Edit Profile (opens in new tab) Othmer, Hans G. Compute Distance To: Compute Author ID: othmer.hans-g Published as: Othmer, Hans G.; Othmer, H. G.; Othmer, Hans more...less Documents Indexed: 87 Publications since 1973 5 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 65 Co-Authors with 82 Joint Publications 1,687 Co-Co-Authors all top 5 Co-Authors 11 single-authored 7 Maini, Philip Kumar 6 Erban, Radek 6 Painter, Kevin J. 5 Aronson, Donald G. 5 Doedel, Eusebius J. 5 Watanabe, Masaji 4 Hu, Jifeng 4 Kim, Yangjin 4 Monk, Peter B. 4 Wang, Qixuan 3 Dallon, John C. 3 Hillen, Thomas 3 Lee, Chang Hyeong 3 Xue, Chuan 2 Alexander, James Crew 2 Dillon, Robert H. 2 Dunbar, Steven R. 2 Gadgil, Chetan J. 2 Horstmann, Dirk 2 Kang, Hye-Won 2 Kevrekidis, Ioannis George 2 Mantzaris, Nikos V. 2 Matzavinos, Anastasios 2 Rapp, Paul E. 2 Stolarska, Magdalena A. 2 Stotsky, Jay Alexander 2 Umulis, David M. 2 Xie, Min 1 Albert, Réka 1 Aldridge, John A. 1 Alt, Wolfgang 1 Ashkenazi, Max 1 Avila Ponce de León, Marco A. 1 Bartmanski, Bartosz Jan 1 Chaplain, Mark A. J. 1 Ciarletta, Pasquale 1 Deutsch, Andreas 1 Félix, Bryan 1 Gear, Charles William 1 Gou, Jia 1 Gracheva, Maria E. 1 Grima, Ramon 1 Hofer, Thomas 1 Hogeweg, Paulien 1 Holden, Arun V. 1 Kan, Xingye 1 Lilly, Bryan 1 Lin, Lin 1 Markus, Mario 1 Panfilov, Alexander V. 1 Pate, E. F. 1 Plesa, Tomislav 1 Ponce Bobadilla, Ana Victoria 1 Ponce de León, Marco Avila 1 Preziosi, Luigi 1 Pugliese, Andrea 1 Schnell, Santiago 1 Scriven, L. E. 1 Setayeshgar, S. 1 Shank, B. Buckhold 1 Soto, Gabriel 1 Spiro, Peter A. 1 Stevens, Angela 1 Tang, Tuanhua 1 Trucu, Dumitru 1 Tyson, John J. 1 Van Oss, Catelijne 1 Webb, Steve 1 Xin, Xiangrong 1 Zheng, Likun all top 5 Serials 20 Journal of Mathematical Biology 12 Bulletin of Mathematical Biology 6 SIAM Journal on Applied Mathematics 5 Mathematical Biosciences 4 Journal of Theoretical Biology 3 Physica D 2 European Journal of Applied Mathematics 2 Multiscale Modeling & Simulation 2 Mathematical Biosciences and Engineering 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics Letters 1 Differential and Integral Equations 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Discrete and Continuous Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 The IMA Volumes in Mathematics and its Applications 1 Lectures on Mathematics in the Life Sciences 1 Lecture Notes in Biomathematics 1 Lecture Notes in Mathematics 1 Mathematical Modelling of Natural Phenomena all top 5 Fields 82 Biology and other natural sciences (92-XX) 26 Partial differential equations (35-XX) 16 Ordinary differential equations (34-XX) 16 Probability theory and stochastic processes (60-XX) 14 Dynamical systems and ergodic theory (37-XX) 7 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 4 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 1,867 times in 1,203 Documents Cited by ▼ Year ▼ Models of dispersal in biological systems. Zbl 0713.92018Othmer, Hans G.; Dunbar, S. R.; Alt, W. 233 1988 Aggregation, blowup, and collapse: the ABC’s of taxis in reinforced random walks. Zbl 0990.35128Othmer, Hans G.; Stevens, Angela 216 1997 The diffusion limit of transport equations. II: Chemotaxis equations. Zbl 1103.35098Othmer, Hans G.; Hillen, Thomas 160 2002 The diffusion limit of transport equations derived from velocity-jump processes. Zbl 1002.35120Hillen, Thomas; Othmer, Hans G. 146 2000 From individual to collective behavior in bacterial chemotaxis. Zbl 1073.35116Erban, Radek; Othmer, Hans G. 93 2004 Multiscale models of taxis-driven patterning in bacterial populations. Zbl 1184.35308Xue, Chuan; Othmer, Hans G. 92 2009 Mathematical modeling of tumor-induced angiogenesis. Zbl 1109.92020Mantzaris, Nikos V.; Webb, Steve; Othmer, Hans G. 77 2004 The dynamics of feedback control circuits in biochemical pathways. Zbl 0448.92010Tyson, John J.; Othmer, Hans G. 