Research Summary and Plan

نویسنده

  • Lawren Smithline
چکیده

My research on algorithms applies to two general areas, mathematical biology and number theory. My switch to biological problems is recent. The broader impact of extracting information from biological sequences is great, despite the difficulty of precise problem definition. My graduate thesis develops a specialized number theory algorithm which converts a question about modular forms into a combinatorial problem. The basic problem of finding the prime divisors of an integer is a continuing interest of mine. I continue to consult for Institute for Defense Analyses (IDA), due to the application of number theory to cryptography. I plan to continue developing biological sequence comparison algorithms. Goals include gaining insight into the process of evolution and understanding the semantics of the genetic code. In the immediate future, I will refine the methods I describe below. Probabilitistic pairwise visualization (PPV) allows sequences to be compared using a data array which translates into an image showing regions of higher and lower correlation. The numerical data can then be processed by digital image techniques. It is a challenging programming problem to generalize to multiple sequences. Traceback and realignment of gaps (TAR) is a separate algorithm designed as part of an improvement to the CLUSTAL progressive multiple sequence alignment. These methods have been tested on data from mouse, rat, and yeast. They can each benefit from development of stronger underlying models of evolution. I would like to use them to go beyond the information developed using other strategies, examining both larger and more complex data sets.

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تاریخ انتشار 2003