Edit Profile (opens in new tab) Perelson, Alan S. Compute Distance To: Compute Author ID: perelson.alan-s Published as: Perelson, Alan S.; Perelson, A. S.; Perelson, Alan; Perelson, A. more...less Documents Indexed: 117 Publications since 1975, including 2 Books 4 Contributions as Editor · 1 Further Contribution Co-Authors: 144 Co-Authors with 109 Joint Publications 2,574 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. 5 Percus, Jerome K. 5 Wu, Hulin 4 Feng, Zhilan 4 Forrest, Stephanie 4 Gilchrist, Michael A. 4 Ho, David D. 4 Miao, Hongyu 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 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 SIAM Review 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 114 Biology and other natural sciences (92-XX) 14 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 110 Publications have been cited 3,043 times in 1,710 Documents Cited by ▼ Year ▼ Mathematical analysis of HIV-1 dynamics in vivo. Zbl 1078.92502Perelson, Alan S.; Nelson, Patrick W. 555 1999 Dynamics of HIV infection of CD4\(^ +\) T cells. Zbl 0796.92016Perelson, Alan S.; Kirschner, Denise E.; de Boer, Rob 344 1993 Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Zbl 0789.92019Kuznetsov, Vladimir A.; Makalkin, Iliya A.; Taylor, Mark A.; Perelson, Alan S. 288 1994 Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035Nelson, Patrick W.; Perelson, Alan S. 191 2002 A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017Nelson, Patrick W.; Murray, James D.; Perelson, Alan S. 177 2000 HIV-1 infection and low steady state viral loads. Zbl 1334.92227Callaway, Duncan S.; Perelson, Alan S. 137 2002 Influence of delayed viral production on viral dynamics in HIV-1 infected patients. Zbl 0946.92011Mittler, John E.; Sulzer, Bernhard; Neumann, Avidan U.; Perelson, Alan S. 114 1998 On identifiability of nonlinear ODE models and applications in viral dynamics. Zbl 1215.34015Miao, Hongyu; Xia, Xiaohua; Perelson, Alan S.; Wu, Hulin 101 2011 Mathematical analysis of age-structured HIV-1 dynamics with combination antiretroviral therapy. Zbl 1121.92043Rong, Libin; Feng, Zhilan; Perelson, Alan S. 81 2007 Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053Rong, Libin; Feng, Zhilan; Perelson, Alan S. 80 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 1060.92038Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S. 71 2004 Modeling HIV persistence, the latent reservoir, and viral blips. Zbl 1402.92409Rong, Libin; Perelson, Alan S. 69 2009 Asymmetric division of activated latently infected cells may explain the decay kinetics of the HIV-1 latent reservoir and intermittent viral blips. Zbl 1158.92028Rong, Libin; Perelson, Alan S. 57 2009 Drug concentration heterogeneity facilitates the evolution of drug resistance. Zbl 0919.92023Kepler, Thomas B.; Perelson, Alan S. 43 1998 Parameter identifiability and estimation of HIV/AIDS dynamic models. Zbl 1146.92021Wu, Hulin; Zhu, Haihong; Miao, Hongyu; Perelson, Alan S. 35 2008 Mathematical and computational challenges in population biology and ecosystems science. Zbl 1225.92058Levin, S. A.; Grenfell, B.; Hastings, A.; Perelson, A. S. 33 1997 Mathematical models in molecular and cellular biology. Zbl 0448.92001 30 1980 Modeling the interaction of the immune system with HIV. Zbl 0683.92001Perelson, Alan S. 30 1989 Receptor clustering on a cell surface. I. Theory of receptor cross- linking by ligands bearing two chemically identical functional groups. Zbl 0465.92006Perelson, Alan S.; DeLisi, Charles 24 1980 Quantifying T lymphocyte turnover. Zbl 1322.92018De Boer, Rob J.; Perelson, Alan S. 22 2013 Modeling the mechanisms of acute hepatitis B virus infection. Zbl 1455.92022Ciupe, Stanca M.; Ribeiro, Ruy M.; Nelson, Patrick W.; Perelson, Alan S. 21 2007 Modeling amantadine treatment of influenza A virus in vitro. Zbl 1400.92314Beauchemin, Catherine A. A.; McSharry, James J.; Drusano, George L.; Nguyen, Jack