66 1978 Pattern formation in generalized Turing systems. I: Steady-state patterns in systems with mixed boundary conditions. Zbl 0829.92001Dillon, R.; Maini, P. K.; Othmer, Hans G. 59 1994 From signal transduction to spatial pattern formation in E. coli: A paradigm for multiscale modeling in biology. Zbl 1073.35205Erban, Radek; Othmer, Hans G. 50 2005 A stochastic analysis of first-order reaction networks. Zbl 1334.92473Gadgil, Chetan; Lee, Chang Hyeong; Othmer, Hans G. 47 2005 Development and applications of a model for cellular response to multiple chemotactic cues. Zbl 0969.92003Painter, K. J.; Maini, P. K.; Othmer, H. G. 42 2000 The qualitative dynamics of a class of biochemical control circuits. Zbl 0334.92001Othmer, H. G. 33 1976 A hybrid model for tumor spheroid growth in vitro. I: Theoretical development and early results. Zbl 1135.92016Kim, Yangjin; Stolarska, Magdalena A.; Othmer, Hans G. 32 2007 A continuum model of motility in ameboid cells. Zbl 1334.92055Gracheva, Maria E.; Othmer, Hans G. 29 2004 Spatial patterns in coupled biochemical oscillators. Zbl 0381.92006Ashkenazi, M.; Othmer, H. G. 24 1978 Taxis equations for amoeboid cells. Zbl 1148.92003Erban, Radek; Othmer, Hans G. 24 2007 Aggregation under local reinforcement: from lattice to continuum. Zbl 1062.92007Horstmann, Dirk; Painter, Kevin J.; Othmer, Hans G. 23 2004 Multi-scale models of cell and tissue dynamics. Zbl 1185.74066Stolarska, Magdalena A.; Kim, Yangjin; Othmer, Hans G. 23 2009 The intersection of theory and application in elucidating pattern formation in developmental biology. Zbl 1181.35297Othmer, H. G.; Painter, K.; Umulis, D.; Xue, C. 22 2009 The effects of cell density and metabolite flux on cellular dynamics. Zbl 0398.92007Othmer, Hans G.; Aldridge, John A. 20 1978 An analytical and numerical study of the bifurcations in a system of linearly-coupled oscillators. Zbl 0624.34029Aronson, D. G.; Doedel, E. J.; Othmer, H. G. 20 1987 A chemotactic model for the advance and retreat of the primitive streak in avian development. Zbl 1323.92036Painter, K. J.; Maini, P. K.; Othmer, H. G. 19 2000 A hybrid model of tumor-stromal interactions in breast cancer. Zbl 1272.92027Kim, Yangjin; Othmer, Hans G. 19 2013 A multi-time-scale analysis of chemical reaction networks. I: Deterministic systems. Zbl 1311.92092Lee, Chang Hyeong; Othmer, Hans G. 17 2010 On the resonance structure in a forced excitable system. Zbl 0778.92008Alexander, James C.; Doedel, Eusebius J.; Othmer, Hans G. 16 1990 On a nonlinear hyperbolic equation describing transmission lines, cell movement, and branching random walks. Zbl 0592.92003Dunbar, Steven R.; Othmer, Hans G. 15 1986 The topology of the regulatory interactions predicts the expression pattern of the segment polarity genes in Drosophila melanogaster. Zbl 1464.92108Albert, Réka; Othmer, Hans G. 14 2003 Current problems in pattern formation. Zbl 0398.92003Othmer, H. G. 13 1977 A new method for choosing the computational cell in stochastic reaction-diffusion systems. Zbl 1263.80020Kang, Hye-Won; Zheng, Likun; Othmer, Hans G. 13 2012 Application of coarse integration to bacterial chemotaxis. Zbl 1082.92012Setayeshgar, S.; Gear, C. W.; Othmer, H. G.; Kevrekidis, I. G. 12 2005 The mathematical analysis of biological aggregation and dispersal: progress, problems and perspectives. Zbl 1347.92114Othmer, Hans G.; Xue, Chuan 11 2013 A continuum model for coupled cells. Zbl 0512.92001Othmer, H. G. 11 1983 An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal. Zbl 1094.35127Erban, Radek; Kevrekidis, Ioannis G.; Othmer, Hans G. 11 2006 Localization in lattice and continuum models of reinforced random walks. Zbl 1041.60044Painter, K. J.; Horstmann, D.; Othmer, H. G. 10 2003 The dynamics of coupled current-biased Josephson junctions. II. Zbl 0756.34039Aronson, D. G.; Doedel, E. J.; Othmer, Hans