| Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 6, 2017
Special Issue - Nonlocal and delay equations
|
|
|---|---|---|
| Page(s) | 118 - 129 | |
| DOI | https://doi.org/10.1051/mmnp/2017079 | |
| Published online | 30 December 2017 | |
How to identify absorption in a subdiffusive medium
1
Institute of Physics, Jan Kochanowski University,
ul. Świȩtokrzyska 15,
25-406
Kielce, Poland
2
Department of Radiological Informatics and Statistics, Medical University of Gdańsk,
ul. Tuwima 15,
80-210
Gdańsk, Poland
tadeusz.kosztolowicz@ujk.edu.pl
Received:
29
October
2017
Accepted:
29
October
2017
We consider subdiffusion in a system which consists of two different media separated by a thin membrane. In one of the media particles’ absorption can occur. Such systems can be studied experimentally but, due to technical reasons, it is not always possible to measure concentration profiles in the medium in which absorption can be present. We show the method which allows one to recognize whether absorption is present in such a medium knowing concentration profiles of diffusing substance in the other medium.
Mathematics Subject Classification: 82C70 / 60G22 / 39A50
Key words: Transport processes / membrane systems / biological applications
© EDP Sciences, 2007
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