Anna Ochab–Marcinek Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30–059 Kraków, Poland (Dated: 13 May 2005) Abstract We study a spatially inhomogeneous model of cancer growth based on Michaelis–Menten kinetics, subjected to additive Gaussian noise and multiplicative dichotomous noise. In presence of the latter, we can observe a transition between two stationary ...

Title: Care for MRSA carriers in the outpatient sector: A survey among MRSA carriers and physicians in two regions in Germany Authors: Heike Raupach-Rosin ([email protected]) Nicole Rübsamen ([email protected]) Sebastian Szkopek ([email protected]) Oliver Schmalz ([email protected]) André Karch ([email protected]) Rafael Mikolajczyk (rafael.mikol...

The influence functional method of Feynman and Vernon is used to obtain a quantum master equation for a system subjected to a Lévy stable random force. The corresponding classical transport equations for the Wigner function are then derived, both in the limits of weak and strong friction. These are fractional extensions of the Klein-Kramers and the Smoluchowski equations. It is shown that the f...

finite and boundary element methods have been used by many authors to solve mathematicalphysics problems. however, the coupling of these two methods happens to be more efficient as it combinestheir merits. in this paper, the mathematical analysis of the coupling of finite and boundary element methodsfor the helmholtz equation is presented.

The Smoluchowski equations, which describe coalescence growth, take into account combination reactions between a j-mer and a k-mer to form a (j+k)-mer, but not breakup of larger clusters to smaller ones. All combination reactions are assumed to be second order, with rate constants K(jk). The K(jk) are said to scale if K(lambda j,gamma k) = lambda(mu)gamma(nu)K(jk) for j < or = k. It can then be...

Grazing flow passing over the quiescent fluid inside the cavity of a Helmholtz resonator can excite the resonator. When the frequency of the instabilities within the shear layer is near the natural frequency of the resonator then flow-excited resonance will occur. This process causes self-sustained periodic oscillations of the flow over the orifice of the resonator. Quantitative numerical predi...

The stochastic model of the Feynman–Smoluchowski ratchet is proposed and solved using generalization of the Fick–Jacobs theory. The theory fully captures nonlinear response of the ratchet to the difference of heat bath temperatures. The ratchet performance is discussed using the mean velocity, the average heat flow between the two heat reservoirs and the figure of merit, which quantifies energe...

In this paper we describe two models for neural grounding of robotic language processing in actions. These models are inspired by concepts of the mirror neuron system in order to produce learning by imitation by combining high-level vision, language and motor command inputs. The models learn to perform and recognise three behaviours, ‘go’, ‘pick’ and ‘lift’. The first single-layer model uses an...

Iana Markevych ([email protected]) Elisabeth Thiering ([email protected]) Elaine Fuertes ([email protected]) Dorothea Sugiri ([email protected]) Dietrich Berdel ([email protected]) Sibylle Koletzko ([email protected]) Andrea von Berg ([email protected]) Carl-Peter Bauer (cpbauer@t-online...