T.; Went, Gregory T.; Ribeiro, Ruy M.; Perelson, Alan S. 19 2008 Estimating lymphocyte division and death rates from CFSE data. Zbl 1334.92112De Boer, Rob J.; Ganusov, Vitaly V.; Milutinović, Dejan; Hodgkin, Philip D.; Perelson, Alan S. 18 2006 Modeling within-host HIV-1 dynamics and the evolution of drug resistance: trade-offs between viral enzyme function and drug susceptibility. Zbl 1455.92087Rong, Libin; Gilchrist, Michael A.; Feng, Zhilan; Perelson, Alan S. 18 2007 Opportunistic infection as a cause of transient viremia in chronically infected HIV patients under treatment with HAART. Zbl 1334.92407Jonesa, Laura E.; Perelson, Alan S. 16 2005 Modeling and estimation of kinetic parameters and replicative fitness of HIV-1 from flow-cytometry-based growth competition experiments. Zbl 1166.92029Miao, Hongyu; Dykes, Carrie; Demeter, Lisa M.; Cavenaugh, James; Park, Sung Yong; Perelson, Alan S.; Wu, Hulin 15 2008 Estimating division and death rates from CFSE data. Zbl 1074.92016De Boer, Rob J.; Perelson, Alan S. 15 2005 Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay. Zbl 1439.92108Dixit, Narendra M.; Perelson, Alan S. 14 2004 Protein evolution on partially correlated landscapes. Zbl 0832.92014Perelson, Alan S.; Macken, Catherine A. 14 1995 Backward bifurcations and multiple equilibria in epidemic models with structured immunity. Zbl 1398.92249Reluga, Timothy C.; Medlock, Jan; Perelson, Alan S. 14 2008 Immune network behavior. I: From stationary states to limit cycle oscillations. Zbl 0797.92014De Boer, Rob J.; Perelson, Alan S.; Kevrekidis, Ioannis G. 13 1993 Analysis of hepatitis C virus infection models with hepatocyte homeostasis. Zbl 1167.92014Reluga, Timothy C.; Dahari, Harel; Perelson, Alan S. 13 2009 Modeling the long-term control of viremia in HIV-1 infected patients treated with antiretroviral therapy. Zbl 1034.92014Di Mascio, Michele; Ribeiro, Ruy M.; Markowitz, Martin; Ho, David D.; Perelson, Alan S. 13 2004 Optimal strategies in immunology. I: B-cell differentiation and proliferation. Zbl 0354.92026Perelson, Alan S.; Mirmirani, Majdedin; Oster, George F. 13 1976 Evolutionary walks on rugged landscapes. Zbl 0755.92014Macken, Catherine A.; Hagan, Patrick S.; Perelson, Alan S. 12 1991 Bond graph junction structures. Zbl 0315.94033Perelson, A. S. 12 1975 Modeling hepatitis C virus dynamics: liver regeneration and critical drug efficacy. Zbl 1455.92070Dahari, Harel; Lo, Arthur; Ribeiro, Ruy M.; Perelson, Alan S. 12 2007 Modeling T cell proliferation and death in vitro based on labeling data: generalizations of the Smith-Martin cell cycle model. Zbl 1281.92020Lee, Ha Youn; Perelson, Alan S. 12 2008 Tumors and the immune system: The effects of a tumor growth modulator. Zbl 0439.92004Albert, Arthur; Freedman, Marvin; Perelson, Alan S. 11 1980 Th1/Th2 differentiation and cross-regulation. Zbl 1323.92056Fishman, Michael A.; Perelson, Alan S. 11 1999 Mathematical analysis of multiscale models for hepatitis C virus dynamics under therapy with direct-acting antiviral agents. Zbl 1308.92067Rong, Libin; Perelson, Alan S. 11 2013 Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003Perelson, A. S.; Maini, P. K.; Murray, J. D.; Hyman, J. M.; Oster, G. F. 10 1986 Bond graphs and linear graphs. Zbl 0339.94014Perelson, Alan S.; Oster, George F. 10 1976 Receptor clustering on a cell surface. III. Theory of receptor cross- linking by multivalent ligands: Description by ligand states. Zbl 0478.92007Perelson, Alan S. 9 1981 Immune network behavior. II: From oscillations to chaos and stationary states. Zbl 0797.92015De Boer, Rob J.; Perelson, Alan S.; Kevrekidis, Ioannis G. 9 1993 Optimal viral production. Zbl 1334.92396Coombs, Daniel; Gilchrist, Michael A.; Percus, Jerome; Perelson, Alan S. 9 2003 Evaluation of multitype mathematical models for CFSE-labeling experiment data. Zbl 1317.92028Miao, Hongyu; Jin, Xia; Perelson, Alan S.; Wu, Hulin 9 2012 Interpreting