Mathematical Biology: II: Spatial Models and Biomedical Applications
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
An important consequence of the emergence of gene regulation is the possibility of pattern-forming processes across scales, from cells to organisms.
“An important consequence of the emergence of gene regulation is the possibility of pattern-forming processes across scales, from cells to organisms [205].”
From Fundamental constraints to the logic of living systems (2024) · cites this paper as [205]
Cites
&NA; (1973) · Plastic & Reconstructive Surgery · doi:10.1097/00006534-197352040-00020 · Cited by 266 · see citing works
Temperature-dependent sex determination.
Valenzuela, N. (2004) · Cited by 175 · see citing works
A Mechanical Theory of Vascular Network Formation
Murray, J. D. (1993) · Interdisciplinary applied mathematics · doi:10.1007/0-387-22438-6_8 · Cited by 5 · see citing works
Self-citationMechanical Theory for Generating Pattern and Form in Development
Murray, J. D. (1993) · Interdisciplinary applied mathematics · doi:10.1007/0-387-22438-6_6 · Cited by 4 · see citing works
Self-citationModelling the Dynamics of Marital Interaction: Divorce Prediction and Marriage Repair
Murray, J. D. (1993) · Interdisciplinary applied mathematics · doi:10.1007/978-0-387-22437-4_5 · Cited by 3 · see citing works
Self-citationImbihl, R. (2020) · Wiley eBooks · doi:10.1002/9783527809080.cataz11210 · Cited by 2 · see citing works
Discrete Growth Models for Interacting Populations
Murray, J. D. (1989) · Springer eBooks · doi:10.1007/978-3-662-08539-4_4 · Cited by 1 · see citing works
Self-citation
Flagged first, then by citations
Cited by
Sorted by citations
Hydrodynamics of soft active matter
Marchetti, M. C., Joanny, J., Ramaswamy, S., Liverpool, T. B., Prost, J., Rao, M., & Simha, R. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.1143 · Cited by 4,071 · see citing works
The scaling laws of human travel
Brockmann, D., Hufnagel, L., & Geisel, T. (2006) · Nature · doi:10.1038/nature04292 · Cited by 2,182 · see citing works
A user’s guide to PDE models for chemotaxis
Hillen, T., & Painter, K. J. (2008) · Journal of Mathematical Biology · doi:10.1007/s00285-008-0201-3 · Cited by 1,618 · see citing works
Watts, D. J. (2004) · Annual Review of Sociology · doi:10.1146/annurev.soc.30.020404.104342 · Cited by 1,168 · see citing works
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
Bellomo, N., Bellouquid, A., Tao, Y., & Winkler, M. (2015) · Mathematical Models and Methods in Applied Sciences · doi:10.1142/s021820251550044x · Cited by 1,055 · see citing works
Spatial Synchrony in Population Dynamics
Liebhold, A. M., Koenig, W. D., & Bjørnstad, O. N. (2004) · Annual Review of Ecology Evolution and Systematics · doi:10.1146/annurev.ecolsys.34.011802.132516 · Cited by 957 · see citing works
Social-ecological systems as complex adaptive systems: modeling and policy implications
Levin, S. A., Xepapadeas, T., Crépin, A., Norberg, J., de Zeeuw, A. J., Folke, C., Hughes, T. P., Arrow, K. J., Barrett, S. A., Daily, G. C., et al. (2012) · Environment and Development Economics · doi:10.1017/s1355770x12000460 · Cited by 821 · see citing works
Human Well-Being and the Natural Environment
Dasgupta, P. S. (2001) · doi:10.1093/0199247889.001.0001 · Cited by 813 · see citing works
Accurate Path Integration in Continuous Attractor Network Models of Grid Cells
Burak, Y., & Fiete, I. R. (2009) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000291 · Cited by 779 · see citing works
Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
Liang, X., & Zhao, X. (2006) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.20154 · Cited by 731 · see citing works
The online competition between pro- and anti-vaccination views
