the heart rate, prematurity of the beat and calcium transients within the cell. To characterise LV function and relate it to fibre function under varying rhythm conditions, a model of muscle force restitution, based on calcium kinetics, was used to calculate the maximum fibre stress at the optimum sarcomere length sigma o as the parameter which depends on the heart rate, the test pulse interval TPI, the action potential duration APD and the restitution time constant. The global LV force interval relationship FIR was then calculated, and by comparing the calculated FIR to the experimental measurement (in dogs) at the ventricular level, the constants of the restitution of force at the fibre level were derived. Based on these constants, the LV function under ejecting conditions at various rhythm disturbances was calculated and related to the local, distributed parameters. This approach provides a tool to describe ventricular function as well as transmural distribution of stress and sarcomere length at a wide variety of loading and rhythm conditions based on given 'muscle level' parameters.

Biomechanical Phenomena

Mechanical pathophysiology of some heart diseases: a theoretical model study.

Sarcomere dynamics are related to the global left ventricular (LV) function in some representative pathological states, by using a theoretical model which combines sarcomere function, LV fibrous structure and geometry with the haemodynamic loading conditions. The analysis shows that pressure (concentric) hypertrophy due to hypertension or aortic stenosis is associated with an increase of the normal endocardial-to-epicardial gradient(s) of oxygen demand, which may be one of the causes for the development of endocardial fibrosis. The analysis also indicates that sarcomere shortening is relatively normal in compensated volume (eccentric) hypertrophy. Mitral stenosis demonstrates a case of decreased LV function, secondary to a chronic decrease in LV end diastolic volume, with sarcomeres that operate at their lowest length range. Conversely, the sarcomere function is depressed in cardiomyopathy; the heart's pumping function is maintained by appropriate adjustment mechanisms. However, the sarcomeres show minimal shortening and function at their highest length range with low (or zero) functional reserve. The study thus provides a quantitative tool that relates global LV function to local sarcomere dynamics in various pathological states.

Heart

Effect of hyper- and hypovolaemia on regional myocardial oxygen consumption.

STUDY OBJECTIVE - The purpose of the investigation was to study the effect of preload on coronary blood flow and myocardial oxygen consumption in subendocardial and subepicardial regions of left ventricular free wall. DESIGN - Ventricular volume in anaesthetised open chest dogs was altered over a range of 20% to produce hypovolaemia (10-15% exsanguination) or hypervolaemia (colloid infusion), allowing measurements of regional blood flow and oxygen consumption with varying preloads. beta Adrenergic blockade was used to limit changes in inotropy, and heart rate was kept constant by pacing at 150 beats.min-1. SUBJECTS - 9 mongrel dogs of either sex weighing 24.9 (SEM 4.1) kg were studied. MEASUREMENTS and RESULTS - Left ventricular volume was calculated from ultrasonic measurements of long and short axis end diastolic diameters and wall thickness. Regional myocardial blood flow was estimated using radioactive microspheres, and oxygen consumption in each region was determined from microspectrophotometric measurements of oxygen saturations in small arteries and veins. Hypervolaemia increased subepicardial blood flow from 66.8(6.9) (normovolaemic) to 114.1(13.5) ml.min-1.100 g-1, and regional oxygen consumption from 4.08(0.57) to 6.44(1.08) ml.min-1.100 g-1. Values in the subendocardium were similar, except for oxygen consumption, which increased less than in the subepicardium. Left ventricular end diastolic volume, pressure, and output were each increased in hypervolaemia, but not dP/dt and systolic aortic pressure. Hypovolaemia reduced blood pressures without reducing end diastolic volume. CONCLUSIONS - Augmented flow work produced by increased preload (even in the absence of changes in pressure work) increases myocardial oxygen supply equally in the subepicardium and the subendocardium, while oxygen extraction and consumption are preferentially augmented in the subepicardium.

Animals

Manipulation of external pressure as a method to assist the failing heart.

The development and state of the art in circulatory assistance using external pressure variations is reviewed. All of these techniques use the principle that by cyclic external pressure waves properly timed to the cardiac cycle, hemodynamic energy can be noninvasively transmitted to assist the circulation. Cyclic pressure waves to the lower body require that the high pressure phase occurs in diastole in order to augment cardiac output or coronary flow. In contrast, pressure waves to the chest would optimally augment cardiac output if they begin at the onset of ventricular systole. Manipulation of lung pressure by synchronized ventilation may be also utilized to augment cardiac output. The above methods are discussed in detail in the manuscript with special emphasis on the pathophysiology and mechanisms of cardiac assistance.

