Utilizing a Water-Soluble Cryptophane with Fast Xenon Exchange Rates for Picomolar Sensitivity NMR Measurements

Abstract

Hyperpolarized <sup>129</sup>Xe chemical exchange saturation transfer (<sup>129</sup>Xe Hyper-CEST) NMR is a powerful technique for the ultrasensitive, indirect detection of Xe host molecules (e.g., cryptophane-A). Irradiation at the appropriate Xe-cryptophane resonant radio frequency results in relaxation of the bound hyperpolarized <sup>129</sup>Xe and rapid accumulation of depolarized <sup>129</sup>Xe in bulk solution. The cryptophane effectively “catalyzes” this process by providing a unique molecular environment for spin depolarization to occur, while allowing xenon exchange with the bulk solution during the hyperpolarized lifetime (<i>T</i><sub>1</sub> ≈ 1 min). Following this scheme, a triacetic acid cryptophane-A derivative (TAAC) was indirectly detected at 1.4 picomolar concentration at 320 K in aqueous solution, which is the record for a single-unit xenon host. To investigate this sensitivity enhancement, the xenon binding kinetics of TAAC in water was studied by NMR exchange lifetime measurement. At 297 K, <i>k</i><sub>on</sub> ≈ 1.5 × 10<sup>6</sup> M<sup>–1</sup>s<sup>–1</sup> and <i>k</i><sub>off</sub> = 45 s<sup>–1</sup>, which represent the fastest Xe association and dissociation rates measured for a high-affinity, water-soluble xenon host molecule near rt. NMR line width measurements provided similar exchange rates at rt, which we assign to solvent-Xe exchange in TAAC. At 320 K, <i>k</i><sub>off</sub> was estimated to be 1.1 × 10<sup>3</sup> s<sup>–1</sup>. In Hyper-CEST NMR experiments, the rate of <sup>129</sup>Xe depolarization achieved by 14 pM TAAC in the presence of radio frequency (RF) pulses was calculated to be 0.17 μM·s<sup>–1</sup>. On a per cryptophane basis, this equates to 1.2 × 10<sup>4</sup> <sup>129</sup>Xe atoms s<sup>–1</sup> (or 4.6 × 10<sup>4</sup> Xe atoms s<sup>–1</sup>, all Xe isotopes), which is more than an order of magnitude faster than <i>k</i><sub>off</sub>, the directly measurable Xe-TAAC exchange rate. This compels us to consider multiple Xe exchange processes for cryptophane-mediated bulk <sup>129</sup>Xe depolarization, which provide at least 10<sup>7</sup>-fold sensitivity enhancements over directly detected hyperpolarized <sup>129</sup>Xe NMR signals

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