Mechanical model of the left ventricle of the heart approximated by axisymmetric geometry

Author(s):  
Fyodor A. Syomin ◽  
Andrey K. Tsaturyan

AbstractAn axisymmetric model is suggested to simulate mechanical performance of the left ventricle of the heart. Cardiac muscle is treated as incompressible anisotropic material with active tension directed along muscle fibres. This tension depends on kinetic variables that characterize interaction of contractile proteins and regulation of muscle contraction by calcium ions. For numerical simulation of heartbeats the finite element method was implemented. The model reproduces well changes in ventricle geometry between systole and diastole, ejection fraction, pulse wave of ventricular and arterial pressure typical for normal human heart. The model also reproduces well the dependence of the stroke volume on end-diastolic and arterial pressures (the Frank–Starling law of the heart and Anrep effect). The results demonstrate that our model of cardiac muscle can be successfully applied to multiscale 3D simulation of the heart.

1994 ◽  
Vol 267 (6) ◽  
pp. H2450-H2461 ◽  
Author(s):  
I. E. Schoemaker ◽  
S. U. Sys ◽  
L. J. Andries ◽  
J. M. Meyers ◽  
S. R. Pattyn ◽  
...  

Infective endocarditis is caused by bacterial colonization of the endocardium. Because endocardium modulates mechanical performance of subjacent myocardium, we studied acute effects of bacteria on isolated cardiac muscle and on the functional role of the endocardium. Bacteria, grown in broth at 37 degrees C, were added at increasing concentrations (10(2) to 10(6) bacteria/ml) to cat papillary muscles in Krebs-Ringer solution (1.25 mM Ca2+, 35 degrees C). The endocardial surface was damaged by exposing muscles to a stream of dry air for 30 s. Streptococcus (Enterococcus) faecalis induced significant increases in total peak isometric twitch tension (TT) and maximal velocity of unloaded shortening (Vmax) and significant decreases in time to TT (TtTT) and time to half isometric twitch tension decline (RT 1/2), both before and after removal of endocardial endothelium. This response could also be elicited with bacterial filtrate, after boiling the filtrate or after extracting the polysaccharides from it with KIO4. Increasing Ca2+ concentrations progressively reduced the response to the filtrate. Propranolol slightly, although not significantly, diminished the effects on TT and Vmax while abolishing the effects on TtTT and on RT 1/2. By contrast, Streptococcus bovis and Staphylococcus aureus did not affect TT or Vmax but induced a slight but significant decrease in TtTT at the highest concentration of bacteria. Accordingly, the filtrate of Strep. faecalis induces a positive inotropic effect. The active component is neither a protein nor a polysaccharide, and its effect may be partly beta-adrenoceptor mediated. Strep. bovis and Staph. aureus have negligible acute effects on contractility.


2020 ◽  
Vol 6 (4) ◽  
pp. 79
Author(s):  
D. S. Craveiro ◽  
M. A. R. Loja

The present work aimed to characterize the free vibrations’ behaviour of nanocomposite plates obtained by incorporating graded distributions of carbon nanotubes (CNTs) in a polymeric matrix, considering the carbon nanotubes’ agglomeration effect. This effect is known to degrade material properties, therefore being important to predict the consequences it may bring to structures’ mechanical performance. To this purpose, the elastic properties’ estimation is performed according to the two-parameter agglomeration model based on the Eshelby–Mori–Tanaka approach for randomly dispersed nano-inclusions. This approach is implemented in association with the finite element method to determine the natural frequencies and corresponding mode shapes. Three main agglomeration cases were considered, namely, agglomeration absence, complete agglomeration, and partial agglomeration. The results show that the agglomeration effect has a negative impact on the natural frequencies of the plates, regardless the CNTs’ distribution considered. For the corresponding vibrations’ mode shapes, the agglomeration effect was shown in most cases not to have a significant impact, except for two of the cases studied: for a square plate and a rectangular plate with symmetrical and unsymmetrical CNTs’ distribution, respectively. Globally, the results confirm that not accounting for the nanotubes’ agglomeration effect may lead to less accurate elastic properties and less structures’ performance predictions.


1978 ◽  
Vol 234 (5) ◽  
pp. H567-H572 ◽  
Author(s):  
R. P. Cole ◽  
B. A. Wittenberg ◽  
P. R. Caldwell

An isolated dog heart preparation perfused with hemoglobin-free fluorocarbon suspension has been developed to study the role of myoglobin in myocardial function. The coronary vasculature was perfused at constant flow, with oxygen consumption determined from arteriovenous PO2 differences. Muscle function was assessed by measurement of pressures generated in a latex balloon placed in the left ventricle. The perfusate consisted of 20% perfluorotributylamine and 80% Ringer's lactate with 16 mM glucose. Steady-state oxygen consumption decreased from 0.30 to 0.11 ml/min per gram dry weight left ventricle, as perfusate PO2 decreased from 690 to 150 mmHg. Left ventricular pressure generation and oxygen consumption were determined before and after addition of 8 mM sodium nitrite, which changed functional ferrous myoglobin to high-spin ferric myoglobin. Over the range of perfusate PO2 studied, nitrite addition did not alter mechanical performance or myocardial oxygen consumption. These data suggest that those conditions necessary for substantial myoglobin-facilitated diffusion of oxygen in the myocardium are not present in the isolated fluorocarbon-perfused dog heart.


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