Circulation of excitation waves in a model medium containing unexcitable obstacles

The 3D structure of the heart tissue of Wistar rats from different age groups has been reconstructed by light microscopy of consecutive series of semithin sections. At the histological resolution level, connective tissue segments in the myocardium of aged (18 months) animals were found, while in the myocardium of young (2 months) animals no connective tissue segments were observed. A mathematical model and the results of the 3D reconstruction were used to simulate the formation of excitation wave circulation in the myocardium. The values of conductivity and the excitability threshold, and the pulse frequency rates were found at which the disturbances of the heart rhythm resulting from the excitation wave circulation are predicted by the mathematical modeling.     

Circulation of excitation waves in a model medium containing unexcitable obstacles

Serial semithin optical sections were used for 3D reconstruction of rat ventricular tissue. At histological resolution, older animals (18 months) were found to have regions of fibrous connective tissue not observed in young animals (2 months). The 3D data were used in mathematical modeling of excitation wave propagation in a medium containing such obstacles. The values of conductance, medium excitation threshold, and pulse repetition rate were determined whereat the model predicts rhythm disorders caused by circulation of the excitation wave.     

Drift of large-core spiral waves in inhomogeneous excitable media

Spiral waves in excitable media may drift due to interaction with medium inhomogeneities. We describe this drift asymptotically, within the kinematic (eikonal) approximation.     

Neural field model of binocular rivalry waves

We present a neural field model of binocular rivalry waves in visual cortex. For each eye we consider a one-dimensional network of neurons that respond maximally to a particular feature of the corresponding image such as the orientation of a grating stimulus. Recurrent connections within each one-dimensional network are assumed to be excitatory, whereas connections between the two networks are inhibitory (cross-inhibition). Slow adaptation is incorporated into the model by taking the network connections to exhibit synaptic depression. We derive an analytical expression for the speed of a binocular rivalry wave as a function of various neurophysiological parameters, and show how properties of the wave are consistent with the wave-like propagation of perceptual dominance observed in recent psychophysical experiments. In addition to providing an analytical framework for studying binocular rivalry waves, we show how neural field methods provide insights into the mechanisms underlying the generation of the waves. In particular, we highlight the important role of slow adaptation in providing a “symmetry breaking mechanism” that allows waves to propagate.     

Electric field stimulation of precision-cut lung slices

The precision-cut lung slice (PCLS) technique is widely used to examine airway responses in different species. We developed a method to study nerve-dependent bronchoconstriction by the application of electric field stimulation (EFS) to PCLS. PCLS prepared from Wistar rats were placed between two platinum electrodes to apply serial rectangular impulses (5-100 Hz), and bronchoconstriction was studied by videomicroscopy. The extent of airway contractions increased with higher frequencies. Stable repeated airway contractions were obtained at a frequency of 50 Hz, a width of 1 ms, and an output of 200 mA for 2.5 s each minute. Larger airways showed stronger responses. The EFS-triggered contractions were increased by the acetylcholine esterase inhibitor neostigmine (10 μM) and reversed by the muscarinic antagonist atropine (10 μM), whereas the thromboxane protanoid receptor antagonist SQ29548 (10 μM) had no effect. Magnesium ions (10 mM) antagonized airway contractions induced by EFS, but not by methacholine, indicating that nerve endings remain intact in PCLS. Our data further show that the electrically evoked airway contractions in PCLS are mediated by cholinergic nerves, independent of thromboxane and more prominent in larger airways. Taken together these findings show that nerve endings remain intact in PCLS, and they suggest that the present method is useful to study neurogenic responses in airways of different size.     

Electric field dependence of alamethicin channels.

Circular dichroism (CD) of alamethicin embedded in vesicular membranes from outside, and its change, upon imposing Donnan potentials across the membrane, was measured. The changes in CD suggested a decrease in a helicity and increase in beta structure with the membrane potential positive inside and vice versa when the potential was positive on the outer side of the vesicles from where the alamethicin was inserted into the membrane. The Donnan potential was created by entrapping the polyacrylate (PA-) in the vesicles and changing the salt concentration outside or by adding different concentrations of PA- or polyethyleneimide (PEI+) at the outside of vesicles with 2 x 10(-5) M salt inside. The effect of the potential on the CD spectra and thus the alamethicin conformation is independent on the type of the polyelectrolyte employed for the Donnan potential generation.     

