Robert M. Miura

Neuroscience · Life Sciences

24h-index10.6kcitations78works0.02yr avg
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Research Topics

Neural dynamics and brain function(13), Nonlinear Dynamics and Pattern Formation(11), stochastic dynamics and bifurcation(11), Nonlinear Waves and Solitons(9), Nonlinear Photonic Systems(9)

Publications78 total

Role of Astrocyte in Cortical Spreading Depression: A Quantitative Model of Neuron-Astrocyte Network
Communications in Computational Physics·2018· 3 cited
Extension of a viscous thread with temperature-dependent viscosity and surface tension
Journal of Fluid Mechanics·2016· 12 cited
Regulatory inhibition of biological tissue mineralization through post-nucleation shielding
Bulletin of the American Physical Society·2016
Asymptotic analysis of a viscous thread extending under gravity
Physica D Nonlinear Phenomena·2015· 5 cited
Regulation of calcium phosphate sedimentation in biological fluids through post-nucleation shielding
arXiv (Cornell University)·2015Open Access
Regulation of biological tissue mineralization through post-nucleation shielding
arXiv (Cornell University)·2015Open Access
Mathematical approaches to modeling of cortical spreading depression
Chaos An Interdisciplinary Journal of Nonlinear Science·2013· 19 citedOpen Access
A Mathematical Model of the Metabolic and Perfusion Effects on Cortical Spreading Depression
PLoS ONE·2013· 69 citedOpen Access
Mathematical Modeling of Alternative Polyadenylation in the Human Gene,<i>CSTF</i>3
SIAM Journal on Applied Mathematics·2013
Interconnected neural, vascular, and metabolic dysfunction during cortical spreading depression: a mathematical model
2012
A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression
Advances in Applied Mathematics and Mechanics·2011· 9 cited
Stretching of viscous threads at low Reynolds numbers
Journal of Fluid Mechanics·2011· 11 cited
EXACT AND APPROXIMATE TRAVELING WAVES OF REACTION-DIFFUSION SYSTEMS VIA A VARIATIONAL APPROACH
Analysis and Applications·2011· 9 cited
A Continuum Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression
Bulletin of Mathematical Biology·2011· 44 cited
Restricted Diffusion in Cellular Media: (1+1)-Dimensional Model
Bulletin of Mathematical Biology·2010· 6 cited
Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves
Discrete and Continuous Dynamical Systems·2008· 3 cited
ソリトンと逆散乱法--歴史的視点から(1)
数学セミナー·2008
Martin David Kruskal
Physics Today·2007· 1 citedOpen Access
Thermal instability in drawing viscous threads
Journal of Fluid Mechanics·2007· 22 cited
On the Formation of Glass Microelectrodes
SIAM Journal on Applied Mathematics·2007· 14 citedOpen Access
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Frequent Co-authors

Huaxiong Huang(10), Charles G. Lange(7), Jonathan J. Wylie(7), Martin D. Kruskal(5), Clifford S. Gardner(4), E. Puil(4), Longxiang Dai(3), J. M. Greene(2), Arthur Sherman(2), Gregory D. Smith(2), Wei Yao(2), Yuexian Li(2), Stefan Reinker(2), Mark Pernarowski(2), Yi-der Chen(2), Brian Topp(1), Keith Promislow(1), GERDA DEVRIES(1), Diane T. Finegood(1), Norman J. Zabusky(1)