Supplementary material for “ Simulation methods with ex - tended stability for stiff biochemical kinetics ”
نویسنده
چکیده
tended stability for stiff biochemical kinetics” Pau Rué , Jordi Villà–Freixa∗1 , Kevin Burrage∗3,4 1Computational Biochemistry and Biophysics Group, Research Unit on Biomedical Informatics, IMIM / Universitat Pompeu Fabra, c/ Dr. Aiguader 88, 08003, Barcelona, Catalonia, Spain 2Current address: Departament de F́ısica i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Edifici GAIA, Rambla de Sant Nebridi s/n 08222, Terrassa, Barcelona, Spain 3Institute for Molecular Bioscience, The University of Queensland, Brisbane, QLD, 4072, Australia 4COMLAB and OCISB, University of Oxford, Oxford OX1 3QD, United Kingdom Email: Pau Rué [email protected]; Jordi Villà–Freixa∗[email protected]; Kevin Burrage∗[email protected]; ∗Corresponding author Technical results Mean and variance behaviour of the framework In order to analyse the mean and variance behaviour of dn = m ∑ j=1 νjL (τ, aj(Xn)) (1)
منابع مشابه
Formation and Stability of Synaptic Receptor Domains: Supplemental Material
A summary of experimental materials and methods is presented in Sec. S1. Section S2 provides supplementary information on Eqs. (1) and (2) of the main text, and Sec. S3 discusses in greater detail our reaction kinetics for the formation and stability of synaptic receptor domains. Finally, Secs. S4 and S5 provide supplementary information pertaining to the simulations of the steady-state and pla...
متن کاملA hybrid method with optimal stability properties for the numerical solution of stiff differential systems
In this paper, we consider the construction of a new class of numerical methods based on the backward differentiation formulas (BDFs) that be equipped by including two off--step points. We represent these methods from general linear methods (GLMs) point of view which provides an easy process to improve their stability properties and implementation in a variable stepsize mode. These superioritie...
متن کاملUsing Neural Network to Control STATCOM for ImprovingTransient Stability
FACTS technology has considerable applications in power systems, such as; improving the steady stateperformance, damping the power system oscillations, controlling the power flow, and etc. STATCOM is oneof the most important FACTS devices used in the parallel compensation, enhancing transient stability andetc. Since three phase fault is widespread in power systems, in this paper STATCOM is used...
متن کاملImplicit Simulation Methods for Stochastic Chemical Kinetics
In biochemical systems some of the chemical species are present with only small numbers of molecules. In this situation discrete and stochastic simulation approaches are more relevant than continuous and deterministic ones. The fundamental Gillespie’s stochastic simulation algorithm (SSA) accounts for every reaction event, which occurs with a probability determined by the configuration of the s...
متن کاملSequential second derivative general linear methods for stiff systems
Second derivative general linear methods (SGLMs) as an extension of general linear methods (GLMs) have been introduced to improve the stability and accuracy properties of GLMs. The coefficients of SGLMs are given by six matrices, instead of four matrices for GLMs, which are obtained by solving nonlinear systems of order and usually Runge--Kutta stability conditions. In this p...
متن کامل