Estimates of regional work in the canine left ventricle

Assessment of the magnitude of regional myocardial work requires knowledge of regional fiber stress and fiber shortening. The theoretical development and experimental validation of a method is presented which used values of estimated active and passive fiber stress according to a fluid-fiber model, and measured fiber strain values. This enables the construction of regional stress-strain diagrams, a regional analog of the pressure-volume area model by Suga and co-investigators, which can be linked to regional oxygen consumption. In the left ventricle, either normally or asynchronously activated, the method yields reliable data on strain and active and passive fiber stress. The relation between estimated regional work and myocardial oxygen demand is in quantitative agreement with previously reported relations between global oxygen demand and measured pressure-volume area. During coronary artery occlusion, however, these values were less reliable, which might be due to inaqdequate knowledge of the (passive) material properties of the myocardium.     

Psychrometric pressure-volume analysis of osmoregulation in roots, shoots, and whole sporophytes of salinized ceratopteris

Osmotic and turgor adjustment in roots, shoots, and whole sporophytes of a NaCl-tolerant mutant and a NaCl-sensitive wild-type strain of the fern Ceratopteris richardii Brongn. were characterized following exposure to 60 millimolar NaCl, using a psychrometric approach to pressure-volume analysis. Water potential components of whole plants and shoots at full or ambient hydration were similar between strains. Roots of the mutant, however, had osmotic potentials at full turgor and water potentials at zero turgor which were lower (0.32 and 0.46 megapascal, respectively) than those in roots of the wild type after salinization. Although compromised in the absence of NaCl, sporophytes of the mutant strain were larger and much less necrotic in 60 millimolar NaCl after 17 days, compared to the wild type. Root growth in the mutant strain was unaffected by salinization and far exceeded root growth in the wild type. Correlation coefficients of the linear regression and the general consistency and precision of the pressure-volume data demonstrated the feasibility of using PV curves for estimating water potential components of roots. The technique should also provide a means of studying osmoregulation in a variety of other rapidly equilibrating plant tissues.     

Rodent Working Heart Model for the Study of Myocardial Performance and Oxygen Consumption

Isolated working heart models have been used to understand the effects of loading conditions, heart rate and medications on myocardial performance in ways that cannot be accomplished in vivo. For example, inotropic medications commonly also affect preload and afterload, precluding load-independent assessments of their myocardial effects in vivo. Additionally, this model allows for sampling of coronary sinus effluent without contamination from systemic venous return, permitting assessment of myocardial oxygen consumption. Further, the advent of miniaturized pressure-volume catheters has allowed for the precise quantification of markers of both systolic and diastolic performance. We describe a model in which the left ventricle can be studied while performing both volume and pressure work under controlled conditions. In this technique, the heart and lungs of a Sprague-Dawley rat (weight 300-500 g) are removed en bloc under general anesthesia. The aorta is dissected free and cannulated for retrograde perfusion with oxygenated Krebs buffer. The pulmonary arteries and veins are ligated and the lungs removed from the preparation. The left atrium is then incised and cannulated using a separate venous cannula, attached to a preload block. Once this is determined to be leak-free, the left heart is loaded and retrograde perfusion stopped, creating the working heart model. The pulmonary artery is incised and cannulated for collection of coronary effluent and determination of myocardial oxygen consumption. A pressure-volume catheter is placed into the left ventricle either retrograde or through apical puncture. If desired, atrial pacing wires can be placed for more precise control of heart rate. This model allows for precise control of preload (using a left atrial pressure block), afterload (using an afterload block), heart rate (using pacing wires) and oxygen tension (using oxygen mixtures within the perfusate).     

Turgor Regulation via Cell Wall Adjustment in White Spruce

Turgor regulation at reduced water contents was closely associated with changes in the elastic quality of the cell walls of individual needles and shoots of naturally drought-resistant seedlings of white spruce (Picea glauca [Moench] Voss.) and of seedlings of intermediate resistance that had been pretreated with paclobutrazol, a stress-protecting, synthetic plant-growth regulator. Paclobutrazol-treated seedlings showed marked increases in drought resistance, and pressure-volume analysis combined with Chardakov measurements confirmed observations that water stress was ameliorated during prolonged drought. Turgor was maintained in the paclobutrazol-treated and in the naturally resistant drought-stressed seedlings despite water contents near or below the turgor-loss volumes of well-watered controls. The maintenance of turgor in these seedlings was in large part a function of the dynamic process of cell wall adjustment, as reflected by marked reductions in both the saturated and turgor-loss volumes and by large increases in the elastic coefficients of the tissues. Shear and Young's moduli, calculated from pressure-volume curves and the radii and wall thicknesses of mesophyll cells, also confirmed observed changes in the elastic qualities of the cell walls. Elastic coefficients of well-watered, paclobutrazol-treated seedlings were consistently larger than those in well-watered controls and several times larger than the values in untreated plants, which succumbed rapidly to drought. In contrast, untreated seedlings that withstood prolonged drought without wilting displayed elastic coefficients similar to those in seedlings that had been treated with paclobutrazol but that had not been exposed to drought.     

