# David F. Anderson - Publications

## Affiliations: | 2003-2005 | Duke University, Durham, NC |

Year | Citation | Score | |||
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2016 | Anderson DF, Higham DJ, Sun Y. Multilevel Monte Carlo for stoch astic differential equations with small noise Siam Journal On Numerical Analysis. 54: 505-529. DOI: 10.1137/15M1024664 |
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2015 | Anderson DF, Craciun G, Gopalkrishnan M, Wiuf C. Lyapunov Functions, Stationary Distributions, and Non-equilibrium Potential for Reaction Networks. Bulletin of Mathematical Biology. 77: 1744-67. PMID 26376889 DOI: 10.1007/s11538-015-0102-8 |
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2015 | Wolf ES, Anderson DF. Hybrid pathwise sensitivity methods for discrete stochastic models of chemical reaction systems. The Journal of Chemical Physics. 142: 034103. PMID 25612685 DOI: 10.1063/1.4905332 |
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2015 | Anderson DF, Ermentrout B, Thomas PJ. Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics. Journal of Computational Neuroscience. 38: 67-82. PMID 25408289 DOI: 10.1007/s10827-014-0528-2 |
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2014 | Anderson DF, Enciso GA, Johnston MD. Stochastic analysis of biochemical reaction networks with absolute concentration robustness. Journal of the Royal Society, Interface / the Royal Society. 11: 20130943. PMID 24522780 DOI: 10.1098/rsif.2013.0943 |
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2014 | Anderson DF, Higham DJ, Sun Y. Complexity of multilevel Monte Carlo Tau-leaping Siam Journal On Numerical Analysis. 52: 3106-3127. DOI: 10.1137/130940761 |
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2014 | Anderson DF, Koyama M. An asymptotic relationship between coupling methods for stochastically modeled population processes Ima Journal of Numerical Analysis. 35: 1757-1778. DOI: 10.1093/imanum/dru044 |
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2013 | Srivastava R, Anderson DF, Rawlings JB. Comparison of finite difference based methods to obtain sensitivities of stochastic chemical kinetic models. The Journal of Chemical Physics. 138: 074110. PMID 23445000 DOI: 10.1063/1.4790650 |
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2012 | Wolf ES, Anderson DF. A finite difference method for estimating second order parameter sensitivities of discrete stochastic chemical reaction networks. The Journal of Chemical Physics. 137: 224112. PMID 23248992 DOI: 10.1063/1.4770052 |
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2012 | Anderson DF, Koyama M. Weak error analysis of numerical methods for stochastic models of population processes Multiscale Modeling and Simulation. 10: 1493-1524. DOI: 10.1137/110849699 |
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2012 | Anderson DF. An efficient finite difference method for parameter sensitivities of continuous time Markov chains Siam Journal On Numerical Analysis. 50: 2237-2258. DOI: 10.1137/110849079 |
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2012 | Anderson DF, Higham DJ. Multilevel Monte Carlo for continuous time Markov Chains, with applications in biochemical kinetics Multiscale Modeling and Simulation. 10: 146-179. DOI: 10.1137/110840546 |
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2011 | Anderson DF, Ganguly A, Kurtz TG. Error analysis of tau-leap simulation methods Annals of Applied Probability. 21: 2226-2262. DOI: 10.1214/10-AAP756 |
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2011 | Anderson DF. A proof of the Global Attractor Conjecture in the single linkage class case Siam Journal On Applied Mathematics. 71: 1487-1508. DOI: 10.1137/11082631X |
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2011 | Anderson DF. Boundedness of trajectories for weakly reversible, single linkage class reaction systems Journal of Mathematical Chemistry. 49: 2275-2290. DOI: 10.1007/s10910-011-9886-4 |
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2011 | Anderson DF, Mattingly JC. A weak trapezoidal method for a class of stochastic differential equations Communications in Mathematical Sciences. 9: 301-318. |
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2010 | Anderson DF, Craciun G, Kurtz TG. Product-form stationary distributions for deficiency zero chemical reaction networks. Bulletin of Mathematical Biology. 72: 1947-70. PMID 20306147 DOI: 10.1007/s11538-010-9517-4 |
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2010 | Anderson DF, Shiu A. The dynamics of weakly reversible population processes near facets Siam Journal On Applied Mathematics. 70: 1840-1858. DOI: 10.1137/090764098 |
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2008 | Anderson DF. Incorporating postleap checks in tau-leaping. The Journal of Chemical Physics. 128: 054103. PMID 18266441 DOI: 10.1063/1.2819665 |
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2008 | Anderson DF. Global asymptotic stability for a class of nonlinear chemical equations Siam Journal On Applied Mathematics. 68: 1464-1476. DOI: 10.1137/070698282 |
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2007 | Anderson DF, Mattingly JC. Propagation of fluctuations in biochemical systems, II: Nonlinear chains. Iet Systems Biology. 1: 313-25. PMID 18203578 DOI: 10.1049/iet-syb:20060063 |
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2007 | Anderson DF. A modified next reaction method for simulating chemical systems with time dependent propensities and delays. The Journal of Chemical Physics. 127: 214107. PMID 18067349 DOI: 10.1063/1.2799998 |
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2007 | Anderson DF, Mattingly JC, Nijhout HF, Reed MC. Propagation of fluctuations in biochemical systems, I: linear SSC networks. Bulletin of Mathematical Biology. 69: 1791-813. PMID 17457656 DOI: 10.1007/s11538-007-9192-2 |
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2006 | Nijhout HF, Reed MC, Anderson DF, Mattingly JC, James SJ, Ulrich CM. Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation reaction rate. Epigenetics : Official Journal of the Dna Methylation Society. 1: 81-7. PMID 17998813 DOI: 10.4161/epi.1.2.2677 |
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