Nuclear spin singlet states as magnetic on/off probes in self-assembling systems

Self-assembling processes occur in a variety of compounds such as peptides, proteins and DNA. These processes have been linked to pathologies and have as well been exploited for designing responsive contrast agents for disease detection. Novel methods to investigate and detect self-assembly therefore hold promise to obtain more insights into disease progression or open pathways to the design of novel self-assembling materials. In this article we are introducing nuclear singlet states to probe self-assembly in the dipeptide isoleucine–phenylalanine (IF) as a thermoresponsive on/off switch for nuclear magnetic resonance (NMR). We have investigated the relaxation and singlet state properties of the b-protons of phenylalanine in the IF dipeptide in aqueous solutions. At IF concentrations of 2 wt% and above 308 K, a long lived nuclear singlet state, as compared to the longitudinal relaxation, was observed. At 308 K the dipeptide starts forming a gel and no singlet state is accessible at lower temperatures. Upon heating, the gel disassembles and an isotropic liquid forms making the singlet state accessible again. This demonstrates the thermoresponsive on–off character of the nuclear spin singlet state in the IF dipeptide.


Introduction
In a self-assembly process, various individual components arrange themselves into an ordered structure. 1 Examples of materials that self-assemble include DNA, peptides, proteins, nanocrystals and nanoparticles.  Triggered self-assembly of nanostructures or disassembly of these materials has been investigated in recent years for the design of magnetic resonance imaging (MRI) contrast agents. [18][19][20][21][22][23][24][25][26][27] In particular, labelling selfassembling molecules with 19 F nuclei has moved into the focus. [23][24][25][26][27] Thereby, two concepts have been pursued. 26,27 Firstly, hydrophilic molecules that have a reactive species are attached to a hydrophobic group containing fluorine and selfassemble into a nanostructure with the fluorine nuclei in the core. Interaction of the reactive group with e.g. an enzyme leads to disassembly of the nanostructure. Secondly, the reactive group in the described molecules is blocked but gets revealed and regains its reactivity upon a stimulus, subsequently leading to a self-assembled structure. Both processes can be observed via 19 F-NMR. 26,27 If the molecule is in its disassembled state, short correlation times and isotropic molecular motion lead to a narrow observable peak in the 19 F-NMR spectrum. Once selfassembled, the 19 F-nuclei (in the core of the particle) are restricted in their motion and experience increased dipolar interactions and chemical shift anisotropy (CSA), leading to a broadening of the observable peak until it is not detectable anymore. In other words, the spin-spin relaxation time T 2 becomes shorter in the selfassembled structure to the point that the NMR signal is not detectable anymore, hence resulting in an on/off switch depending on the assembly state. As an alternative that does not require labelling with 19 F, we have explored on/off-switches for proton nuclear singlet states. Singlet states are nuclear spin states with effective spin 0 that can be formed between a pair of spin 1/2 nuclei which are dynamically isolated from the rest of the spin system.  Interestingly, singlet states are immune to the direct dipole-dipole relaxation between the constituent spins in fast and isotropically tumbling molecules, which is often the main relaxation mechanism for the longitudinal and transverse magnetization modes. As such, singlet states are often characterized by singlet-triplet equilibration times T s that exceed the spin-lattice relaxation times T 1 . Although the longest singlet lifetimes (over 1 hour), 44 were found between spin pairs close to magnetic equivalence in strongly coupled systems, singlet states can be generated for systems in which the nuclei are far from magnetic equivalence and weakly coupled, 28 for example in a-protons of glycine in small peptides and b-protons in amino acids and peptides. 33,34,38 This observation has e.g. been explored in the development of a detection method for binding affinity, which has proven to be more sensitive than T 1 -based methods. 38 In this work we have explored the feasibility of utilizing nuclear singlet states as on/off switches and demonstrate that such a behaviour can be observed in b-protons of the dipeptide isoleucine-phenylalanine (IF), which is shown in Fig. 1 together with the respective NMR spectrum of the two protons of interest. For investigating the nuclear singlet state in H 2 O, we used a singlet filter sequence with water suppression. The sequence can be applied to weakly coupled spin systems (as it is the case here) and includes an extension of the previously published T 00 -filter. 61 We show that the dipeptide acts as a thermoresponsive switch for singlet states, which can be populated (turned on) at a temperature of 308 K and are not accessible below this temperature (turned off). This is due to the fact that below the critical temperature a hydrogel 62 is formed in which the correlation time is significantly increased. Our investigations on this molecule and its behaviour are presented in the following.

