Molecular dynamical method for analyzing the bio molecular particle at the neighbor of the biological membrane

摘要

We introduce a mathematical method for predicting micro hydrodynamical behavior of one biomolecules at very narrow space that has been proposed by Ganatos (1982). One solution was an infinite series in spherical co-ordinates which have planar symmetry about the plane y=0 which is perpendicular to the longitudinal axis of the cylinder coordinate. This solution vanishes as r approaches to infinite. Another solution was a double Fourier integral in rectangular coordinates which produce finite velocities in the flow filed. The basic form of them were composed of Legendre spherical function, modified Bessel functions. The coefficients of these solutions were Set to satisfy the no-slip boundary conditions on both infinite confining walls simultaneously for an arbitrary disturbance representing a sphere of unspecified size position d velocity. The present method will be available for predicting bio molecular particle at narrow biological space.