Opening book details…
Can I read Anomalous NMR relaxation in cartilage matrix components and native cartilage: Fractional-order models on EtoBox?
Anomalous NMR relaxation in cartilage matrix components and native cartilage: Fractional-order models by Richard L. Magin; Weiguo Li; M. Pilar Velasco; Juan Trujillo; David A. Reiter; Ashley Morgenstern; Richard G. Spencer is a Chemistry article available to read on EtoBox.
What is Anomalous NMR relaxation in cartilage matrix components and native cartilage: Fractional-order models about?
We present a fractional-order extension of the Bloch equations to describe anomalous NMR relaxation phenomena (T 1 and T 2 ). The model has solutions in the form of Mittag-Leffler and stretched exponential functions that generalize conventional exponential relaxation. Such functions have been shown by others to be useful for describing dielectric and viscoelastic relaxation in complex, heterogeneous materials. Here, we apply these fractional-order T 1 and T 2 relaxation models to experiments performed at 9.4 and 11.7 Tesla on type I collagen gels, chondroitin sulfate mixtures, and to bovine nasal cartilage (BNC), a largely isotropic and homogeneous form of cartilage. The results show that the fractional-order analysis captures important features of NMR relaxation that are typically described by multi-exponential decay models. We find that the T 2 relaxation of BNC can be described in a unique way by a single fractionalorder parameter (a), in contrast to the lack of uniqueness of multi-exponential fits in the realistic setting of a finite signal-to-noise ratio. No anomalous behavior of T 1 was observed in BNC. In the singlecomponent gels, for T 2 measurements, increasing the concent
Who reads Anomalous NMR relaxation in cartilage matrix components and native cartilage: Fractional-order models?
It is typically read by researchers, students, and practitioners in Chemistry.
- Author
- Richard L. Magin; Weiguo Li; M. Pilar Velasco; Juan Trujillo; David A. Reiter; Ashley Morgenstern; Richard G. Spencer
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 1090-7807)
- Published
- 2011
- Language
- EN
- Field
- Chemistry (Physical Sciences)