We solve a conjecture on multiple nondegenerate steady states, and prove bistability for sequestration networks. More specifically, we that any odd number of species, production factor, the fully open extension network admits three positive two which are locally asymptotically stable. In addition, provide non-empty set in parameter space where bistability, present p...

The authors have developed a mathematical model of regulation of expression of the Escherichia coli lac operon, and have investigated bistability in its steady-state induction behaviour in the absence of external glucose. Numerical analysis of equations describing regulation by artificial inducers revealed two natural bistability parameters that can be used to control the range of inducer conce...

The nature of bistability in large gas-phase chemical networks of dense interstellar clouds at 10 K is examined. The dependence of bistability on the parameter ζ/nH, the cosmic ray ionization rate divided by the total hydrogen density, for a wide range of elemental depletions is investigated in detail. We confirm that bistability can exist at steady-state for a range of ζ/nH, but we also confir...

The thalamic reticular (RE) nucleus plays a crucial role in regulating the excitability of thalamocortical networks and in generating some sleep rhythms. Current clamp intracellular recordings of RE neurons in cats under barbiturate anaesthesia revealed the presence of membrane bistability in ~20% of neurons. Bistability consisted of two alternate membrane potentials, separated by ~17-20 mV. Wh...

Bistability, or more generally multistability, is an important recurring theme in biological systems. In particular, the discovery of bistability in signal pathways of genetic networks, prompts strong interest in understanding both the design and function of these networks. Therefore, modelling these systems is crucial to understand their behaviors, and also to analyze and identify characterist...

Genetic toggle switches are widespread in gene regulatory networks (GRN). Bistability, namely the ability to choose among two different stable states, is an essential feature of switching and memory devices. Cells have many regulatory circuits able to provide bistability that endow a cell with efficient and reliable switching between different physiological modes of operation. It is often assum...

Based on a stochastic, nonlinear, open biochemical reaction system perspective, we present an analytical theory for cellular biochemical processes. The chemical master equation (CME) approach provides a unifying mathematical framework for cellular modeling. We apply this theory to both self-regulating gene networks and phosphorylationdephosphorylation signaling modules with feedbacks. Two types...

Measurement results on the formation of bistability loops in the light versus current and current versus voltage characteristics of two-stage bipolar cascade VCSELs are presented. It is observed that the bistable behavior is the more pronounced the more the cavity resonance is blue-shifted with respect to the gain maximum of the quantum wells. Additionally, the slope efficiency increases by mor...