Relationships among pressure, tension, and shape of the diaphragm

The shape of the diaphragm dome was calculated from transdiaphragmatic pressure and tension in the diaphragm. It was assumed that the muscle acts as a free membrane, attached at its edges to the inside of a vertical rib cage circular in cross section, that the attachments are inferior to the point at which the dome makes contract with the rib cage, and that the abdomen is filled with fluid with a hydrostatic gradient in pressure. The shape is different from a section of a sphere, with a radius of curvature substantially greater at the apex of the dome than at the sides. Observed shapes of human hemidiaphragm domes at functional residual capacity are not spherical but closely match the calculated shapes. Best-fitting shapes correspond to transdiaphragmatic pressures of about 3 cmH2O transdiaphragmatic pressure, suggesting that such a pressure and corresponding tension are present in the human diaphragm when it is at rest in an erect subject. In this model; as lung volume increases and the diaphragm shortens, its shape changes in such a way that the ratio between transdiaphragmatic pressure and tension in the diaphragm remains nearly constant, rather than increasing with volume. Such a model can explain the observation that the length-tension relationship of the muscle is much more important than curvature in determining the effectiveness of the diaphragm as a pressure generator.     

Determinants of transdiaphragmatic pressure in dogs

We measured the transdiaphragmatic pressure (Pdi) during bilateral phrenic nerve stimulation and evaluated the determinants of its change with lung volume, chest wall geometry, and respiratory system impedance in supine dogs. Four rows of radiopaque markers were sewn onto muscle bundles of the costal and crural diaphragm between their origin on the central tendon and their insertion on the rib cage and spine. The length of the diaphragm (L) was determined from the projection images of marker rows using biplane fluoroscopy. Measurements were made at lung volumes between total lung capacity and functional residual capacity before and after the infusion of Ringer lactate solution into the abdominal cavity. In contrast to relaxation, during tetanic stimulation the active lengths of the muscle bundles were similar at all volumes, but the diaphragm assumed different shapes. Although the small differences in active muscle length with volume and liquid loads are consistent with only small changes in muscle force output, Pdi varied by a factor of greater than or equal to 5. There was no single L/Pdi curve that fitted all data during 50-Hz stimulations. We conclude that under these experimental conditions Pdi is not a unique measure of the force produced by the diaphragm and that lung volume, chest wall geometry, and respiratory system impedance are important determinants of the mechanical efficiency of the diaphragm as a pressure generator.     

Use of a composite Biomer-butyl rubber/Biomer material to prevent transdiaphragmatic water permeation during long-term, electrically-actuated left ventricular assist device (LVAD) pumping

The pumping diaphragm of the Texas Heart Institute (THI) E-Type ALVAD must perform the dual functions of providing a flexible blood interface and isolating the electrical actuator from adjacent fluids. Thus, protection is required against fluid leakage and moisture diffusion to prevent corrosion and damage to electrical actuator components. Average diffusion rates up to 1 ml per day through currently used elastomeric diaphragm materials have been measured during static in-vitro and in-vivo tests. To circumvent this problem, an improved pumping diaphragm has been recently developed for use with the electrically-actuated THI E-Type ALVAD. This trilaminar diaphragm consists of a composite Biomer and butyl rubber design. A.010 inch layer of butyl rubber (characterized by an extremely low diffusion rate for water, approximately 0 ml per day) is positioned between two Biomer layers (.020 and.010 inches in thickness). Initial invitro and in-vivo studies, in calves, indicate that this composite diaphragm provides an excellent barrier to water permeation, without sacrificing biocompatibility or structural integrity under conditions of chronic flexure.     

球形拓扑下对budding和multi-budding生物膜泡形状的研究

流体相磷脂双分子层在水溶液中能自组织的形成球形拓扑的膜泡,膜泡的平衡形状是由其弯曲弹性能决定的.Budding是流体相磷脂双分子膜泡的一个显著的形状.从自发曲率(SC)模型的弯曲能量和双层(BC)模型的弯曲能量在参数替换情况下,我们看到自发曲率(SC)和双层(BC)模型具有相同的形状方程.本文从双层(BC)模型的相图出发,在双层(BC)模型下,通过建立一些与目标形状相近似的初始形状,在面积A,体积V和平均曲率的积分M的约束条件和使用约化量的情况下,经Surface Evolver软件的逐次细分并长时间演化,得到了一些budding和multi-budding型的生物膜泡形状.     

