Mathematical Modeling of Cell Packings

Abstract

The concept of packing density of cells is discussed in this paper. In particular it is well known that in two extreme cell packing cases, the value of packing density are . But most often perfect packing of cells may not be possible. To find the packing density in such non-idealized packing of cells, I had introduced a prototype random sequential adsorption model whose solution is derived mathematically. Finally, the limiting packing density of the cells in non-idealized conditions is determined and it is found be in good agreement with the average of the possible packing density values in idealized situations.