Experimental section
The dipeptide isoleucine-phenylalanine was purchased from Bachem (product number 4001668.0001) and used without further purification. Two degassed NMR samples were prepared with either 0.5 wt% or 2 wt% dipeptide with respect to a mixture of 95% deionized H 2 O and 5% D 2 O. NMR experiments were performed on a AV600 HDIII Bruker system with variable temperature setup at 600 MHz proton frequency (corresponds to B 0 = 14.1 T). To estimate the longitudinal relaxation times T 1 , an inversion recovery experiment was performed at different temperatures from 323 K to 283 K. T S was measured at the same temperatures with the recently introduced APSOC sequence including an extra PE-WATERGATE 63 block for water suppression in the 1 H NMR spectrum. Furthermore, we have added a singlet filter (T 00 ) that can be utilized for weakly coupled spin systems. The whole sequence is shown in Fig. 2 with the respective timings. Compared to the T 00 filter reported earlier, 61 three 180 degree pulses have been added in order to remove the effect of offset evolution, and timings t r close to t* = [J 2 + Dn 2 ] À0.5 , which corresponds to a full rotation in the zero-quantum space, have been used. Here J and Dn represent the J-coupling and the chemical shift difference between the two nuclei measured in Hz, respectively. Further details of the T 00 filter will be published elsewhere. Spinspin relaxation times T 2 were measured utilizing a CPMG sequence for both samples. CPMG echo times were 0.4 ms for the 0.5 wt% sample and for the 2 wt% sample above 308 K and 0.2 ms for the 2 wt% sample below 308 K.

Evaluation of the singlet filter
For the investigation of nuclear singlet states in a weakly coupled spin system (as it is the case in the IF peptide), we introduce a filter that is offset independent. The rational for the development is based on the idea that typically proton background signals occur in biological environments. Regarding the background signals, water is the most dominant, which is depicted in Fig. 3A. The concentration of water (E55 M) often exceeds physiological metabolite concentrations by more than 10 000-fold. 64 This may lead to masking of the desired signal to be observed. In order to increase the detectability from lowconcentration component, water suppression techniques have been introduced for in vitro an in vivo experiments. 63,[65][66][67] To demonstrate the effect of a water suppression sequence on the investigated system we have performed a PE-WATERGATE experiment, that reduces the water signal by more than 1000-fold and the result is shown in Fig. 3B. 63 From the spectrum it becomes evident that the water signal has significantly been suppressed but other 1 H signals from the dipeptide are still observable. Under physiological conditions in e.g. cells or in vivo many more 1 H signals may be present that may mask the signal of interest. In order to remove them we introduced a T 00 -filter for weakly coupled spin systems (see Fig. 2) that, in combination with WATERGATE, suppresses other proton signals than the desired one and also manages to suppress the water signal even further. The result is shown in Fig. 3C. This follows an idea presented in ref. 41 with the advantage that the T 00 -filter presented here is offset independent and may be combined with offset independent singlet NMR sequences such as the M2S-S2M sequence for imaging purposes. 32