Density gradient system: II. A 50 channel programmable undulating diphragm peristaltic pump

A special peristaltic pump is described that has functioned as part of a system for density gradient formation and fractionation. Twenty-five pumping tubes are actuated on both the top and bottom of the pump. A Mylar diaphragm interposed between the rollers and the pumping tubes filters out the horizontal, stretching component of the forces imparted to the tubes. This greatly prolongs tube life, increases the allowable pressures that can be achieved with such a pump, and thus permits accurate delivery of viscous solutions.An explanation of the cause of the pulsations produced by peristaltic pumps is presented and the virtual elimination of these pulsations is demonstrated.Both velocity and direction of flow of the pump are controlled. By means of two independent bidirectional digital counters, preset volumes of fluid can be delivered and the total volume of liquid determined.Studies demonstrating the relative independence of fluid volume delivered at a preset count versus flow velocity and composition are presented.Other possibilities for use of the pump in automating density gradient analysis are discussed. Possibilities for employment of the pump for autoanalysis and in artificial organs are indicated.     

Effects of lung volume on diaphragm EMG signal strength during voluntary contractions

The use ofesophageal recordings of the diaphragm electromyogram (EMG) signalstrength to evaluate diaphragm activation during voluntary contractionsin humans has recently been criticized because of a possible artifactcreated by changes in lung volume. Therefore, the first aim of thisstudy was to evaluate whether there is an artifactual influence of lungvolume on the strength of the diaphragm EMG during voluntarycontractions. The second aim was to measure the required changes inactivation for changes in lung volume at a given tension, i.e., thevolume-activation relationship of the diaphragm. Healthy subjects(n = 6) performed contractions of thediaphragm at different transdiaphragmatic pressure (Pdi) targets (range20-160 cmH₂O) whilemaintaining chest wall configuration constant at different lungvolumes. The diaphragm EMG was recorded with a multiple-arrayesophageal electrode, with control of signal contamination andelectrode positioning. The effects of lung volume on the EMG werestudied by comparing the crural diaphragm EMG root mean square (RMS),an index of crural diaphragm activation, with an index of globaldiaphragm activation obtained by normalizing Pdi to the maximum Pdi atthe given muscle length(Pdi/Pdi_max@L) at thedifferent lung volumes. We observed a direct relationship between RMSand Pdi/Pdi_max@L independent of diaphragm length. The volume-activation relationship ofthe diaphragm was equally affected by changes in lung volume as thevolume-Pdi relationship (60% change from functional residual capacityto total lung capacity). We conclude that the RMS of the diaphragm EMGis not artifactually influenced by lung volume and can be used as areliable index of diaphragm activation. The volume-activationrelationship can be used to infer changes in the length-tensionrelationship of the diaphragm at submaximal activation/contractionlevels.

     

Distortion of chest wall and work of diaphragm in preterm infants

Chest wall distortion is common in infants and is especially visible in preterm infants. It has been suggested that this distortion increases the volume displacement of the diaphragm during inspiration, which may be associated with muscular fatigue and apnea. We studied 10 preterm infants who had no evidence of lung disease, investigating the effect of chest wall distortion on the volume displacement and work of the diaphragm. The volume changes of the respiratory system were partitioned using an inductance plethysmograph. The minute volume displacement and the work of the diaphragm were calculated using the partitioned abdominal volume change and the gastric and esophageal pressures. The paradoxical movement of the chest wall lasted an average of 36% of inspiration. The minute volume displacement of the diaphragm ranged from 72 to 176% of the minute pulmonary ventilation, and diaphragmatic work ranged from 94 to 793% of that performed on the lungs. The amount of chest wall distortion, as reflected by the duration of the paradoxical chest wall movement, the minute volume excursion, or work of the diaphragm, was not related to the mechanical properties of the lungs. This estimated work load may represent a significant expenditure of calories in these infants and may contribute to the development of diaphragmatic fatigue, apnea, and a prolonged need for mechanical ventilation.     

A mathematical model for the mechanical properties of scallop shells

The mechanical behaviour of one or both shell valves of five species of pectinacean and one anomiacean was determined using strain gauge rosettes attached to the inner surfaces of the valves. A multiple linear regression analysis accounted for over 64% of the total vanance in tensile shell compliance. The important shell architectural variables were thickness, corrugation and, much less important, convexity and shell length. Calculation showed that in general corrugation of the shell was easily the cheapest way of producing stiffness, in terms of the amount of shell material required. Suggestions are offered as to why not all scallops are scalloped.     

