A Three-Component Model for Magnetization Transfer. Solution by Projection-Operator Technique, and Application to Cartilage
✍ Scribed by Ronald S. Adler; Scott D. Swanson; Hong N. Yeung
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 204 KB
- Volume
- 110
- Category
- Article
- ISSN
- 1064-1866
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✦ Synopsis
A projection-operator technique is applied to a general threelems remain. Recent efforts have provided methods for incomponent model for magnetization transfer, extending our previcluding an arbitrary lineshape for the CRS ( 14), and includous two-component model [R. S. Adler and H. N. Yeung, J. Magn. ing a Gaussian shape for the solid component (15), a super-Reson. A 104, 321 (1993), and H. N. Yeung, R. S. Adler, and Lorentzian shape for the solid (16), and a three-component S. D. Swanson, J. Magn. Reson. A 106, 37 (1994)]. The PO techmodel (17). nique provides an elegant means of deriving a simple, effective Our previous work (18, 19) has utilized the projectionrate equation in which there is natural separation of relaxation operator (PO) technique, developed by Zwanzig (20) and and source terms and allows incorporation of Redfield-Provotorov Mori and Fujisaka (21), to describe the MT problem. In this theory without any additional assumptions or restrictive condiwork, we extend the previously considered two-component tions. The PO technique is extended to incorporate more general, multicomponent models. The three-component model is used to model to a three-component model. PO techniques are well fit experimental data from samples of human hyaline cartilage suited for studying multicomponent models when only one and fibrocartilage. The fits of the three-component model are comcomponent is experimentally observable, as is the case with pared to the fits of the two-component model. ᭧ 1996 Academic MT where water-proton magnetization is detected.