PUBLICATIONS:
1. D. Goldman, Spatiotemporal chaos in the complex Ginzburg-Landau equation and
other studies in nonlinear dynamics, (Ph.D. thesis, Brown University,
1993).
2. D. Goldman & T. Kaper, “Third-order operator splitting schemes and
nonreversible systems,” Los Alamos National Laboratory Technical Report 93-2781
(1993).
3. D. Goldman, L. Sirovich & R. Everson, “The two-dimensional complex
Ginzburg-Landau equation in the dissipationless limit,” Brown University Center
for Fluid Mechanics Report 93-13 (1993).
4. D. Goldman & L. Sirovich, “The one-dimensional complex Ginzburg-Landau
equation in the low dissipation limit,” Nonlinearity 7, 417-439 (1994).
5. D. Goldman & L. Sirovich, “A novel method for simulating the complex Ginzburg-Landau
equation,” Quarterly of Appl. Math. 53, 315-333 (1995).
6. D. Goldman & T. Kaper, “Nth-order operator splitting schemes and
nonreversible systems,” SIAM J. Num. Anal. 33, 349-367 (1996).
7. D. Goldman & P.E. Barbone, “Dirichlet to Neumann maps for the representation
of equipment with weak nonlinearities,” Proceedings of the ASME Noise Control
and Acoustics Division: presented at the 1996 ASME International Mechanical
Engineering Congress and Exposition, November 17-22, 1996, Atlanta, Georgia,
ASME, New York (1996).
8. D.M.
Pierre, D. Goldman, Y. Bar-Yam & A.S. Perelson, ”Somatic evolution
in the immune system: the need for
germinal centers for efficient affinity maturation,” J. Theor. Biol. 186,
159-171 (1997).
9. A.
Nadim, D. Goldman, J.J. Cartmell & P.E. Barbone, “A phase-plane
description of nonlinear traveling waves in bubbly liquids,” J. Comput. Acoust.
7, 71-82 (1999).
10. D. Goldman & A.S. Popel, “Computational
modeling of oxygen transport from complex capillary networks: Relation to the
Microcirculation Physiome,” Adv. Exp. Med. Biol. 471, 555-564 (1999).
11. P.E. Barbone, A. Cherukuri & D. Goldman,
“Canonical representations of complex vibratory subsystems: Time domain
Dirichlet to Neumann maps,” Int. J. of Solids and Structures, 37,
2825-2857 (2000).
12. D. Goldman & A.S. Popel, “A computational study of
the effect of capillary network anastomoses and tortuosity on oxygen
transport,” J. Theor. Biol. 206, 181-194 (2000).
13. A.S. Popel, D. Goldman & A. Vadapalli,
“Oxygen diffusion from the blood vessels to intracellular organelles,” Adv.
Exp. Med. Biol., to appear.
14. D. Goldman & A.S. Popel, “A computational study of
the effect of vasomotion on oxygen transport from capillary networks,” J.
Theor. Biol., to appear.
15. D. Goldman & A.S. Popel, “Averaged equations for
two-phase, multi-species reaction-convection-diffusion problems in the
microcirculation,” in preparation.
16. D. Goldman, A. Nadim & P.E. Barbone, “Linear and
nonlinear dynamics of interacting spherical gas bubbles,” in preparation.
ABSTRACTS/PRESENTATIONS:
November 1992, American Physical Society
Meeting, Division of Fluid Dynamics, Tallahassee, Florida (Bull. Am. Phys. Soc.
37, 1806 (1992))
March 1993, Applied Mathematics Seminar,
Mathematics Department, Boston University
August 1993, Workshop on Low-dimensional
Chaos, CNLS, Los Alamos National Laboratory
November 1993, A.P.S. Meeting, Div. of
Fluid Dynamics, Albuquerque, New Mexico (Bull. Am. Phys. Soc. 38, 2274
(1993))
June 1995, Acoustical Society of
America Meeting, Washington, District of Columbia (J. Acoust. Soc. Am. 97,
3238 (1995); J. Acoust. Soc. Am. 97, 3411 (1995))
November 1995, A.P.S. Meeting, Div. of
Fluid Dynamics, Irvine, California
(Bull. Am. Phys. Soc. 40, 1948 (1995))
November 1996, ASME Meeting, Atlanta,
Georgia (See Goldman & Barbone (1996))
April 1998, Microcirculatory Society
Meeting (Experimental Biology), San Francisco, California (FASEB J. 12,
A5 (1998))
August 1998, International Society for
Oxygen Transport to Tissue Meeting, Budapest, Hungary (See Goldman & Popel
(1999))
June 1999, ASME Summer Bioengineering
Conference, Big Sky, Montana
April 2000, Microcirculatory Society
Meeting (Experimental Biology), San Diego, California (FASEB J. 14, A15
(2000))