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@Article{deSolve,
title = {Solving Differential Equations in R: Package deSolve},
author = {Karline Soetaert and Thomas Petzoldt and R. Woodrow Setzer},
journal = {Journal of Statistical Software},
volume = {33},
number = {9},
pages = {1--25},
year = {2010},
coden = {JSSOBK},
issn = {1548-7660},
url = {http://www.jstatsoft.org/v33/i09},
keywords = {ordinary differential equations, partial differential equations, differential algebraic equations, initial value problems, R, FORTRAN, C},
}
@Article{FME,
title = {Inverse Modelling, Sensitivity and Monte Carlo Analysis in
{R} Using Package {FME}},
author = {Karline Soetaert and Thomas Petzoldt},
journal = {Journal of Statistical Software},
year = {2010},
volume = {33},
number = {3},
pages = {1--28},
url = {http://www.jstatsoft.org/v33/i03/},
}
@Manual{scaRabee,
title = {\pkg{scaRabee}: Optimization Toolkit for Pharmacokinetic-Pharmacodynamic Models},
author = {Sebastien Bihorel},
year = {2014},
note = {\proglang{R}~package version~1.1-3},
url = {http://CRAN.R-project.org/package=scaRabee},
}
@Manual{mkin,
title = {\pkg{mkin}: Kinetic Evaluation of Chemical Degradation Data},
author = {Johannes Ranke and Katrin Lindenberger and René Lehmann},
year = {2016},
note = {\proglang{R}~package version~0.9.44},
url = {http://CRAN.R-project.org/package=mkin},
}
@Manual{nlmeODE,
title = {\pkg{nlmeODE}: Non-Linear Mixed-Effects Modelling in \pkg{nlme} Using Differential Equations},
author = {Christoffer W. Tornoe},
year = {2012},
note = {\proglang{R}~package version~1.1},
url = {http://CRAN.R-project.org/package=nlmeODE},
}
@article{raue2009structural,
title={Structural and Practical Identifiability Analysis of Partially Observed Dynamical Models by Exploiting the Profile Likelihood},
author={Raue, Andreas and Kreutz, Clemens and Maiwald, Thomas and Bachmann, Julie and Schilling, Marcel and Klingmüller, Ursula and Timmer, Jens},
journal={Bioinformatics},
volume={25},
number={15},
pages={1923--1929},
year={2009},
publisher={Oxford Univ Press}
}
@article{raue2011addressing,
title={Addressing Parameter Identifiability by Model-Based Experimentation},
author={Raue, Andreas and Kreutz, Clemens and Maiwald, Thomas and Klingmüller, Ursula and Timmer, Jens},
journal={IET Systems Biology},
volume={5},
number={2},
pages={120--130},
year={2011},
publisher={IET}
}
@article{maiwald2016driving,
title={Driving the Model to Its Limit: Profile Likelihood Based Model Reduction},
author={Maiwald, Tim and Hass, Helge and Steiert, Bernhard and Vanlier, Joep and Engesser, Raphael and Raue, Andreas and Kipkeew, Friederike and Bock, Hans H and Kaschek, Daniel and Kreutz, Clemens and Timmer, Jens},
journal={PloS ONE},
volume={11},
number={9},
pages={e0162366},
year={2016},
publisher={Public Library of Science}
}
@article{raue2013lessons,
title={Lessons Learned from Quantitative Dynamical Modeling in Systems Biology},
author={Raue, Andreas and Schilling, Marcel and Bachmann, Julie and Matteson, Andrew and Schelker, Max and Kaschek, Daniel and Hug, Sabine and Kreutz, Clemens and Harms, Brian D and Theis, Fabian J and Klingmüller, Ursula and Timmer, Jens},
journal={PloS ONE},
volume={8},
number={9},
pages={e74335},
year={2013},
publisher={Public Library of Science}
}
@article{merkt2015higher,
title={Higher-Order Lie Symmetries in Identifiability and Predictability Analysis of Dynamic Models},
author={Merkt, Benjamin and Timmer, Jens and Kaschek, Daniel},
journal={Physical Review E},
volume={92},
number={1},
pages={012920},
year={2015},
publisher={APS}
}
@article{rosenblatt2016customized,
title={Customized Steady-State Constraints for Parameter Estimation in Non-Linear Ordinary Differential Equation Models},
author={Rosenblatt, Marcus and Timmer, Jens and Kaschek, Daniel},
journal={Frontiers in Cell and Developmental Biology},
volume={4},
year={2016},
publisher={Frontiers Media SA}
}
@article{squire1998using,
title={Using Complex Variables to Estimate Derivatives of Real Functions},
author={Squire, William and Trapp, George},
journal={SIAM Review},
volume={40},
number={1},
pages={110--112},
year={1998},
publisher={SIAM}
}
@article{raue2013joining,
title={Joining Forces of Bayesian and Frequentist Methodology: A Study for Inference in the Presence of Non-Identifiability},
author={Raue, Andreas and Kreutz, Clemens and Theis, Fabian Joachim and Timmer, Jens},
journal={Phil. Trans. R. Soc. A},
volume={371},
number={1984},
pages={20110544},
year={2013},
publisher={The Royal Society}
}
@article{kreutz2013profile,
title={Profile Likelihood in Systems Biology},
author={Kreutz, Clemens and Raue, Andreas and Kaschek, Daniel and Timmer, Jens},
journal={FEBS Journal},
volume={280},
number={11},
pages={2564--2571},
year={2013},
publisher={Wiley Online Library}
}
@article{kreutz2012likelihood,
title={Likelihood Based Observability Analysis and Confidence Intervals for Predictions of Dynamic Models},
author={Kreutz, Clemens and Raue, Andreas and Timmer, Jens},
journal={BMC Systems Biology},
volume={6},
number={1},
pages={120},
year={2012},
publisher={BioMed Central Ltd}
}
@article{murphy2000profile,
title={On Profile Likelihood},
author={Murphy, Susan A and Van der Vaart, Aad W},
journal={Journal of the American Statistical Association},
volume={95},
number={450},
pages={449--465},
year={2000},
publisher={Taylor \& Francis Group}
}
@book{azzalini1996statistical,
title={Statistical Inference Based on the Likelihood},
author={Azzalini, Adelchi},
volume={68},
year={1996},
publisher={CRC Press}
}
@article{wright1999numerical,
title={Numerical Optimization},
author={Wright, Stephen and Nocedal, Jorge},
journal={Springer Science},
volume={35},
pages={67--68},
year={1999}
}
@article{hass2016fast,
title={Fast Integration-Based Prediction Bands for Ordinary Differential Equation Models},
author={Hass, Helge and Kreutz, Clemens and Timmer, Jens and Kaschek, Daniel},
journal={Bioinformatics},
volume={32},
number={8},
pages={1204--1210},
year={2016},
publisher={Oxford Univ Press}
}
@book{press1996numerical,
title={Numerical Recipes in C},
author={Press, William H and Teukolsky, Saul A and Vetterling, William T and Flannery, Brian P},
volume={2},
year={1996},
publisher={Cambridge University Press Cambridge}
}