A cross-diffusion model of forest boundary dynamics

A simple mathematical model of mono-species forest with two age classes which takes into account seed production and dispersal is presented in the paper. This reaction — diffusion type model is then reduced by means of an asymptotic procedure to a lower dimensional reaction — cross-diffusion model. The existence of standing and travelling wave front solutions corresponding to the forest boundary is shown for the later model. On the basis of the analysis, possible changes in forest boundary dynamics caused by antropogenic impacts are discussed.     

The place of inactivated actin and its kinetic predecessor in actin folding-unfolding

The kinetics of actin unfolding induced by guanidine hydrochloride of different concentrations was studied. The parametric representation of the kinetic dependencies of tryptophan fluorescence intensity changes recorded at two wavelengths allowed us to detect and characterize a new essentially unfolded kinetic intermediate. Its characteristics suggested that this intermediate state is a premolten globule. It was shown that the equilibrium transition between inactivated and completely unfolded states is also a two-step process and proceeds via an essentially unfolded kinetic intermediate. The new kinetic pathway of actin unfolding--refolding was proposed. According to it, the founded essentially unfolded kinetic state is the on-pathway intermediate, while inactivated actin is the off-pathway misfolded state stabilized by aggregation of partially folded macromolecules of protein.     

Generation and escape of local waves from the boundary of uncoupled cardiac tissue

We aim to understand the formation of abnormal waves of activity from myocardial regions with diminished cell-to-cell coupling. En route to this goal, we studied the behavior of a heterogeneous myocyte network in which a sharp coupling gradient was placed under conditions of increasing network automaticity. Experiments were conducted in monolayers of neonatal rat cardiomyocytes using heptanol and isoproterenol as means of altering cell-to-cell coupling and automaticity, respectively. Experimental findings were explained and expanded using a modified Beeler-Reuter numerical model. The data suggest that the combination of a heterogeneous substrate, a gradient of coupling, and an increase in oscillatory activity of individual cells creates a rich set of behaviors associated with self-generated spiral waves and ectopic sources. Spiral waves feature a flattened shape and a pin-unpin drift type of tip motion. These intercellular waves are action-potential based and can be visualized with either voltage or calcium transient measurements. A source/load mismatch on the interface between the boundary and well-coupled layers can lock wavefronts emanating from both ectopic sources and rotating waves within the inner layers of the coupling gradient. A numerical approach allowed us to explore how 1), the spatial distribution of cells, 2), the amplitude and dispersion of cell automaticity, and 3), the speed at which the coupling gradient moves in space affect wave behavior, including its escape into well-coupled tissue.     

Kinetics of actin unfolding induced by guanidine hydrochloride.

The kinetics of actin unfolding induced by guanidine hydrochloride has been studied. On the basis of obtained experimental data a new kinetic pathway of actin unfolding was proposed. We have shown that the transition from native to inactivated actin induced by guanidine hydrochloride (GdnHCl) passes through essential unfolding of the protein. This means that inactivated actin should be considered as the off-pathway species rather than an intermediate conformation between native and completely unfolded states of actin, as has been assumed earlier. The rate constants of the transitions that give rise to the inactivated actin were determined. At 1.0-2.0 M GdnHCl the value of the rate constant of the transition from native to essentially unfolded actin exceeds that of the following step of inactivated actin formation. It leads to the accumulation of essentially unfolded macromolecules early in the unfolding process, which in turn causes the minimum in the time dependencies of tryptophan fluorescence intensity, parameter A, characterizing the intrinsic fluorescence spectrum position, and tryptophan fluorescence anisotropy.     

Negative refractoriness in excitable systems with cross-diffusion

The results of numerical experiments with mathematical models of excitable systems with cross-diffusion are presented. It was shown that the refractoriness in such systems may be negative. The effects of negative refractoriness on the propagation and interaction of waves are demonstrated.     