Pressure – volume curves and drought injury

Leaf hygrometers were used to establish pressure-volume curves on detached leaves of four herbaceous species ( Asarum europaeum , L., Hepatica nobilis , Mill., Phyteuma spicatum , L., Pulmonaria officialis , L.). Breakdown of leaf tissues due to drought injury was independently estimated. There was good agreement between the onset of visible symptoms and beginning deviations from the straight-line portion of the pressure-volume curve. Type I transformation of data (plots of water potential vs. reciprocal relative water content) is superior for recognizing deviating data points. The results are discussed in the context of pressure-volume curve methodology; pressure-volume curves are shown to provide a promising tool for estimating and displaying drought tolerance in plants.     

Effects of external pressures on the pressure-volume relation of the left ventricle

The effects of ventricular geometry, muscle mass, muscle elasticity and external pressures on the pressure-volume and muscle stiffness-stress relations have been quantitated on the basis of a theoretical model. Data taken from patients before and after interventions with nitroprusside and angiotensin were applied to the model in order to explain the possible causes for the marked shifts in the pressure-volume relations. The results indicate that (a) ventricular geometry does not markedly alter the pressure-volume and stiffness-stress relations unless there is a drastic change from a spherical shape to an ellipsoidal shape orvice versa, (b) increases in muscle mass and muscle elasticity of the order of 30% result in significant alterations in the P-V relations but are not the cause for the parallel shifts unless accompanied by substantial external pressures, (c) the parallel shifts in the pressure-volume relations can be accounted for entirely by the presence of external pressures without changes in muscle mass or muscle elasticity. Thus manipulation of right ventricular pressures or pericardial pressures by drug interventions may be useful in the treatment of left heart disease and the presence of such pressures must be considered in the analysis of ventricular function curves.     

Analysis of elastic and surface tension effects in the lung alveolus using finite element methods

Displacement method finite element theory is used to examine the structural and elastic properties of the constituent network of elastin and collagen of the alveoli that form the mammalian lung. The role of the surface tension of pulmonary surfactant of the lung is also examined using an area-dependent relationship inferred from experimental studies. The pressure-volume (PV) curves of the resulting model are found to compare favourably with measured pressure-volume curves for whole lungs filled with air (surface tension included) and saline (no surface tension effects).     

Water Relations of Cotton Plants under Nitrogen Deficiency: I. Dependence upon Leaf Structure

Cotton plants (Gossypium hirsutum L.) grown on deficient levels of N exhibited many of the characteristics associated with drought resistance. In N-deficient plants, leaf areas and leaf epidermal cells were smaller than at the same nodes in high-N plants. N-deficient leaves lost only about half as much water per unit change in water potential as did high-N leaves. In addition, they maintained a greater relative water content than high-N leaves at any given potential. Osmotic potentials (determined from pressure-volume curves) were slightly lower in N-deficient leaves. This difference in solute concentration was not from organic acids, which were almost unchanged. Sugar concentrations could account for only about 25% of the difference.     

Deformation of the Diastolic Left Ventricle: I. Nonlinear Elastic Effects

A linear incremental finite element model is used to analyze the mechanical behavior of the left ventricle. The ventricle is treated as a heterogeneous, non-linearly elastic, isotropic, thick-walled solid of revolution. A new triaxial constitutive relation for the myocardium is presented which exhibits the observed exponential length-passive tension behavior of left ventricular papillary muscle in the limit of uniaxial tension. This triaxial relation contains three parameters: (a) a “small strain” Young's modulus, (b) a Poisson's ratio, and (c) a parameter which characterizes the nonlinear aspect of the elastic behavior of heart muscle. The inner third and outer two-thirds of the ventricular wall are assumed to have small strain Young's moduli of 30 and 60 g/cm², respectively. The Poisson's ratio is assumed to be equal to 0.49 throughout the ventricular wall. In general, the results of this study indicate that while a linearly elastic model for the ventricle may be adequate in terms of predicting pressure-volume relationships, a linear model may have serious limitations with regard to predicting fiber elongation within the ventricular wall. For example, volumes and midwall equatorial circumferential strains predicted by the linear and nonlinear models considered in this study differ by approximately 20 and 90%, respectively, at a transmural pressure of 12 cm H₂O.     

