Biologija / Biology
 ISSN 1392-0146 ISSN 2029-0578 (online) |
2007 m. Nr. 4 Anomalous phospholipid subdiffusion in compartmentalized cell membrane and the mathematical model of the time-dependent diffusion coefficient
Recent experimental data on an anomalous diffusion of phospholipids in compartmentalized cell membrane are analysed. A new mathematical model of passive transport with the time-dependent diffusion coefficient is proposed. The model with the step-type asymptotical dependence of the diffusion coefficient is applied to a concrete example, and a correspondence between the experimental and theoretical results is shown. The random distribution of immobilized obstructions as well as the membrane skeleton meshwork offer a theoretical basis for modifying the available models of transport and thus for refining the diffusion model. The experimentally obtained time-dependend coefficient of diffusion is shown to agree with the proposed theoretical model.
Keywords: passive transport, the first Fick’s law, mathematical modeling |
Issues:
2011 - Vol.57 No. 1, No. 2, No. 3 2010 - Vol.56 No. 1-4 2009 - Vol.55 No. 1-2, No. 3-4 2008 - Vol.54 No. 1, No. 2, No. 3, No. 4 2007 - Vol.53 No. 1, No. 2, No. 3, No. 4 2006 No. 1, No. 2, No. 3, No. 4 2005 No. 1, No. 2, No. 3, No. 4 2004 No. 1, No. 2, No. 3, No. 4 2003 No. 1, No. 2, No. 3, No. 4 2002 No. 1, No. 2, No. 3, No. 4 2001 No. 1, No. 2, No. 3, No. 4 |