Na/K pump regulation of cardiac repolarization: Insights from a systems biology approach

The sodium-potassium pump is widely recognized as the principal mechanism for active ion transport across the cellular membrane of cardiac tissue, being responsible for the creation and maintenance of the transarcolemmal sodium and potassium gradients, crucial for cardiac cell electrophysiology. Importantly, sodium-potassium pump activity is impaired in a number of major diseased conditions, including ischemia and heart failure. However, its subtle ways of action on cardiac electrophysiology, both directly through its electrogenic nature and indirectly via the regulation of cell homeostasis, make it hard to predict the electrophysiological consequences of reduced sodium-potassium pump activity in cardiac repolarization. In this review, we discuss how recent studies adopting the Systems Biology approach, through the integration of experimental and modeling methodologies, have identified the sodium-potassium pump as one of the most\ud important ionic mechanisms in regulating key properties of cardiac repolarization and its rate-dependence, from subcellular to whole organ levels. These include the role of the pump in the biphasic modulation of cellular repolarization and refractoriness, the rate control of intracellular sodium and calcium dynamics and therefore of the adaptation of repolarization to changes in heart rate, as well as its importance in regulating pro-arrhythmic substrates through modulation of dispersion of repolarization and restitution. Theoretical findings are consistent across a variety of cell types and species including human, and widely in agreement with experimental findings. The novel insights and hypotheses on the role of the pump in cardiac electrophysiology obtained through this integrative approach could eventually lead to novel therapeutic and diagnostic strategies

A meshless fragile points method for rule-based definition of myocardial fiber orientation

Background and objective: Rule-based methods are commonly used to estimate the arrangement of myocardial fibers by solving the Laplace problem with appropriate Dirichlet boundary conditions. Existing algorithms are using the Finite Element Method (FEM) to solve the Laplace–Dirichlet problem. However, meshless methods are under development for cardiac electrophysiology simulation. The objective of this work is to propose a meshless rule based method for the determination of myocardial fiber arrangement without requiring a mesh discretization as it is required by FEM. Methods: The proposed method employs the Fragile Points Method (FPM) for the solution of the Laplace–Dirichlet problem. FPM uses simple discontinuous trial functions and single-point exact integration for linear trial functions that set it as a promising alternative to the Finite Element Method. We derive the FPM formulation of the Laplace–Dirichlet and we estimate ventricular and atrial fiber arrangements according to rules based on histology findings for four different geometries. The obtained fiber arrangements from FPM are compared with the ones obtained from FEM by calculating the angle between the fiber vector fields of the two methods for three different directions (i.e., longitudinal, sheet, transverse). Results:The fiber arrangements that were generated with FPM were in close agreement with the generated arrangements from FEM for all three directions. The mean angle difference between the FPM and FEM vector fields were lower than for the ventricular fiber arrangements and lower than for the atrial fiber arrangements. Discussion:The proposed meshless rule-based method was proven to generate myocardial fiber arrangements with very close agreement with FEM while alleviates the requirement for a mesh of the latter. This is of great value for cardiac electrophysiology solvers that are based on meshless methods since they require a well defined myocardial fiber arrangement to simulate accurately the propagation of electrical signals in the heart. Combining a meshless solution for both the determination of the fibers and the electrical signal propagation can allow for solution that do not require the definition of a mesh. To our knowledge, this work is the first one to propose a meshless rule-based method for myocardial fiber arrangement determination

Optimal control with nonadiabatic molecular dynamics: Application to the Coulomb explosion of sodium clusters

We present an implementation of optimal control theory for the first-principles nonadiabatic Ehrenfest molecular dynamics model, which describes a condensed matter system by considering classical point-particle nuclei, and quantum electrons, handled in our case with time-dependent density-functional theory. The scheme is demonstrated by optimizing the Coulomb explosion of small sodium clusters: the algorithm is set to find the optimal femtosecond laser pulses that disintegrate the clusters, for a given total duration, fluence, and cutoff frequency. We describe the numerical details and difficulties of the method

Active Beam Shaping System and Method Using Sequential Deformable Mirrors

An active optical beam shaping system includes a first deformable mirror arranged to at least partially intercept an entrance beam of light and to provide a first reflected beam of light, a second deformable mirror arranged to at least partially intercept the first reflected beam of light from the first deformable mirror and to provide a second reflected beam of light, and a signal processing and control system configured to communicate with the first and second deformable mirrors. The first deformable mirror, the second deformable mirror and the signal processing and control system together provide a large amplitude light modulation range to provide an actively shaped optical beam

VLT/SPHERE robust astrometry of the HR8799 planets at milliarcsecond-level accuracy Orbital architecture analysis with PyAstrOFit

