929(top 1%)
papers
33.7K(top 1%)
citations
87(top 0.1%)
h-index
149(top 0.1%)
g-index
1.1K
all documents
37.2K
doc citations
4.0K
citing journals

Top Articles

#TitleJournalYearCitations
1Discovering governing equations from data by sparse identification of nonlinear dynamical systemsProceedings of the National Academy of Sciences of the United States of America20162,237
2Single-cell mRNA quantification and differential analysis with CensusNature Methods20171,179
3Data-driven discovery of partial differential equationsScience Advances2017821
4Deep learning for universal linear embeddings of nonlinear dynamicsNature Communications2018606
5Deep learning in fluid dynamicsJournal of Fluid Mechanics2017518
6The Transmissibility and Control of Pandemic Influenza A (H1N1) VirusScience2009486
7Varying planetary heat sink led to global-warming slowdown and accelerationScience2014403
8Data-driven discovery of coordinates and governing equationsProceedings of the National Academy of Sciences of the United States of America2019397
9A quantitative model for differential motility of gliomas in grey and white matterCell Proliferation2000380
10A model of HIV-1 pathogenesis that includes an intracellular delayMathematical Biosciences2000326
11Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for ControlPLoS ONE2016325
12Extracting spatial–temporal coherent patterns in large-scale neural recordings using dynamic mode decompositionJournal of Neuroscience Methods2016313
13Chaos as an intermittently forced linear systemNature Communications2017312
14Bose-Einstein Condensates in Standing Waves: The Cubic Nonlinear Schrödinger Equation with a Periodic PotentialPhysical Review Letters2001280
15Optimal Degrees of Synaptic ConnectivityNeuron2017267
16High Order Strong Stability Preserving Time DiscretizationsJournal of Scientific Computing2009266
17Inferring Biological Networks by Sparse Identification of Nonlinear DynamicsIEEE Transactions on Molecular, Biological, and Multi-Scale Communications2016258
18Sparse identification of nonlinear dynamics for model predictive control in the low-data limitProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences2018238
19A mathematical model of glioma growth: the effect of chemotherapy on spatio‐temporal growthCell Proliferation1995234
20A large-scale standardized physiological survey reveals functional organization of the mouse visual cortexNature Neuroscience2020232
21Phosphorylation Energy Hypothesis: Open Chemical Systems and Their Biological FunctionsAnnual Review of Physical Chemistry2007230
22On stability of streamwise streaks and transition thresholds in plane channel flowsJournal of Fluid Mechanics1998227
23Speeds of invasion in a model with strong or weak Allee effectsMathematical Biosciences2001224
24Tsunami modelling with adaptively refined finite volume methodsActa Numerica2011223
25Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapyBritish Journal of Cancer2002220
26Spreading disease: integro-differential equations old and newMathematical Biosciences2003212
27Spatio-temporal patterns generated by Salmonella typhimuriumBiophysical Journal1995210
28Cloud droplet sedimentation, entrainment efficiency, and subtropical stratocumulus albedoGeophysical Research Letters2007209
29Open-System Nonequilibrium Steady State:  Statistical Thermodynamics, Fluctuations, and Chemical OscillationsJournal of Physical Chemistry B2006195
30Discrete-time travelling waves: Ecological examplesJournal of Mathematical Biology1992192
31Generalizing Koopman Theory to Allow for Inputs and ControlSIAM Journal on Applied Dynamical Systems2018186
32Flower discrimination by pollinators in a dynamic chemical environmentScience2014184
33Mechanisms of marine low cloud sensitivity to idealized climate perturbations: A single‐LES exploration extending the CGILS casesJournal of Advances in Modeling Earth Systems2013180
34Physical origins of entropy production, free energy dissipation, and their mathematical representationsPhysical Review E2010179
35Longitudinal threshold changes in older men with audiometric notchesHearing Research2000178
36Stochastic dynamics and non-equilibrium thermodynamics of a bistable chemical system: the Schlögl model revisitedJournal of the Royal Society Interface2009177
37A regionalized national universal kriging model using Partial Least Squares regression for estimating annual PM2.5 concentrations in epidemiologyAtmospheric Environment2013174
38pH determines the energetic efficiency of the cyanobacterial CO 2 concentrating mechanismProceedings of the National Academy of Sciences of the United States of America2016166
39Modelling territoriality and wolf–deer interactionsNature1993159
40A mechanical model for the formation of vascular networks in vitroActa Biotheoretica1996159
41VERTICAL STRUCTURE OF A SUPERNOVA-DRIVEN TURBULENT, MAGNETIZED INTERSTELLAR MEDIUMAstrophysical Journal2012159
42Stochastic theory of nonequilibrium steady states and its applications. Part IPhysics Reports2012153
43Data-driven modeling and learning in science and engineeringComptes Rendus - Mecanique2019150
44Model selection for dynamical systems via sparse regression and information criteriaProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences2017149
45The evolutionary landscape of chronic lymphocytic leukemia treated with ibrutinib targeted therapyNature Communications2017148
46The What and Where of Adding Channel Noise to the Hodgkin-Huxley EquationsPLoS Computational Biology2011146
47Single-molecule enzymology: stochastic Michaelis–Menten kineticsBiophysical Chemistry2002145
48Impact of Network Structure and Cellular Response on Spike Time CorrelationsPLoS Computational Biology2012143
49Optical microresonators as single-particle absorption spectrometersNature Photonics2016143
50Stability of repulsive Bose-Einstein condensates in a periodic potentialPhysical Review E2001142