Most cited papers in Mathematical Biology Tumor Growth
What are the most cited papers in Mathematical Biology Tumor Growth?
The most cited paper in Mathematical Biology Tumor Growth is "Active contours without edges" (Tony Fan-Cheong Chan, Luminita A. Vese, 2001), with 10,394 citations. Next come "The Clonal Evolution of Tumor Cell Populations" (6,631) and "Biomimicry of bacterial foraging for distributed optimization and control" (3,082).
Showing 50 of 100 papers. Every paper with more than 576 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Active contours without edges Tony Fan-Cheong Chan, Luminita A. Vese · IEEE Transactions on Image Processing | 2001 | 10,394 |
| 2 | The Clonal Evolution of Tumor Cell Populations Peter C. Nowell̀ · Science | Oct 1976 | 6,631 |
| 3 | Biomimicry of bacterial foraging for distributed optimization and control Kevin M. Passino · IEEE Control Systems | Jun 2002 | 3,082 |
| 4 | An Integrative Model of Cellular States, Plasticity, and Genetics for Glioblastoma Cyril Neftel et al. · Cell | 18 Jul 2019 | 3,048 |
| 5 | Chemotaxis in Escherichia coli analysed by Three-dimensional Tracking Howard C. Berg, Douglas A. Brown · Nature | Oct 1972 | 2,296 |
| 6 | Physics of chemoreception Howard C. Berg, Edward M. Purcell · Biophysical Journal | Nov 1977 | 1,998 |
| 7 | Model for chemotaxis Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology | Feb 1971 | 1,958 |
| 8 | Cell and Environment Interactions in Tumor Microregions: The Multicell Spheroid Model Robert M. Sutherland · Science | 8 Apr 1988 | 1,827 |
| 9 | Cancer as an evolutionary and ecological process Lauren M.F. Merlo, John W. Pepper, Brian J. Reid et al. · Nature reviews. Cancer | 16 Nov 2006 | 1,760 |
| 10 | A user’s guide to PDE models for chemotaxis Thomas Hillen, Kevin J. Painter · Journal of Mathematical Biology | 14 Jul 2008 | 1,718 |
| 11 | Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos Robert Mccredie May · Science | 15 Nov 1974 | 1,717 |
| 12 | Current and future perspectives of liquid biopsies in genomics-driven oncology Ellen Heitzer, Imran S. Haque, Charles E. S. Roberts et al. · Nature Reviews Genetics | 8 Nov 2018 | 1,595 |
| 13 | Organoid Modeling of the Tumor Immune Microenvironment James T. Neal et al. · Cell | Dec 2018 | 1,575 |
| 14 | Diffusion Models: A Comprehensive Survey of Methods and Applications Ling Qiang Yang, Zhilong Zhang, Yang Song et al. · ACM Computing Surveys | 30 Sep 2023 | 1,565 |
| 15 | Stochastic State Transitions Give Rise to Phenotypic Equilibrium in Populations of Cancer Cells Piyush B. Gupta, Christine M. Fillmore, Guozhi Jiang et al. · Cell | Aug 2011 | 1,552 |
| 16 | Random walk models in biology Edward A. Codling, Michael John Plank, Simon Benhamou · Journal of The Royal Society Interface | 15 Apr 2008 | 1,549 |
| 17 | Nonlocal Operators with Applications to Image Processing Guy Gilboa, Stanley Osher · Multiscale Modeling and Simulation | 12 Nov 2008 | 1,439 |
| 18 | Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model Michael Winkler · Journal of Differential Equations | 22 Feb 2010 | 1,411 |
| 19 | Ultrasensitivity in the mitogen-activated protein kinase cascade. Chi‐Ying F. Huang, James E. Ferrell · Proceedings of the National Academy of Sciences | 17 Sep 1996 | 1,221 |
| 20 | Traveling bands of chemotactic bacteria: A theoretical analysis Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology | Feb 1971 | 1,206 |
| 21 | Kinetics of vascular normalization by VEGFR2 blockade governs brain tumor response to radiation Frank Winkler, Sergey V. Kozin, Ricky T. Tong et al. · Cancer Cell | Dec 2004 | 1,180 |
| 22 | The approach of solutions of nonlinear diffusion equations to travelling front solutions Paul C. Fife, J. Bryce McLeod · Archive for Rational Mechanics and Analysis | Dec 1977 | 1,177 |
| 23 | Continuous and Discrete Mathematical Models of Tumor-induced Angiogenesis Alexander R.A. Anderson · Bulletin of Mathematical Biology | Sep 1998 | 1,136 |
| 24 | Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues Nicola Bellomo, Abdelghani Bellouquid, Yixin Tao et al. · Mathematical Models and Methods in Applied Sciences | 25 Mar 2015 | 1,126 |
