ABSTRACT
When n types of univalent ligands are competing for the binding to m types of protein sites, the determination of the system composition at equilibrium reduces to the solving of a non-linear system of n equations in C = [0; 1](n). We present an iterative method to solve such a system. We show that the sequence presented here is always convergent, regardless of the initial value in C. We also prove that the limit of this sequence is the unique solution in C of the non-linear system of equations.
Subject(s)
Models, Biological , Proteins/metabolism , Algorithms , Binding Sites , Binding, Competitive , Blood Proteins/metabolism , Hormones/metabolism , Humans , Kinetics , Ligands , Protein BindingABSTRACT
Stochastic noise of an appropriate amplitude can maximize the coherence of the dynamics of certain types of excitable systems via a phenomenon known as coherence resonance (CR). In this paper we demonstrate, using a simple excitable system, the mechanism underlying the generation of CR. Using analytical expressions for the spectral density of the system's dynamics, we show that CR relies on the coexistence of fast and slow motions. We also show that the same mechanism of CR holds in the oscillatory regime, and we examine how CR depends on both the excitability of the system and the nonuniformity of the motion.
