Weakly linked binary mixtures of F = 1 87Rb Bose-Einstein condensates

We present a study of binary mixtures of Bose-Einstein condensates confined in a double-well potential within the framework of the mean field Gross-Pitaevskii (GP) equation. We re-examine both the single component and the binary mixture cases for such a potential, and we investigate what are the situations in which a simpler two-mode approach leads to an accurate description of their dynamics. We also estimate the validity of the most usual dimensionality reductions used to solve the GP equations. To this end, we compare both the semi-analytical two-mode approaches and the numerical simulations of the one-dimensional (1D) reductions with the full 3D numerical solutions of the GP equation. Our analysis provides a guide to clarify the validity of several simplified models that describe mean-field nonlinear dynamics, using an experimentally feasible binary mixture of an F = 1 spinor condensate with two of its Zeeman manifolds populated, m = ±1.

Performance Analysis of Two Quantum Reaction Dynamics Codes: Time-Dependent and Time-Independent Strategies

The computer simulation of reaction dynamics has nowadays reached a remarkable degree of accuracy. Triatomic elementary reactions are rigorously studied with great detail on a straightforward basis using a considerable variety of Quantum Dynamics computational tools available to the scientific community. In our contribution we compare the performance of two quantum scattering codes in the computation of reaction cross sections of a triatomic benchmark reaction such as the gas phase reaction Ne + H2+ %12. NeH++ H. The computational codes are selected as representative of time-dependent (Real Wave Packet [ ]) and time-independent (ABC [ ]) methodologies. The main conclusion to be drawn from our study is that both strategies are, to a great extent, not competing but rather complementary. While time-dependent calculations advantages with respect to the energy range that can be covered in a single simulation, time-independent approaches offer much more detailed information from each single energy calculation. Further details such as the calculation of reactivity at very low collision energies or the computational effort related to account for the Coriolis couplings are analyzed in this paper.

Synthesis of F-18-labeled cyclic-[RGDfK] peptides for PET imaging of angiogenesis

Objectives: αvβ3 integrin is of great interest for tumor targeting because of its high concentration in tumor tissue. It recognizes ligands containing an arginine-glycine-aspartate motif (RGD), and a number of RGD-containing peptides have been developed as PET imaging probes of angiogenesis. We synthesized a series of 18F-labeled cyclic-[RGDfK] peptides for in vivo imaging of αvβ3 expression. Our F-18 labeled prosthetic groups were attached to the αvβ3 ligand via click chemistry, and the reaction conditions (time, temperature, solvent and pH) were optimized by using single modified amino acids.Methods: Seven amino acids were selected considering their different biochemical properties (polarity, total charge, presence of aromatic ring and heteroatom). All the amino acids were modified by the introduction of azido moiety to allow the interaction with alkyne prosthetic groups. Once the conditions of the click chemistry were optimized, the prosthetic groups were also coupled with the cyclic-[RGDfK] exhibiting an azido function. 4- Trimethylammonium-nitrobenzene triflate was used as precursor for the radiosynthesis of the prosthetic groups. The fluorination was carried out with K2CO3/K2.2.2 in CH3CN at 95 oC, and the nitro group was reduced with NaBH4 and Pd/C in MeOH. The resulting 18F-aniline was subsequently coupled to alkynoic acids to yield the final F-18 labeled prosthetic groups. Finally, the prosthetic groups were attached to the peptides via Huisgen's cycloaddition. Figure 1. F-18 labeled αvβ3 ligand.Results: Our new prosthetic groups were successfully clicked to the modified amino acids and to the cyclic- [RGDfK], and the reactions were almost quantitative within 1 to 3.5 h. The pH of the reaction did not influence the reaction kinetic and yield. The four steps of the F-18 labeling were completely automated providing the final products in quantities and yields practical for PET imaging. IC50 values of our ligands for αvβ3 and α5β1 demonstrated a high selectivity of our compounds towards αvβ3, as well as the negligible effect of the prosthetic groups on the affinity of the ligand to its receptor, as confirmed by the prediction of the molecular modeling.Conclusions: We have successfully synthesized novel F-18 labeled prosthetic groups, as well as novel PET imaging probes of αvβ3 expression. The reaction conditions of the Huisgen's cycloaddition were optimized with selected modified amino acids, and subsequently transposed to the cyclic-[RGDfK] peptide. IC50 data demonstrate that our 18F-labeled ligands were selective for αvβ3. In vivo microPET/CT studies in tumor bearing mice are underway.