| Presentation | 1999/12/11 Method for Analyzing Mutual Molecular Interactions between the Bio- Molecular Particles at an Unsteady Potential Filed. H. Hirayama, N. Kitagawa, Y. Okita, T. Kazui, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We introduce a mathematical method proposed by Rushton (Appl. Sci. Res. vol 37-. 1973) for analyzing the molecular particle interactions which always exist in any biological potential fields. The basic equations to be solved are the Stokes's equation and continuity equations. They were expressed in a bipolar coordinates system under the no slipping condition on the surface of the molecular particle. A rigorous mathematical treatment revealed that the solutions are series expansion of the products of Gegenbauer function and hyperbolic functions. The unknown coefficient of the series were determined by the boundary conditions. Extension of his method affords a formula for computing the shear stress acting on the molecular surface. His method will be available for evaluating the functional interaction between the bio molecular particles in a potential field. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Bio-molecular particles / Bi-polar coordinates / Potential field / Gegenbauer function / Shear stress |
| Paper # | MBE99-115 |
| Date of Issue |
| Conference Information | |
| Committee | MBE |
|---|---|
| Conference Date | 1999/12/11(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | ME and Bio Cybernetics (MBE) |
|---|---|
| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Method for Analyzing Mutual Molecular Interactions between the Bio- Molecular Particles at an Unsteady Potential Filed. |
| Sub Title (in English) | |
| Keyword(1) | Bio-molecular particles |
| Keyword(2) | Bi-polar coordinates |
| Keyword(3) | Potential field |
| Keyword(4) | Gegenbauer function |
| Keyword(5) | Shear stress |
| 1st Author's Name | H. Hirayama |
| 1st Author's Affiliation | Department of Public Health Asahikawa medical college() |
| 2nd Author's Name | N. Kitagawa |
| 2nd Author's Affiliation | Department of Public Health Asahikawa medical college |
| 3rd Author's Name | Y. Okita |
| 3rd Author's Affiliation | The Graduate School of Shizuoka university |
| 4th Author's Name | T. Kazui |
| 4th Author's Affiliation | The First Department of Surgery Hamamatsu medical college. |
| Date | 1999/12/11 |
| Paper # | MBE99-115 |
| Volume (vol) | vol.99 |
| Number (no) | 493 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |