A new computational scheme, based on the Brownian dynamics and Monte Carlo
techniques, was used to calculate the dynamic structure factor of supercoil
ed SV40 DNA (5243 base pairs) in 0.1 M sodium chloride solution. All model
parameters are known independently, and none are fitted. The results are in
good agreement with earlier dynamic light scattering measurements. The cal
culated dynamic structure factor, as a function of time, could be very well
approximated by a simple analytical formula. The analysis of the experimen
tal data based on this formula allows one to obtain the distribution functi
on for relaxation times of intramolecular motions, if additional informatio
n about the DNA structure is available from Monte Carlo simulations. The ra
nge of relaxation times for supercoiled SV40 DNA comprises approximately 2
orders of magnitude, with the upper boundary exceeding 1 ms.