It is possible to derive a monopole action from vacuum configurations obtained in Monte-Carlo simulations extending the method developed by Swendsen. We apply the method to compact QED both in the Villain and in the Wilson forms. The action of the natural monopoles in the Villain case is in fairly good agreement with that derived by the exact dual transformation. Comparing the monopole actions,...

A new theory model based on the local composition concept (TNRF-modified NRTL (TNRF-mNRTL) model) was developed to express the short-range contribution of the excess Gibbs energy for the solutions containing polymer and electrolyte. An equation represented the activity coefficient of solvent was derived from the proposed excess Gibbs energy equation. The short-range contribution of interaction ...

We develop population coding ideas toward a general approach to the analysis of cortical function that operationalizes the notion of cooperativity. Neural ensemble activation distributions (population representations) are constructed over a defined stimulus parameter space, in our case the 2-dimensional retinal position of the central visual field. In contrast to classical approaches using rece...

The noted biologist E. O. Wilson (1998) has called for "consilience" (the interlocking of perspectives) between realms of knowledge. He pointed out that many current advances in the sciences have involved integrating disciplines (e.g. biophysics, biochemistry, astrophysics). Wilson also stated that such integration is notably absent in the social sciences and humanities. Each discipline goes it...

We investigate four-dimensional N=1 Type IIB orientifolds with continuous Wilson lines, and their T-dual realizations as orientifolds with moving branes. When continuous Wilson lines become discrete the gauge symmetry is enhanced and the T-dual orientifold corresponds to branes sitting at the orbifold fixed points. There is a field theoretic analog describing these phenomena as D-and F-flat def...

Marilyn Gist Farquhar is honored today for her broad range of studies extending over three decades that reveal the dynamics of cellular function. Her contributions to basic cell biology can be classified into four major areas: delineation of structure and function of the renal glomerular basement membrane and related studies dealing with the nature of cellular contacts in epithelia; examination...

I. Refinements on the Hodgkin-Huxley Model The years since Hodgkin’s and Huxley’s pioneering work have produced a number of derivative Hodgkin-Huxley-like models. Recall that Hodgkin and Huxley developed their model from data measured in the giant axon of the squid. Therefore the original model only had voltagedependent channel models for a Na channel and a K channel. There are in addition to t...

One-dimensional differential equations dy/dt = f (t, y) that are periodic in t arise in many areas of applied mathematics. The attracting and repelling periodic solutions and their bifurcations are the key qualitative features that determine the observed behavior of the system being modeled. One quickly finds that the low dimensional character of the problem conceals difficulties that in practi...

In 1955, I began graduate studies at the University of Chicago in the Committee on Biophysics. The program allowed considerable freedom in choosing a research project. When I had made up my mind, I went to see Dr. William Bloom, the distinguished histologist, and told him that I wanted to work on the mechanism of mitosis. He handed me his copy of Wilson’s (1925) book, The Cell in Development an...

We give a very simple new proof of the celebrated intersection theorem of D. K. Ray-Chaudhuri and R. M. Wilson. The new proof yields a generalization to nonuniform set systems. Let N(n, s, r) = ( n s ) + ( n s− 1 ) + · · ·+ ( n s− r + 1 ) . Generalized Ray-Chaudhuri – Wilson Theorem. Let K = {k1, . . . , kr}, L = {l1, . . . , ls}, and assume ki > s − r for all i. Let F be a family of subsets of...