Diffusion models and scale-up

Setting up Large-Scale ualitative Models

Avenue, Urbana, Illinbis 61801 A qualitative physics which captures the depth and breadth of an engineer’s knowledge will be orders of magnitude larger than the models of today’s qualitative physics. To build and use such models effectively requires explicit modeIing assumptions to manage complexity. This, in turn, gives rise to the problem of selecting the right qualitative model for some purp...

Setting up Large-Scale Qualitative Models

A long-range goal of qualitative physics is to develop systematic models that capture the breadth and depth of human reasoning about the physical world . Such models will be crucial for future intelligent computer-aided design and tutoring systems . Clearly, they will need to be orders of magnitude larger than today's models . Furthermore, they must capture phenomena at several levels of detail...

Production Scale Up of Nanofibers: A Review

DEA Models with Interval Scale Inputs and Outputs

This paper proposes an alternative approach for efficiency analysis when a set of DMUs uses interval scale variables in the productive process. To test the influence of these variables, we present a general approach of deriving DEA models to deal with the variables. We investigate a number of performance measures with unrestricted-in-sign interval and/or interval scale variables.

Scale-invariance in reaction-diffusion models of spatial pattern formation.

We propose a reaction-diffusion model of spatial pattern formation whose solutions can exhibit scale-invariance over any desired range for suitable choices of parameters in the model. The model does not invoke preset polarity or any other ad hoc distinction between cells and provides a solution to the French flag problem without sources at the boundary. Furthermore, patterns other than the pola...