Edit Profile (opens in new tab) Perelson, Alan S. Co-Author Distance Author ID: perelson.alan-s Published as: Perelson, Alan S.; Perelson, A. S.; Perelson, Alan; Perelson, A. more...less Documents Indexed: 118 Publications since 1975, including 2 Books 4 Contributions as Editor · 1 Further Contribution Co-Authors: 144 Co-Authors with 110 Joint Publications 2,850 Co-Co-Authors all top 5 Co-Authors 13 single-authored 8 De Boer, Rob J. 8 Macken, Catherine A. 8 Rong, Libin 7 Oster, George F. 6 Nelson, Patrick W. 6 Ribeiro, Ruy M. 6 Wu, Hulin 5 Miao, Hongyu 5 Percus, Jerome K. 4 Feng, Zhilan 4 Forrest, Stephanie 4 Gilchrist, Michael A. 4 Ho, David D. 4 Percus, Ora Engelberg 4 Segel, Lee Aaron 3 Coombs, Daniel 3 Di Mascio, Michele 3 Kepler, Thomas B. 3 Lee, Ha Youn 3 Markowitz, Martin 3 Smith, Derek J. 3 Sulzer, Bernhard 2 Ackley, David H. 2 Bhattacharya, Tanmoy 2 Dahari, Harel 2 Dixit, Narendra M. 2 Ganusov, Vitaly V. 2 Giorgi, Elena Edi 2 Goldstein, Byron 2 Hlavacek, William S. 2 Hodgkin, Philip D. 2 Hyman, James M. 2 Kevrekidis, Ioannis George 2 Korber, Bette T. 2 Mirmirani, Majdedin 2 Murray, James Dickson 2 Neumann, Avidan U. 2 Reluga, Timothy C. 2 Schuster, Peter 2 Wiegel, Frederik W. 2 Wofsy, Carla 1 Adler, Frederick R. 1 Akin, Elvan 1 Albert, Arthur 1 Allen, Linda J. S. 1 Anderson, Russell W. 1 Athreya, Gayathri S. 1 Bard, J. L. B. 1 Beauchemin, Catherine A. A. 1 Bell, George I. 1 Berk, Richard A. 1 Bickel, Peter John 1 Bishop, Alan Reginald 1 Boerlijst, Maarten C. 1 Brendel, Volker 1 Busch, Michael P. 1 Callaway, Duncan S. 1 Campbell, Katherine 1 Cavenaugh, James 1 Chao, Dennis L. 1 Ciupe, Stanca M. 1 Conway, Jessica M. 1 Coutsias, Evangelos A. 1 Davenport, Miles P. 1 DeLisi, Charles 1 Delwart, Eric L. 1 Dembo, Micah 1 Demeter, Lisa M. 1 Detours, Vincent 1 Drusano, George L. 1 Dykes, Carrie 1 Edelstein-Keshet, Leah 1 Fishman, Michael A. 1 Fovell, Robert 1 Frauenfelder, Hans 1 Freedman, Marvin I. 1 Garcia, Angel 1 Gaschen, Brian 1 Ghozlan, A. 1 Goepfert, Paul A. 1 Goldbeter, Albert 1 Graw, Frederik 1 Grenfell, Bryan T. 1 Hagan, Patrick S. 1 Hahn, Beatrice H. 1 Hastings, Alan Matthew 1 Hawkins, Edwin 1 Jacquez, John A. 1 Jin, Xia 1 Jonesa, Laura E. 1 Keele, Brandon F. 1 Keller-McNulty, Sallie 1 Kelly, Elizabeth 1 Kirschner, Denise E. 1 Kuznetsov, Vladimir A. 1 Levin, Simon Asher 1 Levitzki, A. 1 Linn, Rodman 1 Liron, Nadav 1 Lo, Arthur ...and 58 more Co-Authors all top 5 Serials 24 Bulletin of Mathematical Biology 16 Mathematical Biosciences 15 Journal of Theoretical Biology 13 Journal of Mathematical Biology 6 SIAM Journal on Applied Mathematics 5 Proceedings of the National Academy of Sciences of the United States of America 3 SIAM Review 2 Rocky Mountain Journal of Mathematics 2 Integral Equations and Operator Theory 2 IMA Journal of Mathematics Applied in Medicine and Biology 2 Journal of Dynamic Systems, Measurement and Control 2 Mathematical Biosciences and Engineering 2 Lecture Notes in Biomathematics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 International Journal of Circuit Theory and Applications 1 Journal of Computational and Applied Mathematics 1 Operations Research 1 Acta Applicandae Mathematicae 1 Physica D 1 Statistical Science 1 Multiscale Modeling & Simulation 1 Journal of Statistical Mechanics: Theory and Experiment 1 Science all top 5 Fields 115 Biology and other natural sciences (92-XX) 15 Ordinary differential equations (34-XX) 14 Probability theory and stochastic processes (60-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Numerical analysis (65-XX) 7 Systems theory; control (93-XX) 5 Combinatorics (05-XX) 5 Statistics (62-XX) 4 Partial differential equations (35-XX) 4 Integral equations (45-XX) 4 Information and communication theory, circuits (94-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 3,578 times in 1,978 Documents Cited by ▼ Year ▼ Mathematical analysis of HIV-1 dynamics in vivo. Zbl 1078.92502 Perelson, Alan S.; Nelson, Patrick W. 605 1999 Dynamics of HIV infection of CD4\(^ +\) T cells. Zbl 0796.92016 Perelson, Alan S.; Kirschner, Denise E.; de Boer, Rob 380 1993 Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Zbl 0789.92019 Kuznetsov, Vladimir A.; Makalkin, Iliya A.; Taylor, Mark A.; Perelson, Alan S. 327 1994 Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035 Nelson, Patrick W.; Perelson, Alan S. 208 2002 A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017 Nelson, Patrick W.; Murray, James D.; Perelson, Alan S. 192 2000 HIV-1 infection and low steady state viral loads. Zbl 1334.92227 Callaway, Duncan S.; Perelson, Alan S. 156 2002 Influence of delayed viral production on viral dynamics in HIV-1 infected patients. Zbl 0946.92011 Mittler, John E.; Sulzer, Bernhard; Neumann, Avidan U.; Perelson, Alan S. 121 1998 