Modelling populations of prokaryotic cells: the n-layered mRDG approximation

In this paper, explicit expressions for the Scattering Amplitude elements of spherically symmetric inhomogeneous particles using the modified RDG approximation (mRDG) are derived. Computer simulation algorithms have been developed for the calculation of Scattered Light Intensity (full and backscattering) from a multi-layered sphere with an arbitrary number of layers. All quantities are estimated within the biological cell domain and in particular that of prokaryote. We have extended a previously proposed size distribution to account for the evident size asymmetry in nature. Simulation results show that the proposed model's rapid calculations are comparable in performance with that of Mie or RDG models. Finally, to the best of our knowledge, the included relative error study between these theories and for n-layered spheres is the first to appear.