Selective excitation removes the effect such nuclei since their m

Selective excitation removes the effect such nuclei since their magnetization does not get encoded. However, the effect of nuclei subject of double exchange events is retained; that is, nuclei can be initially Palbociclib manufacturer encoded, get exchanged to the non-encoded site, experience site-selective displacement there and exchange back to the encoded site thereby affecting the diffusional signal decay. In the experiment proposed here, we remove the effect of such processes because we continually suppress magnetization at the “bound” pool. The effect of double exchange events is also suppressed if, as in experiments in protein solutions with selective excitation [41], the non-encoded pool is

much larger than the encoded one and thereby the probability of return is low. For our present system, this is clearly not the case. The efficiency of the exchange suppression on signal attenuation can be

estimated by simulating signal attenuations with one or more filters embedded and comparing those to the attenuations obtained in the classical Stejskal–Tanner expression. For the simulations represented in Fig. 3 and Fig. 4, we used parameters obtained for our agarose/water solution (see below and see Table 1) with Nutlin-3a solubility dmso a diffusion coefficient for water set to Df   = 3 × 10−11 m2 s−1 (and Db   = 0; changing to other values do not significantly change the character of the result). Keeping constant the diffusion time Δ   and increasing the number of T  2-filters (i.e., decreasing τex  ), Atezolizumab mouse the signal attenuation for the proposed pulse sequence is progressively evolving to an attenuation equivalent to obtained from the classical diffusion equation without the presence of exchange ( Fig. 3a). Note that Fig. 3 provide decays with relative intensities and does not highlight the intensity loss given by the e-kfΔe-kfΔ factor in Eq. (10). In Fig. 3b and c, we simulated signal attenuation

for τex ≈ 2/kb and τex ≈ 1/kb, respectively. Clearly, for the τex ≈ 1/kb case, the signal attenuation approaches that without exchange except for the longest diffusion times. Hence, under those conditions the diffusion coefficient extracted by the simple Stejskal–Tanner expression in Eq. (1) should provide accurate Df values. This particular point is further illustrated in Fig. 4, where the apparent diffusion coefficients were extracted by fitting the classical Stejskal–Tanner expression in Eq. (1) to the theoretical signal attenuation curves given by Eq. (8b). For Δ = 20 ms and qmax = 4 × 105 m−1 and with material parameters set as for Fig. 3, the obtained decays were clearly multi-exponential for long τex (>4 ms) or small n (<4), while with more intensive filtering the signal attenuation showed no significant deviation from mono-exponentiality.

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