## Chemotaxis

 swMATH ID: 7009 Software Authors: Filbet, Francis Description: Chemotaxis: approximation of PDEs models (parabolic, hyperbolic and kinetic models) Homepage: https://www.projet-plume.org/en/relier/chemotaxis Related Software: Matlab; DistMesh; FreeFem++; deal.ii; HE-E1GODF; DUNE; Cytopede; CutFEM; EasyABC; Momocs; R; PolyMesher; Triangle; DGM; Gmsh; ROWMAP; MATLAB ODE suite; ode23s; ode113; Ode15s Cited in: 213 Publications
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### Cited by 303 Authors

 12 Bellomo, Nicola 11 Vauchelet, Nicolas 8 Bellouquid, Abdelghani 8 Carrillo de la Plata, José Antonio 7 Calvez, Vincent 6 Filbet, Francis 6 James, François 6 Kurganov, Alexander 6 Preziosi, Luigi 5 Chertock, Alina E. 5 Epshteyn, Yekaterina 5 Nieto, Juanjo 5 Rodríguez-Bellido, Maria Angeles 5 Rueda-Gómez, Diego Armando 5 Soler, Juan S. 4 Bendahmane, Mostafa 4 Benzakour Amine, M. 4 Bertozzi, Andrea Louise 4 Bianca, Carlo 4 Eftimie, Raluca 4 Gosse, Laurent 4 Guillén González, Francisco M. 4 Harfash, Akil Jassim 4 Klar, Axel 4 Lachowicz, Mirosław 4 Mackenzie, John A. 4 Perthame, Benoît 4 Schmeiser, Christian 4 Surulescu, Christina 3 Akhmouch, M. 3 Ambrosi, Davide 3 Borsche, Raul 3 Buono, Pietro-Luciano 3 Chouhad, Nadia 3 Guarguaglini, Francesca Romana 3 Insall, R. H. 3 Lagoutière, Frédéric 3 Madzvamuse, Anotida 3 Motsch, Sébastien 3 Saad, Mazen 3 Saito, Norikazu 3 Shi, Zuoqiang 3 Shu, Chi-Wang 3 Tao, Youshan 3 Wang, Li 2 Andreianov, Boris 2 Bachini, Elena 2 Bessemoulin-Chatard, Marianne 2 Bournaveas, Nikolaos 2 Brantingham, P. Jeffrey 2 Burini, Diletta 2 Chaplain, Mark A. J. 2 Chauvière, Arnaud 2 Chavanis, Pierre-Henri 2 Chen, Wenbin 2 Degond, Pierre 2 Dogbé, Christian 2 Elliott, Charles M. 2 Feng, Xinlong 2 Ha, Seung-Yeal 2 Hashim, Mohammed Homod 2 Haskovec, Jan 2 Hassan, Sattar M. 2 Hauck, Cory D. 2 Hillen, Thomas 2 Kalliadasis, Serafim 2 Kelkel, Jan 2 Li, Xingjie Helen 2 Li, Zhen 2 Loy, Nadia 2 Natalini, Roberto 2 Perez, Sergio P. 2 Pham, T. N. Ha 2 Putti, Mario 2 Quenjel, EL Houssaine 2 Ribot, Magali 2 Rodriguez, Nancy Y. 2 Schneider, Florian H. 2 Shen, Jie 2 Sokolov, Andrii 2 Strehl, Robert 2 Styles, Vanessa 2 Szymańska, Zuzanna 2 Tagoudjeu, Jacques 2 Turek, Stefan 2 Venkataraman, Chandrasekhar 2 Wang, Mingjun 2 Xiao, Xufeng 2 Yang, Xuguang 2 Yang, Yang 2 Yao, Yao 2 Zagour, Mohamed 2 Zhang, Jiansong 2 Zhang, Rongpei 2 Zhou, Guanyu 2 Zhou, Zhennan 2 Zhu, Jiang 1 Akrid, Thami 1 Arkesteijn, E. C. M. M. 1 Arumugam, Gurusamy ...and 203 more Authors
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### Cited in 80 Serials

 20 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 SIAM Journal on Scientific Computing 10 Computers & Mathematics with Applications 9 Journal of Computational Physics 8 Journal of Mathematical Biology 8 Journal of Computational and Applied Mathematics 8 Mathematical and Computer Modelling 7 Journal of Scientific Computing 6 Kinetic and Related Models 5 SIAM Journal on Numerical Analysis 5 Networks and Heterogeneous Media 4 Journal of Mathematical Analysis and Applications 4 Applied Mathematics and Computation 4 Numerische Mathematik 4 SIAM Journal on Mathematical Analysis 4 Multiscale Modeling & Simulation 4 Journal of Theoretical Biology 3 Nonlinearity 3 Mathematics of Computation 3 Bulletin of Mathematical Biology 3 Calcolo 3 Advances in Computational Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Statistical Physics 2 Journal of Differential Equations 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Applied Mathematical Modelling 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Computational & Mathematical Methods in Medicine 1 Computers and Fluids 1 IMA Journal of Numerical Analysis 1 International Journal of Non-Linear Mechanics 1 Journal of Fluid Mechanics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Studia Mathematica 1 Wave Motion 1 BIT 1 Systems & Control Letters 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Applications of Mathematics 1 Journal of Global Optimization 1 Numerical Algorithms 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 NoDEA. Nonlinear Differential Equations and Applications 1 Engineering Analysis with Boundary Elements 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Abstract and Applied Analysis 1 Journal of Theoretical Medicine 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Milan Journal of Mathematics 1 Mathematical Medicine and Biology 1 International Journal of Numerical Analysis and Modeling 1 Mathematical Biosciences and Engineering 1 Differential Equations & Nonlinear Mechanics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Communications in Computational Physics 1 RIMS Kôkyûroku Bessatsu 1 Nonlinear Analysis. Hybrid Systems 1 International Journal of Biomathematics 1 Rivista di Matematica della Università di Parma. New Series 1 Communications in Applied and Industrial Mathematics 1 Research in the Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Annals of Applied Mathematics 1 Annales Henri Lebesgue 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications
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### Cited in 22 Fields

 166 Partial differential equations (35-XX) 154 Biology and other natural sciences (92-XX) 114 Numerical analysis (65-XX) 25 Statistical mechanics, structure of matter (82-XX) 17 Fluid mechanics (76-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Integral equations (45-XX) 5 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 4 Mechanics of deformable solids (74-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)