After the pioneering work of Scott Delp and colleagues dated 1990 (An interactive graphics-based model lower extremity to study orthopaedic surgical procedures, [...]

Jerzy Neyman and Elizabeth Scott developed the idea of synthetic plots. These plots are a display of the data values of an experiment side by side with a display of simulated data values, with the simulation-based on a considered stochastic model. The Neyman and Scott work concerned the distribution of galaxies on the celestial sphere. A review of their wo is presented here followed by personal...

The reaction diffusion Gray-Scott model with time delay is put forward the assumption of Neumann boundary condition satisfied. Based on Turing bifurcation condition, curves two parameter plane are discussed without delay. normal form computed via applying Lyapunov-Schmidt reduction method in system PDE, and bifurcating direction pitchfork underlying codimension-1 singularity point computed. con...

We discovered a type of spiral wave solutions in reaction-diffusion systems--spike spiral wave, which significantly differs from the spiral waves observed in the models of FitzHugh-Nagumo type. We present an asymptotic theory of these waves in the Gray-Scott model [Chem. Sci. Eng. 38, 29 (1983)]. We derive the kinematic relations describing the shape of this spiral, and find the dependence of i...

Domain theory began in an attempt to provide mathematical models for high-level programming languages, an area where it has proved to be particularly useful. It is perhaps the most widely-used method for devising semantic models for such languages. This paper is a survey of some generalizations of domain theory that have arisen in efforts to solve related problems. In each case, a description i...