Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate

0We study the exact solution for a two-mode model describing coherent coupling between atomic and molecular Bose-Einstein condensates (BEC), in the context of the Bethe ansatz. By combining an asymptotic and numerical analysis, we identify the scaling behaviour of the model and determine the zero temperature expectation value for the coherence and average atomic occupation. The threshold coupling for production of the molecular BEC is identified as the point at which the energy gap is minimum. Our numerical results indicate a parity effect for the energy gap between ground and first excited state depending on whether the total atomic number is odd or even. The numerical calculations for the quantum dynamics reveals a smooth transition from the atomic to the molecular BEC.

The LFA-1-associated molecule PTA-1 (CD226) on T cells forms a dynamic molecular complex with protein 4.1G and human discs large

Clustering of the T cell integrin, LFA-1, at specialized regions of intercellular contact initiates integrin-mediated adhesion and downstream signaling, events that are necessary for a successful immunological response. But how clustering is achieved and sustained is not known. Here we establish that an LFA-1-associated molecule, PTA-1, is localized to membrane rafts and binds the carboxyl-terminal domain of isoforms of the actin-binding protein 4.1G. Protein 4.1 is known to associate with the membrane-associated guanylate kinase homologue, human discs large. We show that the carboxyl-terminal peptide of PTA-1 also can bind human discs large and that the presence or absence of this peptide greatly influences binding between PTA-1 and different isoforms of 4.1G. T cell stimulation with phorbol ester or PTA-1 cross-linking induces PTA-1 and 4.1G to associate tightly with the cytoskeleton, and the PTA-1 from such activated cells now can bind to the amino-terminal region of 4.1G. We propose that these dynamic associations provide the structural basis for a regulated molecular adhesive complex that serves to cluster and transport LFA-1 and associated molecules.

Investigation of the immunocompetent cells that bind early pregnancy factor and preliminary studies of the early pregnancy factor target molecule

Early pregnancy factor (EPF) is a secreted protein with immunosuppressive and growth factor properties. It has been shown to suppress the delayed-type hypersensitivity response in mice as well as acute and chronic forms of experimental autommume encephalomyelitis in rats and mice, respectively. In previous studies, we have demonstrated that EPF binds to a population of lymphocytes and we hypothesized that it mediates its suppressive effects by binding to CD4(+) T cells. In the present study, we isolated monocytes and subpopulations of lymphocytes and labelled them with fluoresceinated EPF in order to determine which populations bind EPF. We demonstrated that EPF binds specifically to CD4(+), CD8(+), CD14(+) (monocytes) and CD56(+) NK cells but not to CD19(+) B cells. The identity of the molecule(s) on the cell surface that is targeted by EPF is unknown, but as EPF is an extracellular homologue of the intracellular protein chaperonin 10 (Cpn 10), we examined the possibility that the EPF receptor is a membrane-associated form of chaperonin 60 (Cpn60), the functional associate of Cpn 10 within the cell. The EPF target molecule on lymphocytes was visualized by chemical cross-linking of exogenous iodinated Cpn10 to cells and probed with anti-Cpn60. The effect of anti-Cpn60 on activity in the EPF bioassay, the rosette inhibition test, was also examined. In both instances, no specific interaction of this antibody and the putative receptor was observed. It was concluded that the cell surface molecule targeted by EPF is unlikely to be a homologue of Cpn60.

A small-molecule lead compound for the treatment of Alzheimer's disease

At autopsy, Alzheimer's disease is characterised by the presence of amyloid plaques and neurofibrillary tangles, made up of two peptide sequences, amyloid-beta(1-40) (A beta 40) and amyloid-beta(1-42) (A beta 42). In Tyrode's solution (2 mM Ca2+), 10 mu M A beta 42 peptide almost immediately aggregates and eventually forms p-sheets. This aggregation can be inhibited with 4,5-dianilinophthalimide (DAPH). Ca2+-permeant AMPA receptors are involved in the neuronal Ca2+ influx (neurotoxicity) induced by the A beta 42 peptide in cultured neuronal cells. The Ca2+ influx observed with pre-incubated A beta 42 peptide was inhibited by DAPH. DAPH also inhibits epidermal growth factor receptor kinase, and this will prevent its development for use in Alzheimer's disease. The potential of DAPH as a small-molecule lead compound for the treatment of Alzheimer's disease next requires the separation of the structural requirements that reverse fibril formation and inhibit epidermal growth factor receptor kinase.

BOC, brother of CDO, is a dorsoventral axon-guidance molecule in the embryonic vertebrate brain

The early axon scaffolding in the embryonic vertebrate brain consists of a series of ventrally projecting axon tracts that grow into a single major longitudinal pathway connected across the midline by commissures. We have investigated the role of Brother of CDO (BOC), an immunoglobulin (Ig) superfamily member distantly related to the Roundabout (Robo) family of axon-guidance receptors, in the development of this embryonic template of axon tracts in the zebrafish brain. A zebrafish homologue of BOC was isolated and shown to be expressed predominantly in the developing neural plate and later in the neural tube and developing brain. Zebrafish boc was initially highly localized to discrete bands in the mid- and hindbrain, but, as the major brain subdivisions emerged, it became more evenly expressed along the rostrocaudal axis, particularly in dorsal regions. The function of zebrafish boc was examined by a loss-of-function approach. Analysis of embryos injected with antisense morpholinos designed against boc revealed highly selective defects in the development of dorsoventrally projecting axon tracts. Loss of boc caused ventrally projecting axons, particularly those arising from the presumptive telencephalon, to follow aberrant trajectories. These data indicate that boc is an axon-guidance molecule playing a fundamental role in pathfinding during the early patterning of the axon scaffold in the embryonic vertebrate brain. (c) 2005 Wiley-Liss, Inc.

Single-molecule dynamic triangulation

A proposal for using single molecules as nanoprobes capable of detecting the trajectory of an elementary charge is discussed in detail. Presented numerical simulations prove that this singlemolecule technique allows determination of a three-dimensional single-electron displacement within a few seconds with an accurocy better than 0.006 nm. Surprisingly, this significantly exceeds the accuracy with which the probe;, molecule itself can be localized (given the same measuring time by means of single-molecule microscopy. It is also shown that the optimal concentration of probe molecules in the vicinity of:the electron (i.e. the concentration which provides the best accuracy of the inferred electron displacement) is of the order of 10(-5) m.

Observing a coherent superposition of an atom and a molecule

We demonstrate that it is possible, in principle, to perform a Ramsey-type interference experiment to exhibit a coherent superposition of a single atom and a diatomic molecule. This gedanken experiment, based on the techniques of Aharonov and Susskind [Phys. Rev. 155, 1428 (1967)], explicitly violates the commonly accepted superselection rule that forbids coherent superpositions of eigenstates of differing atom number. A Bose-Einstein condensate plays the role of a reference frame that allows for coherent operations analogous to Ramsey pulses. We also investigate an analogous gedanken experiment to exhibit a coherent superposition of a single boson and a fermion, violating the commonly accepted superselection rule forbidding coherent superpositions of states of differing particle statistics. In this case, the reference frame is realized by a multimode state of many fermions. This latter case reproduces all of the relevant features of Ramsey interferometry, including Ramsey fringes over many repetitions of the experiment. However, the apparent inability of this proposed experiment to produce well-defined relative phases between two distinct systems each described by a coherent superposition of a boson and a fermion demonstrates that there are additional, outstanding requirements to fully lift the univalence superselection rule.