The magnetic field dependence of the water-proton spin-lattice relaxation rate (1/T 1 ) in tissues results from magnetic coupling to the protons of the rotationally immobilized components of the tissue. As a consequence, the magnetic field dependence of the water-proton (1/T 1 ) is a scaled report of the field dependence of the (1/T 1 ) rate of the solid components of the tissue. The proton spin-lattice relaxation rate may be represented generally as a power law: 1/T 1 ؍ A -b , where b is usually found to be in the range of 0.5-0.8. We have shown that this power law may arise naturally from localized structural fluctuations along the backbone in biopolymers that modulate the proton dipoledipole couplings. The protons in a protein form a spin communication network described by a fractal dimension that is less than the Euclidean dimension. The model proposed accounts quantitatively for the proton spin-lattice relaxation rates measured in immobilized protein systems at different water contents, and provides a fundamental basis for understanding the parametric dependence of proton spin-lattice relaxation rates in dynamically heterogeneous systems, such as tissues. The value of the water-proton spin-lattice relaxation time, T 1 , is often an important determinant of magnetic image contrast. Therefore, understanding the magnetic field dependence of T 1 is central to a fundamental understanding of the factors that control the magnetic resonance (MR) image appearance as well as the information content. It is well known that the magnetic field dependence of the water-proton T 1 is dominated by magnetic coupling to the protons of the solid components of the tissue. As summarized in Fig. 1, the observed magnetic field dependence of 1/T 1 was shown to be a scaled representation of the magnetic relaxation dispersion of the protons in the rotationally immobilized spin components of the tissue (1,2). The magnetic coupling is carried by chemical-exchange events that include a whole water molecule exchange between specific binding sites, and proton exchange with protein functions such as amines, amides, and alcohols. Because proton-exchange is generally much slower than H 2 O exchange, the coupling is usually dominated by water molecule exchange events. In the bound environment of these unique water molecules, the magnetization transfer rate is limited, essentially by the value of T 2 , which is of the order of 10 s in the bound and immobilized environment (2-4). However, the origin of the magnetic field dependence of 1/T 1 in the rotationally immobilized proton spin system of a protein, for example, is not quantitatively understood. Kimmich and coworkers (13) have suggested that the field dependence derives from the backbone fluctuations. Our recent theoretical work (5) provides a quantitative explanation for the magnetic field dependence of 1/T 1 for the solid component spins, which, in turn, provides an explanation for the magnetic field dependence of the waterproton 1/T 1 in tissues. Although a variety of macromolecular as...