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Phylogeography of the deer mouse (Peromyscus maniculatus) provides a predictive framework for research on hantaviruses.

Phylogeographical partitioning of Sin Nombre and Monongahela viruses (hantaviruses) may reflect that of their primary rodent host, the deer mouse (Peromyscus maniculatus). Lack of a comprehensive assessment of phylogeographical variation of the host has precluded the possibility of predicting spatial limits of existing strains of these viruses or geographical regions where novel viral strains might emerge. The complete cytochrome b gene was sequenced for 206 deer mice collected from sites throughout North America to provide a foundation for future studies of spatial structure and evolution of this ubiquitous host. Bayesian analyses of these sequences partitioned deer mice into six largely allopatric lineages, some of which may represent unrecognized species. The geographical distributions of these lineages were probably shaped by Quaternary climatic events. Populations of mice were apparently restricted to refugia during glacial advances, where they experienced genetic divergence. Expansion of these populations, following climatic amelioration, brought genetically distinctive forms into contact. Occurrence of parallel changes in virus strains can now be explored in appropriate regions. In New Mexico, for example, near the location where Sin Nombre virus was first discovered, there are three genetically distinctive lineages of deer mice whose geographical ranges need to be delineated precisely. The phylogeography of P. maniculatus provides a framework for interpreting geographical variability, not only in hosts, but also in associated viral variants and disease transmission, and an opportunity to predict the potential geographical distribution of newly emerging viral strains.

Animals↗

Prediction of nitrogen responses of corn by soil nitrogen mineralization indicators.

Soil nitrogen mineralization potential (N min) has to be spatially quantified to enable farmers to vary N fertilizer rates, optimize crop yields, and minimize N transfer from soils to the environment. The study objectives were to assess the spatial variability in soil N min potential based on clay and organic matter (OM) contents and the impact of grouping soils using these criteria on corn grain (Zea mays L.) yield, N uptake response curves to N fertilizer, and soil residual N. Four indicators were used: OM content and three equations involving OM and clay content. The study was conducted on a 15-ha field near Montreal, Quebec, Canada. In the spring 2000, soil samples (n = 150) were collected on a 30- x 30-m grid and six rates of N fertilizer (0 to 250 kg N ha(-1)) were applied. Kriged maps of particle size showed areas of clay, clay loam, and fine sandy loam soils. The N min indicators were spatially structured but soil nitrate (NO3-) was not. The N fertilizer rate to reach maximum grain yield (N max), as estimated by a quadratic model, varied among textural classes and Nmin indicators, and ranged from 159 to 250 kg N ha(-1). The proportion of variability (R2) and the standard error of the estimate (SE) varied among textural groups and N min indicators. The R2 ranged from 0.53 to 0.91 and the SE from 0.13 to 1.62. Corn grain N uptake was significantly affected by N fertilizer and the pattern of response differed with soil texture. For the 50 kg N ha(-1) rate, the apparent N min potential (ANM) was significantly larger in the clay loam (122 kg ha(-1)) than in the fine sandy loam (80 kg ha(-1)) or clay (64 kg ha(-1)) soils. The fall soil residual N was not affected by N fertlizer inputs. Textural classes can be used to predict N max. The N min indicators may also assist the variable rate N fertilizer inputs for corn production.

Agriculture↗

Line defects of a two-component vector order parameter.

The line density of line defects in terms of a two-component vector order parameter are obtained from the definition of topological charges of line defects. The spatial structure and bifurcation of line defects in three-dimensional space are also studied from the topological properties of the two-component vector order parameter. The branch conditions for generating, annihilating, colliding, splitting, and merging of line defects are obtained according to the properties of the two-component vector order parameter itself. It is found that the velocities of line defects are infinite when they are being annihilated or generated, which is obtained only from the topological properties of the two-component vector order parameter.

Journal Article↗

Power-law fluctuations in phase-separated lipid membranes.

