Majoritarian Contests with Asymmetric Battlefields: An Experiment

We investigate a version of the classic Colonel Blotto game in which individual battles may have different values. Two players allocate a fixed budget across battlefields and each battlefield is won by the player who allocates the most to that battlefield. The winner of the game is the player who wins the battlefields with highest total value. We focus on the case where there is one large and several small battlefields, such that a player wins if he wins the large and any one small battlefield, or all the small battlefields. We compute the mixed strategy equilibrium for these games and compare this with choices from a laboratory experiment. The equilibrium predicts that the large battlefield receives more than a proportional share of the resources of the players, and that most of the time resources should be spread over more battlefields than are needed to win the game. We find support for the main qualitative features of the equilibrium. In particular, strategies that spread resources widely are played frequently, and the large battlefield receives more than a proportional share in the treatment where the asymmetry between battlefields is stronger.

Activación de aldehídos a,b-insaturados mediante aminocatálisis en procesos enantioselectivos. Cicloadiciones (3+2) y reacciones en cascada Michael/Henry

During the research that it is summarized in the present memory, the activation of enals via iminium ion catalysis in different transformations has been studied. Firstly, a 1,3-dipolar cycloaddition between stable azomethine ylides and a,b-unsaturated aldehydes catalyzed by a chiral imidazolidinone derivative has been optimized. Employing this methodology we have synthesized a large range of densely substituted pyrroloisoquinolines and pyrrolophthalazines with good yields and high values of diastereo- and enantioselectivity. Moreover, a mechanistic study has been carried out based on DFT calculations and experimental data which have allowed us to propose that the (3+2) cycloaddition reaction follows a sequential Michael addition/Mannich cyclization pathway. The formation of the iminium ion as a result of the condensation between the a,b-unsaturated aldehyde and the catalyst plays an essential role, regarding both reactivity and stereoselectivity. On the other hand we have developed a methodology to carry out a cascade Michael/Henry reaction followed by a sequential dehydration. Starting from simple substrates (2-nitromethylacrilates and a,b-unsaturated aldehydes) and employing a prolinol-derivative catalyst a series of quiral nitrocyclohexadienes have been synthesized.

Olefin cyclopropanation and carbon-hydrogen amination via carbene and nitrene transfers catalyzed by engineered cytochrome P450 enzymes

Synthetic biology promises to transform organic synthesis by enabling artificial catalysis in living cells. I start by reviewing the state of the art in this young field and recognizing that new approaches are required for designing enzymes that catalyze nonnatural reactions, in order to expand the scope of biocatalytic transformations. Carbene and nitrene transfers to C=C and C-H bonds are reactions of tremendous synthetic utility that lack biological counterparts. I show that various heme proteins, including cytochrome P450BM3, will catalyze promiscuous levels of olefin cyclopropanation when provided with the appropriate synthetic reagents (e.g., diazoesters and styrene). Only a few amino acid substitutions are required to install synthetically useful levels of stereoselective cyclopropanation activity in P450BM3. Understanding that the ferrous-heme is the active species for catalysis and that the artificial reagents are unable to induce a spin-shift-dependent increase in the redox potential of the ferric P450, I design a high-potential serine-heme ligated P450 (P411) that can efficiently catalyze cyclopropanation using NAD(P)H. Intact E. coli whole-cells expressing P411 are highly efficient asymmetric catalysts for olefin cyclopropanation. I also show that engineered P450s can catalyze intramolecular amination of benzylic C-H bonds from arylsulfonyl azides. Finally, I review other examples of where synthetic reagents have been used to drive the evolution of novel enzymatic activity in the environment and in the laboratory. I invoke preadaptation to explain these observations and propose that other man-invented reactions may also be transferrable to natural enzymes by using a mechanism-based approach for choosing the enzymes and the reagents. Overall, this work shows that existing enzymes can be readily adapted for catalysis of synthetically important reactions not previously observed in nature.

Enhancing Kerr nonlinearity in an asymmetric double quantum well via Fano interference

We investigate the enhancement of Kerr nonlinearity in an asymmetric GaAs double quantum well via Fano interference, which is caused by tunneling from the excited subband to the continuum. In our structure, owing to Fano interference, the Kerr nonlinearity can be enhanced by appropriately choosing the values of the detunings and the intensity of the pump field, while cancel the linear and nonlinear absorptions.