G. 9 1991 Stochastic analysis of reaction-diffusion processes. Zbl 1297.92036Hu, Jifeng; Kang, Hye-Won; Othmer, Hans G. 8 2014 A “trimer of dimers”-based model for the chemotactic signal transduction network in bacterial chemotaxis. Zbl 1312.92013Xin, Xiangrong; Othmer, Hans G. 8 2012 A multi-time-scale analysis of chemical reaction networks. II: Stochastic systems. Zbl 1353.92049Kan, Xingye; Lee, Chang Hyeong; Othmer, Hans G. 7 2016 Hybrid models of cell and tissue dynamics in tumor growth. Zbl 1326.92015Kim, Yangjin; Othmer, Hans G. 7 2015 A theoretical approach to actin filament dynamics. Zbl 1118.92005Hu, Jifeng; Matzavinos, Anastasios; Othmer, Hans G. 7 2007 A \(G\) protein-based model of adaptation in Dictyostelium discoideum. Zbl 0821.92013Tang, Tuanhua; Othmer, Hans G. 7 1994 Nonlinear wave processes in excitable media. Proceedings of a NATO advanced research workshop, held September 11-15, 1989, in Leeds, United Kingdom. Zbl 0764.92009 7 1991 Wave propagation and blocking in inhomogeneous media. Zbl 1146.35091Aronson, D. G.; Mantzaris, N. V.; Othmer, H. G. 6 2005 Subharmonic resonance and chaos in forced excitable systems. Zbl 0977.92004Othmer, Hans G.; Xie, Min 6 1999 The role of mathematical models in understanding pattern formation in developmental biology. Zbl 1334.92048Umulis, David M.; Othmer, Hans G. 5 2015 A theoretical analysis of filament length fluctuations in actin and other polymers. Zbl 1234.92013Hu, Jifeng; Othmer, Hans G. 5 2011 Synchronized and differentiated modes of cellular dynamics. Zbl 0433.92004Othmer, H. G. 5 1980 Short- and long-range effects of Sonic hedgehog in limb development. Zbl 1109.92007Dillon, Robert; Gadgil, Chetan; Othmer, Hans G. 4 2003 How cellular movement determines the collective force generated by the Dictyostelium discoideum slug. Zbl 1447.92057Dallon, John C.; Othmer, Hans G. 4 2004 A model for signal-relay adaptation in Dictyostelium discoideum. I. Biological processes and the model network. Zbl 0586.92013Rapp, Paul E.; Monk, Peter B.; Othmer, Hans G. 4 1985 Resonance in excitable systems under step-function forcing. II: Subharmonic solutions and persistence. Zbl 0887.92014Xie, Min; Othmer, Hans G.; Watanabe, Masaji 4 1996 Computational analysis of amoeboid swimming at low Reynolds number. Zbl 1341.92011Wang, Qixuan; Othmer, Hans G. 3 2016 Improving parameter inference from FRAP data: an analysis motivated by pattern formation in the Drosophila wing disc. Zbl 1373.92083Lin, Lin; Othmer, Hans G. 3 2017 The performance of discrete models of low Reynolds number swimmers. Zbl 1326.92006Wang, Qixuan; Othmer, Hans G. 3 2015 Synchronization, phase-locking and other phenomena in coupled cells. Zbl 0577.92001Othmer, Hans G. 3 1985 A model for signal-relay adaptation in Dictyostelium discoideum. II. Analytical and numerical results. Zbl 0586.92014Othmer, Hans G.; Monk, Peter B.; Rapp, Paul E. 3 1985 Applications of bifurcation theory in the analysis of spatial and temporal pattern formation. Zbl 0436.35011Othmer, H. G. 3 1979 Resonance in excitable systems under step-function forcing. I: Harmonic solutions. Zbl 0831.92008Othmer, Hans G.; Watanabe, Masaji 3 1994 Relay, oscillations and wave propagation in a model of Dictyostelium discoideum. Zbl 0712.92005Monk, P. B.; Othmer, Hans G. 3 1989 Nonlinear wave propagation in reacting systems. Zbl 0312.92002Othmer, H. G. 3 1975 Noise-induced mixing and multimodality in reaction networks. Zbl 1425.92090Plesa, Tomislav; Erban, Radek; Othmer, Hans G. 3 2019 The effect of heterogeneously-distributed RyR channels on calcium dynamics in cardiac myocytes. Zbl 1323.92089Spiro, Peter A.; Othmer, Hans G. 2 1999 Pattern formation in a cellular slime mold. Zbl 0998.92003Othmer, H. G.; Lilly, B.; Dallon, J. C. 2 2000 The status of the QSSA approximation in stochastic simulations of reaction networks. Zbl 