The spatial structure of three binary lipid mixtures, prepared as multilamellar vesicles, was studied by small-angle neutron scattering. In the fluid-gel coexistence region, large-scale concentration fluctuations appear which scatter like surface fractals for small acyl-chain mismatch and like mass fractals for large mismatch over about one decade of length. The transition is highly discontinuous: The fractal dimension of the boundary between the gel and fluid drops from 2.7 to 1.7, the gel fraction in the fluctuations drops from about 0.5 to 0.07, and the gel domains interlamellar correlation drops from strong to weak. We interpret the fluctuations as long-lived descendants of the incipient two-phase equilibrium state and the transition as due to changes in the gel rigidity and phase diagram.

Deuterium↗

Ultrasound scattering and the study of vortex correlations in disordered flows

In an idealized way, some turbulent flows can be pictured by assemblies of many vortices characterized by a set of particle distribution functions. Ultrasound provides a useful, nonintrusive, tool to study the spatial structure of vorticity in flows. This is analogous to the use of elastic neutron scattering to determine liquid structure. We express the dispersion relation, as well as the scattering cross section, of sound waves propagating in a "liquid" of identical vortices as a function of vortex pair correlation functions. In two dimensions, formal analogies with ionic liquids are pointed out.

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Spiral waves in a class of optical parametric oscillators.

The formation of three-armed rotating spiral waves is shown to occur in a spatially extended nonlinear optical system with broken phase invariance. These new spatial structures are found in the mean-field model of a class of optical parametric oscillators (3omega-->2omega+omega) in which the multistep process 2omega=omega+omega breaks the phase invariance of the down-conversion process. A parametrically-forced Ginzburg-Landau equation is derived to explain the existence of phase-armed spiral waves.

Journal Article↗

Phase transitions and oscillations in a lattice prey-predator model.

A coarse grained description of a two-dimensional prey-predator system is given in terms of a simple three-state lattice model containing two control parameters: the spreading rates of prey and predator. The properties of the model are investigated by dynamical mean-field approximations and extensive numerical simulations. It is shown that the stationary state phase diagram is divided into two phases: a pure prey phase and a coexistence phase of prey and predator in which temporal and spatial oscillations can be present. Besides the usual directed percolationlike transition, the system exhibits an unexpected, different type of transition to the prey absorbing phase. The passage from the oscillatory domain to the nonoscillatory domain of the coexistence phase is described as a crossover phenomena, which persists even in the infinite size limit. The importance of finite size effects are discussed, and scaling relations between different quantities are established. Finally, physical arguments, based on the spatial structure of the model, are given to explain the underlying mechanism leading to local and global oscillations.

Journal Article↗

Chaotic motion of space charge wave fronts in semiconductors under time-independent voltage bias.

A standard drift-diffusion model of space charge wave propagation in semiconductors has been studied numerically and analytically under dc voltage bias. For sufficiently long samples, appropriate contact resistivity, and applied voltage-such that the sample is biased in a regime of negative differential resistance-we find chaos in the propagation of nonlinear fronts (charge monopoles of alternating sign) of electric field. The chaos is always low dimensional, but has a complex spatial structure; this behavior can be interpreted using a finite-dimensional asymptotic model in which the front (charge monopole) positions and the electrical current are the only dynamical variables.

Journal Article↗

Mobile polaron solutions and nonlinear electron transfer in helical protein models.

We consider the electron transfer along helical forms of proteins. The spatial structure of the protein helices is modeled by three-dimensional oscillator networks whose constituents represent peptide groups. Covalent and hydrogen bonds between the peptide units are modeled by point-point interaction potentials. The electronic degree of freedom is described by a tight-binding system including besides the nearest-neighbor exchange interactions between covalently connected units also third- or fourth-nearest neighbor interactions between hydrogen-bonded sites. In addition each peptide unit possesses an internal vibrational degree of freedom. The various dynamical degrees of freedom are coupled to each other making the exchange of electronic, intramolecular, and bond-vibrational energy possible. In the first part of the paper we investigate the static polaron formation resulting from strong interactions between the electron and the intramolecular vibrations. The 3-10 helix and the alpha helix are investigated. Polaron states are constructed analytically on the basis of a variational approach. Compared to the alpha helix the 3-10 helix supports stronger localized polarons. In the second part of the paper we take the coupling of the polaron with the vibrations of the three-dimensional protein matrix into account focusing interest on the bond-assisted initiation of polaron motion. In detail it is demonstrated that the interplay of the protein matrix and the polaron dynamics conspire to activate not only the polaron motion but also to maintain a long-lived coherently traveling localized pattern along the lattice of peptide units. Starting from a nonequilibrium state it is shown that coexisting electron and bond-vibration breathers assist the relaxation dynamics towards energy equilibration and the attainment of a stationary regime.

