Complex models of biochemical reaction systems have become increasingly common in the
systems biology literature. The complexity of such models can present a number of …

Multi-time scale techniques based on singular perturbations and averaging theory are
among the most powerful tools developed for the synthesis and analysis of feedback control …

Feedback regulation is pervasive in biology at both the organismal and cellular level. In this
article, we explore the properties of a particular biomolecular feedback mechanism called …

In this article, a new model order reduction scheme is proposed for the simplification of large-
scale linear dynamical models. The proposed technique is based on the balanced …

We derive conditions for monotonicity properties that characterize general flows of a
commodity over a network, where the flow is described by potential and flow dynamics on …

In this article, a new system diminution technique is proposed for the reduction in complexity
and controller design of the higher-order models. This method is based on the Mihailov …

In this paper we present a framework for the reduction and linking of physiologically based
pharmacokinetic (PBPK) models with models of systems biology to describe the effects of …

In this article, we compute the reduced-order stable approximation of a linear network
system, preserving the topology and optimal wrt the H 2-norm of the approximation error …

Abstract Model reduction is a central problem in mathematical biology. Reduced order
models enable modeling of a biological system at different levels of complexity and the …

The research generalizes the traditional asymptotic waveform evaluation method only with
first order poles to the method with higher order poles case. We discuss the invertibility of the …