9,261 research outputs found

    Analytical results for a Fokker-Planck equation in the small noise limit

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    We present analytical results for the lowest cumulants of a stochastic process described by a Fokker-Planck equation with nonlinear drift. We show that, in the limit of small fluctuations, the mean, the variance and the covariance of the process can be expressed in compact form with the help of the Lambert W function. As an application, we discuss the interplay of noise and nonlinearity far from equilibrium.Comment: 5 pages, 4 figure

    Nicotinic acid, lysine, tryptophan and threonine as supplements to high protein corn

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    This bulletin reports on Department of Agricultural Chemistry research project 212, Food Conservation--P. [3].Digitized 2007 AES.Includes bibliographical references (page 14)

    Symmetry Relations for Trajectories of a Brownian Motor

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    A Brownian Motor is a nanoscale or molecular device that combines the effects of thermal noise, spatial or temporal asymmetry, and directionless input energy to drive directed motion. Because of the input energy, Brownian motors function away from thermodynamic equilibrium and concepts such as linear response theory, fluctuation dissipation relations, and detailed balance do not apply. The {\em generalized} fluctuation-dissipation relation, however, states that even under strongly thermodynamically non-equilibrium conditions the ratio of the probability of a transition to the probability of the time-reverse of that transition is the exponent of the change in the internal energy of the system due to the transition. Here, we derive an extension of the generalized fluctuation dissipation theorem for a Brownian motor for the ratio between the probability for the motor to take a forward step and the probability to take a backward step

    Impact of cytokines and T lymphocytes upon osteoclast differentiation and function

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    Historically, the osteoblast has been considered the master cell in the control of osteoclast development and, therefore, bone resorption. Now the interactions between cells of the immune system and bone cells have redefined our thinking on the regulation of bone resorption. Moreover, the crosstalk between these cell types has special significance in inflammatory conditions such as rheumatoid arthritis. This report highlights the contribution that T lymphocytes make in regulating osteoclast formation and bone resorption

    Presbyterianism in Devon and Cornwall in the seventeenth century

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    A Christian View on Segregation

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    https://egrove.olemiss.edu/citizens_pamph/1000/thumbnail.jp

    Enhancement of the stability of genetic switches by overlapping upstream regulatory domains

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    We study genetic switches formed from pairs of mutually repressing operons. The switch stability is characterised by a well defined lifetime which grows sub-exponentially with the number of copies of the most-expressed transcription factor, in the regime accessible by our numerical simulations. The stability can be markedly enhanced by a suitable choice of overlap between the upstream regulatory domains. Our results suggest that robustness against biochemical noise can provide a selection pressure that drives operons, that regulate each other, together in the course of evolution.Comment: 4 pages, 5 figures, RevTeX

    The Stochastically Subordinated Log Normal Process Applied To Financial Time Series And Option Pricing

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    The method of stochastic subordination, or random time indexing, has been recently applied to Wiener process price processes to model financial returns. Previous emphasis in stochastic subordination models has involved explicitly identifying the subordinating process with an observable quantity such as number of trades. In contrast, the approach taken here does not depend on the specific identification of the subordinated time variable, but rather assumes a class of time models and estimates parameters from data. In addition, a simple Markov process is proposed for the characteristic parameter of the subordinating distribution to explain the significant autocorrelation of the squared returns. It is shown in particular, that the proposed model, while containing only a few more parameters than the commonly used Wiener process models, fits selected fmancial time series particularly well, characterising the autocorrelation structure and heavy tails, as well as preserving the desirable self-similarity structure present in popular chaos-theoretic models, and the existence of risk-neutral measures necessary for objective derivative valuation
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