Reactions of small molecules facilitated by metal-acceptor interactions

The role of metal-acceptor interactions arising from M–BR3 and M–PR3 bonding is discussed with respect to reactions between first-row transition metals and N2, H2, and CO. Thermally robust, S = 1/2 (TPB)Co(H2) and (TPB)Co(N2) complexes (TPB = tris(2- (diisopropylphosphino)phenyl)borane) are described and the energetics of N2 and H2 binding are measured. The H2 and N2 ligands are bound more weakly in the (TPB)Co complexes than in related (SiP3)M(L) complexes (SiP3 = tris(2- (diisopropylphosphino)phenyl)silyl). Comparisons within and between these two ligand platforms allow for the factors that affect N2 (and H2) binding and activation to be delineated. The characterization and reactivity of (DPB)Fe complexes (DPB = bis(2- (diisopropylphosphino)phenyl)phenylborane) in the context of N2 functionalization and E–H bond addition (E = H, C, N, Si) are described. This platform allows for the one-pot transformation of free N2 to an Fe hydrazido(-) complex via an Fe aminoimide intermediate. The principles learned from the N2 chemistry using (DPB)Fe are applied to CO reduction on the same system. The preparation of (DPB)Fe(CO)2 is described as well as its reductive functionalization to generate an unprecedented Fe dicarbyne. The bonding in this highly covalent complex is discussed in detail. Initial studies of the reactivity of the Fe dicarbyne reveal that a CO-derived olefin is released upon hydrogenation. Alternative approaches to uncovering unusual reactivity using metal- acceptor interactions are described in Chapters 5 and 6, including initial studies on a new π-accepting tridentate diphosphinosulfinyl ligand and strategies for designing ligands that undergo site-selective metallation to generate heterobimetallic complexes.

Aqueous ring-opening metathesis polymerizations

Past workers in this group as well as in others have made considerable progress in the understanding and development of the ring-opening metathesis polymerization (ROMP) technique. Through these efforts, ROMP chemistry has become something of an organometallic success story. Extensive work was devoted to trying to identify the catalytically active species in classical reaction mixtures of early metal halides and alkyl aluminum compounds. Through this work, a mechanism involving the interconversion of metal carbenes and metallacyclobutanes was proposed. This preliminary work finally led to the isolation and characterization of stable metal carbene and metallacyclobutane complexes. As anticipated, these well-characterized complexes were shown to be active catalysts. In a select number of cases, these catalysts have been shown to catalyze the living polymerization of strained rings such as norbornene. The synthetic control offered by these living systems places them in a unique category of metal catalyzed reactions. To take full advantage of these new catalysts, two approaches should be explored. The first takes advantage of the unusual fact that all of the unsaturation present in the monomer is conserved in the polymer product. This makes ROMP techniques ideal for the synthesis of highly unsaturated, and fully conjugated polymers, which find uses in a variety of applications. This area is currently under intense investigation. The second aspect, which should lend itself to fruitful investigations, is expanding the utility of these catalysts through the living polymerization of monomers containing interesting functional groups. Polymer properties can be dramatically altered by the incorporation of functional groups. It is this latter aspect which will be addressed in this work.

After a general introduction to both the ring-opening metathesis reaction (Chapter 1) and the polymerization of fuctionalized monomers by transition metal catalysts (Chapter 2), the limits of the existing living ROMP catalysts with functionalized monomers are examined in Chapter 3. Because of the stringent limitations of these early metal catalysts, efforts were focused on catalysts based on ruthenium complexes. Although not living, and displaying unusually long induction periods, these catalysts show high promise for future investigations directed at the development of catalysts for the living polymerization of functionalized monomers. In an attempt to develop useful catalysts based on these ruthenium complexes, efforts to increase their initiation rates are presented in Chapter 4. This work eventually led to the discovery that these catalysts are highly active in aqueous solution, providing the opportunity to develop aqueous emulsion ROMP systems. Recycling the aqueous catalysts led to the discovery that the ruthenium complexes become more activated with use. Investigations of these recycled solutions uncovered new ruthenium-olefin complexes, which are implicated in the activation process. Although our original goal of developing living ROMP catalysts for the polymerization of fuctionalized monomers is yet to be realized, it is hoped that this work provides a foundation from which future investigations can be launched.

In the last chapter, the ionophoric properties of the poly(7-oxanobornene) materials is briefly discussed. Their limited use as acyclic host polymers led to investigations into the fabrication of ion-permeable membranes fashioned from these materials.

