Phase II Clinical Trial Design: Methods in Translational Research from the Genitourinary Committee at the Eastern Cooperative Oncology Group. Robert Gray, Judith Manola, Scott Saxman, John Wright, Jan Dutcher, Michael Atkins, Michael Carducci, William See, Christopher Sweeney, Glenn Liu, Mark Stein, Robert Dreicer, George Wilding, and Robert S. DiPaola .............................................

Abstract In the present paper, one-dimensional Gray-Scott Reaction-diffusion equation is solved numerically with usage of Hyperbolic B-spline along differential quadrature method. The hyperbolic used to discretize partial derivatives, by which ordinary equations will be obtained further are SSP-RK43 scheme. efficiency and accuracy method checked using L ∞ 2 errors. numerical results shown help ...

<p style='text-indent:20px;'>In this study, the formation of adult sea urchin shape is rationalized within Turing's theory paradigm. The emergence protrusions from expanding underlying surface described through a reaction-diffusion model with Gray-Scott kinetics on growing oblate spheroid. case slow exponential isotropic growth considered. first studied in terms spatially homogenous equil...

We present a method for mesoscopic, dynamic Monte Carlo simulations of pattern formation in excitable reaction-diffusion systems. Using a two-level parallelization approach, our simulations cover the whole range of the parameter space, from the noise-dominated low-particle number regime to the quasi-deterministic high-particle number limit. Three qualitatively different case studies are perform...

In this article, we discuss the relationships between thermodynamic quantities and the spatial pattern in a reaction-diffusion model based on the reversible Gray-Scott model. This model is introduced for calculation of the entropy production in a reaction-diffusion system. First, we show the relationship between entropy production and pattern formation, and suggest that the entropy production c...