On identifiability of nonlinear ODE models and applications in viral dynamics. Zbl 1215.34015 Miao, Hongyu; Xia, Xiaohua; Perelson, Alan S.; Wu, Hulin 120 2011 Modeling HIV persistence, the latent reservoir, and viral blips. Zbl 1402.92409 Rong, Libin; Perelson, Alan S. 92 2009 Mathematical analysis of age-structured HIV-1 dynamics with combination antiretroviral therapy. Zbl 1121.92043 Rong, Libin; Feng, Zhilan; Perelson, Alan S. 91 2007 Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053 Rong, Libin; Feng, Zhilan; Perelson, Alan S. 87 2007 An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Zbl 1060.92038 Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S. 81 2004 Modeling the mechanisms of acute hepatitis B virus infection. Zbl 1455.92022 Ciupe, Stanca M.; Ribeiro, Ruy M.; Nelson, Patrick W.; Perelson, Alan S. 65 2007 Asymmetric division of activated latently infected cells may explain the decay kinetics of the HIV-1 latent reservoir and intermittent viral blips. Zbl 1158.92028 Rong, Libin; Perelson, Alan S. 58 2009 Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay. Zbl 1439.92108 Dixit, Narendra M.; Perelson, Alan S. 58 2004 Drug concentration heterogeneity facilitates the evolution of drug resistance. Zbl 0919.92023 Kepler, Thomas B.; Perelson, Alan S. 52 1998 Modeling within-host HIV-1 dynamics and the evolution of drug resistance: trade-offs between viral enzyme function and drug susceptibility. Zbl 1455.92087 Rong, Libin; Gilchrist, Michael A.; Feng, Zhilan; Perelson, Alan S. 51 2007 Modeling the interaction of the immune system with HIV. Zbl 0683.92001 Perelson, Alan S. 41 1989 Modeling hepatitis C virus dynamics: liver regeneration and critical drug efficacy. Zbl 1455.92070 Dahari, Harel; Lo, Arthur; Ribeiro, Ruy M.; Perelson, Alan S. 39 2007 Mathematical and computational challenges in population biology and ecosystems science. Zbl 1225.92058 Levin, S. A.; Grenfell, B.; Hastings, A.; Perelson, A. S. 39 1997 Parameter identifiability and estimation of HIV/AIDS dynamic models. Zbl 1146.92021 Wu, Hulin; Zhu, Haihong; Miao, Hongyu; Perelson, Alan S. 38 2008 Mathematical models in molecular and cellular biology. Zbl 0448.92001 38 1980 Optimizing within-host viral fitness: infected cell lifespan and virion production rate. Zbl 1440.92026 Gilchrist, Michael A.; Coombs, Daniel; Perelson, Alan S. 31 2004 Receptor clustering on a cell surface. I. Theory of receptor cross- linking by ligands bearing two chemically identical functional groups. Zbl 0465.92006 Perelson, Alan S.; DeLisi, Charles 25 1980 Modeling amantadine treatment of influenza A virus in vitro. Zbl 1400.92314 Beauchemin, Catherine A. A.; McSharry, James J.; Drusano, George L.; Nguyen, Jack T.; Went, Gregory T.; Ribeiro, Ruy M.; Perelson, Alan S. 24 2008 Quantifying T lymphocyte turnover. Zbl 1322.92018 De Boer, Rob J.; Perelson, Alan S. 22 2013 Backward bifurcations and multiple equilibria in epidemic models with structured immunity. Zbl 1398.92249 Reluga, Timothy C.; Medlock, Jan; Perelson, Alan S. 19 2008 Protein evolution on partially correlated landscapes. Zbl 0832.92014 Perelson, Alan S.; Macken, Catherine A. 18 1995 Estimating lymphocyte division and death rates from CFSE data. Zbl 1334.92112 De Boer, Rob J.; Ganusov, Vitaly V.; Milutinović, Dejan; Hodgkin, Philip D.; Perelson, Alan S. 18 2006 Modeling and estimation of kinetic parameters and replicative fitness of HIV-1 from flow-cytometry-based growth competition experiments. Zbl 1166.92029 Miao, Hongyu; Dykes, Carrie; Demeter, Lisa M.; Cavenaugh, James; Park, Sung Yong; Perelson, Alan S.; Wu, Hulin 17 2008 Evolutionary walks on rugged landscapes. Zbl 0755.92014 Macken, Catherine A.; Hagan, Patrick S.; Perelson, Alan S. 17 1991 Analysis of hepatitis C virus infection models with hepatocyte homeostasis. Zbl 1167.92014 Reluga, Timothy C.; Dahari, Harel; Perelson, Alan S. 16 2009 Opportunistic infection as a cause of transient viremia in chronically infected HIV patients under treatment with HAART. Zbl 1334.92407 Jonesa, Laura E.; Perelson, Alan S. 16 2005 Estimating division and death rates from CFSE data. Zbl 1074.92016 De Boer, Rob J.; Perelson, Alan S. 15 2005 Stochastic model of an influenza epidemic with drug resistance. Zbl 1451.92318 Xu, Yaji; Allen, Linda J. S.; Perelson, Alan S. 15 2007 Immune network behavior. I: From stationary states to limit cycle oscillations. Zbl 0797.92014 De Boer, Rob J.; Perelson, Alan S.; Kevrekidis, Ioannis G. 14 1993 Optimal strategies in immunology. I: B-cell differentiation and proliferation. Zbl 0354.92026 Perelson, Alan S.; Mirmirani, Majdedin; Oster, George F. 14 1976 Modeling the long-term control of viremia in HIV-1 infected patients treated with antiretroviral therapy. Zbl 1034.92014 Di Mascio, Michele; Ribeiro, Ruy