HR8799 is orbited by at least four giant planets, making it a prime target for the recently commissioned Spectro-Polarimetric High-contrast Exoplanet REsearch (VLT/SPHERE). As such, it was observed on five consecutive nights during the SPHERE science verification in December 2014. We aim to take full advantage of the SPHERE capabilities to derive accurate astrometric measurements based on H-band images acquired with the Infra-Red Dual-band Imaging and Spectroscopy (IRDIS) subsystem, and to explore the ultimate astrometric performance of SPHERE in this observing mode. We also aim to present a detailed analysis of the orbital parameters for the four planets. We report the astrometric positions for epoch 2014.93 with an accuracy down to 2.0 mas, mainly limited by the astrometric calibration of IRDIS. For each planet, we derive the posterior probability density functions for the six Keplerian elements and identify sets of highly probable orbits. For planet d, there is clear evidence for nonzero eccentricity ($e \simeq 0.35$), without completely excluding solutions with smaller eccentricities. The three other planets are consistent with circular orbits, although their probability distributions spread beyond $e = 0.2$, and show a peak at $e \simeq 0.1$ for planet e. The four planets have consistent inclinations of about $30\deg$ with respect to the sky plane, but the confidence intervals for the longitude of ascending node are disjoint for planets b and c, and we find tentative evidence for non-coplanarity between planets b and c at the $2 \sigma$ level.Comment: 23 pages, 14 figure

Endothelin-1 amplifies ventricular repolarization heterogeneities in chronic myocardial infarction pigs

Introduction: Endothelin-1 (ET-1) is a vasoconstrictor peptide secreted by endothelial cells and cardiac myocytes and fibroblasts. It is involved in oxidative stress, apoptosis regulation and ventricular remodeling processes associated with heart failure and ischemic cardiomyopathy, including myocardial hypertrophy, fibrosis and impaired conduction. ET-1 has been shown to influence cardiac electrophysiology by modulation of calcium and potassium currents and to contribute to arrhythmogenesis and sudden cardiac death. Purpose: We aim to characterize the functional role of ET-1 in the electrophysiology of healed myocardial infarction (MI) by analysis of porcine ventricular slices as a highly representative model of ventricular tissue with preserved cellular cross-talks and architecture. Methods: Domestic pigs (60–80 kg, n = 3) were infarcted by temporal occlusion of the left anterior descending coronary artery. 8-12 weeks after infarct induction, animals were cardioplegically arrested under deep anesthesia and sacrificed. All animal procedures conformed to the guidelines from Directive 2010/63/EU and were approved by local authorities. 350 µm-thick ventricular slices were produced from transmural tissue blocks of healed MI ventricles. Tissue blocks were taken from remote, adjacent and border zones of the infarct area. Slices were optically mapped within 8 hours after tissue collection to record transmembrane potential and intracellular calcium. Action Potential Duration (APD) and Calcium Transient Duration (CaTD) were measured at 80% repolarization for 0.5, 1 and 2 Hz pacing frequencies in the presence and absence of 100 nM ET-1. The notation n/N is used to denote n tissue slices from N pigs. Results: ET-1 prolonged the APD at all frequencies in remote zones, with mean prolongation percentages of 30.5%, 32%, 26.2% at 0.5, 1 and 2 Hz, respectively, n/N=7/3. However, only minor effects were observed in adjacent (mean APD prolongation of 3.3%, 4.9% and 10.7%, n/N=5/3) and border zones (7%, 4% and 3.6%, n/N=5/3). ET-1 caused an increase in CaTD at 1 Hz in the three zones, with no significant regional differences in the amount of CaTD increase: mean prolongation of 14.1% (n/N=7/3) in the remote zone, 12.4 % (n/N=5/3) in the adjacent zone and 20.9% (n/N=4/3) in the border zone. Conclusions: In chronic MI pigs, ET-1 induces strong APD and moderate CaTD prolongation of remote normal myocardium at low (0.5 Hz) to high (2 Hz) frequencies. The ET-1-induced effects on the AP of normal tissue, but not on CaT, are disrupted in the border zones of the infarct area and in its proximity. Our results point to ET-1 acting to enhance ventricular repolarization dispersion in chronic MI pigs, which might contribute to increased arrhythmia vulnerability

On Improving Urban Environment Representations

Computer Graphics has evolved into a mature and powerful field that offers many opportunities to enhance different disciplines, adapting to the specific needs of each. One of these important fields is the design and analysis of Urban Environments. In this article we try to offer a perspective of one of the sectors identified in Urban Environment studies: Urbanization. More precisely we focus on geometric and appearance modeling, rendering and simulation tools to help stakeholders in key decision stages of the process