Factors influencing the diastolic pressure-volume relation of the cardiac ventricles

The diastolic pressure-volume relationship of either ventricle is a direct measure of the properties of its chamber. While this relation is, to a large extent, determined by the myocardium and its mechanical properties, there are a number of physiological factors that are also capable of influencing the diastolic pressure-volume-relation. This review examines our current understanding of the importance of a number of these factors with respect to the diastolic properties of the chamber. The factors discussed are heart rate, arterial pressure, coronary perfusion pressure, the pericardium, and the mechanical interplay between ventricles. The influence of heart rate, arterial pressure, and coronary perfusion pressure can be considered as minor provided they remain within their normal physiological range. On the other hand, the diastolic pressure-volume relation is highly dependent on the volume in the other ventricle, particularly in the presence of the pericardium. An awareness and understanding of the interrelationship between these factors and the diastolic pressure-volume relation is essential when evaluating the properties of the chamber and when such pressure-volume data are used to estimate the mechanical properties of the myocardium.     

Leaf hygrometer v. pressure chamber: a comparison of pressure–volume curve data obtained on single leaves by alternating measurements

Abstract. Data for the construction of pressure-volume curves were obtained by measuring water potentials of detached leaves repeatedly and alternately, with a pressure chamber and a leaf hygrometer. Good agreement between the parameters of the two resulting curves was observed. Regression lines on values after the loss of turgor were always more negative for the thermocouple data, with a maximum difference for the osmotic potential at full saturation of 0.25 MPa in Triticum and a minimum of 0.01 MPa in Populus. Neither the slopes of the regression lines nor the intercepts with the axes were statistically different. We see no reason for using one of these two unrelated methods as a standard against which the other is calibrated. Implications for the theory of pressure-volume curves are discussed.     

Pressure-volume-based single-beat estimations cannot predict left ventricular contractility in vivo

The end-systolic pressure-volume relationship is regarded as a useful index for assessing the contractile state of the heart. However, the need for preload alterations has been a serious limitation to its clinical applications, and there have been numerous attempts to develop a method for calculating contractility based on one single pressure-volume loop. We have evaluated four of these methods. Pressure-volume data were obtained by combined pressure and conductance catheters in 37 pigs. All four methods were applied to 88 steady-state pressure-volume files, including eight files sampled during dopamine infusions. Estimates of single-beat contractility (elastance) were compared with preload-varied multiple-beat elastance [E(es(MB))]. All methods had a low average bias (-0.3 to 0.5 mmHg/ml) but limits of agreement (+/-2 SD) were unacceptably high (+/-2.6 to +/-3.8 mmHg/ml). In the dopamine group, E(es(MB)) showed an increase of 1.7 +/- 0.8 mmHg/ml (mean +/- SD) compared with baseline (P < 0.001). None of the single-beat methods predicted this increase in contractility. It is therefore doubtful whether any of the methods allow for single-beat assessment of contractility.     

Assessment of systolic and diastolic ventricular properties via pressure-volume analysis: a guide for clinical, translational, and basic researchers

Assessment of left ventricular systolic and diastolic pump properties is fundamental to advancing the understanding of cardiovascular pathophysiology and therapeutics, especially for heart failure. The use of end-systolic and end-diastolic pressure-volume relationships derived from measurements of instantaneous left ventricular pressure-volume loops emerged in the 1970s as a comprehensive approach for this purpose. As invasive and noninvasive techniques for measuring ventricular volume improved over the past decades, these relations have become commonly used by basic, translational, and clinical researchers. This review summarizes 1) the basic concepts underlying pressure-volume analysis of ventricular and myocardial systolic and diastolic properties, 2) deviations from ideal conditions typically encountered in real-life applications, 3) how these relationships are appropriately analyzed, including statistical analyses, and 4) the most common problems encountered by investigators and the appropriate remedies. The goal is to provide practical information and simple guidelines for accurate application and interpretation of pressure-volume data as they pertain to characterization of ventricular and myocardial properties in health and disease.     

Effects of airway versus arterial CO2 changes on lung mechanics in dogs.

