### Random Subcloning: the Beta
Distribution Model

**Jared C. Roach**
Department of Molecular Biotechnology

University of Washington

Seattle, Washington, 98195

Random subcloning strategies are commonly employed in both physical
mapping and DNA sequencing. Mathematical modeling is useful in
planning such strategies and in providing a reference for their
evaluation. Current analytic models for random subcIoning were
originally developed for mapping projects and are accurate at low
redundancy (Lander and Waterman, 1988). However, many sequencing
projects are executed with higher redundancies and are not accurately
modeled with existing theory. Additionally, genome spanning maps
necessitate high redundancy cloning. The use of the beta distribution
to model fragment start sites generated from finite genomes bridges
many of the difficulties encountered by previous models. The general
utility of the beta distribution and fragment start site approach is
illustrated here with a new mathematical model for random shotgun
strategies. Comparison with computer simulations and experimental data
shows that this model is accurate at all redundancies.

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Document last modified on March 28, 2000.