Search
Search Results
-
In distributive phosphorylation catalytic constants enable non-trivial dynamics
Ordered distributive double phosphorylation is a recurrent motif in intracellular signaling and control. It is either sequential (where the site...
-
Bifunctional enzyme provides absolute concentration robustness in multisite covalent modification networks
Biochemical covalent modification networks exhibit a remarkable suite of steady state and dynamical properties such as multistationarity,...
-
Algebra, Geometry and Topology of ERK Kinetics
The MEK/ERK signalling pathway is involved in cell division, cell specialisation, survival and cell death (Shaul and Seger in Biochim Biophys Acta...
-
Emergence of Oscillations in a Mixed-Mechanism Phosphorylation System
This work investigates the emergence of oscillations in one of the simplest cellular signaling networks exhibiting oscillations, namely the dual-site...
-
Bounds on the Ultrasensitivity of Biochemical Reaction Cascades
The ultrasensitivity of a dose response function can be quantifiably defined using the generalized Hill coefficient of the function. We examined an...
-
Identifiability from a Few Species for a Class of Biochemical Reaction Networks
Under mass-action kinetics, biochemical reaction networks give rise to polynomial autonomous dynamical systems whose parameters are often difficult...
-
Sensing the environment
One important requirement of sensory eukaryotic cells and single-cell organisms such as bacteria is detecting weak signals in noisy extracellular...
-
On Conditions for the Existence of Cycles in Two Models of a Circadian Oscillator of Mammals
AbstractWe construct two nonlinear dynamical systems of the functioning simplest circadian oscillator. Some conditions of the uniqueness of the...
-
Oscillations and bistability in a model of ERK regulation
This work concerns the question of how two important dynamical properties, oscillations and bistability, emerge in an important biological signaling...
-
Algebra and Geometry in the Study of Enzymatic Cascades
In recent years, techniques from computational and real algebraic geometry have been successfully used to address mathematical challenges in systems...
-
Pattern Formation in the Longevity-Related Expression of Heat Shock Protein-16.2 in Caenorhabditis elegans
Aging in Caenorhabditis elegans is controlled, in part, by the insulin-like signaling and heat shock response pathways. Following thermal stress,...
-
Collective Oscillations in Coupled-Cell Systems
We investigate oscillations in coupled systems. The methodology is based on the Hopf bifurcation theorem and a condition extended from the...
-
The effect of site-to-site variability in ultrasensitive dose responses
In this paper we study the ultrasensitive behavior of multisite phosphorylation or ligand binding systems, under site-to-site variations in the...
-
Global stability of a class of futile cycles
In this paper, we prove the global asymptotic stability of a class of mass action futile cycle networks which includes a model of processive...
-
Active transport
In this chapter we turn to the major mechanism for transporting newly synthesized products from the nucleus to other intracellular compartments and...
-
A Global Convergence Result for Processive Multisite Phosphorylation Systems
Multisite phosphorylation plays an important role in intracellular signaling. There has been much recent work aimed at understanding the dynamics of...
-
Diffusive transport
The efficient delivery of proteins and other molecular products to their correct location within a cell (intracellular transport) is of fundamental...
-
Towards a system theory of rational systems
In this paper the reader finds a description of current research in the system theory of rational systems. The research is motivated by the needs of...
-
N-site Phosphorylation Systems with 2N-1 Steady States
Multisite protein phosphorylation plays a prominent role in intracellular processes like signal transduction, cell-cycle control and nuclear signal...
-
Multistationarity in Sequential Distributed Multisite Phosphorylation Networks
Multisite phosphorylation networks are encountered in many intracellular processes like signal transduction, cell-cycle control, or nuclear signal...
