In: Biology
A DNA molecule of 100 base pairs can be modeled as an ellipsoid of rotation. The partial specific volume is0.60 cm3/gand the approximate diameter of double helical DNA is 20A. a) Calculate the frictional coefficient fof the DNA particle assuming the viscosity of the solvent is 1 cpoise b) Calculate the diffusion coefficient of the DNA at T=293K
(a)
The relation between RH and RG is shown below:
......(1)
Here,
RG = radius of gyration
RH = hydrodynamic radius
The RG can be calculated by using the formula given below:
......(2)
Here,
N = number of base pairs
P = persistence length
The persistence length for DNA =
The approximate distance between successive base pairs in DNA =
Calculate RG using formula (2) as shown below:
Calculate RH using formula (1) as shown below:
Calculate the frictional coefficient 'f' of the DNA particle assuming the viscosity of the solvent "1 poise" using the formula as shown below:
Therefore, the frictional coefficient 'f' of the DNA particle is .
(b)
Calculate the diffusion coefficient of the DNA at T (293K) using the formula as shown below:
Therefore, the diffusion coefficient of the DNA at T (293K) is .