An essential saccharide binding domain for the mAb 2C7 established for Neisseria gonorrhoeae LOS by ES-MS and MSn

A study of bacterial surface oligosaccharides were investigated among different strains of Neisseria gonorrhoeae to correlate structural features essential for binding to the MAb 2C7. This epitope is widely expressed and conserved in gonococcal isolates, characteristics essential to an effective candidate vaccine antigen. Sample lipooligosaccharides (LOS), was prepared by a modification of the hot phenol-water method from which de-O-acetylated LOS and oligosaccharide (OS) components were analyzed by ES-MS-CID-MS and ES-MSnin a triple quadrupole and an ion trap mass spectrometer, respectively. Previously documented natural heterogeneity was apparent from both LOS and OS preparations which was admixed with fragments induced by hydrazine and mild acid treatment. Natural heterogeneity was limited to phosphorylation and antenni extensions to the alpha-chain. Mild acid hydrolysis to release OS also hydrolyzed the beta(1-->6) glycosidic linkage of lipid A. OS structures were determined by collisional and resonance excitation combined with MS and multistep MSn which provided sequence information from both neutral loss, and nonreducing terminal fragments. A comparison of OS structures, with earlier knowledge of MAb binding, enzyme treatment, and partial acid hydrolysis indicates a generic overlapping domain for 2C7 binding. Reoccurring structural features include a Hepalpha(1-->3)Hepbeta(1-->5)KDO trisaccharide core branched on the nonreducing terminus (Hep-2) with an alpha(1-->2) linked GlcNAc (gamma-chain), and an alpha-linked lactose (beta-chain) residue. From the central heptose (Hep-1), a beta(1-->4) linked lactose (alpha-chain), moiety is required although extensions to this residue appear unnecessary.      

Vulnerability in an excitable medium: analytical and numerical studies of initiating unidirectional propagation.

Cardiac tissue can display unusual responses to certain stimulation protocols. In the wake of a conditioning wave of excitation, spiral waves can be initiated by applying stimuli timed to occur during a period of vulnerability (VP). Although vulnerability is well known in cardiac and chemical media, the determinants of the VP and its boundaries have received little theoretical and analytical study. From numerical and analytical studies of reaction-diffusion equations, we have found that 1) vulnerability is an inherent property of Beeler-Reuter and FitzHugh-Nagumo models of excitable media; 2) the duration of the vulnerable window (VW) the one-dimensional analog of the VP, is sensitive to the medium properties and the size of the stimulus field; and 3) the amplitudes of the excitatory and recovery processes modulate the duration of the VW. The analytical results reveal macroscopic behavior (vulnerability) derived from the diffusion of excitation that is not observable at the level of isolated cells or single reaction units.     

The structure and dynamics of partially folded actin.

Steady-state and time-resolved intrinsic fluorescence, fluorescence quenching by acrylamide, and surface testing by hydrophobic label ANS were used to study the structure of inactivated alpha-actin. The results are discussed together with that of earlier experiments on sedimentation, anisotropy of fluorescence, and CD spectrum in the near- and far-UV regions. A dramatic increase in ANS binding to inactivated actin in comparison with native and unfolded protein indicates that the inactivated actin has solvent-exposed hydrophobic clusters on the surface. It results in specific association of actin macromolecules (sedimentation constants for native and inactivated actin are 3 and 20 S, respectively) and, consequently, in irreversibility of native-inactivated actin transition. It was found that, though the fluorescence spectrum of inactivated actin is red-shifted, the efficiency of the acrylamide collision quenching is even lower than that of the intact protein. It suggests that tryptophan residues of inactivated actin are located in the inner region of protein formed by polar groups, which are highly packed. It correlates with the pronounced near-UV CD spectrum of inactivated actin. The experimentally found tryptophan fluorescence lifetimes allowed evaluation rotational correlation times on the basis of Perrin plots. It is found that oscillations of tryptophan residues in inactivated actin are restricted in comparison with native one. The inactivated actin properties were invariant with experimental conditions (ionic strength, the presence of reducing agents), the way of inactivation (Ca2+ and/or ATP removal, heating, 3-5 M urea or 1.5 M GdmCl treatment), and protein concentration (within the limits 0.005-1.0 mg/mL). The same state of actin appears on the refolding from the completely unfolded state. Thermodynamic stability, pronounced secondary structure, and the existing hydrophobic clusters, tested by ANS fluorescence and reversibility of transition inactivated-unfolded forms, allowed us to suggest that inactivated actin can be intermediate in the folding-unfolding pathway.     

Effects of Shear Flows on Nonlinear Waves in Excitable Media

If an excitable medium is moving with relative shear, the waves of excitation may be broken by the motion. We consider such breaks for the case of a constant linear shear flow. The mechanisms and conditions for the breaking of solitary waves and wavetrains are essentially different: the solitary waves require the velocity gradient to exceed a certain threshold, whilst the breaking of repetitive wavetrains happens for arbitrarily small velocity gradients. Since broken waves evolve into new spiral wave sources, this leads to spatio-temporal irregularity.     

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.