Sensivity Analysis of Chemically Reacting Systems

Tilden, J. W.; Costanza, Vicente; McRae, Gregory J.; Seinfeld, John H.

doi:10.1007/978-3-642-68220-9_6

Cited by 36 publications

(7 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In addition, rate constants and concentrations of diverse molecules may vary extensively in an interactive manner among different cellular environments. For these reasons it would be more appropriate to explore, in a probabilistic context, possibilities of non‐linear effects from simultaneous parameter variations of arbitrary magnitudes by means of a global sensitivity analysis [29]. The MPSA method proposed in this study is based on this idea to investigate the influence of the uncertainty of parameters on the behaviors of the signaling pathway.…”

Section: Discussionmentioning

confidence: 99%

In silico identification of the key components and steps in IFN‐γ induced JAK‐STAT signaling pathway

et al. 2005

View full text Add to dashboard Cite

Systems biology efforts are increasingly adopting quantitative, mechanistic modeling to study cellular signal transduction pathways and other networks. However, it is uncertain whether the particular set of kinetic parameter values of the model closely approximates the corresponding biological system. We propose that the parameters be assigned statistical distributions that reflect the degree of uncertainty for a comprehensive simulation analysis. From this analysis, we globally identify the key components and steps in signal transduction networks at a systems level. We investigated a recent mathematical model of interferon gamma induced Janus kinase-signal transducers and activators of transcription (JAK-STAT) signaling pathway by applying multi-parametric sensitivity analysis that is based on simultaneous variation of the parameter values. We find that suppressor of cytokine signaling-1, nuclear phosphatases, cytoplasmic STAT1, and the corresponding reaction steps are sensitive perturbation points of this pathway.

show abstract

Section: Discussionmentioning

confidence: 99%

In silico identification of the key components and steps in IFN‐γ induced JAK‐STAT signaling pathway

et al. 2005

View full text Add to dashboard Cite

show abstract

“…This selection was based upon prior experience with the technique and the availability of a computer code to perform the analysis (Pierce, 1981). In addition, FAST is a well proven technique that has been used in several engineering disciplines to aid in validation of math- ematical models (Boni and Penner, 1977;Pierce, 1981;Pierce and Cukier, 1981;Smith, 1984;Kuntz et al, 1976;Koda et al, 1979;Falls et al, 1979;Tilden et al, 1981). Only a brief review of the salient features of the method are given here, but a detailed description of the therretical development of the techniques is given elsewhere (Cukier et al, 1978).…”

Section: Global Sensitivity Analysismentioning

confidence: 99%

Parametric sensitivity study of a CFD‐based coal combustion model

Smith

Hill

1993

AIChE Journal

View full text Add to dashboard Cite

“…This system has also been treated in ref. [1] (p. 69). For this reaction the concentration of species can be written in terms of a two dimensional system given by…”

Section: Example (1)mentioning

confidence: 91%

Evaluation of the rate constants in chemical reactions

Tadi

Yetter

1998

Int. J. Chem. Kinet.

View full text Add to dashboard Cite

This article is concerned with the application of a new method to recover the rate constants in chemical reactions. The method is based on treating the unknown parameters as time dependent. With appropriate experimental data the unknown rate constants are guided from an arbitrary initial condition to their true value at a final time. An explicit equation describing the time evolution of the parameters is obtained by minimizing the error along the trajectory. The method leads to an iterative algorithm which is described in detail. Numerical results with the method indicate that accurate estimates of the rate constants can be obtained directly from experimental data.

show abstract

Sensivity Analysis of Chemically Reacting Systems

Cited by 36 publications

References 25 publications

In silico identification of the key components and steps in IFN‐γ induced JAK‐STAT signaling pathway

In silico identification of the key components and steps in IFN‐γ induced JAK‐STAT signaling pathway

Parametric sensitivity study of a CFD‐based coal combustion model

Evaluation of the rate constants in chemical reactions

Contact Info

Product

Resources

About