1448.92094Ponce Bobadilla, Ana Victoria; Bartmanski, Bartosz Jan; Grima, Ramon; Othmer, Hans G. 2 2020 On the collapse of the resonance structure in a three-parameter family of coupled oscillators. Zbl 0655.34027Othmer, Hans G.; Watanabe, Masaji 2 1988 Mathematical models for biological pattern formation. Zbl 0951.00030 2 2000 Persistence of invariant tori in systems of coupled oscillators. I: Regular and singular problems. Zbl 0754.34041Watanabe, Masaji; Othmer, Hans G. 2 1991 Persistence of invariant tori in systems of coupled oscillators. II: Degenerate problems. Zbl 0760.34043Watanabe, Masaji; Othmer, Hans G. 2 1991 Models of low Reynolds number swimmers inspired by cell blebbing. Zbl 1378.76170Wang, Qixuan; Hu, Jifeng; Othmer, Hans 1 2012 Getting in shape and swimming: the role of cortical forces and membrane heterogeneity in eukaryotic cells. Zbl 1410.35143Wu, Hao; Ponce de León, Marco Avila; Othmer, Hans G. 1 2018 A random walk approach to transport in tissues and complex media: from microscale descriptions to macroscale models. Zbl 1470.92100Stotsky, Jay A.; Gou, Jia; Othmer, Hans G. 1 2021 Spatiotemporal pattern formation in early development: A review of primitive streak formation and somitogenesis. Zbl 1027.92004Schnell, S.; Painter, K. J.; Maini, P. K.; Othmer, H. G. 1 2000 Pacemakers in aggregation fields of Dictyostelium discoideum: Does a single cell suffice? Zbl 0719.92006DeYoung, G.; Monk, P. B.; Othmer, Hans G. 1 1988 A model for a G-protein-mediated mechanism for synaptic channel modulation. Zbl 1089.92006Soto, Gabriel; Othmer, Hans G. 1 2006 Resonance and phase-locking in excitable systems. Zbl 0693.92005Alexander, J. C.; Doedel, E. J.; Othmer, H. G. 1 1989 On the eigenvalues of the matrix pencil \(A+\mu B\). Zbl 0288.15012Othmer, H. G.; Scriven, L. E. 1 1973 A random walk approach to transport in tissues and complex media: from microscale descriptions to macroscale models. Zbl 1470.92100Stotsky, Jay A.; Gou, Jia; Othmer, Hans G. 1 2021 The status of the QSSA approximation in stochastic simulations of reaction networks. Zbl 1448.92094Ponce Bobadilla, Ana Victoria; Bartmanski, Bartosz Jan; Grima, Ramon; Othmer, Hans G. 2 2020 Noise-induced mixing and multimodality in reaction networks. Zbl 1425.92090Plesa, Tomislav; Erban, Radek; Othmer, Hans G. 3 2019 Getting in shape and swimming: the role of cortical forces and membrane heterogeneity in eukaryotic cells. Zbl 1410.35143Wu, Hao; Ponce de León, Marco Avila; Othmer, Hans G. 1 2018 Improving parameter inference from FRAP data: an analysis motivated by pattern formation in the Drosophila wing disc. Zbl 1373.92083Lin, Lin; Othmer, Hans G. 3 2017 A multi-time-scale analysis of chemical reaction networks. II: Stochastic systems. Zbl 1353.92049Kan, Xingye; Lee, Chang Hyeong; Othmer, Hans G. 7 2016 Computational analysis of amoeboid swimming at low Reynolds number. Zbl 1341.92011Wang, Qixuan; Othmer, Hans G. 3 2016 Hybrid models of cell and tissue dynamics in tumor growth. Zbl 1326.92015Kim, Yangjin; Othmer, Hans G. 7 2015 The role of mathematical models in understanding pattern formation in developmental biology. Zbl 1334.92048Umulis, David M.; Othmer, Hans G. 5 2015 The performance of discrete models of low Reynolds number swimmers. Zbl 1326.92006Wang, Qixuan; Othmer, Hans G. 3 2015 Stochastic analysis of reaction-diffusion processes. Zbl 1297.92036Hu, Jifeng; Kang, Hye-Won; Othmer, Hans G. 8 2014 A hybrid model of tumor-stromal interactions in breast cancer. Zbl 1272.92027Kim, Yangjin; Othmer, Hans G. 19 2013 The mathematical analysis of biological aggregation and dispersal: progress, problems and perspectives. Zbl 1347.92114Othmer, Hans G.; Xue, Chuan 11 2013 A new method for choosing the computational cell in stochastic reaction-diffusion systems. Zbl 1263.80020Kang, Hye-Won; Zheng, Likun; Othmer, Hans G. 13 2012 A “trimer of dimers”-based model for the chemotactic signal transduction network in bacterial chemotaxis. Zbl 1312.92013Xin, Xiangrong; Othmer, Hans G. 8 2012 Models of low Reynolds number swimmers inspired by cell blebbing. Zbl 1378.76170Wang, Qixuan; Hu, Jifeng; Othmer, Hans 1 2012 A theoretical analysis of filament length fluctuations in actin and other polymers. Zbl 1234.92013Hu, Jifeng; Othmer, Hans G. 5 2011 A multi-time-scale analysis of chemical reaction networks. I: Deterministic systems. Zbl 1311.92092Lee, Chang Hyeong; Othmer, Hans G. 17 2010 Multiscale models of taxis-driven patterning in bacterial populations. Zbl 1184.35308Xue, Chuan; Othmer, Hans G. 92 2009 Multi-scale models of cell and tissue dynamics. Zbl 1185.74066Stolarska, Magdalena A.; Kim, Yangjin; Othmer, Hans G. 23 2009 The intersection of theory and application in elucidating pattern formation in developmental biology. Zbl 1181.35297Othmer, H. G.; Painter, K.; Umulis, D.; Xue, C. 22 2009 A hybrid model for tumor spheroid growth in vitro. I: Theoretical development and early results. Zbl 1135.92016Kim, Yangjin; Stolarska, Magdalena A.; Othmer, Hans G. 32 2007 Taxis equations for amoeboid cells. Zbl 1148.92003Erban, Radek; Othmer, Hans G. 24 2007 A theoretical approach to actin filament dynamics. Zbl 1118.92005Hu, Jifeng; Matzavinos, Anastasios; Othmer, Hans G. 7 2007 An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal. Zbl 1094.35127Erban, Radek; Kevrekidis, Ioannis G.; Othmer, Hans G. 11 2006 A model for a G-protein-mediated mechanism for synaptic channel modulation. Zbl 1089.92006Soto, Gabriel; Othmer, Hans G. 1 2006 From signal transduction to spatial pattern formation in E. coli: A paradigm for multiscale modeling in biology. Zbl 1073.35205Erban, Radek; Othmer, Hans G. 50 2005 A stochastic analysis of first-order reaction networks. Zbl 1334.92473Gadgil, Chetan; Lee, Chang Hyeong; Othmer, Hans G. 47 2005 Application of coarse integration to bacterial chemotaxis. Zbl 1082.92012Setayeshgar, S.; Gear, C. W.; Othmer, H. G.; Kevrekidis, I. G. 12 2005 Wave propagation and blocking in inhomogeneous media. Zbl 1146.35091Aronson, D. G.; Mantzaris, N. V.; Othmer, H. G. 6 2005 From individual to collective behavior in bacterial chemotaxis. Zbl 1073.35116Erban, Radek; Othmer, Hans G. 93 2004 Mathematical modeling of tumor-induced angiogenesis. Zbl 1109.92020Mantzaris, Nikos V.; Webb, Steve; Othmer, Hans G. 77 2004 A continuum model of motility in ameboid cells. Zbl 1334.92055Gracheva, Maria E.; Othmer, Hans G. 29 2004 Aggregation under local reinforcement: from lattice to continuum. Zbl 1062.92007Horstmann, Dirk; Painter, Kevin J.; Othmer, Hans G. 23 2004 How cellular movement determines the collective force generated by the Dictyostelium discoideum slug. Zbl 1447.92057Dallon, John C.; Othmer, Hans G. 4 2004 The topology of the regulatory interactions predicts the expression pattern of the segment polarity genes in Drosophila melanogaster. Zbl 1464.92108Albert, Réka; Othmer, Hans G. 14 2003 Localization in lattice and continuum models of reinforced random walks. Zbl 1041.60044Painter, K. J.; Horstmann, D.; Othmer, H. G. 10 2003 Short- and long-range effects of Sonic hedgehog in limb development. Zbl 1109.92007Dillon, Robert; Gadgil, Chetan; Othmer, Hans G. 4 2003 The diffusion limit of transport equations. II: Chemotaxis equations. Zbl 1103.35098Othmer, Hans G.; Hillen, Thomas 160 2002 The diffusion limit of transport equations derived from velocity-jump processes. Zbl 1002.35120Hillen, Thomas; Othmer, Hans G. 146 2000 Development and applications of a model for cellular response to multiple chemotactic cues. Zbl 0969.92003Painter, K. J.; Maini, P. K.; Othmer, H. G. 42 2000 A chemotactic model for the advance and retreat of the primitive streak in avian development. Zbl 1323.92036Painter, K. J.; Maini, P. K.; Othmer, H. G. 