Publications

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Zhou, L., M. Su, B. Benyahia, A. Singh, P. I. Barton, B. L. Trout, A. S. Myerson, and R. D. Braatz, "Mathematical modeling and design of layer crystallization in a concentric annulus with and without recirculation", AIChE Journal, vol. 59, issue 4, pp. 1308-1321, 2013. Abstract
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Yunt, M., B. Chachuat, A. Mitsos, and P. I. Barton, "Designing man-portable power generation systems for varying power demand", AIChE Journal, vol. 54, no. 5, pp. 1254-1269, 2008. Abstract
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Wilkins, K. A., P. I. Barton, and B. Tidor, "The Per2 Negative Feedback Loop Sets the Period in the Mammalian Circadian Clock Mechanism", PLoS Comput Biol, vol. 3, no. 12: Public Library of Science, pp. e242, 12, 2007. Abstract
Wilkins, K. A., B. Tidor, J. White, and P. I. Barton, "Sensitivity Analysis for Oscillating Dynamical Systems", SIAM Journal on Scientific Computing, vol. 31, no. 4: SIAM, pp. 2706-2732, 2009. Abstract
Wechsung, A., and P. I. Barton, "Global optimization of bounded factorable functions with discontinuities", Journal of Global Optimization: Springer US, In Press. Abstract
Wechsung, A., A. Aspelund, T. Gundersen, and P. I. Barton, "Synthesis of heat exchanger networks at subambient conditions with compression and expansion of process streams", AIChE Journal, vol. 57, issue 8, pp. 2090-2108, 2011. Abstract
Wechsung, A., S. D. Schaber, and P. I. Barton, "The cluster problem revisited", Journal of Global Optimization: Springer US, In Press. Abstract
Watzdorf, V. R., U. G. Naef, P. I. Barton, and C. C. Pantelides, "Deterministic and stochastic simulation of batch/semicontinuous processes", Computers & Chemical Engineering, vol. 18, pp. S343 - S347, 1994. Abstract
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Tolsma, J. E., and P. I. Barton, "Hidden Discontinuities and Parametric Sensitivity Calculations", SIAM Journal on Scientific Computing, vol. 23, no. 6: SIAM, pp. 1861-1874, 2002. Abstract
Tolsma, J. E., and P. I. Barton, "Efficient Calculation of Sparse Jacobians", SIAM Journal on Scientific Computing, vol. 20, no. 6: SIAM, pp. 2282-2296, 1999. Abstract
Tolsma, J. E., and P. I. Barton, "Computation of heteroazeotropes. Part I: Theory", Chemical Engineering Science, vol. 55, no. 18, pp. 3817 - 3834, 2000. Abstract
Tolsma, J. E., and P. I. Barton, "Computation of heteroazeotropes", Computers & Chemical Engineering, vol. 22, no. Supplement 1, pp. S61 - S68, 1998. Abstract
Tolsma, J. E., and P. I. Barton, "DAEPACK: An Open Modeling Environment for Legacy Models", Industrial & Engineering Chemistry Research, vol. 39, no. 6, pp. 1826-1839, 2000. Abstract
Tolsma, J. E., and P. I. Barton, "On computational differentiation", Computers & Chemical Engineering, vol. 22, no. 4-5, pp. 475 - 490, 1998. Abstract
Tolsma, J. E., J. A. Clabaugh, and P. I. Barton, "Symbolic Incorporation of External Procedures into Process Modeling Environments", Industrial & Engineeering Chemistry Research, vol. 41, no. 16, pp. 3867-3876, 2002. Abstract
Tolsma, J. E., and P. I. Barton, "Computation of heteroazeotropes. Part II: efficient calculation of changes in phase equilibrium structure", Chemical Engineering Science, vol. 55, no. 18, pp. 3835 - 3853, 2000. Abstract
Tolsma, J. E., and P. I. Barton, Software Architectures for Computer Aided Process Engineering, , vol. 11: Elsevier, pp. 127-164, 2002.
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Sundaramoorthy, A., X. Li, J. M. B. Evans, and P. I. Barton, "Capacity Planning under Clinical Trials Uncertainty in Continuous Pharmaceutical Manufacturing, 2: Solution Method", Industrial & Engineering Chemistry Research, vol. 51, issue 42, pp. 13703-13711, 2012. Abstract
Sundaramoorthy, A., J. M. B. Evans, and P. I. Barton, "Capacity Planning under Clinical Trials Uncertainty in Continuous Pharmaceutical Manufacturing, 1: Mathematical Framework", Industrial & Engineering Chemistry Research, vol. 51, issue 42, pp. 13692-13702, 2012. Abstract
Stuber, M. D., and P. I. Barton, "Robust simulation and design using semi-infinite programs with implicit functions", International Journal of Reliability and Safety, vol. 5, issue 3/4, pp. 378-397, 2011. Abstract
Stuber, M. D., V. Kumar, and P. I. Barton, "Nonsmooth exclusion test for finding all solutions of nonlinear equations", BIT Numerical Mathematics, vol. 50, issue 4: Springer Netherlands, pp. 885-917, 2010. Abstract
Solis, E. O. P., P. I. Barton, and G. Stephanopoulos, "Controlled Formation of Nanostructures with Desired Geometries. 1. Robust Static Structures", Industrial & Engineeering Chemistry Research, vol. 49, issue 17, pp. 7728 - 7745, 2010. Abstract
Solis, E. O. P., P. I. Barton, and G. Stephanopoulos, "Controlled Formation of Nanostructures with Desired Geometries. 2. Robust Dynamic Paths", Industrial & Engineeering Chemistry Research, vol. 49, issue 17, pp. 7746 - 7757, 2010. Abstract
Singer, A. B., and P. I. Barton, "Global Optimization with Nonlinear Ordinary Differential Equations", Journal of Global Optimization, vol. 34, no. 2, pp. 159-190, 2006. Abstract
Singer, A. B., J. W. Taylor, P. I. Barton, and W. H. Green, "Global Dynamic Optimization for Parameter Estimation in Chemical Kinetics", The Journal of Physical Chemistry A, vol. 110, no. 3, pp. 971-976, 2006. Abstract