Cationic ring opening polymerisation (CROP) of oxetane and its derivatives using oxonium derived initiators

Several cationic initiator systems were developed and used to polymerise oxetane with two oxonium ion initiator systems being investigated in depth. The first initiator system was generated by the elimination of a chloride group from a chloro methyl ethyl ether. Adding a carbonyl co-catalyst to a carbocationic centre generated the second initiator system. It was found that the anion used to stabilise the initiator was critical to the initial rate of polymerisation of oxetane with hexafluoroantimonate resulting in the fastest polymerisations. Both initiator systems could be used at varying monomer to initiator concentrations to control the molecular number average, Mn, of the resultant polymer. Both initiator systems showed living characteristics and were used to polymerise further monomers and generate higher molecular weight material and block copolymers. Oxetane and 3,3-dimethyl oxetane can both be polymerised using either oxonium ion initiator system in a variety of DCM or DCM/1,4-dioxane solvent mixtures. The level of 1,4-dioxane does have an impact on the initial rate of polymerisation with higher levels resulting in lower initial rates of polymerisation but do tend to result in higher polydispersities. The level of oligomer formation is also reduced as the level of 1,4-dioxane is increased. 3,3-bis-bromomethyl oxetane was also polymerised but a large amount of hyperbranching was seen at the bromide site resulting in a difficult to solvate polymer system. Multifunctional initiator systems were also generated using the halide elimination reactions with some success being achieved with 1,3,5-tris-bromomethyl-2,4,6-tris-methyl-benzene derived initiator system. This offered some control over the molecular number average of the resultant polymer system.

Solvability and asymptotics of the heat equation with mixed variable lateral conditions and applications in the opening of the exocytotic fusion pore in cells

We investigate a mixed problem with variable lateral conditions for the heat equation that arises in modelling exocytosis, i.e. the opening of a cell boundary in specific biological species for the release of certain molecules to the exterior of the cell. The Dirichlet condition is imposed on a surface patch of the boundary and this patch is occupying a larger part of the boundary as time increases modelling where the cell is opening (the fusion pore), and on the remaining part, a zero Neumann condition is imposed (no molecules can cross this boundary). Uniform concentration is assumed at the initial time. We introduce a weak formulation of this problem and show that there is a unique weak solution. Moreover, we give an asymptotic expansion for the behaviour of the solution near the opening point and for small values in time. We also give an integral equation for the numerical construction of the leading term in this expansion.

The effect of universal futures on opening and closing stock market price discovery

Purpose – On 29 January 2001, Euronext LIFFE introduced single security futures contracts on a range of global companies. The purpose of this paper is to examine the impact that the introduction of these futures contracts had on the behaviour of opening and closing UK equity returns. Design/methodology/approach – The paper models the price discovery process using the Amihud and Mendelson partial adjustment model which can be estimated using a Kalman filter. Findings – Empirical results show that during the pre-futures period both opening and closing returns under-react to new information. After the introduction of futures contracts opening returns over-react. A rise in the partial adjustment coefficient also takes place for closing returns but this is not large enough to cause over-reaction. Originality/value – This is the first study to examine the impact of a single security futures contract on the speed of spot market price discovery.

Background synaptic activity in rat entorhinal cortex shows a progressively greater dominance of inhibition over excitation from deep to superficial layers

The entorhinal cortex (EC) controls hippocampal input and output, playing major roles in memory and spatial navigation. Different layers of the EC subserve different functions and a number of studies have compared properties of neurones across layers. We have studied synaptic inhibition and excitation in EC neurones, and we have previously compared spontaneous synaptic release of glutamate and GABA using patch clamp recordings of synaptic currents in principal neurones of layers II (L2) and V (L5). Here, we add comparative studies in layer III (L3). Such studies essentially look at neuronal activity from a presynaptic viewpoint. To correlate this with the postsynaptic consequences of spontaneous transmitter release, we have determined global postsynaptic conductances mediated by the two transmitters, using a method to estimate conductances from membrane potential fluctuations. We have previously presented some of this data for L3 and now extend to L2 and L5. Inhibition dominates excitation in all layers but the ratio follows a clear rank order (highest to lowest) of L2>L3>L5. The variance of the background conductances was markedly higher for excitation and inhibition in L2 compared to L3 or L5. We also show that induction of synchronized network epileptiform activity by blockade of GABA inhibition reveals a relative reluctance of L2 to participate in such activity. This was associated with maintenance of a dominant background inhibition in L2, whereas in L3 and L5 the absolute level of inhibition fell below that of excitation, coincident with the appearance of synchronized discharges. Further experiments identified potential roles for competition for bicuculline by ambient GABA at the GABAA receptor, and strychnine-sensitive glycine receptors in residual inhibition in L2. We discuss our results in terms of control of excitability in neuronal subpopulations of EC neurones and what these may suggest for their functional roles. © 2014 Greenhill et al.