19 2000 Pattern formation in a cellular slime mold. Zbl 0998.92003Othmer, H. G.; Lilly, B.; Dallon, J. C. 2 2000 Mathematical models for biological pattern formation. Zbl 0951.00030 2 2000 Spatiotemporal pattern formation in early development: A review of primitive streak formation and somitogenesis. Zbl 1027.92004Schnell, S.; Painter, K. J.; Maini, P. K.; Othmer, H. G. 1 2000 Subharmonic resonance and chaos in forced excitable systems. Zbl 0977.92004Othmer, Hans G.; Xie, Min 6 1999 The effect of heterogeneously-distributed RyR channels on calcium dynamics in cardiac myocytes. Zbl 1323.92089Spiro, Peter A.; Othmer, Hans G. 2 1999 Aggregation, blowup, and collapse: the ABC’s of taxis in reinforced random walks. Zbl 0990.35128Othmer, Hans G.; Stevens, Angela 216 1997 Resonance in excitable systems under step-function forcing. II: Subharmonic solutions and persistence. Zbl 0887.92014Xie, Min; Othmer, Hans G.; Watanabe, Masaji 4 1996 Pattern formation in generalized Turing systems. I: Steady-state patterns in systems with mixed boundary conditions. Zbl 0829.92001Dillon, R.; Maini, P. K.; Othmer, Hans G. 59 1994 A \(G\) protein-based model of adaptation in Dictyostelium discoideum. Zbl 0821.92013Tang, Tuanhua; Othmer, Hans G. 7 1994 Resonance in excitable systems under step-function forcing. I: Harmonic solutions. Zbl 0831.92008Othmer, Hans G.; Watanabe, Masaji 3 1994 The dynamics of coupled current-biased Josephson junctions. II. Zbl 0756.34039Aronson, D. G.; Doedel, E. J.; Othmer, Hans G. 9 1991 Nonlinear wave processes in excitable media. Proceedings of a NATO advanced research workshop, held September 11-15, 1989, in Leeds, United Kingdom. Zbl 0764.92009 7 1991 Persistence of invariant tori in systems of coupled oscillators. I: Regular and singular problems. Zbl 0754.34041Watanabe, Masaji; Othmer, Hans G. 2 1991 Persistence of invariant tori in systems of coupled oscillators. II: Degenerate problems. Zbl 0760.34043Watanabe, Masaji; Othmer, Hans G. 2 1991 On the resonance structure in a forced excitable system. Zbl 0778.92008Alexander, James C.; Doedel, Eusebius J.; Othmer, Hans G. 16 1990 Relay, oscillations and wave propagation in a model of Dictyostelium discoideum. Zbl 0712.92005Monk, P. B.; Othmer, Hans G. 3 1989 Resonance and phase-locking in excitable systems. Zbl 0693.92005Alexander, J. C.; Doedel, E. J.; Othmer, H. G. 1 1989 Models of dispersal in biological systems. Zbl 0713.92018Othmer, Hans G.; Dunbar, S. R.; Alt, W. 233 1988 On the collapse of the resonance structure in a three-parameter family of coupled oscillators. Zbl 0655.34027Othmer, Hans G.; Watanabe, Masaji 2 1988 Pacemakers in aggregation fields of Dictyostelium discoideum: Does a single cell suffice? Zbl 0719.92006DeYoung, G.; Monk, P. B.; Othmer, Hans G. 1 1988 An analytical and numerical study of the bifurcations in a system of linearly-coupled oscillators. Zbl 0624.34029Aronson, D. G.; Doedel, E. J.; Othmer, H. G. 20 1987 On a nonlinear hyperbolic equation describing transmission lines, cell movement, and branching random walks. Zbl 0592.92003Dunbar, Steven R.; Othmer, Hans G. 15 1986 A model for signal-relay adaptation in Dictyostelium discoideum. I. Biological processes and the model network. Zbl 0586.92013Rapp, Paul E.; Monk, Peter B.; Othmer, Hans G. 4 1985 Synchronization, phase-locking and other phenomena in coupled cells. Zbl 0577.92001Othmer, Hans G. 3 1985 A model for signal-relay adaptation in Dictyostelium discoideum. II. Analytical and numerical results. Zbl 0586.92014Othmer, Hans G.; Monk, Peter B.; Rapp, Paul E. 3 1985 A continuum model for coupled cells. Zbl 0512.92001Othmer, H. G. 11 1983 Synchronized and differentiated modes of cellular dynamics. Zbl 0433.92004Othmer, H. G. 5 1980 Applications of bifurcation theory in the analysis of spatial and temporal pattern formation. Zbl 