Publications

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Petzold LR, Bales BB, Alkire RC, Bezzola A.  2014.  Numerical Scaling Studies of Kinetically-Limited Electrochemical Nucleation and Growth with Accelerated Stochastic Simulations. JOURNAL OF THE ELECTROCHEMICAL SOCIETY. 161:E3001-E3008.
Petzold L, Zhang Y, Jiang R.  2017.  Survival Topic Models for Predicting Outcomes for Trauma Patients. IEEE International Conference on Data Engineering. :1497-1504.
Petzold LR, Hellander A, Gillespie DT.  2013.  Perspective: Stochastic algorithms for chemical kinetics. JOURNAL OF CHEMICAL PHYSICS. 138
Petzold L, Cohen M, Torshizi ADoostparas.  2017.  Multivariate soft repulsive system identification for constructing rule-based classification systems: Application to trauma clinical data. NEUROCOMPUTING. 245:77-85.
Petzold L, Buoni M.  2010.  An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies. JOURNAL OF COMPUTATIONAL PHYSICS. 229:379-398.
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, Pourzanjani A, Herzog ED.  2015.  On the Inference of Functional Circadian Networks Using Granger Causality. PLOS ONE. 10
Petzold L, Cao Y.  2004.  A posteriori error estimation and global error control for ordinary differential equations by the adjoint method. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 26:359-374.
Petzold L, Cao Y, Li S, Serban R.  2006.  Sensitivity analysis of differential-algebraic equations and partial differential equations. COMPUTERS & CHEMICAL ENGINEERING. 30:1553-1559.
Petzold L, Drawert B, Trogdon M, Hellander S, Yi T-M.  2016.  A framework for discrete stochastic simulation on 3D moving boundary domains. JOURNAL OF CHEMICAL PHYSICS. 145
Petzold L, Hellander S, Hellander A.  2012.  Reaction-diffusion master equation in the microscopic limit. PHYSICAL REVIEW E. 85
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, 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.
Petzold LR, Serban R, Homescu C.  2007.  Error estimation for reduced-order models of dynamical systems. SIAM REVIEW. 49:277-299.
Petzold L, Bhattacharjee K.  2014.  Probabilistic User-Level Opinion Detection on Online Social Networks. Lecture Notes in Computer Science. 8851:309-325.
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, 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 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, Fu J, Li H, Wu S.  2012.  Automatic identification of model reductions for discrete stochastic simulation. JOURNAL OF CHEMICAL PHYSICS. 137
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 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 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 LR, Gillespie DT.  2003.  Improved leap-size selection for accelerated stochastic simulation. JOURNAL OF CHEMICAL PHYSICS. 119:8229-8234.
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.

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