[PDF] Top 20 On constrained Langevin equations and (bio)chemical reaction networks
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On constrained Langevin equations and (bio)chemical reaction networks
... the Langevin diffusion or ODE models; see, for example, [4, 10, 13, 20] and the references ...the Langevin equation to the complex ...“complex Langevin equation” can be used to give real-valued ... See full document
30
Comprehensive review of models and methods for inferences in bio-chemical reaction networks
... and chemical systems are described by networks of chemical ...of reaction networks are used extensively to elucidate their non-linear ...(bio-) chemical reaction ... See full document
30
Chemical master versus chemical langevin for first-order reaction networks
... We saw in section 5 that the Raser and O’Shea gene transcription model (16)–(19) is a first-order reaction network in the sense of [7]. This first-order character is lost when we need to model the case where ... See full document
21
Automatic Simulation of the Chemical Langevin Equation
... the Chemical Mas- ter Equation and the reaction rate equations, the Chemi- cal Langevin Equation (CLE) [15] is considered a very attractive choice in modeling many important biological ... See full document
7
Accurate Ratio Computation using Abstract Chemical Reaction Networks
... any chemical reaction network can be closely approxi- mated by a set of suitably designed DNA strand displacement reactions ...differential equations (ODEs) by a set of idealised abstract ... See full document
6
Improved computation of natural logarithm using chemical reaction networks
... any chemical reaction network can be closely approximated by a set of suitably designed DNA strand displacement reactions ...differential equations (ODEs) by a set of idealised abstract ... See full document
7
A review of the deterministic and diffusion approximations for stochastic chemical reaction networks
... of chemical kinetics was initiated at the beginning of the previous ...the Reaction Network Theory at the end of the ...of chemical reactions obeys deterministic laws which are encoded into systems ... See full document
23
Deep Abstractions of Chemical Reaction Networks
... or removing a single copy might result in significant fluctuations. A typical ex- ample of this behaviour can be observed in a simple self-regulated gene network [19]: a single gene G is transcribed to produce copies of ... See full document
17
The Spatial Chemical Langevin Equation and Reaction Diffusion Master Equations: moments and qualitative solutions
... Spatial Chemical Langevin Equation ...the Chemical Langevin Equation (CLE), can be de- rived from the Chemical Master Equation (CME) [14], which in turn can be derived from a ... See full document
14
CHEMICAL FORMULAS AND EQUATIONS
... a chemical attraction, called a ...the chemical formulas for these compounds. A chemical formula is a representation of the smallest unit of a compound using elemental symbols to show the type of ... See full document
7
CANONICALIZATION OF CONSTRAINED HAMILTONIAN EQUATIONS IN A SINGULAR SYSTEM
... for constrained Hamiltonian system can be given through a series of calculation, the purpose of canonicalization can be ...the constrained Hamiltonian ... See full document
11
Single upper solution or lower solution method for Langevin equations with two fractional orders
... Remark 3.1 In Theorem 3.1, T φ ≥ φ, we call φ a lower solution of operator T . In The- orem 3.2, TR ≤ R, we call R an upper solution of T . From these results, we see that we get the existence and uniqueness of ... See full document
10
Nonlocal problems for Langevin-type differential equations with two fractional-order derivatives
... differential equations (FDEs for short) also has a good ...to Langevin-type FDEs were studied in the significant monographs [–] and recently have also been discussed in the literature [–] via fixed point ... See full document
21
Solutions for a class of fractional Langevin equations with integral and anti-periodic boundary conditions
... differential equations has important application in many ...differential equations [4–24]. Recently fractional Langevin equations have been studied by some scholars (see, for ex- ample, ... See full document
10
chemical equations revised.ppt
... the reaction will occur (spontaneous = reaction occurs) if the element is less reactive then the reaction will not occur (nonspontaneous = does not occur) In the reaction above Zinc is more ... See full document
52
Balancing Chemical Equations
... An atom is defined as the smallest particle of an element that retains the chemical properties of that element. All atoms are composed of the same basic particles, but all atoms are not the same. The Periodic ... See full document
37
Bistable systems with stochastic noise: virtues and limits of effective one-dimensional Langevin equations
... one-dimensional Langevin models are fit- ted to reproduce the observed statistical properties, and used to investing-ate the projected dynamics of the ...one-dimensional Langevin models, when closely ... See full document
14
Automatic seismic wave arrival detection and picking with stationary analysis: Application of the KM2O Langevin equations
... Akaike’s information criteria (AIC) is calculated to evaluate the degree of the AR model fitting. By moving this divid- ing point, the dividing point with the minimum AIC value is judged to be the best point and is the ... See full document
11
Asymptotic analysis for reaction-diffusion equations with absorption
... In this paper, we study the blow-up and nonextinction phenomenon of reaction-diffusion equations with absorption under the null Dirichlet boundary condition. We at first discuss the existence and nonexistence ... See full document
11
Generalized Sturm-Liouville and Langevin equations via Hadamard fractional derivatives with anti-periodic boundary conditions
... and Langevin fractional differential ...and Langevin fractional differential equations of Hadamard type, with anti-periodic boundary conditions of the ... See full document
13
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