Mechanical analysis of extrapulmonary volume displacements in the thorax and abdomen

Currently, the effect of intrathoracoabdominal, extrapulmonary volume displacements (Vep) are not well understood. Various clinical conditions can lead to volume displacements caused by gas or liquid accumulations. To analyze the pressure and volume changes that occur by Vep, we used a mathematical model of chest wall and lung mechanics that accounts for static changes associated with rib cage, diaphragm, abdomen, and lungs. By solving the model equations, we obtained simulations of the pleural and abdominal displacements that clearly differentiate the mechanisms involved. When abdominal displacement occurs, the reduction in lung volume is less than that caused by an equal displacement in pleural space. Abdominal displacement produces an increased pressure that expands the rib cage significantly, whereas pleural displacement does not produce a comparable action. Furthermore, our model predicts the conditions under which the work of inspiration is expected to increase as a consequence of these displacements. Finally, an important distinction is predicted between abdominal displacements caused by gas or liquid accumulation. Although an abdominal gas displacement tends to decrease the resting lung volume, the weight effect of a liquid displacement tends to increase the resting lung volume by pulling down the diaphragm.     

Finite element studies of the mechanical behaviour of the diaphragm in normal and pathological cases

The diaphragm is a muscular membrane separating the abdominal and thoracic cavities, and its motion is directly linked to respiration. In this study, using data from a 59-year-old female cadaver obtained from the Visible Human Project, the diaphragm is reconstructed and, from the corresponding solid object, a shell finite element mesh is generated and used in several analyses performed with the ABAQUS 6.7 software. These analyses consider the direction of the muscle fibres and the incompressibility of the tissue. The constitutive model for the isotropic strain energy as well as the passive and active strain energy stored in the fibres is adapted from Humphrey's model for cardiac muscles. Furthermore, numerical results for the diaphragmatic floor under pressure and active contraction in normal and pathological cases are presented.     

Computational models of heart pumping efficiencies based on contraction waves in spiral elastic bands

We present a framework for modeling biological pumping organs based on coupled spiral elastic band geometries and active wave-propagating excitation mechanisms. Two pumping mechanisms are considered in detail by way of example: one of a simple tube, which represents a embryonic fish heart and another more complicated structure with the potential to model the adult human heart. Through finite element modeling different elastic contractions are induced in the band. For each version the pumping efficiency is measured and the dynamics are evaluated. We show that by combining helical shapes of muscle bands with a contraction wave it is possible not only to achieve efficient pumping, but also to create desired dynamics of the structure. As a result we match the function of the model pumps and their dynamics to physiological observations.     

Wing-hearts in Mecoptera (insecta)

The accessory pulsatile organs for hemolymph circulation in the wings of 7 Mecoptera species were investigated by means of serial semi-thin sections, SEM and TEM. The wing-hearts are located in the dorsal meso- and metathorax, and have no connection to the aorta. Each wing-heart consists of a small hemolymph chamber formed above by the convex scutellum, and below by a horizontal muscular diaphragm. The chamber is connected to the posterior wing veins by a cuticular tube on each side of the body. The diaphragm (10–15 μm thick) is convex in cross-section and consists of transversely extended muscle fibers. Their ultrastructure reveals typical characters of myocardial and other visceral muscle fibers. The diaphragm muscle is innervated by a pair of thin nerves originating from the thoracic ganglion of each corresponding segment. The diaphragm is held in a convex position by numerous elastic strands (2 μm in diameter), which extend through the wing-heart lumen between the scutellum and the diaphragm. The diastolic phase of the wing-heart is caused by contraction of the diaphragm muscle fibers. Thus, the diaphragm flattens and hemolymph is drawn from the posterior wing veins. The systolic phase is caused by the elasticity of the suspending strands after relaxation of the muscle fibers. The elastic strands pull the diaphragm back into convex position and hemolymph is expelled out of the scutellum lumen into the thorax cavity through a valvular opening on the anterior side. The hemolymph flow from the posterior wing base to the scutellum lumen, was visualized by staining the hemolymph. In Panorpa communis the volume of the wing-heart lumen measures 1.6 × 10⁻² mm³ in the mesothorax, and 1.2 × 10⁻² mm³ in the metathorax. Each heartbeat transports a maximum of 65% of these volumes. The pumping frequency was 78 ± 20 beats per min, registered with a non-invasive photo-optical method in restrained animals. Corresponding pulsating movements occur as a passive phenomenon of wing-heart activity in a distinct area of the wing base. Only minor differences were found in the construction of wing-hearts among the investigated species, except for Boreus hyemalis, which lacks these accessory circulatory organs. The functional morphology of the wing-hearts in Mecoptera is compared with that of other Holometabola and aspects of the evolution of these organs are discussed.     