Johnson, N. F., Velásquez, N., Restrepo, N. J., Leahy, R., Gabriel, N., Oud, S. E., Zheng, M., Manrique, P. D., Wuchty, S., & Lupu, Y. (2020) · Nature · doi:10.1038/s41586-020-2281-1 · Cited by 704 · see citing works
Oscillations and variability in the p53 system
Geva‐Zatorsky, N., Rosenfeld, N., Itzkovitz, S., Milo, R., Sigal, A., Dekel, E., Yarnitzky, T., Liron, Y., Polak, P. P., Lahav, G., et al. (2006) · Molecular Systems Biology · doi:10.1038/msb4100068 · Cited by 640 · see citing works
Cates, M. E. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/4/042601 · Cited by 504 · see citing works
On the construction of Lyapunov functions using the sum of squares decomposition
Papachristodoulou, A., & Prajna, S. (2003) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2002.1184414 · Cited by 466 · see citing works
Turing patterns in network-organized activator–inhibitor systems
Nakao, H., & Mikhailov, A. S. (2010) · Nature Physics · doi:10.1038/nphys1651 · Cited by 429 · see citing works
Spiral Waves in Disinhibited Mammalian Neocortex
Huang, X., Troy, W. C., Yang, Q., Ma, H., Laing, C. R., Schiff, S. J., & Wu, J. (2004) · Journal of Neuroscience · doi:10.1523/jneurosci.2705-04.2004 · Cited by 388 · see citing works
Human brain networks function in connectome-specific harmonic waves
Atasoy, S., Donnelly, I., & Pearson, J. (2016) · Nature Communications · doi:10.1038/ncomms10340 · Cited by 381 · see citing works
Interactions between zebrafish pigment cells responsible for the generation of Turing patterns
Nakamasu, A., Takahashi, G., Kanbe, A., & Kondo, S. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0808622106 · Cited by 367 · see citing works
A Simulation-Based Approach to Understanding the Dynamics of Innovation Implementation
Repenning, N. P. (2002) · Organization Science · doi:10.1287/orsc.13.2.109.535 · Cited by 338 · see citing works
On the effects of migration and spatial heterogeneity on single and multiple species
Lou, Y. (2005) · Journal of Differential Equations · doi:10.1016/j.jde.2005.05.010 · Cited by 322 · see citing works
Chaplain, M. A. J., & Lolas, G. (2005) · Mathematical Models and Methods in Applied Sciences · doi:10.1142/s0218202505000947 · Cited by 315 · see citing works
Cross-diffusion and pattern formation in reaction–diffusion systems
Ванаг, В. К., & Epstein, I. R. (2008) · Physical Chemistry Chemical Physics · doi:10.1039/b813825g · Cited by 310 · see citing works
Riccardi, D., Schaefer, P., Yang, Y., Yu, H. B., Ghosh, N., Prat‐Resina, X., König, P., Li, G., Xu, D., Guo, H., et al. (2006) · The Journal of Physical Chemistry B · doi:10.1021/jp056361o · Cited by 300 · see citing works
Arrested phase separation in reproducing bacteria creates a generic route to pattern formation
Cates, M. E., Marenduzzo, D., Pagonabarraga, I., & Tailleur, J. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1001994107 · Cited by 290 · see citing works
Swanson, K. R., Rostomily, R., & Alvord, E. C. (2007) · British Journal of Cancer · doi:10.1038/sj.bjc.6604125 · Cited by 281 · see citing works
Rockne, R. C., Rockhill, J. K., Mrugała, M. M., Spence, A. M., Kalet, I. J., Hendrickson, K. R. G., Lai, A., Cloughesy, T. F., Alvord, E. C., & Swanson, K. R. (2010) · Physics in Medicine and Biology · doi:10.1088/0031-9155/55/12/001 · Cited by 278 · see citing works
Pattern Formation in Self-Propelled Particles with Density-Dependent Motility
Farrell, F., Marchetti, M. C., Marenduzzo, D., & Tailleur, J. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.248101 · Cited by 276 · see citing works
Mathematical modeling of population dynamics with Allee effect
Sun, G. (2016) · Nonlinear Dynamics · doi:10.1007/s11071-016-2671-y · Cited by 261 · see citing works
Henry, B. I., Langlands, T. A. M., & Wearne, S. L. (2006) · Physical Review E · doi:10.1103/physreve.74.031116 · Cited by 254 · see citing works
