Measurable,nonleavable gambling problems

The optimal return function for a Borel measurable gambling problem with a bounded utility function was shown by Strauch (1967) to be universally measurable when the problem is leavable in the sense that the gambler may terminate play at any time. The same is shown here for the more general class of nonleavable problems. Research supported by National Science Foundation Grant DMS-8801085.     

Elongated conformers of charge states +11 to +15 of bovine ubiquitin studied using ESI-FAIMS-MS

Recent advancements in high-field asymmetric waveform ion mobility spectrometry (FAIMS) have led to significant improvements in the application of this technology to the study of protein conformers. Compared with previous work, the maximum value of the separation voltage (i.e., the dispersion voltage) has increased, thereby enabling multiple, elongated conformers of individual charge states of bovine ubiquitin to be separated in the gas phase (e.g., four conformers of each of the +11 and +12 charge states were separated). The use of a carrier gas mixture of 40% nitrogen and 60% helium changed the separation selectivity compared with pure nitrogen and enhanced the signal intensity, especially for the +14 and +15 charge states (the latter was not detected in a nitrogen carrier gas). Conformer cross sections were determined using the FAIMS/energy-loss method and found to be similar within a given charge state. The cross sections for conformers of charge states +13, + 14, and +15 plateau at about 2000 A2 suggesting that the structure of bovine ubiquitin is essentially unfolded after the addition of the 13th proton.     

Investigation of bovine ubiquitin conformers separated by high-field asymmetric waveform ion mobility spectrometry: Cross section measurements using energy-loss experiments with a triple quadrupole mass spectrometer

High-field asymmetric waveform ion mobility spectrometry (FAIMS) was used to separate gas-phase conformers of bovine ubiquitin produced by electrospray ionization. These conformers were sampled by a triple quadrupole mass spectrometer where energy-loss experiments, following the work of Douglas and co-workers, were used to determine their cross sections. The measured cross sections for some conformers were readily altered by the voltages applied to the interface ion optics, therefore very gentle mass spectrometer interface conditions were required to preserve gas-phase conformers separated by FAIMS. Cross sections for 19 conformers (charge states +5 through +13) were measured. Two conformers for the +12 charge state, which were readily separated in FAIMS, were found to have similar cross sections. Based on a method to calibrate the collision gas thickness, the cross sections measured using the FAIMS/energy-loss method were compared with literature values determined using drift tube ion mobility spectrometry. The comparison illustrated that the conformers of bovine ubiquitin that were identified using drift tube ion mobility spectrometry were also observed using the FAIMS device.     

The development and assessment of high‐throughput mass spectrometry‐based methods for the quantification of a nanoparticle drug delivery agent in cellular lysate

The safe use of lipid‐based drug delivery agents requires fast and sensitive qualitative and quantitative assessment of their cellular interactions. Many mass spectrometry (MS) based analytical platforms can achieve such task with varying capabilities. Therefore, four novel high‐throughput MS‐based quantitative methods were evaluated for the analysis of a small organic gene delivery agent: N,N‐bis(dimethylhexadecyl)‐1,3‐propane‐diammonium dibromide (G16‐3). Analysis utilized MS instruments that detect analytes using low‐resolution tandem MS (MS/MS) analysis (i.e. QTRAP or linear ion trap in this work) or high‐resolution MS analysis (i.e. time of flight (ToF) or Orbitrap). Our results indicate that the validated fast chromatography (FC)‐QTRAP‐MS/MS, FC‐ LTQ‐Orbitrap‐MS, desorption electrospray ionization‐collision‐induced dissociation (CID)‐MS/MS and matrix assisted laser desorption ionization‐ToF/ToF‐MS MS methods were superior in the area of method development and sample analysis time to a previously developed liquid chromatography (LC)‐CID‐MS/MS. To our knowledge, this is the first evaluation of the abilities of five MS‐based quantitative methods that target a single pharmaceutical analyte. Our findings indicate that, in comparison to conventional LC‐CID‐MS/MS, the new MS‐based methods resulted in a (1) substantial reduction in the analysis time, (2) reduction in the time required for method development and (3) production of either superior or comparable quantitative data. The four new high‐throughput MS methods, therefore, were faster, more efficient and less expensive than a conventional LC‐CID‐MS/MS for the quantification of the G16‐3 analyte within tissue culture. When applied to cellular lysate, no significant change in the concentration of G16‐3 gemini surfactant within PAM212 cells was observed between 5 and 53 h, suggesting the absence of any metabolism/excretion from PAM212 cells. Copyright © 2014 John Wiley & Sons, Ltd.     

Refractive index measurements by probe-beam deflection

Two deflection techniques for the measurement of the dispersive properties of an optical medium have been implemented. Prismatic deflection is used to measure the dispersion of a medium exhibiting Electromagnetically Induced Transparency (EIT) with the cascade system in ⁸⁵Rb and ⁸⁷Rb. In addition, the dispersion associated with a saturated absorption and hyperfine pumping spectrum is measured by deflection due to a spatial inhomogeneity of the refractive index induced by an expanded Gaussian-profile pump beam.Received: 19 December 2003, Published online: 20 April 2004PACS: 39.30. + w Spectroscopic techniques - 33.55.Ad Optical activity, optical rotation; circular dichroismG. Jundt: Present address: Institute of Quantum Electronics, Department of Physics, ETH Zürich, Hönggerberg 8093, Switzerland     

Non-linear Sagnac interferometry for pump-probe dispersion spectroscopy

We explore pump-probe non-linear Sagnac interferometry as a tool to measure the dispersive properties of a medium. We introduce the background theory, and show experimental spectra obtained on the D₂ transition with ⁸⁵Rb and ⁸⁷Rb. The measured dispersion spectra are in excellent agreement with the Kramers-Kronig relations. In addition, as both beams traverse identical optical paths, Sagnac interferometry is very robust against mechanical vibrationReceived: 5 June 2003, Published online: 16 September 2003PACS: 39.30. + w Spectroscopic techniques - 33.55.Ad Optical activity, optical rotation; circular dichroismG. Jundt: Present address: Institute of Quantum Electronics, Department of Physics, ETH Zürich, Hönggerberg 8093, Switzerland.