1:00 pm Tuesday, February 14, 2006
Biomathematics Seminar: Topology and Geometry and their use to Structural Biology by
Chandrajit Bajaj (UT Austin, Department of Computer Sciences) in RLM 12.166
Contour trees and Morse complexes as embedded graphs with non-degenerate critical points (zero gradient of functions), together with linking manifolds, capture the topology and the invariant geometry of smooth functions. Viruses (macromolecules of proteins and nucleic acids), are one of the smallest parasitic nano-organisms that are agents of human disease. They have no systems for translating RNA, ATP generation, or protein, nucleic acid synthesis, and therefore need the subsystems of a host cell to sustain and replicate. I shall show how these mathematical graphs provide a useful mechanism for elucidating the structure of proteins such as hemoglobin and the ultra-structure of viruses. Submitted by
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