REFERENCES
- Brown , D. M. , Wilson , M. R. , MacNee , W. , Stone , V. and Donaldson , K. 2001 . Size-Dependent Proinflammatory Effects of Ultrafine Polystyrene Particles: A Role for Surface Area and Oxidative Stress in the Enhanced Activity of Ultrafines . Toxicol. Appl. Pharm. , 175 : 191 – 199 .
- Buzorius , G. 2001 . Cut-off Sizes and Time Constants of the CPC TSI 3010 Operating at 1–3 lpm Flow Rates . Aerosol Sci. Technol. , 35 : 577 – 585 .
- Chahine , M. T. 1968 . Determination of Temperature Profile in an Atmosphere from its Outgoing Radiation . J. Opt. Soc. Am. , 58 : 1634 – 1637 .
- Collins , D. R. , Cocker , D. R. , Flagan , R. C. and Seinfeld , J. H. 2004 . The Scanning DMA Transfer Function . Aerosol Sci. Technol , 38 : 833 – 850 .
- Collins , D. R. , Flagan , R. C. and Seinfeld , J. H. 2002 . Improved Inversion of Scanning DMA Data . Aerosol Sci. Technol , 36 : 1 – 9 .
- Dempster , A. P. , Laird , N. M. and Rubin , D. B. 1977 . Maximum Likelihood from Incomplete Data via the EM Algorithm . J. Roy. Stat. Soc. B , 39 : 1 – 38 .
- Dubey , P. and Dhaniyala , S. 2008 . Analysis of Scanning DMA Transfer Function . Aerosol Sci. Technol , 42 : 544 – 555 .
- Dubey , P. and Dhaniyala , S. 2011 . A New Approach to Calculate Diffusional Transfer Functions of Scanning DMAs . Aerosol Sci. Technol , 45 : 1031 – 1040 .
- Flagan , R. C. 1998 . History of Electrical Aerosol Measurements . Aerosol Sci. Technol. , 28 ( 4 ) : 301 – 380 .
- Hagwood , C. , Sivathanu , Y. and Mulholland , G. 1999 . The DMA Transfer Function with Brownian Motion a Trajectory/Monte-Carlo Approach . Aerosol Sci. Technol. , 30 : 40 – 61 .
- Hansen , P. C. 1997 . Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion , Philadelphia : SIAM .
- Hansen , P. C. and O’Leary , D. P. 1993 . The Use of the L-Curve in the Regularization of Discrete Ill Posed Problem . SIAM J. Sci. Comp. , 14 : 1487 – 1503 .
- Hogan , C. J. , Li , L. , Biswas , P. and Chen , D. R. 2009 . Estimating Aerosol Particle Charging Parameters Using a Bayesian Inversion Technique . J. Aerosol Sci. , 40 : 295 – 306 .
- Hopke , P. K. and Paatero , P. 1994 . Extreme Value Estimation Applied to Aerosol Size Distributions and Related Environmental Problems . J. Res. Inst. Stand. Technol. , 99 : 361 – 366 .
- Kaipio , J. and Somersalo , E. 2005 . Statistical and Computational Inverse Problems . Applied Mathematical Sciences , 160) doi: 10.1007/b138659
- Kinney , P. D. , D. Y. H. , Pui , Mulholland , G. W. and Bryner , N. P. 1991 . Use of the Electrostatic Classification Method to Size 0.1 Mu-M Srm Particles - a Feasibility Study . J. Res. Natl. Inst. Stan. Technol. , 96 : 147 – 176 .
- Knutson , E. O. and Whitby , K. T. 1975 . Aerosol Classification by Electrical Mobility: Apparatus Theory and Applications . J. Aerosol Sci. , 6 : 443 – 451 .
- Lawson , C. L. and Hanson , R. J. 1974 . Solving Least Squares Problems , Englewood Cliffs , NJ : Prentice-Hall .
- Lemmetty , M. , Marjamäki , M. and Keskinen , J. 2005 . The ELPI Response and Data Reduction II: Properties of Kernels and Data Inversion . Aerosol Sci. Technol. , 39 : 583 – 595 .
- Lloyd , J. J. , Taylor , C. J. , Lawson , R. J. and Shields , R. A. 1997 . Comparison of Local and Global Optimization Techniques for Diffusion Battery Data Analysis . J. Aerosol Sci. , 28 : 821 – 831 .
- Markowski , G. R. 1987 . Improving Twomey's Algorithm for Inversion of Aerosol Measurement Data . Aerosol Sci. Technol , 7 : 127 – 141 .
- Meyer , K. 1985 . Maximum Likelihood Estimation of Variance Components for a Multivariate Mixed Model with Equal Design Matrices . Biometrics , 41 : 153 – 165 .
- Nowak , R. and Kolaczyk , E. 2000 . A Multiscale Statistical Framework for Poisson Inverse Problems . IEEE Trans. Inf. Theory , 46 : 1811 – 1825 .
- Owen , M. , Mulholland , G. and Guthrie , W. 2012 . Condensation Particle Counter Proportionality Calibration from 1 Particle.cm(-3) to 10(4) Particles.cm(-3) . Aerosol Sci. Technol , 46 : 444 – 450 .
- Ramachandran , G. and Kandlikar , M. 1996 . Bayesian Analysis for Inversion of Aerosol Size Distribution Data . J. Aerosol Sci. , 27 : 1099 – 1112 .
- Russell , L. M. , Flagan , R. C. and Seinfeld , J. H. 1995 . Asymmetric Instrument Response Resulting from Mixing Effects in Accelerated DMA-CPC Measurements . Aerosol Sci. Technol , 23 : 491 – 509 .
- Seinfeld , J. H. and Pandis , S. N. 2006 . Atmospheric Chemistry and Physics: From Air Pollution to Climate Change (2nd ed.) , Wiley-Interscience, New Jersey .
- Stolzenburg , M. R. 1988 . “ An Ultrafine Aerosol Size Distribution Measuring System ” . Minneapolis , MN : University of Minnesota . Ph.D. thesis
- Stolzenburg , M. R. and McMurry , P. 2008 . Equations Governing Single and Tandem DMA Configurations and a New Lognormal Approximation to the Transfer Function . Aerosol Sci. Technol , 42 : 421 – 432 .
- Talukdar , S. S. and Swihart , M. T. 2004 . An Improved Data Inversion Program for Obtaining Aerosol Size Distribution from Scanning Differential Mobility Analyzer Data . Aerosol Sci. Technol , 37 : 145 – 161 .
- Twomey , S. 1963 . On the Numerical Solution of Fredholm Integral Equation of First Kind by the Inversion of the Linear System Produced by Quadrature . J. ACM , 10 : 97 – 101 .
- Twomey , S. 1975 . Comparison of Constrained Linear Inversion and an Iterative Nonlinear Algorithm Applied to the Indirect Estimation of Aerosol Size Distribution . J. Comput. Phys. , 18 : 188 – 200 .
- Wang , S. C. and Flagan , R. C. 1990 . Scanning Electrical Mobility Spectrometer . Aerosol Sci. Technol , 13 : 230 – 240 .
- Winklmayr , W. , Wang , H. and John , W. 1990 . Adaptation of the Twomey Algorithm to the Inversion of the Cascade Impactor Data . Aerosol Sci. Technol , 13 : 322 – 331 .
- Wolfenbarger , J. K. and Seinfeld , J. H. 1991 . Regularized Solutions to the Aerosol Data Inversion Problem . SIAM J. Sci. Stat. Comput. , 12 : 342 – 361 .