Grants per year
Personal profile
Research Interests
Professor Abrams has broad scientific interests ranging from coupled oscillators to mathematical geoscience to the physics of social systems. He tried to approach these wide-ranging problems by creating greatly simplified mathematical models where rigorous analysis is possible, hopefully capturing some essential properties of the system. The work in different fields is generally connected by similar mathematical techniques drawn from the study of nonlinear dynamics.
Education/Academic qualification
Theoretical and Applied Mechanics, PhD, Cornell University
… → 2006
Applied Physics, BS, California Institute of Technology
… → 2000
Research interests keywords
- Nonlinear dynamics
- Physics of social systems
- Mathematical geoscience
- Pattern formation
- Coupled oscillators
- Synchronization
- Chimera states
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Collaborations and top research areas from the last five years
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Developing Mathematical Models for the Formation of New Collaborations at Conferences
Research Corporation, Department of Agriculture
8/15/20 → 12/31/23
Project: Research project
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Admin Supplement Yoga Instr
National Center for Complementary and Integrative Health
9/13/18 → 8/31/23
Project: Research project
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A Mathematical Model for the Origin of Name Brands and Generics
Johnson, J. D., Redlich, A. M. & Abrams, D. M., 2022, In: SIAM Review. 64, 3, p. 625-639 15 p.Research output: Contribution to journal › Article › peer-review
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Dynamics of social interaction: Modeling the genesis of scientific collaboration
Zajdela, E. R., Huynh, K., Wen, A. T., Feig, A. L., Wiener, R. J. & Abrams, D. M., Oct 2022, In: Physical Review Research. 4, 4, L042001.Research output: Contribution to journal › Article › peer-review
Open Access -
Improving Pain Assessment Using Vital Signs and Pain Medication for Patients with Sickle Cell Disease: Retrospective Study
Padhee, S., Nave, G. K., Banerjee, T., Abrams, D. M. & Shah, N., Jun 1 2022, In: JMIR Formative Research. 6, 6, e36998.Research output: Contribution to journal › Article › peer-review
Open Access -
A dynamical model for the origin of anisogamy
Johnson, J. D., White, N. L., Kangabire, A. & Abrams, D. M., Jul 21 2021, In: Journal of Theoretical Biology. 521, 110669.Research output: Contribution to journal › Article › peer-review
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Can subjective pain be inferred from objective physiological data? Evidence from patients with sickle cell disease
Panaggio, M. J., Abrams, D. M., Yang, F., Banerjee, T. & Shah, N. R., Mar 11 2021, In: PLoS computational biology. 17, 3, e1008542.Research output: Contribution to journal › Article › peer-review
Open Access2 Scopus citations
Datasets
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Data from: Handicap principle implies emergence of dimorphic ornaments
Clifton, S. M. (Contributor), Braun, R. I. (Contributor) & Abrams, D. M. (Contributor), ZENODO, Nov 4 2016
DOI: 10.5061/dryad.vb1pp, https://zenodo.org/record/4935327
Dataset
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Additional file 4 of The influence of societal individualism on a century of tobacco use: modelling the prevalence of smoking
Lang, J. C. (Creator), Abrams, D. M. (Creator) & Sterck, H. D. (Creator), figshare, 2015
DOI: 10.6084/m9.figshare.c.3606977_d4, https://springernature.figshare.com/articles/dataset/Additional_file_4_of_The_influence_of_societal_individualism_on_a_century_of_tobacco_use_modelling_the_prevalence_of_smoking/4350347
Dataset
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Additional file 5 of The influence of societal individualism on a century of tobacco use: modelling the prevalence of smoking
Lang, J. C. (Creator), Abrams, D. M. (Creator) & Sterck, H. D. (Creator), figshare, 2015
DOI: 10.6084/m9.figshare.c.3606977_d5, https://springernature.figshare.com/articles/dataset/Additional_file_5_of_The_influence_of_societal_individualism_on_a_century_of_tobacco_use_modelling_the_prevalence_of_smoking/4350359
Dataset
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Data from: Handicap principle implies emergence of dimorphic ornaments
Clifton, S. M. (Creator), Braun, R. I. (Creator) & Abrams, D. M. (Creator), Dryad, 2016
DOI: 10.5061/dryad.vb1pp, https://datadryad.org/stash/dataset/doi:10.5061/dryad.vb1pp
Dataset
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Data from: The statistical mechanics of human weight change
Lang, J. C. (Creator), De Sterck, H. (Creator) & Abrams, D. M. (Creator), Dryad, Dec 6 2018
DOI: 10.5061/dryad.7f140, https://datadryad.org/stash/dataset/doi:10.5061/dryad.7f140
Dataset