Free Access
Math. Model. Nat. Phenom.
Volume 7, Number 5, 2012
Page(s) 7 - 23
Published online 17 October 2012
  1. A.S. Ackleh, H.T. Banks, K. Deng. A finite difference approximation for a coupled system of nonlinear size-structured populations. Nonlinear Analysis, 50 (2002), 727–748. [CrossRef] [MathSciNet]
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  8. H.T. Banks, L.W. Botsford, F. Kappel, C. Wang. Modeling and estimation in size structured population models. LCDS-CCS Report 87-13, Brown University ; Proceedings 2nd Course on Mathematical Ecology, (Trieste, December 8-12, 1986) World Press, Singapore, 1988, 521–541.
  9. H.T. Banks, F. Charles, M. Doumic, K.L. Sutton, W.C. Thompson. Label structured cell proliferation models. Appl. Math. Letters, 23 (2010), 1412–1415. [CrossRef] [MathSciNet]
  10. H.T. Banks, J.L. Davis. A comparison of approximation methods for the estimation of probability distributions on parameters. CRSC-TR05-38, October, 2005 ; Applied Numerical Mathematics, 57 (2007), 753–777.
  11. H.T. Banks, J.L. Davis. Quantifying uncertainty in the estimation of probability distributions. CRSC-TR07-21, December, 2007 ; Math. Biosci. Engr., 5 (2008), 647–667.
  12. H.T. Banks, J.L. Davis, S.L. Ernstberger, S. Hu, E. Artimovich, A.K. Dhar, C.L. Browdy. A comparison of probabilistic and stochastic differential equations in modeling growth uncertainty and variability. CRSC-TR08-03, NCSU, February, 2008 ; Journal of Biological Dynamics, 3 (2009), 130–148.
  13. H.T. Banks, J.L. Davis, S.L. Ernstberger, S. Hu, E. Artimovich, A.K. Dhar. Experimental design and estimation of growth rate distributions in size-structured shrimp populations. CRSC-TR08-20, NCSU, November, 2008 ; Inverse Problems, 25 (2009), 095003(28pp).
  14. H.T. Banks, J.L. Davis, S. Hu. A computational comparison of alternatives to including uncertainty in structured population models. CRSC-TR09-14, June, 2009 ; Three Decades of Progress in Systems and Control, X. Hu, U. Jonsson, B. Wahlberg, B. Ghosh (Eds.), Springer, 2010, 19–33.
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  17. H.T. Banks, S. Hu. Nonlinear stochastic Markov processes and modeling uncertainty in populations. CRSC-TR11-02, NCSU, January, 2011 ; Mathematical Bioscience and Engineering, 9 (2012), 1–25.
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  20. H.T. Banks, G.A. Pinter. A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue, CRSC-TR04-03, January, 2004 ; SIAM J. Multiscale Modeling and Simulation, 3 (2005), 395–412. [CrossRef]
  21. H.T. Banks, K.L. Sutton, W.C. Thompson, G. Bocharov, M. Doumic, T. Schenkel, J. Argilaguet, S. Giest, C. Peligero, A. Meyerhans. A new model for the estimation of cell proliferation dynamics using CFSE data. Center for Research in Scientific Computation Technical Report CRSC-TR11-05, NCSU, July, 2011 ; J. Immunological Methods, 373 (2011), 143–160.
  22. H.T. Banks, K.L. Sutton, W.C. Thompson, G. Bocharov, D. Roose, T. Schenkel, A. Meyerhans. Estimation of cell proliferation dynamics using CFSE data, CRSC-TR09-17, NCSU, August, 2009 ; Bull. Math. Biol. 70 (2011), 116–150; doi :10.1007/s11538-010-9524-5.
  23. H.T. Banks, W.C. Thompson. Mathematical models of dividing cell populations : Application to CFSE data. CRSC-TR12-10, N. C. State University, Raleigh, NC, April, 2012 ; Journal on Mathematical Modelling of Natural Phenomena, to appear.
  24. H.T. Banks, W.C. Thompson. A division-dependent compartmental model with cyton and intracellular label dynamics. CRSC-TR12-12, N. C. State University, Raleigh, NC, May, 2012 ; Intl. J. of Pure and Applied Math., 77 (2012), 119–147.
  25. H.T. Banks, W.C. Thompson, C. Peligero, S. Giest, J. Argilaguet, A. Meyerhans. A compartmental model for computing cell numbers in CFSE-based lymphocyte proliferation assays, CRSC-TR12-03, NCSU, January, 2012 ; Math. Biosci. Engr., to appear.
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