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We analyze a pair of diffusion equations which are derived in the infinite system-size limit from a microscopic, individual based, stochastic model. Deviations from the conventional Fickian picture are found which ultimately relate to the depletion of resources on which the particles rely. The macroscopic equations are studied both analytically and(More)
Diffusion of a two component fluid is studied in the framework of differential equations, but where these equations are systematically derived from a well-defined microscopic model. The model has a finite carrying capacity imposed upon it at the mesoscopic level and this is shown to lead to nonlinear cross diffusion terms that modify the conventional(More)
In this work we propose a mathematical model for the kinetics of tramadol, a synthetic opioid commonly used for treating moderate to severe pain. This novel theoretical framework could result in an objective criterion on how to adjust the assigned dose, depending on the genetic polymorphisms of CYP2D6. The model describes the coupled dynamics of tramadol(More)
The issue of protein dynamics and its implications in the biological function of proteins are arousing greater and greater interest in different fields of molecular biology. In cryo-electron tomography experiments one may take several snapshots of a given biological macromolecule. In principle, a large enough collection of snapshots of the molecule may then(More)
A stochastic version of the Brusselator model is proposed and studied via the system size expansion. The mean-field equations are derived and shown to yield to organized Turing patterns within a specific parameters region. When determining the Turing condition for instability, we pay particular attention to the role of cross-diffusive terms, often neglected(More)
Cerato-ulmin (CU) is a fungal toxin class II hydrophobin, involved in Dutch elm disease. The formation of hydrophobin films at the air-water interface is a key mechanism which plays a role of paramount importance at different stages of the fungal development. We present a study on the precursor stages of growth towards the self-assembly aggregation film of(More)
We propose a simple dynamical system to interpret the gait time series from patients affected by three neurodegenerative diseases: Parkinson, Huntington and Amyotrophic Lateral Sclerosis. The model is shown to reproduce the main aspects of the experimental time series. Within this scenario, quantitative differences in specific indicators are detected thus(More)
Cerato-platanin (CP), the first member of the "cerato-platanin family", is a moderately hydrophobic protein produced by Ceratocystis fimbriata, the causal agent of a severe plant disease called "canker stain". The protein is localized in the cell wall of the fungus and it seems to be involved in the host-plane interaction and induces both cell necrosis and(More)
We study a simplified scheme of k coupled autocatalytic reactions, previously introduced by Togashi and Kaneko. The role of stochastic fluctuations is elucidated through the use of the van Kampen system-size expansion and the results compared with direct stochastic simulations. Regular temporal oscillations are predicted to occur for the concentration of(More)
We propose here a model to simulate the process of opinion formation, which accounts for the mutual affinity between interacting agents. Opinion and affinity evolve self-consistently, manifesting a highly nontrivial interplay. A continuous transition is found between single and multiple opinion states. Fractal dimension and signature of critical behavior(More)