The activity of glycogen phosphorylase (1,4-alpha-D-glucan:orthophosphate alpha-D-glucosyltransferase, EC 2.4.1.1) is controlled by a cyclic phosphorylation-dephosphorylation process through the action of the interconverting enzymes, phosphorylase b kinase (ATP:phosphorylase-b phosphotransferase, EC 2.7.1.38) and phosphorylase a phosphatase (phosphorylase a phosphohydrolase, EC 3.1.3.17). In mu...

In this paper we obtain bounds for the decay rate for solutions to the nonlocal problem ∂tu(t, x) = R n J(x, y)[u(t, y) − u(t, x)]dy. Here we deal with bounded kernels J but with polynomial tails, that is, we assume a lower bound of the form J(x, y) ≥ c1|x − y| −(n+2σ) , for |x − y| > c2. Our estimates takes the form u(t) L q (R n) ≤ Ct − n 2σ (1− 1 q) for t large.

Impulsive or heavy-tailed processes with innnite variance appear naturally in a variety of practical problems that include wireless communications, teletraac, hidrology, geology and economics. Most signal processing and statistical methods available in the literature have been designed under the assumption that the processes possess nite variance, and they usually breakdown in the presence of i...

Unlimited ultrasensitivity in a kinase/phosphatase "futile cycle" has been a paradigmatic example of collective behaviour in multi-enzyme systems. However, its analysis has relied on the Michaelis-Menten reaction mechanism, which remains widely used despite a century of new knowledge. Modifying and demodifying enzymes accomplish different biochemical tasks; the donor that contributes the modify...

This paper deals with the pole-zero estimation of a dis-In this paper, an order-recursive algorithm for the min-crete-time linear system from a measured input-output record.

The complex dynamical analysis of the cubic-order iterative family is made to draw the fractal images by means of Möbius conjugacy map applied to a prototype polynomial of the form (z − A) (z − B) . The related dynamics is best displayed through various stability surfaces and parameter spaces.

We show how to provide privacy-preserving (zero-knowledge) answers to order queries on network data that is organized in lists, trees, and partially-ordered sets of bounded dimension. Our methods are efficient and dynamic, in that they allow for updates in the ordering information while also providing for quick and verifiable answers to queries that reveal no information besides the answers to ...

A long-standing problem in developmental biology, closely associated with pattern formation, is how continuous morphogen gradients are translated into sharp response borders that define clearcut territories in which cells express different sets of genes. To understand how gradients can generate thresholds, several mechanisms have been investigated over the years. Initially, most of these studie...

Some multipoint iterative methods without memory, for approximating simple zeros of functions of one variable, are described. For m > 0, n ≥ 0, and k satisfying m+1 ≥ k > 0, there exist methods which, for each iteration, use one evaluation of f, f ′, . . . , f (m), followed by n evaluations of f (k), and have order of convergence m + 2n + 1. In particular, there are methods of order 2(n+1) whic...

This paper describes the approach of using the zero-order Sugeno fuzzy system to design an intelligent decision system for a game of pool. The decision system consists of three types of playing strategies for a normal game of pool: direct, combination and bank shots. For each of the playing scenario on the pool table, the decision system comes out with one output shot (or best shot): presenting...