M.; Markowitz, Martin; Ho, David D.; Perelson, Alan S. 13 2004 Mathematical analysis of multiscale models for hepatitis C virus dynamics under therapy with direct-acting antiviral agents. Zbl 1308.92067 Rong, Libin; Perelson, Alan S. 13 2013 Bond graph junction structures. Zbl 0315.94033 Perelson, A. S. 12 1975 Modeling T cell proliferation and death in vitro based on labeling data: generalizations of the Smith-Martin cell cycle model. Zbl 1281.92020 Lee, Ha Youn; Perelson, Alan S. 12 2008 Tumors and the immune system: The effects of a tumor growth modulator. Zbl 0439.92004 Albert, Arthur; Freedman, Marvin; Perelson, Alan S. 11 1980 Th1/Th2 differentiation and cross-regulation. Zbl 1323.92056 Fishman, Michael A.; Perelson, Alan S. 11 1999 Optimal viral production. Zbl 1334.92396 Coombs, Daniel; Gilchrist, Michael A.; Percus, Jerome; Perelson, Alan S. 11 2003 Optimal strategies in immunology II. B memory cell production. Zbl 0395.92006 Perelson, Alan S.; Mirmirani, Majdedin; Oster, George F. 10 1978 Optimization of influenza vaccine selection. Zbl 1165.90707 Wu, Joseph T.; Wein, Lawrence M.; Perelson, Alan S. 10 2005 Bond graphs and linear graphs. Zbl 0339.94014 Perelson, Alan S.; Oster, George F. 10 1976 Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003 Perelson, A. S.; Maini, P. K.; Murray, J. D.; Hyman, J. M.; Oster, G. F. 10 1986 Spatial aspects of HIV infection. Zbl 1345.92143 Graw, Frederik; Perelson, Alan S. 10 2013 An accurate two-phase approximate solution to an acute viral infection model. Zbl 1198.92029 Smith, Amber M.; Adler, Frederick R.; Perelson, Alan S. 10 2010 Receptor clustering on a cell surface. III. Theory of receptor cross- linking by multivalent ligands: Description by ligand states. Zbl 0478.92007 Perelson, Alan S. 10 1981 Evaluation of multitype mathematical models for CFSE-labeling experiment data. Zbl 1317.92028 Miao, Hongyu; Jin, Xia; Perelson, Alan S.; Wu, Hulin 9 2012 Immune network behavior. II: From oscillations to chaos and stationary states. Zbl 0797.92015 De Boer, Rob J.; Perelson, Alan S.; Kevrekidis, Ioannis G. 9 1993 Theoretical immunology. Zbl 0376.92001 9 1978 A stochastic model of cytotoxic T cell responses. Zbl 1439.92057 Chao, Dennis L.; Davenport, Miles P.; Forrest, Stephanie; Perelson, Alan S. 9 2004 Interpreting CFSE obtained division histories of B cells in vitro with Smith-Martin and cyton type models. Zbl 1173.92011 Lee, Ha Youn; Hawkins, Edwin; Zand, Martin S.; Mosmann, Tim; Wu, Hulin; Hodgkin, Philip D.; Perelson, Alan S. 9 2009 Dissociation of HIV-1 from follicular dendritic cells during HAART: Mathematical analysis. Zbl 0983.92014 Hlavacek, William S.; Wofsy, Carla; Perelson, Alan S. 8 1999 Towards multiscale modeling of influenza infection. Zbl 1330.92130 Murillo, Lisa N.; Murillo, Michael S.; Perelson, Alan S. 8 2013 Modeling immune reactivity in secondary lymphoid organs. Zbl 0745.92013 Perelson, Alan S.; Weisbuch, Gérard 8 1992 Modeling quasispecies and drug resistance in hepatitis C patients treated with a protease inhibitor. Zbl 1251.92021 Rong, Libin; Ribeiro, Ruy M.; Perelson, Alan S. 8 2012 Modeling viral infections. Zbl 1025.92010 Perelson, Alan S.; Nelson, Patrick W. 7 2002 Modeling and optimization of populations subject to time-dependent mutation. Zbl 0832.92015 Kepler, Thomas B.; Perelson, Alan S. 7 1995 Mathematical modeling of HIV-1 infection and drug therapy. Zbl 1382.92248 Rong, Libin; Feng, Zhilan; Perelson, Alan S. 7 2008 Branching processes applied to cell surface aggregation phenomena. Zbl 0573.92001 Macken, Catherine A.; Perelson, Alan S. 7 1985 Optimal strategies in immunology III. The IgM-IgG switch. Zbl 0465.92008 Perelson, Alan S.; Goldstein, Byron; Rocklin, Sol 7 1980 Bond graph sign conventions. Zbl 0315.94032 Perelson, A. S. 6 1975 Modeling sequence evolution in acute HIV-1 infection. Zbl 1403.92296 Lee, Ha Youn; Giorgi, Elena E.; Keele, Brandon F.; Gaschen, Brian; Athreya, Gayathri S.; Salazar-Gonzalez, Jesus F.; Pham, Kimmy T.; Goepfert, Paul A.; Michael Kilby, J.; Saag, Michael S.; Delwart, Eric L.; Busch, Michael P.; Hahn, Beatrice H.; Shaw, George M.; Korber, Bette T.; Bhattacharya, Tanmoy; Perelson, Alan S. 6 2009 Dynamics of one-pass germinal center models: implications for affinity maturation. Zbl 1323.92059 Oprea, Mihaela; van Nimwegen, Erik; Perelson, Alan S. 6 2000 Kinetics of cell-mediated cytotoxicity: Stochastic and deterministic multistage models. Zbl 0571.92012 Perelson, Alan S.; Macken, Catherine A. 6 1984 Stem cell proliferation and differentiation. A multitype branching process model. Zbl 0681.92016 Macken, Catherine A.; Perelson, Alan S. 6 1988 Receptor clustering on a cell surface. II. Theory of receptor cross- linking by ligands bearing two chemically distinct