Publications

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Petzold L, Doyle, III F, Webb ABrooke, Herzog E, Taylor S.  2011.  The origins and consequences of heterogeneous neurons in a molecular oscillator model of the mammalian circadian clock. 25
Petzold L, Hellander S, Hellander A.  2012.  Reaction-diffusion master equation in the microscopic limit. PHYSICAL REVIEW E. 85
Petzold LR, Serban R, Homescu C.  2007.  Error estimation for reduced-order models of dynamical systems. SIAM REVIEW. 49:277-299.
Petzold L, Krintz C.  2012.  Stochastic Simulation Service: Towards an Integrated Development Environment for Modeling and Simulation of Stochastic Biochemical Systems. :2303-2324.
Petzold L, Drawert B, Khammash M, Yi T-M, Lawson MJ.  2013.  Spatial Stochastic Dynamics Enable Robust Cell Polarization. PLOS COMPUTATIONAL BIOLOGY. 9
Petzold L, Li ST, Zhu WJ.  2000.  Sensitivity analysis of differential-algebraic equations: A comparison of methods on a special problem. APPLIED NUMERICAL MATHEMATICS. 32:161-174.
Petzold L, Bhattacharjee K.  2014.  Probabilistic User-Level Opinion Detection on Online Social Networks. Lecture Notes in Computer Science. 8851:309-325.
Petzold L, Meinhart CD, Mezic I, Zhang YT, Chen H, MacDonald NC.  2004.  SOI processing of a ring electrokinetic chaotic micromixer. :292-295.
Petzold LR, Simeon B, Serban R.  2009.  A MODEL OF MACROSCALE DEFORMATION AND MICROVIBRATION IN SKELETAL MUSCLE TISSUE. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE. 43:805-823.
Petzold L, Li ST.  2000.  Software and algorithms for sensitivity analysis of large-scale differential algebraic systems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 125:131-145.
Petzold L, Fu J, Li H, Wu S.  2012.  Automatic identification of model reductions for discrete stochastic simulation. JOURNAL OF CHEMICAL PHYSICS. 137
Petzold L, Cohen M, Torshizi ADoostparas.  2015.  Direct Higher Order Fuzzy Rule-based Classification System: Application in Mortality Prediction. IEEE International Conference on Bioinformatics and Biomedicine-BIBM. :846-852.
Petzold LR, Lampoudi S, Hulbert RR, Cotter PA, Williams CL.  2006.  The development of a model of a bacterial phosphorelay signal transduction system. :66-66.
Petzold LR, Gillespie DT.  2003.  Improved leap-size selection for accelerated stochastic simulation. JOURNAL OF CHEMICAL PHYSICS. 119:8229-8234.
Petzold L, Sturrock M, Chaplain MAJ, Aldakheel S, Hellander A.  2014.  The Role of Dimerisation and Nuclear Transport in the Hes1 Gene Regulatory Network. BULLETIN OF MATHEMATICAL BIOLOGY. 76:766-798.
Petzold L, Cao Y.  2004.  An error estimate for matrix equations. APPLIED NUMERICAL MATHEMATICS. 50:395-407.
Petzold L, Drawert B, Hellander A, Lawson MJ.  2014.  Local error estimates for adaptive simulation of the reaction-diffusion master equation via operator splitting. JOURNAL OF COMPUTATIONAL PHYSICS. 266:89-100.
Petzold LR, Zhu WJ.  1998.  Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type. APPLIED NUMERICAL MATHEMATICS. 27:309-325.
Petzold L, Drawert B, Khammash M, Lawson MJ.  2010.  The diffusive finite state projection algorithm for efficient simulation of the stochastic reaction-diffusion master equation. JOURNAL OF CHEMICAL PHYSICS. 132
Petzold LR, Cao Y, Gillespie DT.  2005.  The slow-scale stochastic simulation algorithm. JOURNAL OF CHEMICAL PHYSICS. 122
Petzold L., Buoni M..  2009.  An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies. :296-302.
Petzold LR, Homescu C, Serban R.  2007.  The effect of problem perturbations on nonlinear dynamical systems and their reduced-order models. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 29:2621-2643.
Petzold L, Li H.  2010.  EFFICIENT PARALLELIZATION OF THE STOCHASTIC SIMULATION ALGORITHM FOR CHEMICALLY REACTING SYSTEMS ON THE GRAPHICS PROCESSING UNIT. INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS. 24:107-116.
Petzold L, Simeon B, Zheng Z.  2008.  A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems. JOURNAL OF COMPUTATIONAL PHYSICS. 227:5272-5285.
Petzold L, Li H, Moehlis J, Kolpas A.  2009.  Parallel simulation for a fish schooling model on a general-purpose graphics processing unit. CONCURRENCY AND COMPUTATION-PRACTICE & EXPERIENCE. 21:725-737.

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