Transition future directions

To incorporate the benefits of neutrality into in vitro protein evolution experiments, it is necessary to understand the interactions between neutral networks of different structures and functions. In Section IV.B.l, we describe the structure of neutral networks based on measures developed primarily for RNA secondary structure landscapes. In Section IV.B.2, we focus on mutational transitions between networks. The behavior of evolving populations on neutral networks is described in Section IV.B.3, with the intention of driving future directed evolution experiments. 

Current state-of-the-art in the understanding of these phenomena, as well as progress made in achieving empirical and quantitative descriptions of these combustion processes, are reviewed. The specific topics discussed are i) the maximum attainable turbulent flame speed in an obstacle array, ii) computer simulation of turbulent flame accelerations, iii) correlation between the detonation cell size and the dynamic parameters of fuel-air detonations, and iv) the transition from deflagration to detonation. Future directions in the investigation of these problems are also discussed. 

This chapter examines studies that employ transition metal containing imprinted polymers for selective transformations, recognition, and separation processes. This chapter also attempts to summarize the current state of the imprinting field and identifies possible future directions. 

Kuzyk has attempted to find upper limits for molecular hyperpolarizabilities. He argues that application of sum rules to the three level model enables one to prove that the two-level limit yields the absolute maximum susceptibihty, which depends only on the first excited state transition energy and the number of electrons. This conclusion has been tested by showing that a large set of experimental P and y values never exceed these limits. The conclusions are very far reaching and if confirmed will have important consequences for the future direction of research in this field. 

Although essentially all studies to date using PRISM and the molecular closures have involved macromolecules, it is conceivable such closures may be of value even for small or intermediate-sized flexible and/or rigid molecules. A careful documentation of the accuracy of the new molecular closures as a broad function of thermodynamic state and molecular fluid type remains an important future direction. In addition, recent interesting alternative approaches to liquid theory for polymer mixtures with attractions have been developed within the general PRISM framework by Melenkevitz and Curro based on the optimized RPA(ORPA) approach, and Donley et. ah " based on density functional theory and also from a field-theoretic perspective by Chandler. Application of these approaches to treat the effect of attractive interactions on fluid structure and phase transitions remains to be worked out. 

Integrating block copolymer-directed nanostmcture control of hybrid materials with other stmcture formation processes is one future direction that this research will most likely take. A more fundamental direction is the transition from AB or ABA diblock copolymers to ABC terblock copolymers or even higher-order multiblock copolymers as stmcture-directing agents for inorganic materials. The introduction of a third block in ABC terblock copolymer self-assembly leads to a... 

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