Effect of cell arrangement and interstitial volume fraction on the diffusivity of monoclonal antibodies in tissue

Effect of cell arrangement and interstitial volume fraction on the diffusivity of monoclonal antibodies in tissue

  • El-Kareh, A. W., Braunstein, S. L. and Secomb, T. W. (1993): Biophysics Journal 64, 1638-1646. (PDF)

    ABSTRACT: The authors present theoretical calculations relating the effective diffusivity of monoclonal antibodies in tissue (D_eff) to the actual diffusivity in the interstitium (D_int) and the interstitial volume fraction phi. Measured diffusivity values are effective values, deduced from concentration profiles with the tissue treated as a continuum. By using homogenization theory, the ratio D_eff/D_int is calculated for a range of interstitial volume fractions from 10 to 65%. It is assumed that only diffusion in the interstitial spaces between cells contributes to the effective diffusivity. The geometries considered have cuboidal cells arranged periodically, with uniform gaps between cells. D_eff/D_int is found to generally be between (2/3) phi and phi for these geometries. In general, the pathways for diffusion between cells are not straight. The effect of winding pathways on D_eff/D_int is examined by varying the arrangement of the cells, and found to be slight.