A Recurrent Cooperative/Competitive Field for Segmentation of Magnetic Resonance Brain Imagery

The Grey-White Decision Network is introduced as an application of an on-center, off-surround recurrent cooperative/competitive network for segmentation of magnetic resonance imaging (MRI) brain images. The three layer dynamical system relaxes into a solution where each pixel is labeled as either grey matter, white matter, or "other" matter by considering raw input intensity, edge information, and neighbor interactions. This network is presented as an example of applying a recurrent cooperative/competitive field (RCCF) to a problem with multiple conflicting constraints. Simulations of the network and its phase plane analysis are presented.

Grignard Reaction - Synthesis of Substituted Benzoic Acids

A convenient preparation of substituted benzoic acids from Grignard additions to solid carbon dioxide. Students create a library of carboxylic acids by using differentially substituted, commercially available aryl bromides, which can be used as the starting materials for a multistep synthesis. This is a modification and improvement of a very popular undergraduate organic chemistry experiment.