| Area of Math | Examples of Applications |
| General | Malkevitch, Joseph(2002) Mathematics and the Genome, |
| Classical Statistics. | Analysis of variance, Chi-square, Path analysis in quantitative
genetics,
Multivariate Statistics Example: Kerr, M. K., and Churchill, G. A. (2001). Statistical
design and the analysis of gene expression microarrays. Genetical
Research 77, 123-128.
|
| Information theory | Analysis of genomes and measures of complexity, redundancy,
similarity measures
Example: see: Chris Hillman(2001) Entropy in the Biological Sciences |
| Neural networks/AI techniques | Pattern recognition systems for recognizing patterns of
gene expression. Useful in studies of evolution and for medical diagnostics
and data mining:
Example: Germano, Tom(1999) Self Organizing Maps
|
| Topology/geometry | DNA packing, Protein folding
Example: Sumners, De Witt (1995) Lifting the Curtain: Using Topology to Probe the Hidden Action of Enzymes
|
| Markov chains and related techniques | Example: Hidden Markov Models and Protein Sequence Analysis |
| Classification/cluster analysis | Comparative genomics, Analysis of patterns of gene
expression.
Example: Kerr, M. K., and Churchill, G. A. (2000). Bootstrapping cluster analysis: assessing the reliability of conclusions from microarray experiments. |
| Stochastic simulations | Population genetics/evolution; genetic algorithms
Examples: The Genetic Algorithms Archive Levitan, Bennett(1997) Models and Search Strategies for Applied Molecular Evolution. Annual reports in Combinatorial Chemistry and Molecular Diversity(M.R. Pavia, W. H. Moos, A. D. Ellington and B. K. Kay, editors) |