We consider the family of nonlinear difference equations: xn 1 ∑ 3 i 1fi xn, . . . , xn−k f4 xn, . . . , xn−k f5 xn, . . . , xn−k / f1 xn, . . . , xn−k f2 xn, . . . , xn−k ∑ 5 i 3fi xn, . . . , xn−k , n 0, 1, . . . , where fi ∈ C 0, ∞ k , 0, ∞ , for i ∈ {1, 2, 4, 5}, f3 ∈ C 0, ∞ k , 0, ∞ , k ∈ {1, 2, . . . } and the initial values x−k, x−k 1, . . . , x0 ∈ 0, ∞ . We give sufficient conditions un...

Three distinct forms of replication factor C are known to play vital roles in genome replication and integrity in eukaryotic cells. A fourth such complex has recently been identified; initial results suggest that this new family member plays an important role during S phase.

We have investigated the stability of a set of non-rotating anisotropic spherical models with a phase-space distribution function of the Osipkov-Merritt type. The velocity distribution in these models is isotropic near the center and becomes radially anisotropic at large radii. They are special members of the family studied by Dehnen and Tremaine et al. where the mass density has a power-law cu...

The native fold of inhibitory serpins (serpin proteinase inhibitors) is metastable and therefore does not represent the most stable conformation that the primary sequence encodes for. The most stable form is adopted when the reactive centre loop (RCL) inserts, as the fourth strand, into the A b -sheet. Currently a serpin can adopt at least four more stable conformations, termed the cleaved, del...

The persistence of biological systems requires evolved mechanisms which promote stability. Cohesive primate social groups are one example of stable biological systems, which persist in spite of regular conflict. We suggest that genetic relatedness and its associated kinship structure are a potential source of stability in primate social groups as kinship structure is an important organizing pri...

The knowledge of three-dimensional structures at atomic resolution of membrane transport proteins has improved considerably our understanding of their physiological roles and pathological implications. However, most structural biology techniques require an optimal candidate within a protein family for structural determination with (a) reasonable production in heterologous hosts and (b) good sta...

heat shock proteins (hsps), are highly important due to their association with such economically important traits in animals as resistance to temperature shock and mastitis. in the current study, to get a comprehensive information on molecular structure and evolution of the hsp70s, and the available hsp70 sequences of the cattle and other animals taken from ncbi and aligned together. then, nucl...

We construct a smooth family of Hamiltonian systems, together with a family of group symmetries and momentum maps, for the dynamics of point vortices on surfaces parametrized by the curvature of the surface. Equivariant bifurcations in this family are characterized, whence the stability of the Thomson heptagon is deduced without recourse to the Birkhoff normal form, which has hitherto been a ne...