functional groups. Zbl 0478.92006 Perelson, Alan S. 6 1980 Human immunodeficiency virus: Quasi-species and drug resistance. Zbl 1068.92027 Murray, John M.; Perelson, Alan S. 5 2005 Mathematical modeling of escape of HIV from cytotoxic t lymphocyte responses. Zbl 1456.92080 Ganusov, Vitaly V.; Neher, Richard A.; Perelson, Alan S. 5 2013 The distribution of viral blips observed in HIV-1 infected patients treated with combination antiretroviral therapy. Zbl 1334.92238 Percus, Jerome K.; Percus, Ora E.; Markowitz, Martin; Ho, David D.; Di Mascio, Michele; Perelson, Alan S. 5 2003 A new bell-shaped function for idiotypic interactions based on cross-linking. Zbl 0853.92006 de Boer, Rob J.; Boerlijst, Maarten C.; Sulzer, Bernhard; Perelson, Alan S. 4 1996 A moving boundary model of acrosomal elongation. Zbl 0585.92027 Perelson, Alan S.; Coutsias, Evangelos A. 4 1986 Cell spreading and motility: A model lamellipod. Zbl 0558.92004 Oster, George F.; Perelson, Alan S. 4 1985 Theoretical immunology. Zbl 0781.92012 Perelson, Alan S. 4 1990 A Cayley tree immune network model with antibody dynamics. Zbl 0813.92008 Anderson, Russell W.; Neumann, Avidan U.; Perelson, Alan S. 3 1993 The probability of HIV infection in a new host and its reduction with microbicides. Zbl 1143.92025 Tuckwell, Henry C.; Shipman, Patrick D.; Perelson, Alan S. 3 2008 Modeling defective interfering virus therapy for AIDS: Conditions for DIV survival. Zbl 0819.92010 Nelson, George W.; Perelson, Alan S. 3 1995 Immunological memory is associative. Zbl 0942.92006 Smith, Derek J.; Forrest, Stephanie; Perelson, Alan S. 3 1999 Immune networks and immune responses. Zbl 0820.92008 Rose, Randall; Perelson, Alan S. 3 1994 Duration of an intermittent episode of viremia. Zbl 1334.92245 di Mascio, Michele; Percus, Jerome K.; Percus, Ora E.; Markowitz, Martin; Ho, David D.; Perelson, Alan S. 3 2005 Scaling aspects of lymphocyte trafficking. Zbl 1400.92078 Perelson, Alan S.; Wiegel, Frederik W. 3 2009 A mechanical model for elongation of the acrosomal process in Thyone sperm. Zbl 0492.92004 Oster, George F.; Perelson, Alan S.; Tilney, Lewis G. 3 1982 Immune networks modeled by replicator equations. Zbl 0823.92008 Stadler, Peter F.; Schuster, Peter; Perelson, Alan S. 2 1994 Explaining high alloreactivity as a quantitative consequence of affinity-driven thymocyte selection. Zbl 0922.92009 Detours, Vincent; Perelson, Alan S. 2 1999 Using lazy evaluation to simulate realistic-size repertoires in models of the immune system. Zbl 0934.92007 Smith, Derek J.; Forrest, Stephanie; Ackley, David H.; Perelson, Alan S. 2 1998 Equilibrium binding of multivalent ligands to cells: Effects of cell and receptor density. Zbl 0856.92006 Sulzer, Bernhard; Perelson, Alan S. 2 1996 Kinetic analysis of adsorption processes. Zbl 0649.92014 Brendel, Volker; Perelson, Alan S. 2 1987 Description of electrical networks using bond graphs. Zbl 0326.94017 Perelson, Alan S. 2 1976 Workshop on statistical approaches for the evaluation of complex computer models. Zbl 1032.62102 Berk, Richard A.; Bickel, Peter; Campbell, Katherine; Fovell, Robert; Keller-McNulty, Sallie; Kelly, Elizabeth; Linn, Rodman; Park, Byungkyu; Perelson, Alan; Rouphail, Nagui; Sacks, Jerome; Schoenberg, Frederic 2 2002 Continuous and discrete modeling of HIV-1 decline on therapy. Zbl 1448.34166 Akın, Elvan; Yeni, Gülşah; Perelson, Alan S. 2 2020 On trace and determinant for entire operator functions. Zbl 0561.47012 Perelson, A. 2 1984 Modeling deuterated glucose labeling of T-lymphocytes. Zbl 1334.92208 Ribeiro, Ruy M.; Mohri, Hiroshi; Ho, David D.; Perelson, Alan S. 2 2002 A paradoxical instability caused by relatively short-range inhibition. Zbl 0693.92011 Segel, Lee A.; Perelson, Alan S. 2 1990 Aggregation of cell surface receptors by multivalent ligands. Zbl 0492.92003 Macken, Catherine A.; Perelson, Alan S. 2 1982 Influence of drug pharmacokinetics on HIV pathogenesis and therapy. Zbl 1268.92085 Dixit, Narendra M.; Perelson, Alan S. 2 2005 Early HIV infection predictions: role of viral replication errors. Zbl 1396.92045 Conway, Jessica M.; Perelson, Alan S. 2 2018 Continuous and discrete modeling of HIV-1 decline on therapy. Zbl 1448.34166 Akın, Elvan; Yeni, Gülşah; Perelson, Alan S. 2 2020 Early HIV infection predictions: role of viral replication errors. Zbl 1396.92045 Conway, Jessica M.; Perelson, Alan S. 2 2018 Quantifying T lymphocyte turnover. Zbl 1322.92018 De Boer, Rob J.; Perelson, Alan S. 22 2013 Mathematical analysis of multiscale models for hepatitis C virus dynamics under therapy with direct-acting antiviral agents. Zbl 1308.92067 Rong, Libin; Perelson, Alan S. 13 2013 Spatial aspects of HIV infection. Zbl 1345.92143 Graw, Frederik; Perelson, Alan S. 10 2013 Towards multiscale modeling of