2008
DOI: 10.1186/1752-0509-2-35
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Parameter optimization in S-system models

Abstract: Background: The inverse problem of identifying the topology of biological networks from their time series responses is a cornerstone challenge in systems biology. We tackle this challenge here through the parameterization of S-system models. It was previously shown that parameter identification can be performed as an optimization based on the decoupling of the differential Ssystem equations, which results in a set of algebraic equations.

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Cited by 80 publications
(49 citation statements)
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References 21 publications
(20 reference statements)
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“…Eigenvector centrality defines the ''prestige'' of a node in a network. In other words, a node in a network is more central if it is connected to many central nodes (nodes with high degree) [30].…”
Section: Centralities Parameters and Topological Analysismentioning
confidence: 99%
“…Eigenvector centrality defines the ''prestige'' of a node in a network. In other words, a node in a network is more central if it is connected to many central nodes (nodes with high degree) [30].…”
Section: Centralities Parameters and Topological Analysismentioning
confidence: 99%
“…Seatzu proposed B-splines [335,336], and Vilela et al composed a smoother that accounted for the noise structure in the data [337,338]. Wang et al compared various alternatives, including B-splines [339].…”
Section: Parameter Estimation/inverse Problemsmentioning
confidence: 99%
“…Over the last two decades the systems biology community has witnessed rapid advances in system identification methods development including the following: linear, loglinear and nonlinear differential equations; artificial neural networks [53]; genetic algorithm [54]; evolutionary optimization with data collocation [55]; interval analysis [56]; alternating regression [57]; parameter estimation for noisy metabolic profiles using newton-flow analysis [58]; simulated annealing [59]; ant colony optimization algorithm for parameter estimation and network inference [60]; substitution of slopes for differentials; dynamic-flux estimation [61]; eigen-vector optimization [62]; transposive and repressive regression method [63][64][65]; and so on. For instance, the following presented ODE-based methods that use dynamic data and steady-state measurements to capture and identify complex systems: Sorribas and Cascante et al [66]; Irvine [67]; Savageau et al [68]; Tominaga and Okamoto [69]; etc.…”
Section: Inroductionmentioning
confidence: 99%