| # | Title | Journal | Year | Citations |
|---|
|
| 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 | 2,546 |
| 2 | Single-cell mRNA quantification and differential analysis with Census | Nature Methods | 2017 | 1,310 |
| 3 | Data-driven discovery of partial differential equations | Science Advances | 2017 | 897 |
| 4 | Deep learning for universal linear embeddings of nonlinear dynamics | Nature Communications | 2018 | 679 |
| 5 | Deep learning in fluid dynamics | Journal of Fluid Mechanics | 2017 | 558 |
| 6 | Hierarchical organization of cortical and thalamic connectivity | Nature | 2019 | 505 |
| 7 | Available potential energy and mixing in density-stratified fluids | Journal of Fluid Mechanics | 1995 | 467 |
| 8 | Distinct relationships of parietal and prefrontal cortices to evidence accumulation | Nature | 2015 | 467 |
| 9 | Data-driven discovery of coordinates and governing equations | Proceedings of the National Academy of Sciences of the United States of America | 2019 | 453 |
| 10 | Estimated Global Proportions of Individuals With Persistent Fatigue, Cognitive, and Respiratory Symptom Clusters Following Symptomatic COVID-19 in 2020 and 2021 | JAMA - Journal of the American Medical Association | 2022 | 432 |
| 11 | Varying planetary heat sink led to global-warming slowdown and acceleration | Science | 2014 | 413 |
| 12 | A quantitative model for differential motility of gliomas in grey and white matter | Cell Proliferation | 2000 | 388 |
| 13 | The Geography of Happiness: Connecting Twitter Sentiment and Expression, Demographics, and Objective Characteristics of Place | PLoS ONE | 2013 | 366 |
| 14 | Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control | PLoS ONE | 2016 | 351 |
| 15 | Chaos as an intermittently forced linear system | Nature Communications | 2017 | 351 |
| 16 | Energy Balance for Analysis of Complex Metabolic Networks | Biophysical Journal | 2002 | 349 |
| 17 | Survey of spiking in the mouse visual system reveals functional hierarchy | Nature | 2021 | 349 |
| 18 | Extracting spatial–temporal coherent patterns in large-scale neural recordings using dynamic mode decomposition | Journal of Neuroscience Methods | 2016 | 333 |
| 19 | Models of epidermal wound healing | Proceedings of the Royal Society B: Biological Sciences | 1990 | 328 |
| 20 | Data-Driven Sparse Sensor Placement for Reconstruction: Demonstrating the Benefits of Exploiting Known Patterns | IEEE Control Systems | 2018 | 301 |
| 21 | Optimal Degrees of Synaptic Connectivity | Neuron | 2017 | 294 |
| 22 | Bose-Einstein Condensates in Standing Waves: The Cubic Nonlinear Schrödinger Equation with a Periodic Potential | Physical Review Letters | 2001 | 285 |
| 23 | High Order Strong Stability Preserving Time Discretizations | Journal of Scientific Computing | 2009 | 277 |
| 24 | Extremely High Multiplicities in High-Energy Nucleus-Nucleus Collisions | Physical Review Letters | 1983 | 273 |
| 25 | The Evolution of Mathematical Modeling of Glioma Proliferation and Invasion | Journal of Neuropathology and Experimental Neurology | 2007 | 272 |
| 26 | Efficient computation of optimal actions | Proceedings of the National Academy of Sciences of the United States of America | 2009 | 269 |
| 27 | 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 | 269 |
| 28 | Human language reveals a universal positivity bias | Proceedings of the National Academy of Sciences of the United States of America | 2015 | 259 |
| 29 | Estimating global and regional disruptions to routine childhood vaccine coverage during the COVID-19 pandemic in 2020: a modelling study | Lancet, The | 2021 | 259 |
| 30 | A large-scale standardized physiological survey reveals functional organization of the mouse visual cortex | Nature Neuroscience | 2020 | 249 |
| 31 | The intrinsic attractor manifold and population dynamics of a canonical cognitive circuit across waking and sleep | Nature Neuroscience | 2019 | 246 |
| 32 | A mathematical model of glioma growth: the effect of chemotherapy on spatio‐temporal growth | Cell Proliferation | 1995 | 241 |
| 33 | Phosphorylation Energy Hypothesis: Open Chemical Systems and Their Biological Functions | Annual Review of Physical Chemistry | 2007 | 240 |
| 34 | A mathematical modelling tool for predicting survival of individual patients following resection of glioblastoma: a proof of principle | British Journal of Cancer | 2008 | 240 |
| 35 | Tsunami modelling with adaptively refined finite volume methods | Acta Numerica | 2011 | 233 |
| 36 | On stability of streamwise streaks and transition thresholds in plane channel flows | Journal of Fluid Mechanics | 1998 | 230 |
| 37 | Cloud droplet sedimentation, entrainment efficiency, and subtropical stratocumulus albedo | Geophysical Research Letters | 2007 | 230 |
| 38 | Quantifying the Role of Angiogenesis in Malignant Progression of Gliomas: In Silico Modeling Integrates Imaging and Histology | Cancer Research | 2011 | 224 |
| 39 | Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy | British Journal of Cancer | 2002 | 222 |
| 40 | Role of Detection Method in Predicting Breast Cancer Survival: Analysis of Randomized Screening Trials | Journal of the National Cancer Institute | 2005 | 220 |
| 41 | Spreading disease: integro-differential equations old and new | Mathematical Biosciences | 2003 | 217 |
| 42 | Optimal energy density growth in Hagen–Poiseuille flow | Journal of Fluid Mechanics | 1994 | 211 |
| 43 | Spatio-temporal patterns generated by Salmonella typhimurium | Biophysical Journal | 1995 | 211 |
| 44 | Generalizing Koopman Theory to Allow for Inputs and Control | SIAM Journal on Applied Dynamical Systems | 2018 | 205 |
| 45 | Open-System Nonequilibrium Steady State: Statistical Thermodynamics, Fluctuations, and Chemical Oscillations | Journal of Physical Chemistry B | 2006 | 199 |
| 46 | Discrete-time travelling waves: Ecological examples | Journal of Mathematical Biology | 1992 | 195 |
| 47 | Thermodynamics of stoichiometric biochemical networks in living systems far from equilibrium | Biophysical Chemistry | 2005 | 194 |
| 48 | 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 | 187 |
| 49 | Stochastic dynamics and non-equilibrium thermodynamics of a bistable chemical system: the Schlögl model revisited | Journal of the Royal Society Interface | 2009 | 186 |
| 50 | Physical origins of entropy production, free energy dissipation, and their mathematical representations | Physical Review E | 2010 | 182 |