CFSE obtained division histories of B cells in vitro with Smith-Martin and cyton type models. Zbl 1173.92011Lee, Ha Youn; Hawkins, Edwin; Zand, Martin S.; Mosmann, Tim; Wu, Hulin; Hodgkin, Philip D.; Perelson, Alan S. 9 2009 Optimal strategies in immunology II. B memory cell production. Zbl 0395.92006Perelson, Alan S.; Mirmirani, Majdedin; Oster, George F. 9 1978 An accurate two-phase approximate solution to an acute viral infection model. Zbl 1198.92029Smith, Amber M.; Adler, Frederick R.; Perelson, Alan S. 8 2010 Optimization of influenza vaccine selection. Zbl 1165.90707Wu, Joseph T.; Wein, Lawrence M.; Perelson, Alan S. 8 2005 Towards multiscale modeling of influenza infection. Zbl 1330.92130Murillo, Lisa N.; Murillo, Michael S.; Perelson, Alan S. 8 2013 Theoretical immunology. Zbl 0376.92001 8 1978 Modeling immune reactivity in secondary lymphoid organs. Zbl 0745.92013Perelson, Alan S.; Weisbuch, Gérard 7 1992 Mathematical modeling of HIV-1 infection and drug therapy. Zbl 1382.92248Rong, Libin; Feng, Zhilan; Perelson, Alan S. 7 2008 Branching processes applied to cell surface aggregation phenomena. Zbl 0573.92001Macken, Catherine A.; Perelson, Alan S. 7 1985 Optimizing within-host viral fitness: infected cell lifespan and virion production rate. Zbl 1440.92026Gilchrist, Michael A.; Coombs, Daniel; Perelson, Alan S. 7 2004 Stem cell proliferation and differentiation. A multitype branching process model. Zbl 0681.92016Macken, 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 0478.92006Perelson, Alan S. 6 1980 Modeling and optimization of populations subject to time-dependent mutation. Zbl 0832.92015Kepler, Thomas B.; Perelson, Alan S. 6 1995 Dynamics of one-pass germinal center models: implications for affinity maturation. Zbl 1323.92059Oprea, Mihaela; van Nimwegen, Erik; Perelson, Alan S. 6 2000 Spatial aspects of HIV infection. Zbl 1345.92143Graw, Frederik; Perelson, Alan S. 6 2013 Dissociation of HIV-1 from follicular dendritic cells during HAART: Mathematical analysis. Zbl 0983.92014Hlavacek, William S.; Wofsy, Carla; Perelson, Alan S. 6 1999 Modeling viral infections. Zbl 1025.92010Perelson, Alan S.; Nelson, Patrick W. 6 2002 Bond graph sign conventions. Zbl 0315.94032Perelson, A. S. 6 1975 Stochastic model of an influenza epidemic with drug resistance. Zbl 1451.92318Xu, Yaji; Allen, Linda J. S.; Perelson, Alan S. 5 2007 Optimal strategies in immunology III. The IgM-IgG switch. Zbl 0465.92008Perelson, Alan S.; Goldstein, Byron; Rocklin, Sol 5 1980 Modeling quasispecies and drug resistance in hepatitis C patients treated with a protease inhibitor. Zbl 1251.92021Rong, Libin; Ribeiro, Ruy M.; Perelson, Alan S. 5 2012 The distribution of viral blips observed in HIV-1 infected patients treated with combination antiretroviral therapy. Zbl 1334.92238Percus, Jerome K.; Percus, Ora E.; Markowitz, Martin; Ho, David D.; Di Mascio, Michele; Perelson, Alan S. 5 2003 Kinetics of cell-mediated cytotoxicity: Stochastic and deterministic multistage models. Zbl 0571.92012Perelson, Alan S.; Macken, Catherine A. 5 1984 Modeling sequence evolution in acute HIV-1 infection. Zbl 1403.92296Lee, 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. 5 2009 Human immunodeficiency virus: Quasi-species and drug resistance. Zbl 1068.92027Murray, John M.; Perelson, Alan S. 5 2005 A new bell-shaped function for idiotypic interactions based on cross-linking. Zbl 0853.92006de Boer, Rob J.; Boerlijst, Maarten C.; Sulzer, Bernhard; Perelson, Alan S. 4 1996 Theoretical immunology. Zbl 0781.92012Perelson, Alan S. 4 1990 Cell spreading and motility: A model lamellipod. Zbl 0558.92004Oster, George F.; Perelson, Alan S. 4 1985 A moving boundary model of acrosomal elongation. Zbl 0585.92027Perelson, Alan S.; Coutsias, Evangelos A. 4 1986 A mechanical model for elongation of the acrosomal process in Thyone sperm. Zbl 0492.92004Oster, George F.; Perelson, Alan S.; Tilney, Lewis G. 3 1982 