influenza infection. Zbl 1330.92130 Murillo, Lisa N.; Murillo, Michael S.; Perelson, Alan S. 8 2013 Mathematical modeling of escape of HIV from cytotoxic t lymphocyte responses. Zbl 1456.92080 Ganusov, Vitaly V.; Neher, Richard A.; Perelson, Alan S. 5 2013 Modeling sequence evolution in HIV-1 infection with recombination. Zbl 1330.92065 Giorgi, Elena E.; Korber, Bette T.; Perelson, Alan S.; Bhattacharya, Tanmoy 1 2013 Evaluation of multitype mathematical models for CFSE-labeling experiment data. Zbl 1317.92028 Miao, Hongyu; Jin, Xia; Perelson, Alan S.; Wu, Hulin 9 2012 Modeling quasispecies and drug resistance in hepatitis C patients treated with a protease inhibitor. Zbl 1251.92021 Rong, Libin; Ribeiro, Ruy M.; Perelson, Alan S. 8 2012 On identifiability of nonlinear ODE models and applications in viral dynamics. Zbl 1215.34015 Miao, Hongyu; Xia, Xiaohua; Perelson, Alan S.; Wu, Hulin 120 2011 Persistence and emergence of X4 virus in HIV infection. Zbl 1259.92058 Weinberger, Ariel D.; Perelson, Alan S. 1 2011 An accurate two-phase approximate solution to an acute viral infection model. Zbl 1198.92029 Smith, Amber M.; Adler, Frederick R.; Perelson, Alan S. 10 2010 Modeling HIV persistence, the latent reservoir, and viral blips. Zbl 1402.92409 Rong, Libin; Perelson, Alan S. 92 2009 Asymmetric division of activated latently infected cells may explain the decay kinetics of the HIV-1 latent reservoir and intermittent viral blips. Zbl 1158.92028 Rong, Libin; Perelson, Alan S. 58 2009 Analysis of hepatitis C virus infection models with hepatocyte homeostasis. Zbl 1167.92014 Reluga, Timothy C.; Dahari, Harel; Perelson, Alan S. 16 2009 Interpreting CFSE obtained division histories of B cells in vitro with Smith-Martin and cyton type models. Zbl 1173.92011 Lee, Ha Youn; Hawkins, Edwin; Zand, Martin S.; Mosmann, Tim; Wu, Hulin; Hodgkin, Philip D.; Perelson, Alan S. 9 2009 Modeling sequence evolution in acute HIV-1 infection. Zbl 1403.92296 Lee, Ha Youn; Giorgi, Elena E.; Keele, Brandon F.; Gaschen, Brian; Athreya, Gayathri S.; Salazar-Gonzalez, Jesus F.; Pham, Kimmy T.; Goepfert, Paul A.; Michael Kilby, J.; Saag, Michael S.; Delwart, Eric L.; Busch, Michael P.; Hahn, Beatrice H.; Shaw, George M.; Korber, Bette T.; Bhattacharya, Tanmoy; Perelson, Alan S. 6 2009 Scaling aspects of lymphocyte trafficking. Zbl 1400.92078 Perelson, Alan S.; Wiegel, Frederik W. 3 2009 Parameter identifiability and estimation of HIV/AIDS dynamic models. Zbl 1146.92021 Wu, Hulin; Zhu, Haihong; Miao, Hongyu; Perelson, Alan S. 38 2008 Modeling amantadine treatment of influenza A virus in vitro. Zbl 1400.92314 Beauchemin, Catherine A. A.; McSharry, James J.; Drusano, George L.; Nguyen, Jack T.; Went, Gregory T.; Ribeiro, Ruy M.; Perelson, Alan S. 24 2008 Backward bifurcations and multiple equilibria in epidemic models with structured immunity. Zbl 1398.92249 Reluga, Timothy C.; Medlock, Jan; Perelson, Alan S. 19 2008 Modeling and estimation of kinetic parameters and replicative fitness of HIV-1 from flow-cytometry-based growth competition experiments. Zbl 1166.92029 Miao, Hongyu; Dykes, Carrie; Demeter, Lisa M.; Cavenaugh, James; Park, Sung Yong; Perelson, Alan S.; Wu, Hulin 17 2008 Modeling T cell proliferation and death in vitro based on labeling data: generalizations of the Smith-Martin cell cycle model. Zbl 1281.92020 Lee, Ha Youn; Perelson, Alan S. 12 2008 Mathematical modeling of HIV-1 infection and drug therapy. Zbl 1382.92248 Rong, Libin; Feng, Zhilan; Perelson, Alan S. 7 2008 The probability of HIV infection in a new host and its reduction with microbicides. Zbl 1143.92025 Tuckwell, Henry C.; Shipman, Patrick D.; Perelson, Alan S. 3 2008 Mathematical analysis of age-structured HIV-1 dynamics with combination antiretroviral therapy. Zbl 1121.92043 Rong, Libin; Feng, Zhilan; Perelson, Alan S. 91 2007 Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053 Rong, Libin; Feng, Zhilan; Perelson, Alan S. 87 2007 Modeling the mechanisms of acute hepatitis B virus infection. Zbl 1455.92022 Ciupe, Stanca M.; Ribeiro, Ruy M.; Nelson, Patrick W.; Perelson, Alan S. 65 2007 Modeling within-host HIV-1 dynamics and the evolution of drug resistance: trade-offs between viral enzyme function and drug susceptibility. Zbl 1455.92087 Rong, Libin; Gilchrist, Michael A.; Feng, Zhilan; Perelson, Alan S. 51 2007 Modeling hepatitis C virus dynamics: liver regeneration and critical drug efficacy. Zbl 1455.92070 Dahari, Harel; Lo, Arthur; Ribeiro, Ruy M.; Perelson, Alan S. 39 2007 Stochastic model of an influenza epidemic with drug resistance. Zbl 1451.92318 Xu, Yaji; Allen, Linda J. S.; Perelson, Alan S. 15 2007 Estimating lymphocyte division and death rates from CFSE data. Zbl 1334.92112 De Boer, Rob J.; Ganusov, Vitaly