Investigation of the dipeptide isoleucine-phenylalanine (IF)
One of the IF properties includes the reversible gelling upon temperature changes 62 above a critical concentration. If an IF sample with 2 wt% in water is investigated the peptide starts   . 2 Schematic of the APSOC sequence used in this work. The filled and empty rectangles represent p/2 and p pulses, respectively. The sequence consists of a ramped RF passages with duration of p R = 200 ms and maximum RF field corresponding to a nutation frequency of 600 Hz which converts z-magnetization into the singlet state. The offset of the singlet excitation and reconversion ramps was AE23 Hz with respect to the resonances of the beta protons of the phenylalanine residue. The singlet sustaining block consists of a CW RF field with nutation frequency 1 kHz in order to quench chemical shifts induced oscillations in the singlet state which is turned on for the duration d SS . The T 00 filter greatly reduces any signal orthogonal to the singlet state before it is converted back to z-magnetization by the ramped down RF passage. The acquisition block consists of a hard p/2 pulse, with nutation frequency of 25 kHz, followed by a PE-WATERGATE. 63 In the T 00 block, the duration t r of the spin echoes were 8 ms, the durations of the gradients d 1 = d 2 = d 3 = 2 ms and the gradients were {G 1 , G 2 , G 3 } = {2, 27.5, 7} in G cm À1 .
forming a gel at 303 K. This process can be monitored with NMR by observing a line broadening that occurs around this temperature. 62 Fig. 4(A) shows the spectra at 313 K at which the dipeptide is in its monomeric form with isotropic movement leading to narrow lines and after the gel has formed at 293 K in 4B with broadened lines. In case of a 0.5 wt% sample, no gelification occurs and the dipeptides keep up the isotropic movement.
We have investigated the longitudinal and transverse 1 H relaxation properties as well as the singlet lifetime T S as a function of temperature in a H 2 O : D 2 O mixture (95% : 5%) for the 0.5 wt% and 2 wt% dipeptide. The results are displayed in Fig. 5. For the 0.5 wt% sample, T S remains about three to four times longer than T 1 over a temperature range from 313 K to 283 K. Considering that relaxation of protons in peptides is usually dominated by intramolecular dipolar relaxation, we used the 1 H transverse relaxation times to estimate a correlation time t c(DD) 68 according to the following formula previously used for the investigation in stretched hydrogels 69 whereby o 0 represents the angular Larmor frequency: The equation was shown to be valid in regions where t c(DD) o 10 ns and is applicable if intramolecular dipolar interactions can be assumed the most dominant relaxation mechanism. 69 At 313 K we estimate a correlation time of 92 ps and at 303 K of 94 ps for the 0.5 wt% sample in which the molecules undergoes isotropic motion at all times.
Upon investigation of the 2 wt% dipeptide at the same temperatures, it becomes evident that the relaxation times as well as the singlet lifetime behave similarly until the transition into a gel occurs. At 308 K we observed an intermediate state in which the singlet state can be still accessed is however almost on the order of T 1 (T 1 = 520 ms and T S = 700 ms). Below 303 K the singlet state is not accessible anymore. Investigations of the transverse relaxation time T 2 show a drop from 400 ms at 313 K to 5.4 ms at 303 K. T 1 is reduced from 570 ms to 250 ms. Using eqn (1) we estimate a t c(DD) of 132 ps at 313 K and 2.04 ns at 303 K. In the gel case, the molecular motion does not fall into the extreme narrowing limit anymore (o 0 t c { 1), for which most of the relaxation properties of the singlet states have been investigated so far. The utilized equation however was shown to be applicable for a gel in the past and supports the measured T S data. 69 As T S is inverse proportional to the correlation time, 70 we regard the increase in correlation time as the main reason   for the reduction in the time for singlet-triplet equilibration. The ratio of the correlation times of the liquid state to the gel state amounts to 15.4. If T S is reduced by that factor in the gel we expect a drop from the measured T S (313 K) = 2470 ms to T S (303 K) = 160 ms. Since the sequence timings (two 200 ms APSOC ramps, sustaining period and filter) exceed three times the estimated T S at 303 K, relaxation effects may impede the effective observation of the singlet state.
The observed behaviour in the gels is completely reversible i.e. the detectable singlet-states can be switched ''on'' or ''off'' by controlling the temperature. The accessibility of the singlet state after its back conversion from the gel holds therefore promise to develop stimuli responsive contrast agents with an on/off switch. This mechanism is not based on line broadening effects but utilizes the storage of magnetization in proton singlet states in combination with an efficient filter to suppress background signals.

Conclusions
In conclusion, we have introduced an extension of the T 00 filter that can be utilized for weakly coupled spin systems. In combination with water suppression techniques, proton signals other than the desired ones are effectively removed in the context of singlet NMR. Additionally, we have demonstrated the feasibility of a stimuli-responsive on/off switch for nuclear singlet states based on a thermo-responsive gel formed from the isoleucine-phenylalanine dipeptide. Overall, our investigations demonstrate the possibility of switchable contrast agents that utilize nuclear singlet states of protons without the need of isotopic labelling.

Conflicts of interest
The authors declare no conflict of interest.