Animals

Three-dimensional mapping of acute ischemic regions using MRI: wall thickening versus motion analysis.

Three-dimensional (3D) endocardial wall motion and thickening were compared as quantitative methods for distinguishing ischemic from non-ischemic myocardium and for their potential to map regional left ventricular (LV) function. Data were obtained by gated magnetic resonance (MR) images in seven open-chest dogs with acute ischemia. The LVs were reconstructed in 3D at end diastole (ED) and end systole (ES) with a helical coordinate system that wraps the endocardium and epicardium. Thickness and percent wall thickening were calculated by a 3D volume element method. Wall motion was calculated by the 3D displacement of the endocardium perpendicular to the wall using both fixed and floating centroids. Monastral blue nonstaining identified the ischemic regions from five anatomical slices of the LV, which corresponded to the in vivo image planes. Thickening and motion were compared at the centers of the ischemic and the remote normal zones, in addition to comparing the functional maps of the entire LV to the postmortem anatomical maps. All methods distinguished between the center of the ischemic zone and the remote normal zone; however, thickening discriminated most strongly between zones. Comparison of the 3D in vivo maps with the 3D postmortem maps showed that the sensitivity, specificity, and overall accuracy of the thickening algorithm exceeded those obtained by the wall motion algorithms with fixed or floating centroids. Thus wall thickening utilizing the 3D volume element approach is superior to 3D wall motion algorithms in distinguishing ischemic from nonischemic zones and in mapping regional function in the entire LV.

Acute Disease

Optimal input design: case study of the metabolic process.

An optimal input of nutrients into the metabolic process of the individual subject so as to effect desired therapeutic results is particularly important for the critically ill. A patient-related, individualized nutrients optimization procedure is proposed here. The procedure is applicable to any time-invariant and deterministic metabolic model that is bound by one or more quantitative limiting criteria. As a case in hand, the procedure is used to optimize the individual metabolic needs of critically ill patients. The results indicate that, given a proper metabolic model, the patient may be treated on an individual appropriateness basis rather than on the traditional statistical intuitive approach.

Critical Care

Quantitative characterization and sorting of three-dimensional geometries: application to left ventricles in vivo.

A procedure for automatic sorting of three-dimensional (3-D) shapes is proposed. The procedure is applied to sort into normal and abnormal categories, human left ventricles (LV) using in vivo data from 19 subjects (ten normal and nine abnormal LV's) studied by ultrafast tomography (Cine-CT). The procedure starts by utilizing a vector in a helical coordinate system to describe the spatial geometry of each individual LV cavity. This individual vector is then anatomically aligned and normalized to eliminate effects due to size, yielding a dimensionless vector, denoted as "geometrical cardiogram" (GCG). The GCG characterizes the instantaneous 3-D geometrical information of the individual LV. For the group of healthy subjects, the Karhunen-Loeve Transform (KLT) is then applied to compress the geometric information contained in their individuals' GCG vectors, at end diastole (ED) and end systole (ES), and yield a unique set of basis vectors. The "normal shape domain" is next defined as a truncated set of the KLT basis vectors from which a normal GCG can be reconstructed with a mean squared error (MSE) smaller than a defined threshold. The calculated MSE of any individual GCG reconstructed in this domain is then used as a criterion for sorting the 3-D shapes. Hearts which yield MSE greater than the threshold are considered abnormal. When applied to the study group of 19 subjects a significant difference (p less than 0.0001) between the MSE values obtained for the normal LV's, and those obtained for the abnormal LV's was detected, thus leading to a successful sorting of all the studied LV's. Finally, the KLT is applied to yield a compact representation of the 3-D geometry of any LV (normal or abnormal).

Adolescent

Combining transmural left ventricular mechanics and energetics to predict oxygen demand.

This study relates to our earlier study which predicts the transmural distribution as well as the global left ventricular (LV) function and oxygen demand, based on the LV structure, geometry and sarcomere function. Here, we test the predicted global oxygen demand against experimental data in anesthetized, open chest dogs under changing working conditions. The experimental oxygen demand was calculated from the arterio-venous difference in oxygen content times the measured coronary flow. LV load was manipulated by a combination of a pressurized chamber connected to the femoral artery, phenylephrine infusion and an adjustable arteriovenous shunt. The heart was paced in two present heart rates. The study demonstrates that the global predictions, based on the local distributed oxygen demand model, are comparable to those obtained by other methods of global metabolic predictions. However, unlike other global methods, the distributed model gives spatial information and predicts an endo/epi ratio of oxygen demand ranging between 1.05 to 1.14, depending on the loading conditions, which is comparable to available experimental data. For the experimental conditions studied here (stroke volume, heart rate, aortic pressure), the theoretical analysis shows that only the end diastolic volume is significantly correlated to the endo/epi ratio of the transmural oxygen demand.