V.; Milutinović, Dejan; Hodgkin, Philip D.; Perelson, Alan S. 18 2006 Foreword to the special issue: A tribute to Lee Segel. Zbl 1335.01052 1 2006 Opportunistic infection as a cause of transient viremia in chronically infected HIV patients under treatment with HAART. Zbl 1334.92407 Jonesa, Laura E.; Perelson, Alan S. 16 2005 Estimating division and death rates from CFSE data. Zbl 1074.92016 De Boer, Rob J.; Perelson, Alan S. 15 2005 Optimization of influenza vaccine selection. Zbl 1165.90707 Wu, Joseph T.; Wein, Lawrence M.; Perelson, Alan S. 10 2005 Human immunodeficiency virus: Quasi-species and drug resistance. Zbl 1068.92027 Murray, John M.; Perelson, Alan S. 5 2005 Duration of an intermittent episode of viremia. Zbl 1334.92245 di Mascio, Michele; Percus, Jerome K.; Percus, Ora E.; Markowitz, Martin; Ho, David D.; Perelson, Alan S. 3 2005 Influence of drug pharmacokinetics on HIV pathogenesis and therapy. Zbl 1268.92085 Dixit, Narendra M.; Perelson, Alan S. 2 2005 An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Zbl 1060.92038 Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S. 81 2004 Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay. Zbl 1439.92108 Dixit, Narendra M.; Perelson, Alan S. 58 2004 Optimizing within-host viral fitness: infected cell lifespan and virion production rate. Zbl 1440.92026 Gilchrist, Michael A.; Coombs, Daniel; Perelson, Alan S. 31 2004 Modeling the long-term control of viremia in HIV-1 infected patients treated with antiretroviral therapy. Zbl 1034.92014 Di Mascio, Michele; Ribeiro, Ruy M.; Markowitz, Martin; Ho, David D.; Perelson, Alan S. 13 2004 A stochastic model of cytotoxic T cell responses. Zbl 1439.92057 Chao, Dennis L.; Davenport, Miles P.; Forrest, Stephanie; Perelson, Alan S. 9 2004 Optimal viral production. Zbl 1334.92396 Coombs, Daniel; Gilchrist, Michael A.; Percus, Jerome; Perelson, Alan S. 11 2003 The distribution of viral blips observed in HIV-1 infected patients treated with combination antiretroviral therapy. Zbl 1334.92238 Percus, Jerome K.; Percus, Ora E.; Markowitz, Martin; Ho, David D.; Di Mascio, Michele; Perelson, Alan S. 5 2003 Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035 Nelson, Patrick W.; Perelson, Alan S. 208 2002 HIV-1 infection and low steady state viral loads. Zbl 1334.92227 Callaway, Duncan S.; Perelson, Alan S. 156 2002 Modeling viral infections. Zbl 1025.92010 Perelson, Alan S.; Nelson, Patrick W. 7 2002 Workshop on statistical approaches for the evaluation of complex computer models. Zbl 1032.62102 Berk, Richard A.; Bickel, Peter; Campbell, Katherine; Fovell, Robert; Keller-McNulty, Sallie; Kelly, Elizabeth; Linn, Rodman; Park, Byungkyu; Perelson, Alan; Rouphail, Nagui; Sacks, Jerome; Schoenberg, Frederic 2 2002 Modeling deuterated glucose labeling of T-lymphocytes. Zbl 1334.92208 Ribeiro, Ruy M.; Mohri, Hiroshi; Ho, David D.; Perelson, Alan S. 2 2002 A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017 Nelson, Patrick W.; Murray, James D.; Perelson, Alan S. 192 2000 Dynamics of one-pass germinal center models: implications for affinity maturation. Zbl 1323.92059 Oprea, Mihaela; van Nimwegen, Erik; Perelson, Alan S. 6 2000 Mathematical analysis of HIV-1 dynamics in vivo. Zbl 1078.92502 Perelson, Alan S.; Nelson, Patrick W. 605 1999 Th1/Th2 differentiation and cross-regulation. Zbl 1323.92056 Fishman, Michael A.; Perelson, Alan S. 11 1999 Dissociation of HIV-1 from follicular dendritic cells during HAART: Mathematical analysis. Zbl 0983.92014 Hlavacek, William S.; Wofsy, Carla; Perelson, Alan S. 8 1999 Immunological memory is associative. Zbl 0942.92006 Smith, Derek J.; Forrest, Stephanie; Perelson, Alan S. 3 1999 Explaining high alloreactivity as a quantitative consequence of affinity-driven thymocyte selection. Zbl 0922.92009 Detours, Vincent; Perelson, Alan S. 2 1999 Modeling the effects of prior infection on vaccine efficacy. Zbl 0923.92012 Smith, Derek J.; Forrest, Stephanie; Ackley, David H.; Perelson, Alan S. 1 1999 Influence of delayed viral production on viral dynamics in HIV-1 infected patients. Zbl 0946.92011 Mittler, John E.; Sulzer, Bernhard; Neumann, Avidan U.; Perelson, Alan S. 121 1998 Drug concentration heterogeneity facilitates the evolution of drug resistance. Zbl 0919.92023 Kepler, Thomas B.; Perelson, Alan S. 52 1998 Using lazy evaluation to simulate realistic-size repertoires in models of the immune system. Zbl 0934.92007 Smith, Derek J.; Forrest, Stephanie; Ackley, David H.; Perelson, Alan S. 2 1998 Mathematical and computational challenges in population biology and ecosystems science. Zbl 1225.92058 Levin, S. A.; Grenfell, B.; Hastings, A.; Perelson, A. S. 39 1997 A new bell-shaped function for idiotypic interactions based on cross-linking. Zbl 0853.92006 de Boer, Rob J.; Boerlijst, Maarten