Quantitative measurement of water content using MRI, e.g., in the human brain, is important for the study and diagnosis of pathologies associated with an altered hydration state, such as stroke, multiple sclerosis, and cerebral tumors and metastases (1). However, protocols for measuring water content have not yet found widespread use in clinical routine or scientific studies, either because of the long measurement times required or because of the low precision or accuracy inherent to the faster methods described thus far (for an overview of quantitative water content mapping see, e.g., Ref.
2).A new flexible method for quantitatively mapping water content that is based on the accurate and precise acquisition of T 2 * and T 1 relaxation time curves with the quantitative T 2 * image (QUTE) (3,4) and T 1 mapping with partial inversion recovery (TAPIR) (5-8) sequences was recently introduced (4). By placing a reference probe of 100% H 2 O in the field-of-view (FOV) and correcting for transmitter and receiver imperfections, temperature differences between the reference probe and the object to be imaged, as well as saturation and decay effects, one can quantify water content with a precision of Ͼ98% (4). The method was successfully applied to the study of age-and gender-specific variations of cerebral water content in a cohort of 44 healthy subjects (9). In addition, the presence of a low-grade edema was demonstrated for the first time unambiguously and quantitatively in patients with hepatic encephalopathy (10).The flexibility and complexity of the new approach requires a careful optimization of both T 2 * and T 1 acquisition schemes. However, even though both measurements are independent and therefore apparently are not correlated, this simple view does not hold for the new method, in which the effective flip angle is determined based on the information acquired from both acquisitions (4). In addition, the required precision of T 1 mapping to achieve a given precision of the water content measurement depends on the actual parameters chosen for T 2 * mapping and vice versa. Therefore, the two apparently independent experiments become correlated when their influence on the precision of the quantitative water content measurement is evaluated. This necessitates the use of a combined optimization scheme for both acquisitions.The general methodology for maximizing the precision (i.e., minimizing the random error) of quantitative water content maps with regard to the selection of sequence parameters is presented in this article together with an experimental validation of the theoretical results obtained.
THEORY
Quantitative Water Content W MRThe estimation of the quantitative water content, W MR , is extensively described in Ref. 4. However, for the sake of completeness, the basic principles and all relevant equations in the context of the current work are briefly described below. Water content mapping is based on extraction of the proton density (PD) from T 2 * relaxation time mapping with the multiecho gradient-echo sequ...