Recent developments in parameter estimation and structure identification of biochemical and genomic systems
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- @Article{Chou200957,
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author = "I-Chun Chou and Eberhard O. Voit",
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title = "Recent developments in parameter estimation and
structure identification of biochemical and genomic
systems",
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journal = "Mathematical Biosciences",
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year = "2009",
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volume = "219",
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number = "2",
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pages = "57--83",
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month = jun,
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keywords = "genetic algorithms, genetic programming, Parameter
estimation, Network identification, Inverse modelling,
Biochemical Systems Theory",
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ISSN = "0025-5564",
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broken = "http://www.sciencedirect.com/science/article/B6VHX-4VXDV4R-2/2/f7f1904f15cf7aa7404c664ae4658ce8",
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DOI = "doi:10.1016/j.mbs.2009.03.002",
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abstract = "The organisation, regulation and dynamical responses
of biological systems are in many cases too complex to
allow intuitive predictions and require the support of
mathematical modeling for quantitative assessments and
a reliable understanding of system functioning. All
steps of constructing mathematical models for
biological systems are challenging, but arguably the
most difficult task among them is the estimation of
model parameters and the identification of the
structure and regulation of the underlying biological
networks. Recent advancements in modern high-throughput
techniques have been allowing the generation of time
series data that characterise the dynamics of genomic,
proteomic, metabolic, and physiological responses and
enable us, at least in principle, to tackle estimation
and identification tasks using top-down or inverse
approaches. While the rewards of a successful inverse
estimation or identification are great, the process of
extracting structural and regulatory information is
technically difficult. The challenges can generally be
categorised into four areas, namely, issues related to
the data, the model, the mathematical structure of the
system, and the optimisation and support algorithms.
Many recent articles have addressed inverse problems
within the modelling framework of Biochemical Systems
Theory (BST). BST was chosen for these tasks because of
its unique structural flexibility and the fact that the
structure and regulation of a biological system are
mapped essentially one-to-one onto the parameters of
the describing model. The proposed methods mainly
focused on various optimization algorithms, but also on
support techniques, including methods for circumventing
the time consuming numerical integration of systems of
differential equations, smoothing overly noisy data,
estimating slopes of time series, reducing the
complexity of the inference task, and constraining the
parameter search space. Other methods targeted issues
of data preprocessing, detection and amelioration of
model redundancy, and model-free or model-based
structure identification. The total number of proposed
methods and their applications has by now exceeded one
hundred, which makes it difficult for the newcomer, as
well as the expert, to gain a comprehensive overview of
available algorithmic options and limitations. To
facilitate the entry into the field of inverse modeling
within BST and related modeling areas, the article
presented here reviews the field and proposes an
operational work-flow that guides the user through the
estimation process, identifies possibly problematic
steps, and suggests corresponding solutions based on
the specific characteristics of the various available
algorithms. The article concludes with a discussion of
the present state of the art and with a description of
open questions.",
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notes = "GP included in Survey",
- }
Genetic Programming entries for
I-Chun Chou
Eberhard O Voit
Citations