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Biomedical subjects

Michael Schulz

Publications and source records attributed to Michael Schulz.

9 recordsLinked to original sources

340,000-year centennial-scale marine record of Southern Hemisphere climatic oscillation.

In order to investigate rapid climatic changes at mid-southern latitudes, we have developed centennial-scale paleoceanographic records from the southwest Pacific that enable detailed comparison with Antarctic ice core records. These records suggest close coupling of mid-southern latitudes with Antarctic climate during deglacial and interglacial periods. Glacial sections display higher variability than is seen in Antarctic ice cores, which implies climatic decoupling between mid- and high southern latitudes due to enhanced circum-Antarctic circulation. Structural and temporal similarity with the Greenland ice core record is evident in glacial sections and suggests a degree of interhemispheric synchroneity not predicted from bipolar ice core correlations.

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Shear-induced solid-fluid transition in a wet granular medium.

We present a numerical study of a shear-induced solid-fluid transition in wet granular matter. The simulation is based on a simple model that considers both the cohesive forces induced by the adsorbed liquid amount and the repulsive forces due to the excluded volume interaction of the granules. Dissipation is assumed to be entirely due to the hysteretic character of the cohesive forces. In particular, we analyze the dynamics of the system close to the phase transition from solidlike behavior to a mobile ergodic state under the influence of an external force field F, when the latter exceeds a critical force F(c). Diffusion coefficients, dissipation, and kinetic order parameters can be expressed as characteristic scaling laws.

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Disorder-induced genetic divergence: a Monte Carlo study.

We present a Monte Carlo simulation of a system composed of several populations, each living in a possibly different habitat. We show the influence of landscape disorder on the genetic pool of finite populations. We demonstrate that a strongly disordered environment generates an increase of the genetic distance between the populations on identical island. The distance becomes permanent for infinitely long times. On the contrary, landscapes with weak disorder offer only a temporarily allelic divergence which vanishes in the long time limit. Similarities between these phenomena and the well-known first-order phase transitions in the thermodynamics are analyzed.

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The global distribution of acidifying wet deposition.

The acid-base status of precipitation is a result of a balance between acidifying compounds--mainly oxides of sulfur and nitrogen--and alkaline compounds--mainly ammonia and alkaline material in windblown soil dust. We use current models of the global atmospheric distribution of such compounds to estimate the geographical distribution of pH in precipitation and of the rate of deposition of hydrogen ion or bicarbonate ion. The lowest pH values--mainly due to high concentration of sulfuric acid--occur in eastern parts of North America, Europe, and China. A comparison with observed pH values shows fair agreement in most parts of the world. However, in some areas, e.g. western North America, southwestern Europe, and northern China the estimated pH is too low, indicating that we have underestimated the deposition flux of alkaline material, probably mainly CaCO3. Our neglect of organic acids may have contributed to an overestimate of pH especially in certain tropical areas. To illustrate the potential effects of acidifying deposition on nitrogen saturated terrestrial ecosystems we also calculate the deposition of "potential acidity" that takes into account the microbial transformation of ammonium to nitrate in such ecosystems, resulting in the release of hydrogen ion. Compared to the deposition of acidity, with its maxima over Europe, eastern North America, and southern China, the deposition of potential acidity exhibits an additional maximum in India and Bangladesh and in several other smaller hot spots where the cycling of ammonia is enhanced by a dense cattle population. To the extent that soils in these areas of high potential acidity deposition actually become nitrogen saturated a depletion of base cations and other changes in soil chemistry and biology should be expected. Potential problem areas forfuture soil acidification include several regions with sensitive soils in southern, southeastern, and eastern Asia as well as in central parts of South America.

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Random walks with feedback on fractal lattices.

