A new approach to modelling pedestrians' avoidance dynamics based on a Fokker-Planck (FP) Nash game framework is presented. In this framework, two interacting pedestrians are considered, whose motion variability is modelled through the corresponding probability density functions (PDFs) governed by FP equations. Based on these equations, a Nash differential game is formulated where the game stra...

Using C, C, O and O isotopic variations to provide insights into the high northern latitude surface CO inventory T. Röckmann1,2, P. Jöckel2, V. Gros2, M. Bräunlich2, G. Possnert3, and C. A. M. Brenninkmeijer2 1Max-Planck-Institut für Kernphysik, Bereich Atmosphärenphysik, Heidelberg, Germany 2Max-Planck-Institut für Chemie, Abteilung Luftchemie, Mainz, Germany 3Uppsala University, Angdtrömlabor...

We review modeling of astrocyte ion dynamics with a specific focus on the implications of socalled spatial potassium buffering where excess potassium in the extracellular space (ECS) is transported away to prevent pathological neural spiking. The recently introduced KirchoffNernst-Planck (KNP) scheme for modeling ion dynamics in astrocytes (and brain tissue in general) is outlined and used to s...

We present a quasi-steady state reduction of a linear reaction-hyperbolic master equation describing the directed intermittent search for a hidden target by a motor-driven particle moving on a one-dimensional filament track. The particle is injected at one end of the track and randomly switches between stationary search phases and mobile nonsearch phases that are biased in the anterograde direc...

The Perspectives on Ion Permeation in the June issue of The Journal of General Physiology provided a unique exposition of contrasting views regarding kinetic rate models, electrodiffusions, Brownian dynamics, and PoissonNernst-Planck (PNP). The debate is timely, healthy, and desirable, because recent progress in the determination of the three-dimensional structure of biological ion channels at ...

The National Institute of Standards and Technology (NIST) watt balance experiment completed a determination of Planck constant in 1998 with a relative standard uncertainty of 87 × 10(-9) (k = 1), concurrently with an upper limit on the drift rate of the SI kilogram mass standard. A number of other fundamental physical constants with uncertainties dominated by this result are also calculated. Th...

nanofiltration-based separation processes have found diverse applications in industrial and environmentalproblems recently, due to several advantages such as lower energy requirement and elevated flux ratescompared with their reverse osmosis (ro) counterparts. several attempts have been made for modellingnf-based separation processes ranging from rigorous space-charge approaches to simpler irre...

J. Honolka,1,2,* S. Masmanidis,2 H. X. Tang,2 D. D. Awschalom,3 and M. L. Roukes2 1Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, 70569 Stuttgart, Germany 2Condensed Matter Physics 114-36, California Institute of Technology, Pasadena, California 91125, USA 3Department of Physics, University of California, Santa Barbara, California 93106, USA Received 7 March 2007; revised man...

recent experiments on the spherical tokamak have discovered the conditions to create a powerful plasma and ensure easy shaping and amplification of stability, high bootstrap current and confinement energy. the spherical tours (st) fusion energy development path is complementary to the tokamak burning plasma experiment such as nstx and higher toroidal beta regimes and improves the design of a po...