Publications:

Grünbaum, D., S. Viscido and J. K. Parrish (2004) Extracting interactive control algorithms from group dynamics of schooling fish. To appear: Proceedings, Block Island Workshop on Cooperative Control. Ed.s V.Kumar, N. E. Leonard and A. S. Morse. Springer-Verlag.
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Viscido, S. V., J. K. Parrish and D. Grünbaum (2004) Individual behavior and emergent properties of fish schools: a comparison between observation and theory. Marine Ecology Progress Series 273:239-249 .
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Bearon, R. N., D. Grünbaum and R. A. Cattolico (2004) Relating cell-level swimming behaviors to vertical population distributions in Heterosigma akashiwo (Raphidophyceae), a harmful alga. Limnology and Oceanography 49(2): 607-613.
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Grünbaum, D. and R. R. Strathmann (2003) Form, performance and trade-offs in swimming and stability of armed larvae. Journal of Marine Research 61 (5): 659-691.
[file in pdf format]

Grünbaum, D. and R. R. Veit (2003) Foraging behavior of Black-browed Albatrosses: Density-dependence through local enhancement. Ecology 84(12):3265–3275.
[file in pdf format]

Parrish, J. K., S. V. Viscido, and D. Grünbaum (2002) Self-organized fish schools: An examination of emergent properties. Biological Bulletin 202 (3): 296-305.
[file in pdf format]

Grünbaum, D. (2001) Predicting availability to consumers of spatially and temporally variable resources. Hydrobiologia 480(1-3):175-191
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Okubo, A., and Grünbaum, D. (2001) Mathematical Treatment of Biological Diffusion. In: Diffusion and Ecological Problems: Mathematical Models (by A. Okubo, with S. A. Levin) Springer-Verlag.

Okubo, A., D. Grünbaum and L. Edelstein-Keshet (2001) The Dynamics of Animal Grouping. In: Diffusion and Ecological Problems: Mathematical Models (by A. Okubo, with S. A. Levin) Springer-Verlag.

Grünbaum, D. (2000) Advection-diffusion equations for internal state-mediated random walks. SIAM Journal on Applied Mathematics 61:43-73
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Grünbaum, D. (1999) Advection-diffusion equations for generalized tactic searching behaviors. Journal of Mathematical Biology 38: 169–194
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Flierl, G., D. Grünbaum, S. Levin, and D. Olson (1999) Individual-based perspectives on grouping. Journal of Theoretical Biology 196:397-454
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Adler, F.R. and D. Grünbaum (1999) Evolution of forager responses to inducible defenses In: The Evolution of Inducible Defenses, Princeton Press, Princeton NJ 08540 (ed. C.D. Harvell and R. Tollrian).

Grünbaum, D. (1998) Using spatially-explicit models to characterize foraging performance in heterogeneous landscapes. American Naturalist 151(2):97-115.
[file in pdf format]

Grünbaum, D., D. Eyre, and A. Fogelson (1998) Functional geometry of ciliated tentacular arrays in active suspension feeders. Journal of Experimental Biology 201:2575-2589.
[file in pdf format]

Grünbaum, D. (1998) Schooling as a strategy for taxis in a noisy environment. Evolutionary Ecology 12(5):503-522.

Edelstein-Keshet, L., J. Watmough, and D. Grünbaum (1998) Do travelling band solutions describe cohesive swarms? An investigation for migratory locusts. Journal of Mathematical Biology 36:515-549. [file [file in pdf format]

Grünbaum, D. (1997) Hydromechanical mechanisms of colony organization and cost of defense in an encrusting bryozoan, Membranipora membranacea. Limnology and Oceangraphy 42(4):741-752.
[file in pdf format]

Rohani, P., T.J. Lewis, D. Grünbaum, and G.D. Ruxton (1997) Spatial self-organization in ecology: pretty patterns or robust reality? Trends in Evolution and Ecology 12(2):70-74.

Grünbaum, D. (1995) A model of feeding currents in encrusting bryozoans shows interference between zooids within a colony. Journal of Theoretical Biology 174:409-425.
[file in pdf format]

Grünbaum, D. (1994) Translating stochastic density-dependent individual behavior to a continuum model of animal swarming. Journal of Mathematical Biology 33:139-161.

Grünbaum, D. and A. Okubo (1994) Modelling social animal aggregations, In: Frontiers of Theoretical Biology, Lecture Notes in Biomathematics, Vol. 100. (ed. S. A. Levin) Springer-Verlag.

Veit, R.R., G.A. Nevitt, E. Silverman, M. Groom, B. Agler, D. Grünbaum and D. Secord (1993) AMLR Program: Foraging behavior and spatial pattern of pelagic birds at sea. Antarctic Journal of the U.S. 28:198-200.

Daniel, T.L., C.E. Jordan, and D. Grünbaum (1992) The mechanics of aquatic locomotion. In: Comparative and Environmental Physiology. Vol. 11, Mechanics and Energetics of Animal Locomotion (ed. R. McNeill Alexander). Springer-Verlag.