Modeling defective interfering virus therapy for AIDS: Conditions for DIV survival. Zbl 0819.92010Nelson, George W.; Perelson, Alan S. 3 1995 Immune networks and immune responses. Zbl 0820.92008Rose, Randall; Perelson, Alan S. 3 1994 Duration of an intermittent episode of viremia. Zbl 1334.92245di Mascio, Michele; Percus, Jerome K.; Percus, Ora E.; Markowitz, Martin; Ho, David D.; Perelson, Alan S. 3 2005 A Cayley tree immune network model with antibody dynamics. Zbl 0813.92008Anderson, Russell W.; Neumann, Avidan U.; Perelson, Alan S. 3 1993 Immunological memory is associative. Zbl 0942.92006Smith, Derek J.; Forrest, Stephanie; Perelson, Alan S. 3 1999 The probability of HIV infection in a new host and its reduction with microbicides. Zbl 1143.92025Tuckwell, Henry C.; Shipman, Patrick D.; Perelson, Alan S. 3 2008 Influence of drug pharmacokinetics on HIV pathogenesis and therapy. Zbl 1268.92085Dixit, Narendra M.; Perelson, Alan S. 2 2005 Aggregation of cell surface receptors by multivalent ligands. Zbl 0492.92003Macken, Catherine A.; Perelson, Alan S. 2 1982 Early HIV infection predictions: role of viral replication errors. Zbl 1396.92045Conway, Jessica M.; Perelson, Alan S. 2 2018 Equilibrium binding of multivalent ligands to cells: Effects of cell and receptor density. Zbl 0856.92006Sulzer, Bernhard; Perelson, Alan S. 2 1996 Modeling deuterated glucose labeling of T-lymphocytes. Zbl 1334.92208Ribeiro, Ruy M.; Mohri, Hiroshi; Ho, David D.; Perelson, Alan S. 2 2002 On trace and determinant for entire operator functions. Zbl 0561.47012Perelson, A. 2 1984 A paradoxical instability caused by relatively short-range inhibition. Zbl 0693.92011Segel, Lee A.; Perelson, Alan S. 2 1990 Scaling aspects of lymphocyte trafficking. Zbl 1400.92078Perelson, Alan S.; Wiegel, Frederik W. 2 2009 Immune networks modeled by replicator equations. Zbl 0823.92008Stadler, Peter F.; Schuster, Peter; Perelson, Alan S. 2 1994 Explaining high alloreactivity as a quantitative consequence of affinity-driven thymocyte selection. Zbl 0922.92009Detours, Vincent; Perelson, Alan S. 2 1999 Description of electrical networks using bond graphs. Zbl 0326.94017Perelson, Alan S. 2 1976 Kinetic analysis of adsorption processes. Zbl 0649.92014Brendel, Volker; Perelson, Alan S. 2 1987 Workshop on statistical approaches for the evaluation of complex computer models. Zbl 1032.62102Berk, 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 1448.34166Akın, Elvan; Yeni, Gülşah; Perelson, Alan S. 1 2020 Mathematical modeling of escape of HIV from cytotoxic t lymphocyte responses. Zbl 1456.92080Ganusov, Vitaly V.; Neher, Richard A.; Perelson, Alan S. 1 2013 Optimal strategies for an immune response. Zbl 0413.92005Perelson, Alan S. 1 1979 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 Continuous and discrete modeling of HIV-1 decline on therapy. Zbl 1448.34166Akın, Elvan; Yeni, Gülşah; Perelson, Alan S. 1 2020 Early HIV infection predictions: role of viral replication errors. Zbl 1396.92045Conway, Jessica M.; Perelson, Alan S. 2 2018 Quantifying T lymphocyte turnover. Zbl 1322.92018De 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 1308.92067Rong, Libin; Perelson, Alan S. 11 2013 Towards multiscale modeling of influenza infection. Zbl 1330.92130Murillo, Lisa N.; Murillo, Michael S.; Perelson, Alan S. 8 2013 Spatial aspects of HIV infection. Zbl 1345.92143Graw, Frederik; Perelson, Alan S. 6 2013 Mathematical modeling of escape of HIV from cytotoxic t lymphocyte responses. Zbl 1456.92080Ganusov, Vitaly V.; Neher, Richard A.; Perelson, Alan S. 1 2013 Modeling sequence evolution in HIV-1 infection with recombination. Zbl 1330.92065Giorgi, Elena E.; Korber, Bette T.; Perelson, Alan S.; Bhattacharya, Tanmoy 1 2013 Evaluation of multitype mathematical models for CFSE-labeling experiment data. Zbl 1317.92028Miao, 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 1251.92021Rong, Libin; Ribeiro, Ruy