Numerical Partial Differential Equations
Mathematical Biology
Computational Biofluids
- A microscale model of bacterial and biofilm dynamics in porous
media, (with Lisa Fauci), Biotechnology and Bioengineering,
68 (2000), 536-547.
- An integrative model of internal axoneme mechanics and
external fluid dynamics in ciliary beating, (with Lisa Fauci.)
Journal of Theoretical Biology, 207 (2000), 415-430.
- Mathematical modeling of vertebrate limb development, in H. G.
Othmer and P. K. Maini, editors, Pattern Formation and
Morphogenesis: Model systems, IMA Volumes in Mathematics and its
Applications, Springer-Verlag, New York, 121 (2001), 39-57.
- A fluid-structure interaction model of ciliary beating,
(with Lisa J. Fauci), in S. Gueron and L. Fauci, editors, Computational Methods in Biological Fluid Dynamics, IMA Volumes
in Mathematics and its Applications, Springer-Verlag, New York,
124 (2001).
- "Spatial pattern formation and morphegenesis in development:
Progress and perspectives for two model systems" (with Reka
Albert, Chetan Gadgil and Hans G. Othmer), in: Morphogensis and
Pattern Formation in Biological Systems - Experiments and Models
T. Sekimura, et al, eds. Springer, NY, pp. 21-23, (2003).
- "Mathematical Modeling of Axoneme Mechanics and Fluid Dynamics in
Ciliary and Sperm Motility" (with Lisa J. Fauci and Charlotte
Omoto) Dynamics of Continuous, Discrete and Impulsive
Systems, Series A: Mathematical Analysis, 10 (2003), pp
745-757.
- Short and long-range effects of sonic hedgehog in limb
development (with Chetan Gadgil and Hans G. Othmer), PNAS
100:18 (2003), pp 10152 - 10157.
- "Simulation of swimming organisms: coupling internal
mechanics with external fluid dynamics (with R. Cortez, N. Cowen
and L. Fauci), Comp. Sci. & Engr. 6 (2004), 38-45.
2007-06-05