Electrons↗

Reaction-diffusion model for the growth of avascular tumor.

A nutrient-limited model for avascular cancer growth including cell proliferation, motility, and death is presented. The model qualitatively reproduces commonly observed morphologies for primary tumors, and the simulated patterns are characterized by its gyration radius, total number of cancer cells, and number of cells on tumor periphery. These very distinct morphological patterns follow Gompertz growth curves, but exhibit different scaling laws for their surfaces. Also, the simulated tumors incorporate a spatial structure composed of a central necrotic core, an inner rim of quiescent cells and a narrow outer shell of proliferating cells in agreement with biological data. Finally, our results indicate that the competition for nutrients among normal and cancer cells may be a determining factor in generating papillary tumor morphology.

Animals↗

Scaling properties of fluctuations in the human electroencephalogram.

The fluctuation properties of the human electroencephalogram time series are studied using detrended fluctuation analysis. For nearly all 128 channels in each of the 28 subjects studied, it is found that the standard deviation of the fluctuations exhibits scaling behaviors in two regions. Topographical plots of the scaling exponents reveal the spatial structure of the nonlinear electrical activities recorded on the scalp. Moment analyses are performed to summarize the global variability across channels. The correlation between the two scaling exponents in each channel is also examined. Two global measures are found that succinctly characterize the overall properties of the fluctuation behaviors of the brain dynamics for each subject. Together they distinguish the stroke subjects from the normal ones with 90% accuracy, suggesting the possibility that this analysis could lead to an effective diagnostic tool.

Brain↗

Temperature oscillations in turbulent Rayleigh-Bénard convection.

A systematic study of temperature oscillations in turbulent thermal convection was carried out in two aspect-ratio-one convection cells filled with water. Temperature correlation functions and local velocity fluctuations were measured over varying Rayleigh numbers and spatial positions across the entire cell. These measurements fully characterize the spatial structure of the temperature oscillation and reveal the mixing and emission dynamics of the thermal plumes near the conducting surface. A sharp transition from a random chaotic state to a correlated turbulent state of finite coherence time is found when the Rayleigh number becomes larger than a critical value Ra(c) approximately equal 5 x 10(7). Above Ra(c) the measured temperature correlation functions show a well-defined oscillation with a finite coherence time. The oscillation period is found to be twice as large as the cell crossing time. The experiment demonstrates how the thermal plumes in a closed cell organize themselves both in space and time and generate coherent oscillations in a turbulent environment.

Journal Article↗

Energy transfer in Rayleigh-Taylor instability.

The spatial structure and energy budget for Rayleigh-Taylor instability are examined using results from a 512 x 512 x 2040 point direct numerical simulation. The outer-scale Reynolds number of the flow follows a rough t(3) power law and reaches a final value of about 5500. Taylor microscales and Reynolds numbers are plotted to characterize anisotropy in the flow and document progress towards the mixing transition. A mixing parameter is defined which characterizes the relative rates of entrainment and mixing in the flow. The spectrum of each term in the kinetic energy equation is plotted, at regular time intervals, as a function of the inhomogeneous direction and the two-dimensional wave number for the homogeneous directions. The energy spectrum manifests the beginning of an inertial range by the latter stages of the simulation. The production and dissipation spectra become increasingly opposite and separate in wave space as the flow evolves. The transfer spectrum depends strongly on the inhomogeneous direction, with the net transfer being from large to small scales. Energy transfer at the bubble/spike fronts is strictly positive. Extensive cancellation occurs between the pressure and advection terms. The dilatation term produces negligible energy transfer, but its overall effect is to move energy from high to low density regions.

Journal Article↗

Pattern formation induced by nonequilibrium global alternation of dynamics.

