Curves function A) Bases (X, E) in the same place with respect to the local axis (U, P) ? A1) Rotation (U i.X i - U i-1.X i-1 ) 2 - where X = J, K, L A2) Translation [(P i - E i ).X i - (P i-1 - E i-1 ).X i-1 ) 2 B) Axis straight and continuous ? B1) Rotation (U i - U i-1 ) 2 B2) Translation (Q i - Q i-1 ) 2 - where Q i = (P i - P i-1 ) -.[.(P i - P i-1 )] Final formula: F (X,Y,I,T) = 10 (A1 + B1) + (A2 + B2)
Time integration of Newton's equation of motion: F = ma -dE/dr = m dr 2 /dt 2 Taylor expansion: r(t + t) = r(t) + t dr(t)/dt + t2/2 d 2 r(t)/dt 2 + … Fastest movements: O(10 -15 s) Molecular dynamics r t
Ascona B-DNA Consortium USAEUROPE D. Beveridge, Wesleyan U. D. Case, Scripps Institute T. Cheatham, U. Utah R. Osman, Mount Sinai, NY M. Young, Berkeley F. Lankas, Herovsky Inst. Czech Republic EPFL R. Lavery, IBPC France J. Maddocks, EPFL Switzerland H. Sklenar, MDC Germany
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