Critical behavior of the two-dimensional uniformly frustrated charged Coulomb gas

In silico investigation of the disease-associated retinoschisin C110Y and C219G mutants

The juvenile X-linked retinoschisis (XLRS) is a retinal disease caused by mutations in the secretory protein, retinoschisin (RS1). Majority of the disease is resulted from single point mutations on the RS1 discoidin domain with cysteine mutations being related to some of the more severe cases of XLRS. Previous studies have indicated that two mutations (C110Y and C219G), which involve cysteines that form intramolecular disulfide bonds in the native discoidin domain, resulted in different oligomerization states of the proteins and did not correlate with the degree of protein stability as calculated by the change in folding free energy. Through homology modeling, bioinformatics predictions, molecular dynamics (MD) and docking simulations, we attempt to investigate the effects of these two mutations on the structure of the RS1 discoidin domain in relevance to the discrepancy found between structural stability and aggregation propensity. Based on our findings, this discrepancy can be explained by the ability of C110Y mutant to establish suitable modules for initiating amorphous aggregation and to expand the aggregating mass through predominantly hydrophobic interactions. The low capability of C219G mutant to oligomerize, on the other hand, may be due to its greater structural instability and lesser hydrophobic tendency, two properties that may be unsupportive of aggregation. The results, altogether, indicate that aggregation propensity in the RS1 C110Y mutant is dependent upon the formation of suitable aggregating substrates for propagation of aggregation and not directly related to or determined by overall structural instability. As for the wildtype protein, the binding specificity of the spikes for biological function and the formation of octameric structure are contributed by important loop interactions, as well as evolved structural and sequence-based properties that prevent aggregation.

Critical behavior of the frustrated antiferromagnetic six-state clock model on a triangular lattice

We study the antiferromagnetic six-state clock model with nearest neighbor interactions on a triangular lattice with extensive Monte Carlo simulations. We find clear indications of two phase transitions at two different temperatures: Below T(I) a chirality order sets in and by a thorough finite-size-scaling analysis of the specific heat and the chirality correlation length we show that this transition is in the Ising universality class (with a nonvanishing chirality order parameter below T(I)). At T(KT) (<T(I)) the spin-spin correlation length as well as the spin susceptibility diverges according to a Kosterlitz-Thouless (KT) form and spin correlations decay algebraically below T(KT). We compare our results to recent x-ray diffraction experiments on the orientational ordering of CF3Br monolayers physisorbed on graphite. We argue that the six-state clock model describes the universal feature of the phase transition in the experimental system and that the orientational ordering belongs to the KT universality class.

Patterns of striped order in the classical lattice Coulomb gas

We obtain via Monte Carlo simulations the low-temperature charge configurations in the lattice Coulomb gas on a square lattice for charge filling ratio f in the range 1/3<f<1/2. We find a simple regularity in the low-temperature charge configurations which consist of a suitable periodic combination of a few basic striped patterns characterized by the existence of partially filled diagonal channels. In general, there exist two separate transitions where the lower temperature transition (T(p)) corresponds to the freezing of charges within the partially filled channels. T(p) is found to be sensitively dependent on f through the charge number density nu = p1/q1 within the channels.