A tutorial on sum of squares techniques for systems analysis
Papachristodoulou, A., & Prajna, S. (2005) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2005.1470374 · Cited by 250 · see citing works
Spreading dynamics in complex networks
Pei, S., & Makse, H. A. (2013) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2013/12/p12002 · Cited by 249 · see citing works
Evaluating Projects and Assessing Sustainable Development in Imperfect Economies
Arrow, K. J., Dasgupta, P. S., & Mäler, K.-G. (2003) · Environmental and Resource Economics · doi:10.1023/b:eare.0000007353.78828.98 · Cited by 243 · see citing works
Stability and Bifurcation Analysis of a Three-Species Food Chain Model with Fear
Panday, P., Pal, N., Samanta, S., & Chattopadhyay, J. (2018) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127418500098 · Cited by 230 · see citing works
Cowin, S. C. (2004) · Annual Review of Biomedical Engineering · doi:10.1146/annurev.bioeng.6.040803.140250 · Cited by 228 · see citing works
Route driven gossip: probabilistic reliable multicast in ad hoc networks
Luo, J., Eugster, P. T., & Hubaux, J. (2003) · IEEE Conference on Computer Communications (INFOCOM) · doi:10.1109/infcom.2003.1209243 · Cited by 227 · see citing works
Supply Chain Coordination and Influenza Vaccination
Chick, S. E., Mamani, H., & Simchi‐Levi, D. (2008) · Operations Research · doi:10.1287/opre.1080.0527 · Cited by 224 · see citing works
Purwins, H. ‐., Bödeker, H. U., & Amiranashvili, S. (2010) · Advances In Physics · doi:10.1080/00018732.2010.498228 · Cited by 224 · see citing works
Barbier, N., Couteron, P., Lejoly, J., Deblauwe, V., & LEJEUNE, O. (2006) · Journal of Ecology · doi:10.1111/j.1365-2745.2006.01126.x · Cited by 219 · see citing works
ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
Li, J., & Chen, G. (2007) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127407019858 · Cited by 218 · see citing works
Vogt, G., Huber, M., Thiemann, M., van den Boogaart, G., Schmitz, O. J., & Schubart, C. D. (2008) · Journal of Experimental Biology · doi:10.1242/jeb.008755 · Cited by 216 · see citing works
Genetic demixing and evolution in linear stepping stone models
Korolev, K. S., Avlund, M., Hallatschek, O., & Nelson, D. R. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1691 · Cited by 210 · see citing works
Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
Henry, B. I., & Wearne, S. L. (2002) · SIAM Journal on Applied Mathematics · doi:10.1137/s0036139900375227 · Cited by 203 · see citing works
Yamaguchi, M., Yoshimoto, E., & Kondo, S. (2007) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0607790104 · Cited by 203 · see citing works
Negative Feedback Enhances Robustness in the Yeast Polarity Establishment Circuit
Howell, A. S., Jin, M., Wu, C.-F., Zyla, T. R., Elston, T. C., & Lew, D. J. (2012) · Cell · doi:10.1016/j.cell.2012.03.012 · Cited by 202 · see citing works
Stabilization in a two-species chemotaxis system with a logistic source
Tello, J. I., & Winkler, M. (2012) · Nonlinearity · doi:10.1088/0951-7715/25/5/1413 · Cited by 202 · see citing works
Strong inter-population cooperation leads to partner intermixing in microbial communities
Momeni, B., Brileya, K. A., Fields, M. W., & Shou, W. (2013) · eLife · doi:10.7554/elife.00230 · Cited by 199 · see citing works
A Mass Conserved Reaction-Diffusion System Captures Properties of Cell Polarity
Otsuji, M., Ishihara, S., Co, C., Kaibuchi, K., Mochizuki, A., & Kuroda, S. (2005) · PLoS Computational Biology · doi:10.1371/journal.pcbi.0030108 · Cited by 198 · see citing works
Directional persistence of chemotactic bacteria in a traveling concentration wave
Saragosti, J., Calvez, V., Bournaveas, N., Benoît Perthame, B., Buguin, A., & Silberzan, P. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1101996108 · Cited by 196 · see citing works
