Allocating energy in a first-to-n match

This paper models a decision where a player must allocate limitedenergy over a contest of uncertain length. The motivating exampleis a squash match where one of the players is not as fit asthe other. Should a player's energy be concentrated in the earlygames of the match? Should it be spread evenly over all possiblegames? Or should it be conserved for the end of the match? Wemodel this as a decision problem where, in each game, the decision-makermust determine how much energy to expend. We assume that thereare only a small number of discrete energy choices for eachgame and that the more energy the decision-maker expends, themore likely he is to win that game. We solve for the optimaldecision with dynamic programming. With only two possible energychoices for each game, we show that it does not matter how energyis expended. In the case where there are three or more energychoices, we show how to take advantage of the structure of theproblem to determine the optimal sequence of decisions. As forpractical advice, the model suggests that when the decision-makerfalls behind in a match, he ought to switch to a more conservativeapproach by dividing his remaining energy evenly among all thepossible remaining games. Received 14 May 2003. Revised 5 January 2004.     

Influence of surface energy and relative humidity on AFM nanomechanical contact stiffness

The effects of surface functionality and relative humidity (RH) on nanomechanical contact stiffness were investigated using atomic force acoustic microscopy (AFAM), a contact scanned-probe microscopy (SPM) technique. Self-assembled monolayers (SAMs) with controlled surface energy were studied systematically in a controlled-humidity chamber. AFAM amplitude images of a micropatterned, graded-surface-energy SAM sample revealed that image contrast depended on both ambient humidity and surface energy. Quantitative AFAM point measurements indicated that the contact stiffness remained roughly constant for the hydrophobic SAM but increased monotonically for the hydrophilic SAM. To correct for this unphysical behavior, a viscoelastic damping term representing capillary forces between the tip and the SAM was added to the data analysis model. The contact stiffness calculated with this revised model remained constant with RH, while the damping term increased strongly with RH for the hydrophilic SAM. The observed behavior is consistent with previous studies of surface energy and RH behavior using AFM pull-off forces. Our results show that surface and environmental conditions can influence accurate measurements of nanomechanical properties with SPM methods such as AFAM.     

Preparation and structure of fluorite-type (Sr,Y)Cl2.05

Anion excess colorless fluorite-type strontium-yttrium chloride has been prepared. Single crystals of the SrY compound exhibit a primitive cubic lattice with a = 6.967(1)Å. Two mutually exclusive structural models for solutions, neither of which is exact, are discussed. The first is a vacancy model in which the extra charge which results from substitution of Y³⁺ for Sr²⁺ is balanced by the simultaneous removal of a Sr²⁺Cl^? ion pair. This model requires individual ion sites to be partially occupied and nonequivalent and is strongly suggestive of vacancy ordering. Refinement in space group P1, with sites refined independenty, led to R = 0.1096. The second model describes the structure in terms of a Willis cluster of defects and includes both anion vacancies and interstitial anions. Full-matrix least squares refinement in space group Fm3m, with positions analogous to those in UO_2.12 and (Ca,Y)F_2.10, converged at R = 0.0633 for the 114 face-centered parent structure reflections whose |F|;² > σ(F²). This second model is discussed in relation to a probable true solution which involves longrange order.     

Effect of ionic strength on the self-assembly, morphology and gelation of pH responsive β-sheet tape-forming peptides

Molecular self-assembly is an intrinsic property of proteins central to their biological functionality. One important industrially interesting property is the ability to control and switch on and off self-assembly using a variety of external chemical and physical triggers. Model peptides have been developed with significantly reduced chemical and structural complexity compared to biological proteins. These are ideal systems for exposing the fundamental principles that drive protein-like self-assembly, as well as for establishing in a quantitative manner their structure-function relationship. We investigate simple, short model peptides that adopt a purely β-strand conformation, align in an antiparallel manner and self-assemble in one dimension in solution into long β-sheet nanotapes and higher order aggregates with no other conformation (i.e., helices, turns or random coils) present in the aggregates. These micrometre-long nanostructures gel in solutions at concentrations as low as 0.2% v/v. Their gel-fluid transition has been previously shown to be controlled by pH, temperature, or by mixing with complementary peptides. Here we show the dramatic effect of another chemical trigger, that of physiological-like salt concentration, on the self-assembly, morphology and gelation of a series of systematically designed charged self-assembling tape-forming peptides, each 11 amino acid residues in length, in the pH range of 2-14. This study provides a detailed understanding of the self-assembly of this class of peptides in aqueous solutions of biologically relevant pH and ionic strength. This insight has led to the development of injectable self-assembling peptide lubricants as potential therapeutics for the treatment of early stage knee joint osteoarthritis.     

Induced radioactivity of LDEF materials and structural components

We present an overview of the Long Duration Exposure Facility (LDEF) induced activation measurements. The LDEF, which was gravity-gradient stabilized, was exposed to the low Earth orbit (LEO) radiation environment over a 5.8 year period. Retrieved activation samples and structural components from the spacecraft were analyzed with low and ultra-low background HPGe gamma spectrometry at several national facilities. This allowed a very sensitive measurement of long-lived radionuclides produced by proton- and neutron-induced reactions in the time-dependent, non-isotropic LEO environment. A summary of major findings from this study is given that consists of directionally dependent activation, depth profiles, thermal neutron activation, and surface beryllium-7 deposition from the upper atmosphere. We also describe a database of these measurements that has been prepared for use in testing radiation environmental models and spacecraft design.     

Membrane proteins: adapting to life at the interface

A recent publication by Cravatt and colleagues which describes the structure of an integral membrane protein (FAAH) highlights that the structural differences between membrane proteins and soluble proteins are not as disparate as is sometimes believed.     

Development of an in situ fiber optic Raman system to monitor hydrothermal vents

The development of a field portable fiber optic Raman system modified from commercially available components that can operate remotely on battery power and withstand the corrosive environment of the hydrothermal vents is discussed. The Raman system is designed for continuous monitoring in the deep-sea environment. A 785 nm diode laser was used in conjunction with a sapphire ball fiber optic Raman probe, single board computer, and a CCD detector. Using the system at ambient conditions the detection limits of SO(4)(2-), CO(3)(2-) and NO(3)(-) were determined to be approximately 0.11, 0.36 and 0.12 g l(-1) respectively. Mimicking the cold conditions of the sea floor by placing the equipment in a refrigerator yielded slightly worse detection limits of approximately 0.16 g l(-1) for SO(4)(-2) and 0.20 g l(-1) for NO(3)(-). Addition of minerals commonly found in vent fluid plumes also decreased the detection limits to approximately 0.33 and 0.34 g l(-1) respectively for SO(4)(-2) and NO(3)(-).