M.; Perelson, Alan S. 5 2012 On identifiability of nonlinear ODE models and applications in viral dynamics. Zbl 1215.34015Miao, Hongyu; Xia, Xiaohua; Perelson, Alan S.; Wu, Hulin 101 2011 Persistence and emergence of X4 virus in HIV infection. Zbl 1259.92058Weinberger, Ariel D.; Perelson, Alan S. 1 2011 An accurate two-phase approximate solution to an acute viral infection model. Zbl 1198.92029Smith, Amber M.; Adler, Frederick R.; Perelson, Alan S. 8 2010 Modeling HIV persistence, the latent reservoir, and viral blips. Zbl 1402.92409Rong, Libin; Perelson, Alan S. 69 2009 Asymmetric division of activated latently infected cells may explain the decay kinetics of the HIV-1 latent reservoir and intermittent viral blips. Zbl 1158.92028Rong, Libin; Perelson, Alan S. 57 2009 Analysis of hepatitis C virus infection models with hepatocyte homeostasis. Zbl 1167.92014Reluga, Timothy C.; Dahari, Harel; Perelson, Alan S. 13 2009 Interpreting CFSE obtained division histories of B cells in vitro with Smith-Martin and cyton type models. Zbl 1173.92011Lee, 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 1403.92296Lee, 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. 5 2009 Scaling aspects of lymphocyte trafficking. Zbl 1400.92078Perelson, Alan S.; Wiegel, Frederik W. 2 2009 Parameter identifiability and estimation of HIV/AIDS dynamic models. Zbl 1146.92021Wu, Hulin; Zhu, Haihong; Miao, Hongyu; Perelson, Alan S. 35 2008 Modeling amantadine treatment of influenza A virus in vitro. Zbl 1400.92314Beauchemin, Catherine A. A.; McSharry, James J.; Drusano, George L.; Nguyen, Jack T.; Went, Gregory T.; Ribeiro, Ruy M.; 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 1166.92029Miao, Hongyu; Dykes, Carrie; Demeter, Lisa M.; Cavenaugh, James; Park, Sung Yong; Perelson, Alan S.; Wu, Hulin 15 2008 Backward bifurcations and multiple equilibria in epidemic models with structured immunity. Zbl 1398.92249Reluga, Timothy C.; Medlock, Jan; Perelson, Alan S. 14 2008 Modeling T cell proliferation and death in vitro based on labeling data: generalizations of the Smith-Martin cell cycle model. Zbl 1281.92020Lee, Ha Youn; Perelson, Alan S. 12 2008 Mathematical modeling of HIV-1 infection and drug therapy. Zbl 1382.92248Rong, Libin; Feng, Zhilan; Perelson, Alan S. 7 2008 The probability of HIV infection in a new host and its reduction with microbicides. Zbl 1143.92025Tuckwell, Henry C.; Shipman, Patrick D.; Perelson, Alan S. 3 2008 Mathematical analysis of age-structured HIV-1 dynamics with combination antiretroviral therapy. Zbl 1121.92043Rong, Libin; Feng, Zhilan; Perelson, Alan S. 81 2007 Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053Rong, Libin; Feng, Zhilan; Perelson, Alan S. 80 2007 Modeling the mechanisms of acute hepatitis B virus infection. Zbl 1455.92022Ciupe, Stanca M.; Ribeiro, Ruy M.; Nelson, Patrick W.; Perelson, Alan S. 21 2007 Modeling within-host HIV-1 dynamics and the evolution of drug resistance: trade-offs between viral enzyme function and drug susceptibility. Zbl 1455.92087Rong, Libin; Gilchrist, Michael A.; Feng, Zhilan; Perelson, Alan S. 18 2007 Modeling hepatitis C virus dynamics: liver regeneration and critical drug efficacy. Zbl 1455.92070Dahari, Harel; Lo, Arthur; Ribeiro, Ruy M.; Perelson, Alan S. 12 2007 Stochastic model of an influenza epidemic with drug resistance. Zbl 1451.92318Xu, Yaji; Allen, Linda J. S.; Perelson, Alan S. 5 2007 Estimating lymphocyte division and death rates from CFSE data. Zbl 1334.92112De 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 1334.92407Jonesa, Laura E.; Perelson, Alan S. 16 2005 Estimating division and death rates from CFSE data. Zbl 1074.92016De Boer, Rob J.; Perelson, Alan S. 15 2005 Optimization of influenza vaccine selection. Zbl 1165.90707Wu, Joseph T.; Wein, Lawrence M.; Perelson, Alan S. 8 2005 Human immunodeficiency virus: Quasi-species and drug resistance. Zbl 1068.92027Murray, John