Reaction‐Diffusion Systems in Intracellular Molecular Transport and Control
Soh, S., Byrska, M., Kandere‐Grzybowska, K., & Grzybowski, B. A. (2010) · Angewandte Chemie International Edition · doi:10.1002/anie.200905513 · Cited by 194 · see citing works
Absence of collapse in a parabolic chemotaxis system with signal‐dependent sensitivity
Winkler, M. (2010) · Mathematische Nachrichten · doi:10.1002/mana.200810838 · Cited by 193 · see citing works
Input-to-state stability of infinite-dimensional control systems
Dashkovskiy, S. N., & Mironchenko, A. (2012) · Mathematics of Control Signals and Systems · doi:10.1007/s00498-012-0090-2 · Cited by 192 · see citing works
Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
Padrón, V. (2003) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-03-03340-3 · Cited by 189 · see citing works
Biophysical models of tumour growth
Tracqui, P. (2009) · Reports on Progress in Physics · doi:10.1088/0034-4885/72/5/056701 · Cited by 182 · see citing works
Deep Physical Informed Neural Networks for Metamaterial Design
Fang, Z., & Zhan, J. (2019) · IEEE Access · doi:10.1109/access.2019.2963375 · Cited by 178 · see citing works
Pattern formation of an epidemic model with diffusion
Sun, G. (2012) · Nonlinear Dynamics · doi:10.1007/s11071-012-0330-5 · Cited by 175 · see citing works
Bellomo, N., Bingham, R. J., Chaplain, M. A. J., Giovanni Dosi, A., Forni, G., Knopoff, D. A., Lowengrub, J. S., Twarock, R., & Virgillito, M. E. (2020) · Mathematical Models and Methods in Applied Sciences · doi:10.1142/s0218202520500323 · Cited by 172 · see citing works
PDE Methods for Nonlocal Models
Laing, C. R., & Troy, W. C. (2003) · SIAM Journal on Applied Dynamical Systems · doi:10.1137/030600040 · Cited by 169 · see citing works
Spatiotemporal complexity of a ratio-dependent predator-prey system
Wang, W., Liu, Q., & Jin, Z. (2007) · Physical Review E · doi:10.1103/physreve.75.051913 · Cited by 168 · see citing works
GENETICS OF FLUCTUATING ASYMMETRY: A DEVELOPMENTAL MODEL OF DEVELOPMENTAL INSTABILITY
Klingenberg, C. P., & Nijhout, H. F. (1999) · Evolution · doi:10.1111/j.1558-5646.1999.tb03772.x · Cited by 167 · see citing works
The smallest chemical reaction system with bistability
Wilhelm, T. E. (2009) · BMC Systems Biology · doi:10.1186/1752-0509-3-90 · Cited by 166 · see citing works
Keller-Segel Chemotaxis Models: A Review
Gurusamy, A., & Tyagi, J. (2020) · Acta Applicandae Mathematicae · doi:10.1007/s10440-020-00374-2 · Cited by 165 · see citing works
Why the leopard got its spots: relating pattern development to ecology in felids
Allen, W. L., Cuthill, I. C., Scott‐Samuel, N. E., & Baddeley, R. (2010) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.2010.1734 · Cited by 164 · see citing works
Chaos in low-dimensional Lotka–Volterra models of competition
Vano, J. A., Wildenberg, J. C., Anderson, M. B., Noel, J., & Sprott, J. C. (2006) · Nonlinearity · doi:10.1088/0951-7715/19/10/006 · Cited by 160 · see citing works
Ullah, G., Cressman, J. R., Barreto, E., & Schiff, S. J. (2008) · Journal of Computational Neuroscience · doi:10.1007/s10827-008-0130-6 · Cited by 158 · see citing works
A finite volume scheme for the Patlak–Keller–Segel chemotaxis model
Filbet, F. (2006) · Numerische Mathematik · doi:10.1007/s00211-006-0024-3 · Cited by 157 · see citing works
Mechanically Driven Growth of Quasi-Two-Dimensional Microbial Colonies
Farrell, F., Hallatschek, O., Marenduzzo, D., & Waclaw, B. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.168101 · Cited by 152 · see citing works
Tewary, M., Östblom, J., Prochazka, L., Zulueta-Coarasa, T., Shakiba, N., Fernández‐González, R., & Zandstra, P. W. (2017) · Development · doi:10.1242/dev.149658 · Cited by 152 · see citing works
Stochastic Turing patterns in the Brusselator model
