Fredholm Integral Equations in Biophysical Data Analysis

作者: P. Schuck

DOI: 10.1007/978-3-642-14998-6_87

关键词: Applied mathematicsInverse problemAnalytical UltracentrifugationPrinciple of maximum entropyMathematicsIntegral equationTikhonov regularizationFredholm integral equationRegularization (mathematics)Mathematical optimizationBayesian probability

摘要: In the last decade, abundant availability of computational resources has allowed for significant improvements in interpretation data traditional disciplines physical biochemistry. particular, there are many examples where fitted with a model describing distribution parameters, taking form Fredholm integral equation. Algorithms traditionally applied image analysis have proven highly useful to solve corresponding ill-posed inverse problem. Two presented from optical biosensing and sedimentation velocity analytical ultracentrifugation. both examples, standard regularization techniques such as Tikhonov maximum entropy applied, conjunction non-negativity constraints. Further, Bayesian adaptations functional possible that incorporate available prior knowledge on system under study. Practical limitations problems will be discussed.

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