Detecting Site-Specific Biochemical Constraints Through Substitution Mapping

The neutral theory of molecular evolution states that most mutations are deleterious or neutral. It results that the evolutionary rate of a given position in an alignment is a function of the level of constraint acting on this position. Inferring evolutionary rates from a set of aligned sequences is hence a powerful method to detect functionally and/or structurally important positions in a protein. Some positions, however, may be constrained while having a high substitution rate, providing these substitutions do not affect the biochemical property under constraint. Here, I introduce a new evolutionary rate measure accounting for the evolution of specific biochemical properties (e.g., volume, polarity, and charge). I then present a new statistical method based on the comparison of two rate measures: a site is said to be constrained for property X if it shows an unexpectedly high conservation of X knowing its total evolutionary rate. Compared to single-rate methods, the two-rate method offers several advantages: it (i) allows assessment of the significance of the constraint, (ii) provides information on the type of constraint acting on each position, and (iii) detects positions that are not proposed by previous methods. I apply this method to a 200-sequence data set of triosephosphate isomerase and report significant cases of positions constrained for polarity, volume, or charge. The three-dimensional localization of these positions shows that they are of potential interest to the molecular evolutionist and to the biochemist.     

Effects of corrugation of the dragonfly wing on gliding performance

We investigate the aerodynamic performance of the dragonfly wing, which has cross-sectional corrugation, via a static 2-dimensional unsteady simulation. Computational conditions are Re=150, 1400, and 10,000 with angles of attack ranging from 0° to 40°. From the computational results, lift coefficients are increased by the wing corrugation at all Reynolds number. However, the corrugation has little influence on the drag coefficients. The flows such as vortex in the valley of corrugation and near the edge of the corrugation are locally different from those of an elliptic wing. However, such local flows have little influence on the time averaged wing performance. From the numerical experiment presented in this study, it is determined that suction side corrugations of the wing have very little influence on increase of the lift coefficient at a positive angle of attack.     

Regional ventilation during spontaneous breathing and mechanical ventilation in dogs

We evaluated the effects of the different patterns of chest wall deformation that occur with different body positions and modes of breathing on regional lung deformation and ventilation. Using the parenchymal marker technique, we determined regional lung behavior during mechanical ventilation and spontaneous breathing in five anesthetized recumbent dogs. Regional lung behavior was related to the patterns of diaphragm motion estimated from X-ray projection images obtained at functional residual capacity (FRC) and end inspiration. Our results indicate that 1) in the prone and supine positions, FRC was larger during mechanical ventilation than during spontaneous breathing; 2) there were significant differences in the patterns of diaphragm motion and regional ventilation between mechanical ventilation and spontaneous breathing in both body positions; 3) in the supine position only, there was a vertical gradient in lung volume at FRC; 4) in both positions and for both modes of breathing, regional ventilation was nonlinearly related to changes in lobar and overall lung volumes; and 5) different patterns of diaphragm motion caused different sliding motions and differential rotations of upper and lower lobes. Our results are inconsistent with the classic model of regional ventilation, and we conclude that the distribution of ventilation is determined by a complex interaction of lung and chest wall shapes and by the motion of the lobes relative to each other, all of which help to minimize distortion of the lung parenchyma.     

Relaxation of diaphragm muscle.

Relaxation is the process by which, after contraction, the muscle actively returns to its initial conditions of length and load. In rhythmically active muscles such as diaphragm, relaxation is of physiological importance because diaphragm must return to a relatively constant resting position at the end of each contraction-relaxation cycle. Rapid and complete relaxation of the diaphragm is likely to play an important role in adaptation to changes in respiratory load and breathing frequency. Regulation of diaphragm relaxation at the molecular and cellular levels involves Ca(2+) removal from the myofilaments, active Ca(2+) pumping by the sarcoplasmic reticulum (SR), and decrease in the number of working cross bridges. The relative contribution of these mechanisms mainly depends on sarcomere length, muscle tension, and the intrinsic contractile function. Increased capacity of SR to take up Ca(2+) can arise from increased density of active SR pumping sites or in slow-twitch fibers from phosphorylation of phospholamban, whereas impaired coupling between ATP hydrolysis and Ca(2+) transport into the SR or intracellular acidosis reduces SR Ca(2+) pump activity. In experimental conditions of decreased contractile performance, slowed, enhanced, or unchanged relaxation rates have been reported in vitro. In vivo, a slowing in the rate of decline of the respiratory pressure is generally considered an early reliable index of respiratory muscle fatigue. Impaired relaxation rate may, in turn, favor mismatch between blood flow and metabolic demand, especially at high breathing frequencies.     