Biancalani, T., Fanelli, D., & Patti, F. D. (2010) · Physical Review E · doi:10.1103/physreve.81.046215 · Cited by 148 · see citing works
Selective sweeps in growing microbial colonies
Korolev, K. S., Müller, M. J. I., Karahan, N., Murray, A. W., Hallatschek, O., & Nelson, D. R. (2012) · Physical Biology · doi:10.1088/1478-3975/9/2/026008 · Cited by 147 · see citing works
Marcon, L., Diego, X., Sharpe, J. A., & Müller, P. (2016) · eLife · doi:10.7554/elife.14022 · Cited by 147 · see citing works
Modelling of anisotropic growth in biological tissues
Menzel, A. (2004) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-004-0047-6 · Cited by 147 · see citing works
COEVOLUTIONARY CLINES ACROSS SELECTION MOSAICS
Nuismer, S. L., Thompson, J. N., & Gomulkiewicz, R. S. (2000) · Evolution · doi:10.1111/j.0014-3820.2000.tb00546.x · Cited by 145 · see citing works
Periostin modulates myofibroblast differentiation during full-thickness cutaneous wound repair
Elliott, C. G., Wang, J., Guo, X., Shiwen, X., Eastwood, M., Guan, J., Leask, A., Conway, S. J., & Hamilton, D. W. (2012) · Journal of Cell Science · doi:10.1242/jcs.087841 · Cited by 144 · see citing works
Vogt, G. (2015) · Journal of Biosciences · doi:10.1007/s12038-015-9506-8 · Cited by 141 · see citing works
Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics
Lou, Y. (2008) · Lecture notes in mathematics · doi:10.1007/978-3-540-74331-6_5 · Cited by 139 · see citing works
Clustering and Pattern Formation in Chemorepulsive Active Colloids
Liebchen, B., Marenduzzo, D., Pagonabarraga, I., & Cates, M. E. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.258301 · Cited by 138 · see citing works
Strategies for direct volume rendering of diffusion tensor fields
Kindlmann, G., Weinstein, D. M., & Hart, D. (2000) · IEEE Transactions on Visualization and Computer Graphics · doi:10.1109/2945.856994 · Cited by 137 · see citing works
SMALL WORLD AND SCALE FREE MODEL OF TRANSMISSION OF SARS
SMALL, M. P., & Tse, C. K. (2005) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127405012776 · Cited by 136 · see citing works
Towards model-based control of Parkinson's disease
Schiff, S. J. (2010) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2010.0050 · Cited by 136 · see citing works
The control of branching morphogenesis
Iber, D., & Menshykau, D. (2013) · Open Biology · doi:10.1098/rsob.130088 · Cited by 135 · see citing works
A short proof of the logarithmic Bramson correction in Fisher-KPP equations
François Hamel, A., U. D.-M., Nolen, J., Roquejoffre, J., Ryzhik, L., & I. D. M. (2013) · Networks and Heterogeneous Media · doi:10.3934/nhm.2013.8.275 · Cited by 133 · see citing works
A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces
Fuselier, E. J., & Wright, G. B. (2013) · Journal of Scientific Computing · doi:10.1007/s10915-013-9688-x · Cited by 128 · see citing works
Spatial Waves in Synthetic Biochemical Networks
Padirac, A., Fujii, T., Estevez‐Torres, A., & Rondelez, Y. (2013) · Journal of the American Chemical Society · doi:10.1021/ja403584p · Cited by 127 · see citing works
Biomechanics of Cardiovascular Development
Taber, L. A. (2001) · Annual Review of Biomedical Engineering · doi:10.1146/annurev.bioeng.3.1.1 · Cited by 127 · see citing works
Influence of isolation degree of spatial patterns on persistence of populations
Sun, G., Wu, Z., Wang, Z., & Jin, Z. (2015) · Nonlinear Dynamics · doi:10.1007/s11071-015-2369-6 · Cited by 125 · see citing works
Periostin as a multifunctional modulator of the wound healing response
Walker, J. T., McLeod, K., Kim, S., Conway, S. J., & Hamilton, D. W. (2016) · Cell and Tissue Research · doi:10.1007/s00441-016-2426-6 · Cited by 125 · see citing works
Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals
Tao, Y., & Winkler, M. (2015) · Discrete and Continuous Dynamical Systems - B · doi:10.3934/dcdsb.2015.20.3165 · Cited by 125 · see citing works
Turing pattern formation in fractional activator-inhibitor systems
Henry, B. I., Langlands, T. A. M., & Wearne, S. L. (2005) · Physical Review E · doi:10.1103/physreve.72.026101 · Cited by 125 · see citing works
Modelling cell motility and chemotaxis with evolving surface finite elements
Elliott, C. M., Stinner, B., & Venkataraman, C. (2012) · Journal of The Royal Society Interface · doi:10.1098/rsif.2012.0276 · Cited by 124 · see citing works
Mathematical modeling of brain tumors: effects of radiotherapy and chemotherapy
Powathil, G., Kohandel, M., Sivaloganathan, S., Oza, A. M., & Milosevic, M. (2007) · Physics in Medicine and Biology · doi:10.1088/0031-9155/52/11/023 · Cited by 124 · see citing works
A Theoretical Study of Different Leader Roles in Networks
Wang, W., & Slotine, J.-J. E. (2006) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2006.878754 · Cited by 124 · see citing works
The Economics of Non-Convex Ecosystems: Introduction
Dasgupta, P. S., & Mäler, K.-G. (2003) · Environmental and Resource Economics · doi:10.1023/b:eare.0000007347.37345.55 · Cited by 121 · see citing works
Diffusive spatial movement with memory and maturation delays
Shi, J., Wang, C., & Hao Wang, A. (2019) · Nonlinearity · doi:10.1088/1361-6544/ab1f2f · Cited by 120 · see citing works
Input-to-state stability of infinite-dimensional control systems
Mironchenko, A. (2012) · State and University Library Bremen · Cited by 120 · see citing works
Motility-induced phase separation and coarsening in active matter
Gonnella, G., Marenduzzo, D., Suma, A., & Tiribocchi, A. (2015) · Comptes Rendus Physique · doi:10.1016/j.crhy.2015.05.001 · Cited by 120 · see citing works
A mathematical model of ischemic cutaneous wounds
Xue, C., Friedman, A., & Sen, C. K. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0909115106 · Cited by 118 · see citing works
Modelling cell migration strategies in the extracellular matrix
Painter, K. J. (2008) · Journal of Mathematical Biology · doi:10.1007/s00285-008-0217-8 · Cited by 118 · see citing works
A mathematical model of wound healing and subsequent scarring
Cumming, B., McElwain, D. L. S., & Upton, Z. (2009) · Journal of The Royal Society Interface · doi:10.1098/rsif.2008.0536 · Cited by 117 · see citing works
Selective Sweeps in Growing Microbial ColoniesPreprint
Korolev, K. S., Müller, M. J. I., Karahan, N., Murray, A. W., Hallatschek, O., & Nelson, D. R. (2012) · Cited by 116 · see citing works
Correcting mean-field approximations for birth-death-movement processes
Baker, R. E., & Simpson, M. J. (2010) · Physical Review E · doi:10.1103/physreve.82.041905 · Cited by 114 · see citing works
- Authors
- Murray, J. D.
- Affiliations
- University of Washington (US)
- Corresponding author
- J. D. Murray
- Venue
- Interdisciplinary Applied Mathematics
- Publisher
- Springer New York
- Published
- 2003
- ISSN
- 0939-6047 (ISSN-L)
- 2196-9973
- OpenAlex
- W4250716583
- Cited by
- 2,293
- References
- 7
- Citations by year
- 2026: 133 · 2025: 137 · 2024: 107 · 2023: 95 · 2022: 94 · 2021: 131 · 2020: 124 · 2019: 85 · 2018: 102 · 2017: 84 · 2016: 104 · 2015: 96 · 2014: 101 · 2013: 118 · 2012: 143
- FWCI
- 79.67
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Interdisciplinary applied mathematics (publishedVersion)
- Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) (submittedVersion)
- Topics
- Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
- Physical Sciences › Mathematics › Modeling and Simulation › Mathematical Biology Tumor Growth
- Physical Sciences › Mathematics › Modeling and Simulation › Mathematical and Computational Methods
- Keywords
- mathematical biology, spatial modeling, wound healing
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review