C.; Sulzer, Bernhard; Perelson, Alan S. 4 1996 Equilibrium binding of multivalent ligands to cells: Effects of cell and receptor density. Zbl 0856.92006 Sulzer, Bernhard; Perelson, Alan S. 2 1996 Protein evolution on partially correlated landscapes. Zbl 0832.92014 Perelson, Alan S.; Macken, Catherine A. 18 1995 Modeling and optimization of populations subject to time-dependent mutation. Zbl 0832.92015 Kepler, Thomas B.; Perelson, Alan S. 7 1995 Modeling defective interfering virus therapy for AIDS: Conditions for DIV survival. Zbl 0819.92010 Nelson, George W.; Perelson, Alan S. 3 1995 Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Zbl 0789.92019 Kuznetsov, Vladimir A.; Makalkin, Iliya A.; Taylor, Mark A.; Perelson, Alan S. 327 1994 Immune networks and immune responses. Zbl 0820.92008 Rose, Randall; Perelson, Alan S. 3 1994 Immune networks modeled by replicator equations. Zbl 0823.92008 Stadler, Peter F.; Schuster, Peter; Perelson, Alan S. 2 1994 Development of the T-cell repertoire: Clone size distribution. Zbl 0823.92007 Merrill, Stephen J.; De Boer, Rob J.; Perelson, Alan S. 1 1994 Cell protrusions. Zbl 0821.92012 Oster, George; Perelson, Alan S. 1 1994 Dynamics of HIV infection of CD4\(^ +\) T cells. Zbl 0796.92016 Perelson, Alan S.; Kirschner, Denise E.; de Boer, Rob 380 1993 Immune network behavior. I: From stationary states to limit cycle oscillations. Zbl 0797.92014 De Boer, Rob J.; Perelson, Alan S.; Kevrekidis, Ioannis G. 14 1993 Immune network behavior. II: From oscillations to chaos and stationary states. Zbl 0797.92015 De Boer, Rob J.; Perelson, Alan S.; Kevrekidis, Ioannis G. 9 1993 A Cayley tree immune network model with antibody dynamics. Zbl 0813.92008 Anderson, Russell W.; Neumann, Avidan U.; Perelson, Alan S. 3 1993 Modeling immune reactivity in secondary lymphoid organs. Zbl 0745.92013 Perelson, Alan S.; Weisbuch, Gérard 8 1992 Evolutionary walks on rugged landscapes. Zbl 0755.92014 Macken, Catherine A.; Hagan, Patrick S.; Perelson, Alan S. 17 1991 Theoretical immunology. Zbl 0781.92012 Perelson, Alan S. 4 1990 A paradoxical instability caused by relatively short-range inhibition. Zbl 0693.92011 Segel, Lee A.; Perelson, Alan S. 2 1990 Modeling the interaction of the immune system with HIV. Zbl 0683.92001 Perelson, Alan S. 41 1989 Stem cell proliferation and differentiation. A multitype branching process model. Zbl 0681.92016 Macken, Catherine A.; Perelson, Alan S. 6 1988 Nonlinearity in biology and medicine. Proceedings of the seventh annual internal conference of the Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, USA, May 18-22, 1987. Zbl 0644.00032 1 1988 Kinetic analysis of adsorption processes. Zbl 0649.92014 Brendel, Volker; Perelson, Alan S. 2 1987 Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003 Perelson, A. S.; Maini, P. K.; Murray, J. D.; Hyman, J. M.; Oster, G. F. 10 1986 A moving boundary model of acrosomal elongation. Zbl 0585.92027 Perelson, Alan S.; Coutsias, Evangelos A. 4 1986 Spectral representation of a generalized trace and determinant. Zbl 0626.47025 Perelson, A. 1 1986 Branching processes applied to cell surface aggregation phenomena. Zbl 0573.92001 Macken, Catherine A.; Perelson, Alan S. 7 1985 Cell spreading and motility: A model lamellipod. Zbl 0558.92004 Oster, George F.; Perelson, Alan S. 4 1985 Some stochastic models in immunology. Zbl 0569.92005 Macken, Catherine A.; Perelson, Alan S. 1 1985 Kinetics of cell-mediated cytotoxicity: Stochastic and deterministic multistage models. Zbl 0571.92012 Perelson, Alan S.; Macken, Catherine A. 6 1984 On trace and determinant for entire operator functions. Zbl 0561.47012 Perelson, A. 2 1984 A mechanical model for elongation of the acrosomal process in Thyone sperm. Zbl 0492.92004 Oster, George F.; Perelson, Alan S.; Tilney, Lewis G. 3 1982 Aggregation of cell surface receptors by multivalent ligands. Zbl 0492.92003 Macken, Catherine A.; Perelson, Alan S. 2 1982 Receptor clustering on a cell surface. III. Theory of receptor cross- linking by multivalent ligands: Description by ligand states. Zbl 0478.92007 Perelson, Alan S. 10 1981 Mathematical models in molecular and cellular biology. Zbl 0448.92001 38 1980 Receptor clustering on a cell surface. I. Theory of receptor cross- linking by ligands bearing two chemically identical functional groups. Zbl 0465.92006 Perelson, Alan S.; DeLisi, Charles 25 1980 Tumors and the immune system: The effects of a tumor growth modulator. Zbl 0439.92004 Albert, Arthur; Freedman, Marvin; Perelson, Alan S. 11 1980 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,176 Authors 57 Elaiw, Ahmed M. 52 Perelson, Alan S. 38 Rong, Libin 25 Wang, Jinliang 24 Wang, Xia 24 Wu, Hulin 21 Jiang, Daqing 21 Song, Xinyu 20 Ma, Wanbiao 20 Xu, Rui 18 