M.; Perelson, Alan S. 5 2005 Duration of an intermittent episode of viremia. Zbl 1334.92245di 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 1268.92085Dixit, 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 1060.92038Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S. 71 2004 Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay. Zbl 1439.92108Dixit, Narendra M.; Perelson, Alan S. 14 2004 Modeling the long-term control of viremia in HIV-1 infected patients treated with antiretroviral therapy. Zbl 1034.92014Di Mascio, Michele; Ribeiro, Ruy M.; Markowitz, Martin; Ho, David D.; Perelson, Alan S. 13 2004 Optimizing within-host viral fitness: infected cell lifespan and virion production rate. Zbl 1440.92026Gilchrist, Michael A.; Coombs, Daniel; Perelson, Alan S. 7 2004 Optimal viral production. Zbl 1334.92396Coombs, Daniel; Gilchrist, Michael A.; Percus, Jerome; Perelson, Alan S. 9 2003 The distribution of viral blips observed in HIV-1 infected patients treated with combination antiretroviral therapy. Zbl 1334.92238Percus, 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 0992.92035Nelson, Patrick W.; Perelson, Alan S. 191 2002 HIV-1 infection and low steady state viral loads. Zbl 1334.92227Callaway, Duncan S.; Perelson, Alan S. 137 2002 Modeling viral infections. Zbl 1025.92010Perelson, Alan S.; Nelson, Patrick W. 6 2002 Modeling deuterated glucose labeling of T-lymphocytes. Zbl 1334.92208Ribeiro, Ruy M.; Mohri, Hiroshi; Ho, David D.; Perelson, Alan S. 2 2002 Workshop on statistical approaches for the evaluation of complex computer models. Zbl 1032.62102Berk, 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 A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017Nelson, Patrick W.; Murray, James D.; Perelson, Alan S. 177 2000 Dynamics of one-pass germinal center models: implications for affinity maturation. Zbl 1323.92059Oprea, Mihaela; van Nimwegen, Erik; Perelson, Alan S. 6 2000 Mathematical analysis of HIV-1 dynamics in vivo. Zbl 1078.92502Perelson, Alan S.; Nelson, Patrick W. 555 1999 Th1/Th2 differentiation and cross-regulation. Zbl 1323.92056Fishman, Michael A.; Perelson, Alan S. 11 1999 Dissociation of HIV-1 from follicular dendritic cells during HAART: Mathematical analysis. Zbl 0983.92014Hlavacek, William S.; Wofsy, Carla; Perelson, Alan S. 6 1999 Immunological memory is associative. Zbl 0942.92006Smith, Derek J.; Forrest, Stephanie; Perelson, Alan S. 3 1999 Explaining high alloreactivity as a quantitative consequence of affinity-driven thymocyte selection. Zbl 0922.92009Detours, Vincent; Perelson, Alan S. 2 1999 Modeling the effects of prior infection on vaccine efficacy. Zbl 0923.92012Smith, 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 0946.92011Mittler, John E.; Sulzer, Bernhard; Neumann, Avidan U.; Perelson, Alan S. 114 1998 Drug concentration heterogeneity facilitates the evolution of drug resistance. Zbl 0919.92023Kepler, Thomas B.; Perelson, Alan S. 43 1998 Using lazy evaluation to simulate realistic-size repertoires in models of the immune system. Zbl 0934.92007Smith, Derek J.; Forrest, Stephanie; Ackley, David H.; Perelson, Alan S. 1 1998 Mathematical and computational challenges in population biology and ecosystems science. Zbl 1225.92058Levin, S. A.; Grenfell, B.; Hastings, A.; Perelson, A. S. 33 1997 A new bell-shaped function for idiotypic interactions based on cross-linking. Zbl 0853.92006de 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 0856.92006Sulzer, Bernhard; Perelson, Alan S. 2 1996 Protein evolution on partially correlated landscapes. Zbl 0832.92014Perelson, Alan S.; Macken, Catherine A. 14 1995 Modeling and optimization of populations subject to time-dependent mutation. Zbl 0832.92015Kepler, Thomas B.; Perelson, Alan S. 6 1995 Modeling defective interfering virus therapy for AIDS: Conditions for DIV survival. Zbl 0819.92010Nelson, George W.; Perelson, Alan S. 3 1995 Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Zbl 0789.92019Kuznetsov, Vladimir A.; Makalkin, Iliya A.; Taylor, Mark A.; Perelson, Alan S. 288 1994 Immune networks and immune responses. Zbl 0820.92008Rose, Randall; Perelson, Alan S. 3 1994 Immune networks modeled by replicator equations. Zbl 0823.92008Stadler, Peter F.; Schuster, Peter; Perelson, Alan S. 2 1994 Cell protrusions. Zbl 0821.92012Oster, George; Perelson, Alan S. 1 1994 Development of the T-cell repertoire: Clone size distribution. Zbl 0823.92007Merrill, Stephen J.; De Boer, Rob J.; Perelson, Alan S. 1 1994 Dynamics of HIV infection of CD4\(^ +\) T cells. Zbl 0796.92016Perelson, Alan S.; Kirschner, Denise E.; de Boer, Rob 344 1993 Immune network behavior. I: From stationary states to limit cycle oscillations. Zbl 0797.92014De Boer, Rob J.; Perelson, Alan S.; Kevrekidis, Ioannis G. 13 1993 Immune network behavior. II: From oscillations to chaos and stationary states. Zbl 0797.92015De Boer, Rob J.; Perelson, Alan S.; Kevrekidis, Ioannis G. 9 1993 A Cayley tree immune network model with antibody dynamics. Zbl 0813.92008Anderson, Russell W.; Neumann, Avidan U.; Perelson, Alan S. 3 1993 Modeling immune reactivity in secondary lymphoid organs. Zbl 0745.92013Perelson, Alan S.; Weisbuch, Gérard 7 1992 Evolutionary walks on rugged landscapes. Zbl 0755.92014Macken, Catherine A.; Hagan, Patrick S.; Perelson, Alan S. 12 1991 Theoretical immunology. Zbl 0781.92012Perelson, Alan S. 4 1990 A paradoxical instability caused by relatively short-range inhibition. Zbl 0693.92011Segel, Lee A.; Perelson, Alan S. 2 1990 Modeling the interaction of the immune system with HIV. Zbl 0683.92001Perelson, Alan S. 30 1989 Stem cell proliferation and differentiation. A multitype branching process model. Zbl 0681.92016Macken, 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 0649.92014Brendel, Volker; Perelson, Alan S. 2 1987 Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003Perelson, A. S.; Maini, P. K.; Murray, J. D.; Hyman, J. M.; Oster, G. F. 10 1986 A moving boundary model of acrosomal elongation. Zbl 0585.92027Perelson, Alan S.; Coutsias, Evangelos A. 4 1986 Spectral representation of a generalized trace and determinant. Zbl 0626.47025Perelson, A. 1 1986 Branching processes applied to cell surface aggregation phenomena. Zbl 0573.92001Macken, Catherine A.; Perelson, Alan S. 7 1985 Cell spreading and motility: A model lamellipod. Zbl 0558.92004Oster, George F.; Perelson, Alan S. 4 1985 Some stochastic models in immunology. Zbl 0569.92005Macken, Catherine A.; Perelson, Alan S. 1 1985 Kinetics of cell-mediated cytotoxicity: Stochastic and deterministic multistage models. Zbl 0571.92012Perelson, Alan S.; Macken, Catherine A. 5 1984 On trace and determinant for entire operator functions. Zbl 0561.47012Perelson, A. 2 1984 A mechanical model for elongation of the acrosomal process in Thyone sperm. Zbl 0492.92004Oster, George F.; Perelson, Alan S.; Tilney, Lewis G. 3 1982 Aggregation of cell surface receptors by multivalent ligands. Zbl 0492.92003Macken, 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 0478.92007Perelson, Alan S. 9 1981 Mathematical models in molecular and cellular biology. Zbl 0448.92001 30 1980 Receptor clustering on a cell surface. I. Theory of receptor cross- linking by ligands bearing two chemically identical functional groups. Zbl 0465.92006Perelson, Alan S.; DeLisi, Charles 24 1980 Tumors and the immune system: The effects of a tumor growth modulator. Zbl 0439.92004Albert, Arthur; Freedman, Marvin; Perelson, Alan S. 11 1980 Receptor clustering on a cell surface. II. Theory of receptor cross- linking by ligands bearing two chemically distinct functional groups. Zbl 0478.92006Perelson, Alan S. 6 1980 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,773 Authors 54 Elaiw, Ahmed M. 46 Perelson, Alan S. 33 Rong, Libin 23 Wu, Hulin 22 Wang, Jinliang 21 Song, Xinyu 20 Wang, Xia 20 Xu, Rui 18 Ma, Wanbiao 17 