Electric field control of enzyme membrane activity.

Lipase was immobilized in liquid crystal-collagen membrane. No difference in the optimum pH between the lipase-liquid crystal-collagen membrane and native lipase was observed. However, the immobilized lipase shows flat-pH profiles. The activity of the lipase membrane on a platinum electrode used for cathode increased with increase in terminal voltage and then returned to the initial activity with decrease of terminal voltage.     

Formation of planar and spiral Ca2+ waves in isolated cardiac myocytes.

A novel Nipkow-type confocal microscope was applied to image spontaneously propagating Ca2+ waves in isolated rat ventricular myocytes by means of fluo-3. The sarcolemma was imaged with di-8-ANEPPS and the nucleus with SYTO 11. Full frame images in different vertical sections were obtained at video frame rate by means of an intensified CCD camera. Three types of Ca2+ waves were identified: spherical waves, planar waves, and spiral waves. Both spherical waves and spiral waves could initiate a planar wave, and planar waves were not influenced by the presence of a nucleus. Spiral waves, however, were consistently found adjacent to a nucleus and displayed a slower propagation rate and slower rate of increase in Ca2+ concentration in the wave front than did spherical and planar waves. The planar waves were apparent throughout the vertical axis of the cell, whereas spiral waves appeared to have a vertical height of approximately 3 microm, less than the maximum thickness of the nucleus (5.0 +/- 0.3 microm). These results provide experimental confirmation of previous modeling studies which predicted an influence of the nucleus on spiral-type Ca2+ waves. When a spontaneous Ca2+ wave is small relative to the size of the nucleus, it appears that the Ca2+ buffering by the nucleus is sufficient to slow the rate of spontaneous propagation of the Ca2+ wave in close proximity to the nucleus. These findings thus support the idea that the nucleus can influence complex behavior of Ca2+ waves in isolated cardiac myocytes.     

Stability of localized MHD perturbations in confinement systems with closed magnetic field lines

Conditions are determined for the stability of a finite-pressure plasma against perturbations localized near a magnetic field line in a magnetic confinement system without average minimum-B. The marginal stability (ω²=0) is achieved at the pressure profile p∝U ^?5/3 (where $U = \oint {\frac{{dl}}{B}}$ ), provided that the pressure is lower than a certain critical value above which an unstable incompressible mode in which the displacement as a function of the coordinate along the field line has zeros appears at some magnetic field line.     

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.     

Solitary fast magnetosonic waves propagating obliquely to the magnetic field in cold collisionless plasma

Solutions describing solitary fast magnetosonic (FMS) waves (FMS solitons) in cold magnetized plasma are obtained by numerically solving two-fluid hydrodynamic equations. The parameter domain within which steady-state solitary waves can propagate is determined. It is established that the Mach number for rarefaction FMS solitons is always less than unity. The restriction on the propagation velocity leads to the limitation on the amplitudes of the magnetic field components of rarefaction solitons. It is shown that, as the soliton propagates in plasma, the transverse component of its magnetic field rotates and makes a complete turn around the axis along which the soliton propagates.     

Defects formation and spiral waves in a network of neurons in presence of electromagnetic induction

Complex anatomical and physiological structure of an excitable tissue (e.g., cardiac tissue) in the body can represent different electrical activities through normal or abnormal behavior. Abnormalities of the excitable tissue coming from different biological reasons can lead to formation of some defects. Such defects can cause some successive waves that may end up to some additional reorganizing beating behaviors like spiral waves or target waves. In this study, formation of defects and the resulting emitted waves in an excitable tissue are investigated. We have considered a square array network of neurons with nearest-neighbor connections to describe the excitable tissue. Fundamentally, electrophysiological properties of ion currents in the body are responsible for exhibition of electrical spatiotemporal patterns. More precisely, fluctuation of accumulated ions inside and outside of cell causes variable electrical and magnetic field. Considering undeniable mutual effects of electrical field and magnetic field, we have proposed the new Hindmarsh–Rose (HR) neuronal model for the local dynamics of each individual neuron in the network. In this new neuronal model, the influence of magnetic flow on membrane potential is defined. This improved model holds more bifurcation parameters. Moreover, the dynamical behavior of the tissue is investigated in different states of quiescent, spiking, bursting and even chaotic state. The resulting spatiotemporal patterns are represented and the time series of some sampled neurons are displayed, as well.     

