We develop various mathematical models of the clinical latency stage of HIV-1 infection assuming that HIV-1 infection is limited either by the availability of cells that HIV can infect of by a specific anti-HIV cellular immune response. The former models we call "target-cell-limited." Comparing...

We show that voltage-sensitive macromolecules can, by the application of the right type of external voltage fluctuation, be focused with great probability into a desired kinetic substate. As an illustration we consider an eight-state model of the Shaker $K^+$ channel driven by dichotomous...

We look at price formation in a retail setting, that is, companies set prices, and consumers either accept prices or go someplace else. In contrast to most other models in this context, we use a two-dimensional spatial structure for information transmission, that is, consumers can only learn...

Signaling networks are exemplified by systems as diverse as biological cells, economic markets, and the Web. After a discussion of some general characteristics of signaling networks, this paper explores the adaptive evolution of complexity in a simple model of a signaling network. The paper...

Dynamics is not enough for cognition nor is it a substitute for information processing aspects of brain behavior. Moreover, dynamics and computation are not at odds, but are quite compatible. They can be synthesized so that any dynamical system can be analyzed in terms of its intrinsic...

In this paper we prove a Faber-Krahn-type inequality for regular trees and give a complete characterization of extremal trees. The main tools are rearrangements and perturbation of regular trees.

We show closed-form analytic functions consisting of a finite number of trigonometric terms can simulate Turing machines, with exponential slowdown in one dimension or in real time in two or more. <p> Key words. dynamical systems, universal computation, iterated maps, analytic functions, Halting...</p>

RNA viruses are known to replicate with extremely high mutation rates. These rates are actually close to the so-called error threshold. This threshold is in fact a critical point beyond which genetic information is lost through a second-order phase transition, which has been dubbed the ``error...

We present and analyze a model for the cross-regulation of the Th1 and Th2 helper cell subsets during an immune response by the regulatory cytokines interferon-$\gamma$ (IFN-$\gamma$) and interleukin-10 (IL-10). IFN-$\gamma$, secreted by Th1 cells, can inhibit the proliferation of Th2 cells....

I consider the research university from a complex adaptive systems perspective, and offer some modest proposals for the university of the future-a student-based complex adaptive learning community in which both feedback and transdisciplinary problem-oriented Centers play central roles. <p> <p> To...</p></p>