0436.35011Othmer, H. G. 3 1979 The dynamics of feedback control circuits in biochemical pathways. Zbl 0448.92010Tyson, John J.; Othmer, Hans G. 66 1978 Spatial patterns in coupled biochemical oscillators. Zbl 0381.92006Ashkenazi, M.; Othmer, H. G. 24 1978 The effects of cell density and metabolite flux on cellular dynamics. Zbl 0398.92007Othmer, Hans G.; Aldridge, John A. 20 1978 Current problems in pattern formation. Zbl 0398.92003Othmer, H. G. 13 1977 The qualitative dynamics of a class of biochemical control circuits. Zbl 0334.92001Othmer, H. G. 33 1976 Nonlinear wave propagation in reacting systems. Zbl 0312.92002Othmer, H. G. 3 1975 On the eigenvalues of the matrix pencil \(A+\mu B\). Zbl 0288.15012Othmer, H. G.; Scriven, L. E. 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,837 Authors 30 Othmer, Hans G. 29 Painter, Kevin J. 26 Hillen, Thomas 25 Winkler, Michael 24 Bellomo, Nicola 24 Maini, Philip Kumar 17 Perthame, Benoît 16 Surulescu, Christina 16 Wang, Zhian 15 Chaplain, Mark A. J. 14 Byrne, Helen Mary 14 Erban, Radek 13 Zhao, Kun 12 Bellouquid, Abdelghani 12 Calvez, Vincent 12 Zheng, Jiashan 11 Sherratt, Jonathan A. 11 Soler, Juan S. 10 Bianca, Carlo 10 Kevrekidis, Ioannis George 10 Lutscher, Frithjof 9 Preziosi, Luigi 9 Vauchelet, Nicolas 8 Eftimie, Raluca 8 Kim, Yangjin 8 Lowengrub, John Samuel 8 Schmeiser, Christian 8 Velázquez, Juan J. L. 8 Wang, Yulan 8 Xiang, Zhaoyin 8 Xue, Chuan 7 Bressloff, Paul C. 7 Estrada-Rodriguez, Gissell 7 Hwang, Hyung Ju 7 Lorenzi, Tommaso 7 Mackey, Michael Charles 7 Peng, Hongyun 7 Samaey, Giovanni 6 de Vries, Gerda 6 Gosse, Laurent 6 Kim, Yong Jung 6 Lee, Chang Hyeong 6 Morales-Rodrigo, Cristian 6 Müller, Johannes 6 Nieto, Juanjo 6 Owen, Markus Roger 6 Simpson, Matthew J. 6 Wang, Yilong 5 Anderson, David Frederick 5 Baker, Ruth Elizabeth 5 Cao, Xinru 5 Carrillo de la Plata, José Antonio 5 Chalub, Fabio A. C. C. 5 Delgado, Manuel 5 Delitala, Marcello Edoardo 5 Doedel, Eusebius J. 5 Edelstein-Keshet, Leah 5 Friedman, Avner 5 Gaffney, Eamonn A. 5 Gedeon, Tomáš 5 Gimperlein, Heiko 5 Grima, Ramon 5 Kang, Hye-Won 5 Lewis, Mark Alun 5 Li, Tong 5 Loy, Nadia 5 Macfarlane, Fiona R. 5 Mogilner, Aleksander Isaakovich 5 Sontag, Eduardo D. 5 Stinner, Christian 5 Suárez, Antonio 5 Tang, Min 5 Wei, Juncheng 5 Yasuda, Shugo 4 Arcak, Murat 4 Berding, Christoph 4 Corli, Andrea 4 Cristini, Vittorio 4 Dawes, Adriana T. 4 Dillon, Robert H. 4 Engwer, Christian 4 Erneux, Thomas 4 Gerisch, Alf 4 Goudon, Thierry 4 Granero Belinchón, Rafael 4 Hadeler, Karl-Peter 4 Hou, Qianqian 4 Kang, Kyungkeun 4 Kaźmierczak, Bogdan 4 King, John Robert 4 Krause, Andrew L. 4 Lachowicz, Mirosław 4 Landman, Kerry A. 4 Madzvamuse, Anotida 4 Mahaffy, Joseph M. 4 Malaguti, Luisa 4 Méndez, Vicenç 4 Sleeman, Brian David 4 Tao, Youshan 4 Trucu, Dumitru ...and 1,737 more Authors all top 5 Cited in 212 Serials 130 Journal of Mathematical Biology 99 Bulletin of Mathematical Biology 74 Journal of Theoretical Biology 49 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 48 Journal of Differential Equations 38 Mathematical Biosciences 29 Journal of Mathematical Analysis and Applications 26 Mathematical and Computer Modelling 25 Physica D 22 Discrete and Continuous Dynamical Systems. Series B 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Kinetic and Related Models 17 Nonlinear Analysis. Real World Applications 15 Journal of Computational Physics 15 Mathematical Biosciences and Engineering 14 SIAM Journal on Applied Mathematics 13 Computers & Mathematics with Applications 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Discrete and Continuous Dynamical Systems 12 Mathematical Methods in the Applied Sciences 11 Physica A 11 Applied Mathematics Letters 11 Journal of Mathematical Chemistry 10 Applied Mathematics and Computation 10 European Journal of Applied Mathematics 10 Journal of