Anomalous diffusion in Schizosaccharomyces pombe cell cytoplasm and the fractional generalization of Fick’s law

Abstract

Recent experimental data on an anomalous diffusion in living yeast cell are analyzed. A new mathematical model of passive transport by the concentration gradient is proposed. The macroscopic size of the diffusing molecules and the inhomogeneous character of the cytoplasmic medium offer a theoretical basis for modifying the available models of transport and thus for refining Fick’s law. Keywords: passive transport, the first Fick’s law, mathematical modeling