| 25 | The Importance of Being Discrete (and Spatial) Rick Durrett, Simon A. Levin · Theoretical Population Biology | Dec 1994 | 1,126 |
| 26 | Cancer Stem Cells: Impact, Heterogeneity, and Uncertainty Jeffrey A. Magee, Elena Piskounova, Sean J. Morrison · Cancer Cell | Mar 2012 | 1,120 |
| 27 | Association of the Extent of Resection With Survival in Glioblastoma Timothy J. Brown, Matthew Brennan, Michael Jonathan Li et al. · JAMA Oncology | 16 Jun 2016 | 1,110 |
| 28 | Robust perfect adaptation in bacterial chemotaxis through integral feedback control Tau‐Mu Yi, Yun Hua Huang, Melvin I. Simon et al. · Proceedings of the National Academy of Sciences | 25 Apr 2000 | 1,099 |
| 29 | A Big Bang model of human colorectal tumor growth Andrea Sottoriva, Haeyoun Kang, Zhicheng Ma et al. · Nature Genetics | 9 Feb 2015 | 1,086 |
| 30 | Robustness of Cellular Functions Jörg Stelling, Uwe Sauer, Zoltán Szállási et al. · Cell | Sep 2004 | 1,080 |
| 31 | Boundedness vs. blow-up in a chemotaxis system Dirk Horstmann, Michael Winkler · Journal of Differential Equations | 16 Dec 2004 | 1,068 |
| 32 | Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feedback systems David Angeli, James E. Ferrell, Eduardo D. Sontag · Proceedings of the National Academy of Sciences | 6 Feb 2004 | 1,051 |
| 33 | Controlled markov processes and viscosity solutions M. R. James · Stochastics and stochastics reports | Jul 1994 | 1,050 |
| 34 | Cancer heterogeneity: implications for targeted therapeutics Rosalie Anne Fisher, Lajos Pusztai, Charles Swanton · British Journal of Cancer | 8 Jan 2013 | 1,016 |
| 35 | Spatial segregation of interacting species Nanako Shigesada, Kohkichi Kawasaki, Ei Teramoto · Journal of Theoretical Biology | Jul 1979 | 1,001 |
| 36 | Stochasticity in Transcriptional Regulation: Origins, Consequences, and Mathematical Representations Thomas B. Kepler, Timothy C. Elston · Biophysical Journal | Dec 2001 | 954 |
| 37 | Stability analysis of swarms Veysel Gazi, Kevin M. Passino · IEEE Transactions on Automatic Control | Apr 2003 | 942 |
| 38 | Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis Vladimir A. Kuznetsov, Iliya A. Makalkin, Mark A. Taylor et al. · Bulletin of Mathematical Biology | Mar 1994 | 940 |
| 39 | Modeling immunotherapy of the tumor - immune interaction Denise E. Kirschner, John Carl Panetta · Journal of Mathematical Biology | 3 Sep 1998 | 933 |
| 40 | The Gradient-Sensing Mechanism in Bacterial Chemotaxis Robert M. Macnab, Daniel E. Koshland · Proceedings of the National Academy of Sciences | Sep 1972 | 929 |
| 41 | Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity Youshan Tao, Michael Winkler · Journal of Differential Equations | 2 Sep 2011 | 910 |
| 42 | Transport of fluid and macromolecules in tumors. I. Role of interstitial pressure and convection Laurence T. Baxter, Rakesh K. Jain · Microvascular Research | 1989 | 907 |
| 43 | Models of dispersal in biological systems Hans G. Othmer, Steven R. Dunbar, Wolfgang Alt · Journal of Mathematical Biology | Jun 1988 | 907 |
| 44 | From 1970 until present: the Keller-Segel model in chemotaxis and its consequences Dirk Horstmann | 10 Jan 2003 | 905 |
| 45 | Adaptive Therapy Robert A. Gatenby, Ariosto Siqueira Silva, Robert J. Gillies et al. · Cancer Research | Jun 2009 | 903 |
| 46 | Dynamical aspects of animal grouping: Swarms, schools, flocks, and herds A OKUBO · Advances in Biophysics | 1986 | 893 |
| 47 | Convergence of least squares learning mechanisms in self-referential linear stochastic models Albert Marcet, Thomas J. Sargent · Journal of Economic Theory | Aug 1989 | 893 |
| 48 | Global-stability problem for coupled systems of differential equations on networks Michael Y. Li, Zhisheng Shuai · Journal of Differential Equations | 22 Sep 2009 | 889 |
| 49 | Do Cells Cycle? James A. H. Smith, L Martin · Proceedings of the National Academy of Sciences | Apr 1973 | 883 |
| 50 | Dynamics of Tumor Growth Anna Kane Laird · British Journal of Cancer | Sep 1964 | 877 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.