We study numerically a random walk under the competitive processes of a self-organized feedback coupling, characterized by a strength lambda and an underlying fractal lattice. Whereas a fractal structure favors a subdiffusive behavior, a dynamical feedback leads either to localization in case of an attractive feedback, lambda>0, or to superdiffusion for a repulsive memory strength lambda<0. Under the influence of both processes the dynamical exponent z is changed. For a Sierpinski gasket or a Sierpinski carpet with repulsive feedback coupling we get 2/z=1.04 or 2/z=1.08, respectively. When an attractive feedback is dominant, the system offers localization as in the case of a random walk in regular lattices. The numerical results are strongly supported by analytical studies based on scaling arguments.

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Memory driven Ginzburg-Landau model.

The time evolution of a bistable Ginzburg-Landau model (GL) with a non-Markovian memory term of strength lambda is studied. Due to the nonlinear feedback coupling, the two branches of the stationary solution are not only controlled by the sign of the initial condition P(0), but also by the strength and the sign of lambda. Whereas in case of a positive lambda the stationary solution is ever reduced through the memory, it may be increasing for lambda<0. In that case the system is also able to switch over between both branches of the stationary solution. Such an ability is exclusively achieved for a negative lambda within an interval -u<lambda<lambda(c), where lambda(c) is a critical memory strength and u is the strength of the conventional nonlinear term within the GL. The complete phase diagram is presented in the P(0)-lambda plane analytically and numerically.

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Evolution model with a cumulative feedback coupling.

The paper is concerned with a toy model that generalizes the standard Lotka-Volterra equation for a certain population by introducing a competition between instantaneous and accumulative, history-dependent nonlinear feedback the origin of which could be a contribution from any kind of mismanagement in the past. The results depend on the sign of that additional cumulative loss or gain term of strength lambda. In case of a positive coupling the system offers a maximum gain achieved after a finite time but the population will die out in the long time limit. In this case the instantaneous loss term of strength u is irrelevant and the model exhibits an exact solution. In the opposite case lambda<0 the time evolution of the system is terminated in a crash after t(s) provided u=0. This singularity after a finite time can be avoided if u not equal to 0. The approach may well be of relevance for the qualitative understanding of more realistic descriptions.

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Classical kinetical Bose gas.

An autocatalytic reaction combined with spontaneous creation and annihilation processes of particles are studied in a quantum formalism of the master equation in a lattice gas representation with unrestricted occupancy. In case the system is activated by a linear coupling to a heat bath the problem can be solved exactly and the stationary particle density follows the Bose distribution. The relation to spin-flip processes with a restricted occupancy is discussed. Different from those processes the relaxation time and the density fluctuation increase in the high-temperature limit. On a small scale the mutual interaction between the particles is relevant. While in case of a repulsive interaction the stationary solution becomes unstable against short wavelength fluctuations, an attractive interaction leads to an instability for long wavelength fluctuations. The system decays in domains, the size of which can be estimated as a function of temperature and interaction strength. The model is also appropriate to study the growth of open bacterial colonies under the influence of a competitive interaction between the species.

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Ultrathin-layer chromatography.

The development of ultrathin-layer silica gel plates with a monolithic structure opens up a new dimension in thin-layer chromatography (TLC). The very small layer thickness of approximately 10 microm and the absence of any kind of binder in combination with the framework of this stationary phase lead to new and improved properties of these ultrathin-layer chromatographic (UTLC) silica-gel plates compared with conventional TLC and high-performance TLC (HPTLC) precoated layers. First of all, the advantages of the UTLC plates are the very short migration distances and, in combination with this, the short development times as well as the very low consumption of solvents as the mobile phase in connection with high sensitivity. The separations of amino acids, pesticides, pharmaceutically active ingredients, phenols, and plasticizers effectively demonstrate the possibilities of the new ultrathin-layer silica-gel plates. Furthermore, a comparison of UTLC, HPTLC, and TLC concerning retention behavior, efficiency, detection limits, migration times, and solvent consumption is performed effectively by the separation of caffeine and paracetamol.

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