Nonresonant excitation of surface waves by a normal electric field

A study is made of nonresonant parametric excitation of surface waves by a spatially uniform, time-dependent electric pump field directed perpendicular to a plane plasma-dielectric interface. A set of equations is derived that describes the dynamics of surface wave excitation. Expression for the growth rate in the linear stage of instability is obtained, and the threshold amplitude of the external electric field above which the parametric instability can occur is found. The spectrum of the excited waves is analyzed. Published in Russian in Fizika Plazmy, 2006, Vol. 32, No. 11, pp. 994–998. The article was translated by the author.     

Analysis of DNA attached to the chromosome scaffold

Two different methods have been described to investigate whether any specific DNA sequences are intimately associated with the metaphase chromosome scaffold. The chromosome scaffold, prepared by dehistonization of chromosomes with 2 M NaCl, is a nonhistone protein complex to which many looped DNA molecules are attached (Laemmli et al., 1977, Cold Spring Harbor Symp. Quant. Biol. 42:351--360). Chromosome scaffold DNA was prepared from dehistonized chicken MSB chromosomes by restriction endonuclease EcoRI digestion followed by removal of the looped DNA by sucrose gradient sedimentation. Alternatively, the scaffold DNA was prepared from micrococcal nuclease-digested intact chromosomes using sucrose gradients containing 2M NaCl. Solution hybridization of the radioactively labeled scaffold DNA with a large excess of total nuclear DNA revealed that, in either case, the scaffold DNA is not a unique sequence class of genomic DNA. Southern-blotting hybridization also showed that the scaffold DNA prepared from EcoRI-digested dehistonized chromosomes was not enriched (or depleted) in the ovalbumin gene sequences. The possibility of a dynamic interaction of protein and DNA in the chromosome scaffold and the possibility that the scaffold is a preparative artifact are discussed.     

Flow kinetics of L-asparaginase attached to nylon tubing

L -Asparaginase has been attached by chemical means to the inner surface of nylon tubing. An experimental study has been carried out of the flow kinetics for such a system, asparagine solutions at various concentrations being passed through two lengths of tubing at various flow rates. Measurements were made of the concentration of the product ammonia at the tube exit, and of the rate of formation of ammonia, under the various conditions. Apparent Michaelis constants, K_m(app), were some three orders of magnitude higher than the K_m for the enzyme in free solution (～13 × 10^?6JM). The results were analyzed with respect to the theoretical treatment described in the preceding paper (Kobayashi and Laidler), three different methods being employed. It is concluded that at lower substrate concentrations and flow rates the reactions are largely diffusion-controlled, the enhanced K_m(app) values being largely if not entirely due to the diffusion control; ionic strength studies showed electrostatic repulsion effects to be unimportant. At high concentrations and high flow rates (when the diffusion layer is of negligible thickness) the diffusional effects are minimized, and K_m(app) approaches the true K_m value for the immobilized enzyme.     

Effect of the form and anisotropy of the left ventricle on the drift of spiral waves

Three-dimensional spiral waves of electrical excitation in the myocardium are sources of dangerous cardiac arrhythmias. In this work, the dynamics of spiral waves of electrical excitation were studied in a symmetric anatomical model of the human heart left ventricle and a realistic ionic cell model of the human ventricular myocardium. Three factors that affect the drift waves in the heart were compared for the first time: the geometry of the heart wall, myocardial anisotropy, and wave chirality. Cardiac anisotropy was identified as a main factor in determining the drift of spiral waves. In the isotropic case, the dynamics were determined by the wall thickness, but did not depend on the wave chirality. In the anisotropic case, chirality was found to play a crucial role.