Xiao, Yanni 16 Jiang, Daqing 16 Takeuchi, Yasuhiro 15 Alshamrani, Noura H. 15 Banks, Harvey Thomas 15 Wang, Yan 13 Bocharov, Gennady A. 13 Qiu, Zhipeng 12 Chen, Yuming 12 Khajanchi, Subhas 12 Shu, Hongying 11 Li, Michael Yi 11 Liu, Shengqiang 10 Dong, Yueping 10 Guo, Ting 10 Huang, Yangxin 10 Li, Xuezhi 10 Lou, Jie 10 Rihan, Fathalla A. 10 Wang, Kaifa 9 Băleanu, Dumitru I. 9 Browne, Cameron J. 9 Bunimovich-Mendrazitsky, Svetlana 9 Cheke, Robert A. 9 d’Onofrio, Alberto 9 Li, Jianquan 9 Liu, Qun 9 Martcheva, Maia 9 Wang, Shaoli 8 Alshaikh, Matuka A. 8 Banerjee, Sandip 8 Blyuss, Konstantin B. 8 Eftimie, Raluca 8 Hattaf, Khalid 8 Hayat, Tasawar 8 Hobiny, Aatef D. 8 Jung, Il Hyo 8 Kuniya, Toshikazu 8 Ruan, Shigui 8 Smith?, Stacey R. 8 Wu, Jianhong 8 Yüzbaşı, Şuayip 8 Zhou, Xueyong 7 Allali, Karam 7 Al-saedi, Ahmed Eid Salem 7 Bairagi, Nandadulal 7 Chaplain, Mark A. J. 7 Ciupe, Stanca M. 7 De Boer, Rob J. 7 Dobrovolny, Hana M. 7 Feng, Zhilan 7 Gumel, Abba B. 7 Heffernan, Jane Marie 7 Huang, Gang 7 Kuang, Yang 7 Kyrychko, Yuliya N. 7 Liu, Lishan 7 Miao, Hongyu 7 Neumann, Avidan U. 7 Pitchaimani, M. 7 Sanjuán, Miguel A. F. 7 Tang, Sanyi 7 Teng, Zhi-dong 7 Tuncer, Necibe 7 Vaidya, Naveen K. 7 Wang, Lin 7 Wang, Wendi 7 Wang, Xiaoyan 7 Yang, Jin 7 Yang, Junyuan 7 Yousfi, Noura 7 Zhou, Yicang 7 Zou, Xingfu 6 Adak, Debadatta 6 Ainseba, Bedr’Eddine 6 Ali, Nigar 6 Allen, Linda J. S. 6 Balasubramaniam, Pagavathigounder 6 Cai, Liming 6 Das, Parthasakha 6 González-Parra, Gilberto C. 6 Iwami, Shingo 6 Kabanikhin, Sergeĭ Igorevich 6 Kirschner, Denise E. 6 Krivorotko, Olga I. 6 Kumar Roy, Priti 6 Kwon, Hee-Dae 6 Ledzewicz, Urszula 6 Liu, Xianning 6 Liu, Zijian 6 López, Álvaro G. ...and 2,673 more Authors all top 5 Cited in 235 Serials 143 Journal of Theoretical Biology 114 Bulletin of Mathematical Biology 111 Mathematical Biosciences 74 Mathematical Biosciences and Engineering 72 Journal of Mathematical Biology 65 Applied Mathematics and Computation 57 Chaos, Solitons and Fractals 52 International Journal of Biomathematics 46 Discrete and Continuous Dynamical Systems. 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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 Journal of Dynamics and Differential Equations 3 Journal of the Egyptian Mathematical Society 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Nonlinear Analysis. Hybrid Systems 3 S\(\vec{\text{e}}\)MA Journal 3 Discontinuity, Nonlinearity, and Complexity 3 Computational Methods for Differential Equations 2 Indian Journal of Pure & Applied Mathematics 2 Psychometrika 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Anais da Academia Brasileira de Ciências 2 Biometrical Journal 2 Integral Equations and Operator Theory 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Symbolic Computation 2 European Journal of Applied Mathematics 2 Journal of Statistical Computation and Simulation 2 Mathematical Programming. Series A. Series B 2 Journal of Mathematical Sciences (New York) ...and 135 more Serials all top 5 Cited in 40 Fields 1,530 Biology and other natural sciences (92-XX) 704 Ordinary differential equations (34-XX) 229 Dynamical systems and ergodic theory (37-XX) 156 Partial differential equations (35-XX) 152 Numerical analysis (65-XX) 103 Systems theory; control (93-XX) 99 Probability theory and stochastic processes (60-XX) 95 Statistics (62-XX) 85 Calculus of variations and optimal control; optimization (49-XX) 35 Computer science (68-XX) 33 Statistical mechanics, structure of matter (82-XX) 25 Operations research, mathematical programming (90-XX) 23 Combinatorics (05-XX) 22 Real functions (26-XX) 22 Integral equations (45-XX) 17 Difference and functional equations (39-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Operator theory (47-XX) 9 Information and communication theory, circuits (94-XX) 6 Approximations and expansions (41-XX) 5 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year