The workshop brought together chemists developing mathematical and computational tools for studying the motion of atoms in polyatomic molecules and mathematicians interested in numerical methods for highdimensional problems and semiclassical mechanics. Quantum and semiclassical methods applicable to diatomic molecules are well known and widely used, but the outstanding problem in this field is ...

The time-dependent Schrödinger equationmodels the quantumnature ofmolecular processes. Numerical simulations of these models help in understanding and predicting the outcome of chemical reactions. In this thesis, several numerical algorithms for evolving the Schrödinger equation with an explicitly time-dependent Hamiltonian are studied and their performance is compared for the example of a pump...

Statistical Methods in Molecular Evolution, edited by Rasmus Nielsen, contains a wide survey of current research in molecular evolution. It is organized into sections—introduction, program ‘‘tutorials,’’ models, and inference—a setup that constitutes a gentle introduction to the topic for mathematically inclined readers. For practical biologists, the start might be somewhat more challenging, al...

Molecular methods have provided renewed impetus for the analysis of the composition of the intestinal microflora in health and disease. The polymerase chain reaction coupled with denaturing gradient gel electrophoresis provides a method whereby the bacterial communities in large numbers of samples can be compared efficiently and effectively. Altered bacterial populations associated with disease...