Calculation of dielectrophoretic force acting on biological cells and on micro- and nanoparticles

It is presented a theory that permits to calculate the ac dielectrophoretic force acting on biological cells and other micro- and nanoparticles of arbitrary shape. The theory includes intrinsically all the higher-order terms of dielectrophoretic force without additional computation costs. For sufficiently small electric field gradients the dielectrophoretic force is weighted by the induced cell dipole moment that depends on both shape and electric parameters of the cell. Examples of red blood cells are given.