We recently proposed a mechanism for pattern formation based on the alternation of two dynamics, neither of which exhibits patterns. Here we analyze the mechanism in detail, showing by means of numerical simulations and theoretical calculations how the nonequilibrium process of switching between dynamics, either randomly or periodically, may induce both stationary and oscillatory spatial structures. Our theoretical analysis by means of mode amplitude equations shows that all features of the model can be understood in terms of the nonlinear interactions of a small number of Fourier modes.

Journal Article↗

Persistence in q-state Potts model: a mean-field approach.

We study the persistence properties of the T=0 coarsening dynamics of one-dimensional q-state Potts model using a modified mean-field approximation (MMFA). In this approximation, the spatial correlations between the interfaces separating spins with different Potts states is ignored, but the correct time dependence of the mean density P(t) of persistent spins is imposed. For this model, it is known that P(t) follows a power-law decay with time, P(t) approximately t(-theta(q)), where theta(q) is the q-dependent persistence exponent. We study the spatial structure of the persistent region within the MMFA. We show that the persistent site pair correlation function P2(r,t) has the scaling form P2(r,t)=P(t)(2)f(r/t(1/2)) for all values of the persistence exponent theta(q). The scaling function has the limiting behavior f(x) approximately x(-2theta) (x<<1) and f(x)-->1 (x>>1). We then show within the independent interval approximation (IIA) that the distribution n(k,t) of separation k between two consecutive persistent spins at time t has the asymptotic scaling form n(k,t)=t(-2phi)g(t,k/t(phi)), where the dynamical exponent has the form phi=max(1/2,theta). The behavior of the scaling function for large and small values of the arguments is found analytically. We find that for small separations k< >t(phi), g(t,x) decays exponentially with x. The unusual dynamical scaling form and the behavior of the scaling function is supported by numerical simulations.

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Phase transition in an ensemble of dissipative solitons of a Turing system.

Numerical study of a two-component reaction-diffusion system where Turing spatial structures are formed has revealed the existence of phase transition between condensed and rarefied phases of dissipative solitons. The effect is due to the dependence of soliton structure on control parameters. The transition manifests a hysteresis, which gives evidence for the possibility of phases to coexist.

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Compressional and shear wakes in a two-dimensional dusty plasma crystal.

Wakes composed of compressional and shear waves were studied experimentally in a two-dimensional screened-Coulomb crystal. Highly charged microspheres suspended in a plasma settled in a horizontal monolayer and arranged in a triangular lattice with a repulsive interparticle potential. Wakes were excited by a moving spot of Ar+ laser light. Depending on the laser spot speed, compressional waves formed a Mach cone and multiple lateral or transverse wakes, similar to ship wakes on the water surface, due to a combination of acoustic and dispersive properties. Shear waves, however, formed only a Mach cone, due to their nearly acoustic, i.e., dispersionless character. The experimental results show agreement with a recently developed theory and with molecular dynamics simulations, which assume a binary Yukawa interparticle potential. A generally useful method is presented for calculating the real part of the dispersion relation of the compressional waves based on the analysis of the spatial structure of a phonon wake. Fitting the resulting dispersion relation provides an independent measure of the interparticle potential, parametrized by the screening parameter kappa and particle charge Q.

Journal Article↗

Particle image velocimetry measurement of the velocity field in turbulent thermal convection.

The spatial structure of the velocity field in turbulent Rayleigh-Bénard convection in water has been measured using the particle image velocimetry technique, with the Rayleigh number Ra varying from 9 x 10(8) to 9 x 10(11) and the Prandtl number remaining approximately constant (Pr approximately 4). The study provides a direct confirmation that a rotatory mean wind indeed persists for the highest value of Ra reached in the experiment. The measurement reveals that the mean flow in the central region of the convection cell is of the shape of a coherent elliptical rotating core for Ra below 1 x 10(10). Above this Ra, the orientation of the elliptical core changes by a 90 degrees angle and an inner core rotating at a lower rate inside the original bulk core emerges. It is further found that the rotation frequencies of the inner core and the outer shell have distinct scalings with Ra; the scaling exponent for the outer-shell is 0.5 and it is 0.4 for the inner core. From the measured rms and skewness distributions of the velocity field, we find that velocity fluctuations at the cell center are neither homogeneous nor isotropic. The turbulent energy production fields further reveal that the mean wind is not driven by turbulent fluctuations associated with Reynolds stress.

Journal Article↗