The effects of changes in airway CO2 partial pressure (PAco2) and arterial CO2 partial pressure (Paco2) on lung mechanics were studied in dogs by utilizing unilateral pulmonary artery occlusion and a tracheal divider which allowed separate variation of PAco2 and Paco2. When Paco2 was held at a reasonably normal level, lower than normal PAco2 levels resulted in large compliance decreases, alteration of the complete static pressure-volume curves, and increases in resistance. Invreases in PAco2 to hypercapnic levels did not produce changes. When PAco2 was held at a reasonably normal level, changes in Paco2 levels were positively and directly related to resistance with small and inconsistent effects on compliance and on complete static pressure-volume curves. A combination of low PAco2 and high Paco2 produced large increases in resistance, alterations of the static pressure-volume curve, and decreases in compliance. Vagotomy during the combined stimulus resulted in only a decrease in resistance without change in lung elastic properties. The results suggest that the mechanical effects of airway hypocapnia and systemic hypercapnia are additive. However, small airways effects of low PAco2 appear to be maximal and uninfluenced by the vagally mediated response to Paco2 increases.     

Effects of age on elastic moduli of human lungs.

The model of the lung as an elastic continuum undergoing small distortions from a uniformly inflated state has been used to describe many lung deformation problems. Lung stress-strain material properties needed for this model are described by two elastic moduli: the bulk modulus, which describes a uniform inflation, and the shear modulus, which describes an isovolume deformation. In this study we measured the bulk modulus and shear modulus of human lungs obtained at autopsy at several fixed transpulmonary pressures (Ptp). The bulk modulus was obtained from small pressure-volume perturbations on different points of the deflation pressure-volume curve. The shear modulus was obtained from indentation tests on the lung surface. The results indicated that, at a constant Ptp, both bulk and shear moduli increased with age, and the increase was greater at higher Ptp values. The micromechanical basis for these changes remains to be elucidated.     

The tissue water relationships of Callitris columellaris,Eucalyptus melliodora and Eucalyptus microcarpa investigated using the pressure-volume technique

Using the pressure-bomb to construct pressure-volume curves, a cellular basis of differential drought resistance was found between Callitris columellaris (F. Muell), Eucalyptus melliodora A. Cunn. ex Schauer, and Eucalyptus microcarpa Maiden. Between these three species differences were found in bound water, relative water content and water potential at zero turgor, osmotic potential at full turgor and bulk modulus of elasticity. It is suggested that these parameters showed C. columellaris to be the most, and E. melliodora the least drought resistant of the three species. Preliminary studies also showed that drought hardening may involve an increase in bound water content, dry weight: turgid weight ratio and a decrease in osmotic potential at full turgor and water potential at zero turgor.     

Osmotic Adjustment in Leaves of VA Mycorrhizal and Nonmycorrhizal Rose Plants in Response to Drought Stress

Osmotic adjustment in Rosa hybrida L. cv Samantha was characterized by the pressure-volume approach in drought-acclimated and unacclimated plants brought to the same level of drought strain, as assayed by stomatal closure. Plants were colonized by either of the vesicular-arbuscular mycorrhizal fungi Glomus deserticola Trappe, Bloss and Menge or G. intraradices Schenck and Smith, or were nonmycorrhizal. Both the acclimation and the mycorrhizal treatments decreased the osmotic potential (Ψ_π) of leaves at full turgor and at the turgor loss point, with a corresponding increase in pressure potential at full turgor. Mycorrhizae enabled plants to maintain leaf turgor and conductance at greater tissue water deficits, and lower leaf and soil water potentials, when compared with nonmycorrhizal plants. As indicated by the Ψ_π at the turgor loss point, the active Ψ_π depression which attended mycorrhizal colonization alone was 0.4 to 0.6 megapascals, and mycorrhizal colonization and acclimation in concert 0.6 to 0.9 megapascals, relative to unacclimated controls without mycorrhizae. Colonization levels and sporulation were higher in plants subjected to acclimation. In unacclimated hosts, leaf water potential, water saturation deficit, and soil water potential at a particular level of drought strain were affected most by G. intraradices. G. deserticola had the greater effect after drought preconditioning.     

Cell wall elasticity: I. A critique of the bulk elastic modulus approach and an analysis using polymer elastic principles

The traditional bulk elastic modulus approach to plant cell pressure-volume relations is inconsistent with its definition. The relationship between the bulk modulus and Young's modulus that forms the basis of their usual application to cell pressure-volume properties is demonstrated to be physically meaningless. The bulk modulus describes stress/strain relations of solid, homogeneous bodies undergoing small deformations, whereas the plant cell is best described as a thin-shelled, fluid-filled structure with a polymer base. Because cell walls possess a polymer structure, an alternative method of mechanical analysis is presented using polymer elasticity principles. This initial study presents the groundwork of polymer mechanics as would be applied to cell walls and discusses how the matrix and microfibrillar network induce nonlinear stress/strain relationships in the cell wall in response to turgor pressure. In subsequent studies, these concepts will be expanded to include anisotropic expansion as regulated by the microfibrillar network.