as recent advancements in biology shows, the molecular machines specially proteins, rna and complex molecules play the main role of the so called cell functionality. it means a very big part of the system biology is concerned with the interactions of such molecular components. drug industries and research institutes are trying hard to better understand the concepts underlying these interactions...

In the wake of Donaldson’s pioneering work [6], Picard-Lefschetz theory has been extended from its original context in algebraic geometry to (a very large class of) symplectic manifolds. Informally speaking, one can view the theory as analogous to Kirby calculus: one of its basic insights is that one can give a (non-unique) presentation of a symplectic manifold, in terms of a symplectic hypersu...

We present a method for condensing the information in multiple alignments of proteins into a mixture of Dirichlet densities over amino acid distributions. Dirichlet mixture densities are designed to be combined with observed amino acid frequencies to form estimates of expected amino acid probabilities at each position in a proole, hidden Markov model, or other statistical model. These estimates...

We compute the stable Bar-Natan link homology of oriented framed links coloured by irreducible representations of Uq(sl2).