Effect of hyperinflation on inspiratory function of the diaphragm.

The inspiratory efficiency of the diaphragm during unilateral and bilateral phrenic stimulation (UEPS and BEPS) with constant stimulus was studied in seven dogs from FRC to 120% TLC. Alveolar pressures (PAl) were recorded during relaxation, BEPS and UEPS at each lung volume in the closed respiratory system. From the PAl-lung volume curves, tidal volume (VT), and pressure developed by the diaphragm (Pmus) were derived. Results are summarized below. a) Hyperinflation impaired the inspiratory efficiency of the diaphragm which behaved as an expiratory muscle beyond the lung volume of 103.7% TLC (Vinef). b) The diaphragm during UEPS became expiratory at the same Vinef as during (BEPS. C) The VT-lung volume relationship was linear during BEPS, allowing simple quantitation of VT loss with hyperinflation and prediction of Vinef. d) With only one phrenic nerve stimulated, the functional loss is less pronounced in VT than in Pmus, as compared to BEPS, indicating that the respiratory system was more compliant during UEPS than BEPS. This compliance difference from UEPS to BEPS diminished with severe hyperinflation.     

Diaphragmatic thickness-lung volume relationship in vivo

To characterize the relationship of changes in diaphragmatic thickness during contraction to changes in lung volume, we developed a technique to measure diaphragm thickness based on M-mode ultrasonography. First, diaphragmatic thickness was measured in situ at necropsy with ultrasound and verified by measuring the same resected segment of diaphragm by ruler (correlation coefficient = 0.93, slope = 0.97). The technique of imaging the diaphragm in living subjects was developed by using a 15-MHz transducer coupled to an M-mode echocardiograph. Ten normal male volunteers were studied while sitting. The ultrasound transducer was held between the ribs in the ninth lateral interspace, and tidal volume was measured by spirometry. The thickening fraction (TF) was calculated as TF = (thickness at peak inspiration - thickness at end expiration)/thickness at end expiration for each of a series of different sized breaths. The function, TF vs. lung volume, for a range of volumes was linear for each subject and had intrasubject reproducibility with intersubject variability. We conclude that diaphragmatic TF is related to function as determined by lung volume, and this may prove to be a useful technique for in vivo studies of diaphragmatic function.     

Enantiomorphs differ in shape in opposite directions between populations

Abstract Development is left–right reversed between dextral and sinistral morphs of snails. In sympatry, they share the same gene pool, including polygenes for shell shape. Nevertheless, their shell shapes are not the mirror images of each other. This triggered a debate between hypotheses that argue either for a developmental constraint or for zygotic pleiotropic effects of the polarity gene. We found that dextrals can be wider or narrower than sinistrals depending on the population, contrary to the prediction of invariable deviation under a developmental constraint. If the pleiotropy is solely responsible instead, the mean shape of each morph should change, depending on the frequency of polarity genotype. Our simulations of this mean shape change under zygotic pleiotropy, however, show that the direction of interchiral difference remains the same regardless of genotype frequency. Our results suggest the presence of genetic variation among populations that changes the maternal or zygotic pleiotropic effect of the polarity gene.     

Frequency-dependent power output and skeletal muscle design

Cyclically contracting muscles provide power for a variety of processes including locomotion, pumping blood, respiration, and sound production. In the current study, we apply a computational model derived from force–velocity relationships to explore how sustained power output is systematically affected by shortening velocity, operational frequency, and strain amplitude. Our results demonstrate that patterns of frequency dependent power output are based on a precise balance between a muscle's intrinsic shortening velocity and strain amplitude. We discuss the implications of this constraint for skeletal muscle design, and then explore implications for physiological processes based on cyclical muscle contraction. One such process is animal locomotion, where musculoskeletal systems make use of resonant properties to reduce the amount of metabolic energy used for running, swimming, or flying. We propose that skeletal muscle phenotype is tuned to this operational frequency, since each muscle has a limited range of frequencies at which power can be produced efficiently. This principle also has important implications for our understanding muscle plasticity, because skeletal muscles are capable of altering their active contractile properties in response to a number of different stimuli. We discuss the possibility that muscles are dynamically tuned to match the resonant properties of the entire musculoskeletal system.