| Article |
|---|
| Article name |
The Processes of Heat and Mass Transfer in Biomaterials Limited by Nanoscale Two-Layer Membrane |
| Authors |
Yefimova I.A. Candidate of Physics and Mathematics, hol47@yandex.ru |
| Bibliographic description |
Efimova I. A. The Processes of Heat and Mass Transfer in Biomaterials, Limited NanoscaleTwo-Layer Membrane // Scholarly Notes Of Transbaikal State University. Series Physics, Mathematics, Engineering, Technology.2016. Vol. 11, No 4. P. 7-10. DOI:10.21209/2308-8761-2016-11-4-7-10. |
| Section |
MATHEMATICAL BIOLOGY |
| UDK |
517.956 |
| DOI |
10.21209/2308-8761-2016-11-4-7-10 |
| Article type |
|
| Annotation |
The article considers the boundary value problem for the Laplace equation in a half-cylinder with base in the form of a two-layer film (membrane). This task is of great interest in problems of biology because all biological organisms on their border have a multilayer protective film through which the exchange of substances occurs. The membrane discussed in the article consists of two strongly and weakly permeable layers. On the membrane there is a set to a generalized boundary condition. On the lateral surface of the half-cylinder there is a set to the Dirichlet condition. The solution is obtained in the form of Fourier-Bessel, which converges fast enough. |
| Key words |
nanotechnology, mathematical biology, two-layer film, boundary value problems |
| Article information |
|
| References |
1. Kholodovskii S. E. A Method of Convolution of Fourier Expansions as Applied to Solving Boundary Value Problems with Intersecting Interface Lines // Computational Mathematics and Mathematical Physics. 2007. Vol. 47, No. 9. P. 14891495.
2. Kholodovskii S. E. Zadachi matematicheskoi fiziki v oblastyakh s plenochnymi vklyucheniyami. Chita: Izd-vo ZabGU, 2015. 232 s.
3. Kholodovskii S. E. O mnogosloinykh plenkakh na granitse poluprostranstva // Matematicheskie zametki. 2016. T. 99. Vyp. 3. S. 421-427.
4. Tikhonov A. N., Samarskii A. A. Uravneniya matematicheskoi fiziki. M.: Nauka, 1972. 736 s. |
| Full article | The Processes of Heat and Mass Transfer in Biomaterials Limited by Nanoscale Two-Layer Membrane |