Nonlinear Science 10 Chaos 9 Automatica 9 Journal of Computational and Applied Mathematics 9 Calculus of Variations and Partial Differential Equations 8 Chaos, Solitons and Fractals 8 Multiscale Modeling & Simulation 7 Journal of Statistical Physics 7 SIAM Journal on Mathematical Analysis 7 NoDEA. Nonlinear Differential Equations and Applications 7 Journal of Biological Dynamics 7 Discrete and Continuous Dynamical Systems. Series S 6 Computer Methods in Applied Mechanics and Engineering 6 Nonlinearity 6 Acta Applicandae Mathematicae 6 Journal of Statistical Mechanics: Theory and Experiment 6 Mathematical Modelling of Natural Phenomena 5 Communications in Nonlinear Science and Numerical Simulation 5 SIAM Journal on Applied Dynamical Systems 4 Applicable Analysis 4 Biological Cybernetics 4 Rocky Mountain Journal of Mathematics 4 Systems & Control Letters 4 Applied Numerical Mathematics 4 Applied Mathematical Modelling 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Communications on Pure and Applied Analysis 4 Nonlinear Analysis. Hybrid Systems 4 Nonlinear Analysis. Theory, Methods & Applications 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Physics 3 Numerische Mathematik 3 Studies in Applied Mathematics 3 Neural Computation 3 Communications in Partial Differential Equations 3 Journal of Dynamics and Differential Equations 3 SIAM Journal on Scientific Computing 3 Journal of Difference Equations and Applications 3 Nonlinear Dynamics 3 Abstract and Applied Analysis 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Discrete Dynamics in Nature and Society 3 Boundary Value Problems 3 Computational & Mathematical Methods in Medicine 3 Journal of Physics A: Mathematical and Theoretical 3 International Journal of Biomathematics 3 The Journal of Mathematical Neuroscience 3 Advances in Nonlinear Analysis 3 AIMS Mathematics 2 Communications on Pure and Applied Mathematics 2 International Journal of Control 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Journal of the Franklin Institute 2 Physics Reports 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Probability 2 BIT 2 Indiana University Mathematics Journal 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 Statistics & Probability Letters 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Japan Journal of Industrial and Applied Mathematics 2 The Annals of Applied Probability 2 Applications of Mathematics 2 Linear Algebra and its Applications 2 SIAM Review 2 Stochastic Processes and their Applications 2 Bulletin of the American Mathematical Society. New Series 2 Mathematics and Mechanics of Solids 2 Computing and Visualization in Science ...and 112 more Serials all top 5 Cited in 41 Fields 919 Biology and other natural sciences (92-XX) 667 Partial differential equations (35-XX) 158 Probability theory and stochastic processes (60-XX) 131 Numerical analysis (65-XX) 113 Ordinary differential equations (34-XX) 88 Statistical mechanics, structure of matter (82-XX) 81 Dynamical systems and ergodic theory (37-XX) 61 Fluid mechanics (76-XX) 58 Systems theory; control (93-XX) 37 Integral equations (45-XX) 23 Mechanics of deformable solids (74-XX) 22 Computer science (68-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Operator theory (47-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Combinatorics (05-XX) 13 Statistics (62-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Information and communication theory, circuits (94-XX) 8 Operations research, mathematical programming (90-XX) 7 General and overarching topics; collections (00-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Mechanics of particles and systems (70-XX) 4 Difference and functional equations (39-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Optics, electromagnetic theory (78-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year