Delay stability of reaction systems
DOI10.1016/j.mbs.2020.108387zbMath1454.92016arXiv2003.04959OpenAlexW3032654793WikidataQ96017774 ScholiaQ96017774MaRDI QIDQ2197755
Maya Mincheva, Polly Y. Yu, Casian Pantea, Gheorghe Craciun
Publication date: 1 September 2020
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.04959
delay differential equationcharacteristic equationasymptotically stablereaction networkmass action systemabsolutely stableGershgorin circle\(P_0\)-matrixdelay stablemodified jacobiannon-autocatalytic networksequestration reaction
Classical flows, reactions, etc. in chemistry (92E20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Stability theory of functional-differential equations (34K20) Systems biology, networks (92C42) Stationary solutions of functional-differential equations (34K21)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Theoretical foundations for traditional and generalized sensitivity functions for nonlinear delay differential equations
- Delay differential equations: with applications in population dynamics
- Differential-difference equations
- Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems
- Identifiability of chemical reaction networks
- Graph-theoretic methods for the analysis of chemical and biochemical networks. II. Oscillations in networks with delays
- Inertia characteristics of self-adjoint matrix polynomials
- Absolute stability in delay equations
- Discrete delay, distributed delay and stability switches
- Introduction to functional differential equations
- The nonnegativity of solutions to delay differential equations
- Semistability of complex balanced kinetic systems with arbitrary time delays
- Analyzing multistationarity in chemical reaction networks using the determinant optimization method
- Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements
- A Survey of Methods for Deciding Whether a Reaction Network is Multistationary
- On the quasi-steady-state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion
- Diagonal dominance and harmless off-diagonal delays
- Existence of Positive Steady States for Weakly Reversible Mass-Action Systems
- Second, third, and fourth order D-stability
- Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model
- Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
- Multiple Equilibria in Complex Chemical Reaction Networks: II. The Species-Reaction Graph
- An Introduction to Delay Differential Equations with Applications to the Life Sciences
This page was built for publication: Delay stability of reaction systems