Signal transduction with hybridization chain reactions

Some of the most exciting developments in the field of nucleic acid engineering include the utilization of synthetic nucleic acid molecular devices as gene regulators, as disease marker detectors, and most recently, as therapeutic agents. The common thread between these technologies is their reliance on the detection of specific nucleic acid input markers to generate some desirable output, such as a change in the copy number of an mRNA (for gene regulation), a change in the emitted light intensity (for some diagnostics), and a change in cell state within an organism (for therapeutics). The research presented in this thesis likewise focuses on engineering molecular tools that detect specific nucleic acid inputs, and respond with useful outputs.

Four contributions to the field of nucleic acid engineering are presented: (1) the construction of a single nucleotide polymorphism (SNP) detector based on the mechanism of hybridization chain reaction (HCR); (2) the utilization of a single-stranded oligonucleotide molecular Scavenger as a means of enhancing HCR selectivity; (3) the implementation of Quenched HCR, a technique that facilitates transduction of a nucleic acid chemical input into an optical (light) output, and (4) the engineering of conditional probes that function as sequence transducers, receiving target signal as input and providing a sequence of choice as output. These programmable molecular systems are conceptually well-suited for performing wash-free, highly selective rapid genotyping and expression profiling in vitro, in situ, and potentially in living cells.

Generation of periodic ultrashort electron bunches and strongly asymmetric ion Coulomb explosion in nanometer foils interacting with ultra-intense laser pulse

The interaction of a linearly polarized intense laser pulse with an ultrathin nanometer plasma layer is investigated to understand the physics of the ion acceleration. It is shown by the computer simulation that the plasma response to the laser pulse comprises two steps. First, due to the vxB effect, electrons in the plasma layer are extracted and periodic ultrashort relativistic electron bunches are generated every half of a laser period. Second, strongly asymmetric Coulomb explosion of ions in the foil occurs due to the strong electrostatic charge separation, once the foil is burnt through. Followed by the laser accelerated electron bunch, the ion expansion in the forward direction occurs along the laser beam that is much stronger as compared to the backward direction. (c) 2008 American Institute of Physics.

Advances in organic catalysis: the design of a novel asymmetric, organocatalytic intramolecular Diels Alder reaction

No abstract.

Progress towards the total synthesis of a spermine-conjugated dynemicin analog

Progress towards the synthesis of the spermine-conjugated Dynemicin analog 4 is described. The synthetic route starts with the Michael addition of menthyl acetoacetate to trans-ethyl crotonate followed by a Dieckman condensation to form the cyclohexanedione 14 which, through a series of chemical reactions, is transformed into the quinone imine 6. Key features in the route include the Suzuki coupling reaction of the aryl boronic acid 11 and the enol triflate 12, thermal deprotection/internal amidation of the biaryl 19, cis addition of the (Z)-enediyne 33 to the quinoline 25, intramolecular acetylide addition to a carbonyl within the ketone 29, and an addition/elimination of the cyanophthalide to the quinone imine 6 to form the anthraquinone 36 utilizing the Kraus and Sugimoto methodology.

Carrier-envelope phase control of carrier-wave Rabi flopping in asymmetric semiparabolic quantum well

We investigate the carrier-wave Rabi flopping effects in an asymmetric semiparabolic semiconductor quantum well (QW) with few-cycle pulse. It is found that higher spectral components of few-cycle ultrashort pulses in the semiparabolic QW depend crucially on the carrier-envelope phase (CEP) of the few-cycle ultrashort pulses: continuum and distinct peaks can be achieved by controlling the CEP. Our results demonstrate that by adjusting the CEP of few-cycle ultrashort pulses, the intersubband dynamics in the asymmetric semiparabolic QW can be controlled in an ultrashort timescale with moderate laser intensity. (c) 2008 Optical Society of America.

Intensity-dependent asymmetric photoionization in few-cycle laser pulses

The asymmetric photoionization of atoms irradiated by intense, few-cycle laser pulses is studied numerically. The results show that the pulse intensity affects the asymmetric photoionization in three aspects. First, at higher intensities, the asymmetry becomes distinctive for few-cycle pulses of longer durations. Second, as the laser intensity increases, the maximal asymmetry first decreases then increases after it has reached a minimal value. Last, the value of the carrier-envelope phase corresponding to the maximal asymmetry varies with the pulse intensity. This study reveals that the increasing of pulse intensity is helpful for observing the asymmetric photoionization.