Publications

Bruce P. Ayati, A Comparison of the Dynamics of the Structured Cell Population in Virtual and Experimental Proteus mirabilis Swarm Colonies, Applied Numerical Mathematics, in press, 2008.
[link] © 2008 Elsevier Ltd.

Isaac Klapper, Peter Gilbert, Bruce P. Ayati, Jack Dockery and Philip S. Stewart, Senescence Can Explain Microbial Persistence, Microbiology, 153(11), 2007, pp. 3623-3630.
[link, arXiv] © 2007 Society for General Microbiology

Bruce P. Ayati and Isaac Klapper, A Multiscale Model of Biofilm as a Senescence-Structured Fluid, Multiscale Modeling & Simulation: A SIAM Interdisciplinary Journal, 6(2), 2007, pp. 347-365.
[pdf, link, arXiv] © 2007 Society for Industrial and Applied Mathematics

Bruce P. Ayati, Modeling the Role of the Cell Cycle in Regulating Proteus mirabilis Swarm-Colony Development, Applied Mathematics Letters, 20(8), 2007, pp. 913-918.
[link, arXiv] © 2007 Elsevier Ltd.

Bruce P. Ayati, Modeling and Simulation of Age- and Space-Structured Biological Systems, Current Developments in Mathematical Biology, World Scientific Publishing, 2007, pp. 107-130.
[link] © 2007 World Scientific Publishing

Bruce P. Ayati, Glenn F. Webb, and Alexander R.A. Anderson, Computational Methods and Results for Structured Multiscale Models of Tumor Invasion, Multiscale Modeling & Simulation: A SIAM Interdisciplinary Journal, 5(1), 2006, pp. 1-20.
[pdf, link, arXiv] © 2006 Society for Industrial and Applied Mathematics

Bruce P. Ayati, A Structured-Population Model of Proteus mirabilis Swarm-Colony Development, Journal of Mathematical Biology, 52(1), 2006, pp. 93-114.
[link, arXiv] © Springer-Verlag 2005

Bruce P. Ayati and Todd F. Dupont, Convergence of a Step-doubling Galerkin Method for Parabolic Problems, Mathematics of Computation, 74(251), 2005, pp. 1053-1065.
[pdf, link] © 2004 American Mathematical Society

Bruce P. Ayati and Todd F. Dupont, Galerkin Methods in Age and Space for a Population Model with Nonlinear Diffusion, SIAM J. Numerical Analysis, 40(3), 2002, pp. 1064-1076.
[pdf, link] © 2002 Society for Industrial and Applied Mathematics

Bruce P. Ayati and Paul D. Massatt, Feasibility of Managing a Dynamic Constellation to a Fixed Constellation Definition, Proceedings of the Institute of Navigation 57th Annual Meeting, Albuquerque, New Mexico, June 11-13, 2001, pp. 140-148.
[pdf, link] © 2001 Institute of Navigation

Bruce P. Ayati and Claudia Neuhauser, A Markov Embedding Approximation for a Stochastic Population Model with Exogenous Disturbances, Methodology and Computing in Applied Probability, 3(2), 2001, pp.123-133.
[pdf, link] © 2001 Springer (formerly Kluwer)

Bruce P. Ayati, A Variable Time Step Method for an Age-dependent Population Model with Nonlinear Diffusion, SIAM J. Numerical Analysis, 37(5), 2000, pp. 1571-1589.
[pdf, link] © 2000 Society for Industrial and Applied Mathematics

Bruce P. Ayati, Todd F. Dupont and Thomas Nagylaki, The Influence of Spatial Inhomogeneities on Neutral Models of Geographical Variation IV. Discontinuities in the Population Density and Migration Rate, Theoretical Population Biology, 56(3), 1999, pp. 337-347.
[pdf, link] © 1999 Academic Press

Bruce P. Ayati, Methods for Computational Population Dynamics, University of Chicago Department of Mathematics Doctoral Dissertation, 1998.
[pdf] © 1998 Bruce P. Ayati

Bruce P. Ayati, BuGS 1.0 User Guide, University of Chicago Technical Report CS-96-18, 1996.
[pdf, link] © 1996 Bruce P. Ayati

Sauro Succi, Bruce P. Ayati and A. E. Hosoi, A Six Lecture Primer on Parallel Computing, University of Chicago Technical Report CS-96-11, 1996.
[pdf, link] © 1996 Bruce P. Ayati

Bruce P. Ayati, gridIt 1.0 User Manual, University of Chicago Technical Report CS-96-01, 1996.
[pdf, link] © 1996 Bruce P. Ayati

Last revision: March 26, 2008.