Takeuchi, Yasuhiro 18 Xiao, Yanni 17 Wang, Yan 16 Alshamrani, Noura H. 16 Hattaf, Khalid 15 Banks, Harvey Thomas 14 Bocharov, Gennady A. 14 Qiu, Zhipeng 14 Wang, Kaifa 13 Khajanchi, Subhas 13 Yousfi, Noura 12 Cheke, Robert A. 12 Chen, Yuming 12 Liu, Qun 12 Liu, Shengqiang 12 Lou, Jie 12 Martcheva, Maia 12 Rihan, Fathalla A. 12 Shu, Hongying 12 Yang, Jin 12 Yang, Yu 11 Guo, Ting 11 Hayat, Tasawar 11 Heffernan, Jane Marie 11 Li, Jianquan 11 Li, Michael Yi 10 Allali, Karam 10 Băleanu, Dumitru I. 10 Dong, Yueping 10 Huang, Yangxin 10 Li, Xuezhi 10 Ruan, Shigui 9 Al-saedi, Ahmed Eid Salem 9 Browne, Cameron J. 9 Bunimovich-Mendrazitsky, Svetlana 9 Dobrovolny, Hana M. 9 d’Onofrio, Alberto 9 Kuang, Yang 9 Sanjuán, Miguel A. F. 9 Tan, Yuanshun 9 Tang, Sanyi 9 Teng, Zhi-dong 9 Tuncer, Necibe 9 Wang, Shaoli 9 Wu, Jianhong 8 Alshaikh, Matuka A. 8 Bairagi, Nandadulal 8 Banerjee, Sandip 8 Blyuss, Konstantin B. 8 Chakrabarty, Siddhartha Pratim 8 Eftimie, Raluca 8 Feng, Zhilan 8 González-Parra, Gilberto C. 8 Gumel, Abba B. 8 Hobiny, Aatef D. 8 Iwami, Shingo 8 Jung, Il Hyo 8 Krug, Joachim 8 Kuniya, Toshikazu 8 Liu, Zijian 8 Miao, Hongyu 8 Seoane, Jesús M. 8 Smith?, Stacey R. 8 Vaidya, Naveen K. 8 Yüzbaşı, Şuayip 8 Zhou, Xueyong 7 Adak, Debadatta 7 Chaplain, Mark A. J. 7 Ciupe, Stanca M. 7 De Boer, Rob J. 7 Hernandez-Vargas, Esteban A. 7 Huang, Gang 7 Kabanikhin, Sergeĭ Igorevich 7 Kim, Peter S. 7 Krivorotko, Olga I. 7 Kyrychko, Yuliya N. 7 Ledzewicz, Urszula 7 Liu, Lishan 7 Liu, Xianning 7 Miao, Hui 7 Neumann, Avidan U. 7 Pitchaimani, M. 7 Schättler, Heinz Michael 7 Tridane, Abdessamad 7 Vargas-De-León, Cruz 7 Wang, Lin 7 Wang, Wendi 7 Wang, Xiaoyan 7 Wei, Hsiu-Chuan 7 Xu, Jinhu ...and 3,076 more Authors all top 5 Cited in 259 Serials 195 Journal of Theoretical Biology 120 Bulletin of Mathematical Biology 119 Mathematical Biosciences 80 Journal of Mathematical Biology 74 Mathematical Biosciences and Engineering 69 Applied Mathematics and Computation 60 Chaos, Solitons and Fractals 55 International Journal of Biomathematics 54 Discrete and Continuous Dynamical Systems. 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Series A: Theory and Methods 4 Computational Statistics and Data Analysis 4 Journal of the Egyptian Mathematical Society 4 Journal of Applied Statistics 4 Qualitative Theory of Dynamical Systems 4 International Journal of Differential Equations 4 Biomath 4 Computational Methods for Differential Equations 4 Mathematics in Applied Sciences and Engineering 3 Biological Cybernetics 3 Computer Methods in Applied Mechanics and Engineering 3 Inverse Problems 3 Journal of the American Statistical Association 3 Journal of Optimization Theory and Applications 3 Journal of Statistical Planning and Inference 3 Ricerche di Matematica 3 Studies in Applied Mathematics 3 Systems & Control Letters 3 Statistics & Probability Letters 3 Stochastic Analysis and Applications 3 Acta Applicandae Mathematicae 3 Japan Journal of Industrial and Applied Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 European Journal of Operational Research 3 Proceedings of the National Academy of Sciences of the United States of America 3 Fractals 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 3 Journal of Systems Science and Complexity 3 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Physics A: Mathematical and Theoretical 3 Nonlinear Analysis. Hybrid Systems 3 Statistics and Computing 3 S\(\vec{\text{e}}\)MA Journal 3 ISRN Biomathematics 3 Discontinuity, Nonlinearity, and Complexity 3 Journal of Function Spaces 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Physics ...and 159 more Serials all top 5 Cited in 43 Fields 1,783 Biology and other natural sciences (92-XX) 811 Ordinary differential equations (34-XX) 256 Dynamical systems and ergodic theory (37-XX) 192 Partial differential equations (35-XX) 170 Numerical analysis (65-XX) 126 Probability theory and stochastic processes (60-XX) 111 Systems theory; control (93-XX) 106 Statistics (62-XX) 93 Calculus of variations and optimal control; optimization (49-XX) 39 Computer science (68-XX) 28 Statistical mechanics, structure of matter (82-XX) 28 Operations research, mathematical programming (90-XX) 26 Real functions (26-XX) 26 Integral equations (45-XX) 23 Combinatorics (05-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Difference and functional equations (39-XX) 17 Operator theory (47-XX) 9 Information and communication theory, circuits (94-XX) 7 Approximations and expansions (41-XX) 6 Mechanics of particles and systems (70-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Fluid mechanics (76-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of deformable solids (74-XX) 3 Mathematics education (97-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year