Topology in Molecular Biology (eBook)

M.Monastyrsky is a professor of mathematics and theoretical physicsat the Institute of Theoretical and Experimental Physics,Moscow,Russia,graduated  the mathematical department of Moscow state university(1967),author of numerous papers in diferent fields of mathematics andtheoretical physics including the monograph :Topology in Gauge Fieldsand Condensed Matter (Plenum,1993 ) and two other books:Riemann,TopologyPhysics,Birkhauser,Boston,1999 ,2nd ed. and Modern mathematics in thelight of Fields medals,AKPeters,1997.I gave invited plenary talks onmany conferences and was the visiting professor of many universitiesand institutes including IAS(Princeton),Harvard,Princeton and YaleUniversities (USA),Cambridge and Oxford Universities (Great Britain),IHES and Universite de Paris (France).

Topology in Biology: From DNA Mechanics to Enzymology.- Monte Carlo Simulation of DNA Topological Properties.- Dynamics of DNA Supercoiling.- From Tangle Fractions to DNA.- Linear Behavior of the Writhe Versus the Number of Crossings in Rational Knots and Links.- Combinatories and Topology of the ?-Sandwich and ?-Barrel Proteins.- The Structure of Collagen.- Euler Characteristic, Dehn–Sommerville Characteristics, and Their Applications.- Hopf Fibration and Its Applications.- Multi-Valued Functionals, One-Forms and Deformed de Rham Complex.- The Spectral Geometry of Riemann Surfaces.