Biexponential fitting for noisy data with error propagation

[1]  P. Bettotti,et al.  Dynamics of Hydration of Nanocellulose Films , 2016 .

[2]  Mathias Nilsson,et al.  Biexponential fitting of diffusion-ordered NMR data: practicalities and limitations. , 2006, Analytical chemistry.

[3]  Mark K Transtrum,et al.  Why are nonlinear fits to data so challenging? , 2009, Physical review letters.

[4]  Debasis Kundu,et al.  FITTING A SUM OF EXPONENTIALS TO EQUISPACED DATA , 2016 .

[5]  Martin Gruebele,et al.  Folding at the speed limit , 2003, Nature.

[6]  Sebastiano Barbieri,et al.  Impact of the calculation algorithm on biexponential fitting of diffusion‐weighted MRI in upper abdominal organs , 2016, Magnetic resonance in medicine.

[7]  Detlev Schild,et al.  Fast and Accurate Fitting and Filtering of Noisy Exponentials in Legendre Space , 2014, PloS one.

[8]  M. Fukushima,et al.  Erratum to Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints , 2005 .

[9]  R. Tsien,et al.  On/off blinking and switching behaviour of single molecules of green fluorescent protein , 1997, Nature.

[10]  A simple integral method for system identification , 1971 .

[11]  Uwe Oelfke,et al.  Principal component analysis fosr fast and model-free denoising of multi b-value diffusion-weighted MR images , 2019, Physics in medicine and biology.

[12]  R. Dror,et al.  Structural basis for σ1 receptor ligand recognition , 2018, Nature Structural & Molecular Biology.

[13]  Samir Kumar Pal,et al.  Biological water at the protein surface: Dynamical solvation probed directly with femtosecond resolution , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[14]  M. Morris,et al.  Competition between two enzymes for substrate removal in liver: Modulating effects due to substrate recruitment of hepatocyte activity , 1987, Journal of Pharmacokinetics and Biopharmaceutics.

[15]  J. Ellenberg,et al.  Mapping the dynamic organization of the nuclear pore complex inside single living cells , 2004, Nature Cell Biology.

[16]  W. Mali,et al.  Pre-transplantation assessment of renal viability with 31P magnetic resonance spectroscopy. , 1994, Kidney international.

[17]  B. De Moor,et al.  The fit of a sum of exponentials to noisy data , 1987 .

[18]  J. E. Diamessis,et al.  Least-square-exponential approximation , 1972 .

[19]  P. Friend,et al.  Liver and kidney preservation by perfusion , 2002, The Lancet.

[20]  Georgios S. Ioannidis,et al.  Inverse Laplace transform and multiexponential fitting analysis of T2 relaxometry data: a phantom study with aqueous and fat containing samples , 2020, European Radiology Experimental.

[21]  A. Rice,et al.  Lewis Carroll's Condensation Method for Evaluating Determinants , 2006 .

[22]  M. A. Payne,et al.  Biphasic Binding Kinetics between FepA and Its Ligands* , 1997, The Journal of Biological Chemistry.

[23]  F. Abeles Dodgson condensation : The historical and mathematical development of an experimental method , 2008 .

[24]  Ravinder R Regatte,et al.  Bi-exponential 3D-T1ρ mapping of whole brain at 3 T , 2018, Scientific Reports.

[25]  A. Corazza,et al.  Biphasic behavior of the kinetics of 31P-containing metabolites in ischemic porcine kidneys. , 2003, Transplantation proceedings.

[26]  Mozow,et al.  Ischemia/Reperfusion. , 2016, Comprehensive Physiology.

[27]  Dirk J. Faber,et al.  Evaluation of multi-exponential curve fitting analysis of oxygen-quenched phosphorescence decay traces for recovering microvascular oxygen tension histograms , 2010, Medical & Biological Engineering & Computing.

[28]  Carl Frieden Protein oligomerization as a metabolic control mechanism: Application to apoE , 2019, Protein science : a publication of the Protein Society.

[29]  J. Pujol The solution of nonlinear inverse problems and the Levenberg-Marquardt method , 2007 .