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http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/29503| Title: | Effects of Relaxation Times from the Bloch Equations on Age Related Changes in White and Grey Matter |
| Authors: | Yusuf, S. I. Olaoye, D. O. Dada, M. O. Saba, A. Audu, K. J. Ibrahim, J. A. Jatto, A. O. |
| Keywords: | Forcing function, Grey Matter, White matter, Spin lattice and Spin-spin relaxation |
| Issue Date: | 20-Feb-2024 |
| Publisher: | International Journal of Mathematical Science and Optimization: Theory and Application |
| Abstract: | This research work presented the analytical method of using T1 and T2 relaxation rates of white matter and grey matter to distinguish the passage of time on human organs. A time dependent model equation evolved from the Bloch Nuclear Magnetic Resonance equation was solved under the influence of the radio frequency magnetic field [rf B1(x, t)̸ = 0] and in the absence of radio frequency magnetic field [rf B1(x, t) = 0]. The general solution was considered in three cases. Analysis of the solutions obtained revealed that the rate of decrease of the white matter was faster than that of the grey matter. Between 100 and 400 seconds the difference is more noticeable. |
| URI: | http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/29503 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Age Related changes in White and Grey matter.pdf | 547.34 kB | Adobe PDF | View/Open |
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