Computational Analysis of Biochemical Systems: A Practical Guide for Biochemists and Molecular Biologists

By Eberhard O. Voit. 2000

648 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d3adf851891c81afa51b35f44abadd0c63ca8674

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In Molecular Biology

Citations in the corpus

Optimal rate of direct estimators in systems of ordinary differential equations linear in functions of the parameters (2013, background): “However, their methods are based on estimates of derivatives, and it is well known (see [44] and [10]) that estimating derivatives from noisy and sparse data may be rather inaccurate.”
Sparse Additive Ordinary Differential Equations for Dynamic Gene Regulatory Network Modeling (2014, background): “2009); and differential equation models (Voit 2000; Holter et al. 2001; DeJong 2002; Yeung, Tegner, and Collins 2002).”
Decoupling dynamical systems for pathway identification from metabolic profiles (2004, background): “Due to these and other unique features, BST has been the subject of numerous articles and several books (Savageau, 1976; Voit, 1991, 2000; Torres and Voit, 2002) and therefore needs no detailed review here.”
Gene regulatory network inference: Data integration in dynamic models - A review (2009, background): “However, many GRN inference approaches based on differential equations consider linear models or are limited to very specific types of non-linear functions (Voit, 2000; De Jong, 2002; see Section 3.3.2).”
√n-consistent parameter estimation for systems of ordinary differential equations : bypassing numerical integration via smoothing (2010, positive): “The search process is most often done via gradient-based methods, e.g. the Levenberg-Marquardt method, see Levenberg (1963), or via random search algorithms, see Section 4.5.2 in Voit (2000) for a literature overview.”
Recent Developments in Parameter Estimation and Structure Identification of Biochemical and Genomic Systems (2009, methodology): “branched pathway with several feedback inhibition signals (similar pathway as model (F) but without independent variables) [35]; (L) Ten-variable system ([159]).”