Animals

Nonlinear incompressible finite element for simulating loading of cardiac tissue--Part I: Two dimensional formulation for thin myocardial strips.

A two-dimensional incompressible plane-stress finite element is formulated for the simulation of the passive-state mechanics of thin myocardial strips. The formulation employs a total Lagrangian and materially nonlinear approach, being based on a recently proposed structural material law, which is derived from the histological composition of the tissue. The ensuing finite element allows to demonstrate the mechanical properties of a single myocardial layer containing uniformly directed fibers by simulating various loading cases such as tension, compression and shear. The results of these cases show that the fiber direction is considerably stiffer than the cross-fiber direction, that there is significant coupling between these two directions, and that the shear stiffness of the tissue is lower than its tensile and compressive stiffness.

Collagen

3-D ventricular myocardial electrical excitation: a minimal orthogonal pathways model.

This study is part of our attempt to develop a fast-responding interactive computer simulator of the left ventricle (LV) which describes the spatial and temporal myocardial characteristics and the global performance of the LV, accounting for the continuous interactions between the electrical activation sequence, fiber mechanics, blood perfusion and transmural metabolism and oxygen demand. Here, the activation propagation front throughout the healthy 3-dimensional LV myocardium is simulated in a macro global level by utilizing an analytical model based on the principle of the propagation of the electric activation signal along minimal pathways in an elliptically assumed LV geometry. The Purkinje network dominates the propagation at the endocardial layer while three orthogonal directions of propagation are assumed within the myocardium. The shortest path consists of the geodetic line at the endocardial layer and the normal that connects the endocardium with the point considered. The generated three-dimensional propagation front maps are in fair agreement with reported experimental data. The study thus presents a new approach that permits a quick reconstruction of the 3-D isochrons in a relatively simple but useful model of the normal heart.

Computer Simulation

Time-dependent coronary blood flow distribution in left ventricular wall.

A mathematical model of the coronary circulation in the left ventricular (LV) wall, which describes the time-dependent local blood perfusion throughout the myocardium and the coronary flow in the epicardial vessels, is presented. The myocardial perfusion is essentially controlled by the intramyocardial resistance and the coronary pressure driving force, whereas the epicardial arterial flow is dominated by the epicardial and intramyocardial arterial capacitance and the local transmural pressure on the vessels. The temporal and spatial intramural pressure [P im(y,t)], calculated based on a nested-shell spheroidal model of the LV, is used to evaluate the local intramural resistance to flow and the corresponding zero flow pressure. The calculation of the instantaneous flow in each layer is based on a local, time-dependent modification of the back-pressure concept. A function representing the local tonus of the small blood vessels [T wf(y)] is used to adjust the average coronary flow rate to the metabolic demand of each layer. The calculated results are compared with experimental data, and the assumptions of the model are examined against a variety of experimental conditions. The model provides a qualitative tool for comprehending the distributed flow phenomenon within the myocardium and its relation to cardiac mechanics and autoregulation.

Blood Pressure

Atrioventricular interactions: a theoretical simulation study.

A quantitative model that describes the complex atrioventricular interactions, based on the structure and myocardial properties of the left atrium (LA) and left ventricle (LV), is presented. The description of the LV follows our earlier study that assumes a nested-shell spheroidal structure with fanlike fiber angle distribution, transmural electrical activation velocity, and the muscle fiber dynamics with the classical passive and active features of the sarcomeres. The LV model is extended here to include an exponential load-dependent relaxation and viscous (strain rate-dependent) features of the LV passive myocardium. The proposed LA model is based on a thin-wall spherical geometry with a random fibrous structure. The atrial muscle features differ from the ventricular muscle by being much stiffer in the passive state and weaker but faster in the active state. The LV and LA compartments are connected to a preload and afterload scheme and interconnected by the mitral flow with its inertial properties. The complex interactions between the LA and the LV are thoroughly studied here, and the calculated results are consistent with well-established experimental data.

Atrial Function