Kosztołowicz Tadeusz, Lewandowska Katarzyna D
Institute of Physics, Jan Kochanowski University, ul. Świętokrzyska 15, 25-406 Kielce, Poland.
Department of Radiological Informatics and Statistics, Medical University of Gdańsk, ul. Tuwima 15, 80-210 Gdańsk, Poland.
Biosystems. 2019 Mar;177:5-8. doi: 10.1016/j.biosystems.2018.12.008. Epub 2019 Jan 3.
We present a model of diffusion in a system consisting of a medium A, in which normal diffusion occurs, connected to a subdiffusive medium B in which absorption of diffusing particles may take place. Diffusion in B is described by the subdiffusion-absorption equation with a fractional time derivative. Solutions to equations are obtained for a specific boundary condition at the border between media. Based on the obtained results we briefly discuss the opportunity to experimentally determine whether absorption is taking place in the medium B if measurement of particles' concentration is possible in the medium A only.
我们提出了一个扩散模型，该模型所涉及的系统由介质A和亚扩散介质B组成。在介质A中发生正常扩散，介质A与亚扩散介质B相连，在亚扩散介质B中可能会发生扩散粒子的吸收。介质B中的扩散由具有分数时间导数的亚扩散吸收方程描述。针对介质之间边界处的特定边界条件，获得了方程的解。基于所得结果，我们简要讨论了在仅能测量介质A中粒子浓度的情况下，通过实验确定介质B中是否发生吸收的可能性。
