# | Title | Journal | Year | Citations |
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1 | Discovering governing equations from data by sparse identification of nonlinear dynamical systems | Proceedings of the National Academy of Sciences of the United States of America | 2016 | 2,237 |
2 | Single-cell mRNA quantification and differential analysis with Census | Nature Methods | 2017 | 1,179 |
3 | Data-driven discovery of partial differential equations | Science Advances | 2017 | 821 |
4 | Deep learning for universal linear embeddings of nonlinear dynamics | Nature Communications | 2018 | 606 |
5 | Deep learning in fluid dynamics | Journal of Fluid Mechanics | 2017 | 518 |
6 | The Transmissibility and Control of Pandemic Influenza A (H1N1) Virus | Science | 2009 | 486 |
7 | Varying planetary heat sink led to global-warming slowdown and acceleration | Science | 2014 | 403 |
8 | Data-driven discovery of coordinates and governing equations | Proceedings of the National Academy of Sciences of the United States of America | 2019 | 397 |
9 | A quantitative model for differential motility of gliomas in grey and white matter | Cell Proliferation | 2000 | 380 |
10 | A model of HIV-1 pathogenesis that includes an intracellular delay | Mathematical Biosciences | 2000 | 326 |
11 | Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control | PLoS ONE | 2016 | 325 |
12 | Extracting spatial–temporal coherent patterns in large-scale neural recordings using dynamic mode decomposition | Journal of Neuroscience Methods | 2016 | 313 |
13 | Chaos as an intermittently forced linear system | Nature Communications | 2017 | 312 |
14 | Bose-Einstein Condensates in Standing Waves: The Cubic Nonlinear Schrödinger Equation with a Periodic Potential | Physical Review Letters | 2001 | 280 |
15 | Optimal Degrees of Synaptic Connectivity | Neuron | 2017 | 267 |
16 | High Order Strong Stability Preserving Time Discretizations | Journal of Scientific Computing | 2009 | 266 |
17 | Inferring Biological Networks by Sparse Identification of Nonlinear Dynamics | IEEE Transactions on Molecular, Biological, and Multi-Scale Communications | 2016 | 258 |
18 | Sparse identification of nonlinear dynamics for model predictive control in the low-data limit | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | 2018 | 238 |
19 | A mathematical model of glioma growth: the effect of chemotherapy on spatio‐temporal growth | Cell Proliferation | 1995 | 234 |
20 | A large-scale standardized physiological survey reveals functional organization of the mouse visual cortex | Nature Neuroscience | 2020 | 232 |
21 | Phosphorylation Energy Hypothesis: Open Chemical Systems and Their Biological Functions | Annual Review of Physical Chemistry | 2007 | 230 |
22 | On stability of streamwise streaks and transition thresholds in plane channel flows | Journal of Fluid Mechanics | 1998 | 227 |
23 | Speeds of invasion in a model with strong or weak Allee effects | Mathematical Biosciences | 2001 | 224 |
24 | Tsunami modelling with adaptively refined finite volume methods | Acta Numerica | 2011 | 223 |
25 | Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy | British Journal of Cancer | 2002 | 220 |
26 | Spreading disease: integro-differential equations old and new | Mathematical Biosciences | 2003 | 212 |
27 | Spatio-temporal patterns generated by Salmonella typhimurium | Biophysical Journal | 1995 | 210 |
28 | Cloud droplet sedimentation, entrainment efficiency, and subtropical stratocumulus albedo | Geophysical Research Letters | 2007 | 209 |
29 | Open-System Nonequilibrium Steady State: Statistical Thermodynamics, Fluctuations, and Chemical Oscillations | Journal of Physical Chemistry B | 2006 | 195 |
30 | Discrete-time travelling waves: Ecological examples | Journal of Mathematical Biology | 1992 | 192 |
31 | Generalizing Koopman Theory to Allow for Inputs and Control | SIAM Journal on Applied Dynamical Systems | 2018 | 186 |
32 | Flower discrimination by pollinators in a dynamic chemical environment | Science | 2014 | 184 |
33 | Mechanisms of marine low cloud sensitivity to idealized climate perturbations: A single‐LES exploration extending the CGILS cases | Journal of Advances in Modeling Earth Systems | 2013 | 180 |
34 | Physical origins of entropy production, free energy dissipation, and their mathematical representations | Physical Review E | 2010 | 179 |
35 | Longitudinal threshold changes in older men with audiometric notches | Hearing Research | 2000 | 178 |
36 | Stochastic dynamics and non-equilibrium thermodynamics of a bistable chemical system: the Schlögl model revisited | Journal of the Royal Society Interface | 2009 | 177 |
37 | A regionalized national universal kriging model using Partial Least Squares regression for estimating annual PM2.5 concentrations in epidemiology | Atmospheric Environment | 2013 | 174 |
38 | pH determines the energetic efficiency of the cyanobacterial CO 2 concentrating mechanism | Proceedings of the National Academy of Sciences of the United States of America | 2016 | 166 |
39 | Modelling territoriality and wolf–deer interactions | Nature | 1993 | 159 |
40 | A mechanical model for the formation of vascular networks in vitro | Acta Biotheoretica | 1996 | 159 |
41 | VERTICAL STRUCTURE OF A SUPERNOVA-DRIVEN TURBULENT, MAGNETIZED INTERSTELLAR MEDIUM | Astrophysical Journal | 2012 | 159 |
42 | Stochastic theory of nonequilibrium steady states and its applications. Part I | Physics Reports | 2012 | 153 |
43 | Data-driven modeling and learning in science and engineering | Comptes Rendus - Mecanique | 2019 | 150 |
44 | Model selection for dynamical systems via sparse regression and information criteria | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | 2017 | 149 |
45 | The evolutionary landscape of chronic lymphocytic leukemia treated with ibrutinib targeted therapy | Nature Communications | 2017 | 148 |
46 | The What and Where of Adding Channel Noise to the Hodgkin-Huxley Equations | PLoS Computational Biology | 2011 | 146 |
47 | Single-molecule enzymology: stochastic Michaelis–Menten kinetics | Biophysical Chemistry | 2002 | 145 |
48 | Impact of Network Structure and Cellular Response on Spike Time Correlations | PLoS Computational Biology | 2012 | 143 |
49 | Optical microresonators as single-particle absorption spectrometers | Nature Photonics | 2016 | 143 |
50 | Stability of repulsive Bose-Einstein condensates in a periodic potential | Physical Review E | 2001 | 142 |