Mathematical Medicine and BiologyA Journal of the IMA Short Title: Math. Med. Biol. Publisher: Oxford University Press, Oxford; Institute of Mathematics and its Applications (IMA), Southend-on-Sea, Essex ISSN: 1477-8599; 1477-8602/e Online: https://academic.oup.com/imammb/issue Predecessor: IMA Journal of Mathematics Applied in Medicine and Biology Documents Indexed: 364 Publications (since 2003) all top 5 Latest Issues 38, No. 4 (2021) 38, No. 3 (2021) 38, No. 2 (2021) 37, No. 4 (2020) 37, No. 3 (2020) 37, No. 1 (2020) 36, No. 3 (2019) 36, No. 2 (2019) 36, No. 1 (2019) 35, No. 4 (2018) 35, No. 3 (2018) 35, No. 2 (2018) 35, No. 1 (2018) 35, Suppl 1 (2018) 34, No. 4 (2017) 34, No. 3 (2017) 34, No. 2 (2017) 34, No. 1 (2017) 33, No. 4 (2016) 33, No. 3 (2016) 33, No. 2 (2016) 33, No. 1 (2016) 32, No. 4 (2015) 32, No. 3 (2015) 32, No. 2 (2015) 32, No. 1 (2015) 31, No. 4 (2014) 31, No. 3 (2014) 31, No. 2 (2014) 31, No. 1 (2014) 30, No. 4 (2013) 30, No. 3 (2013) 30, No. 2 (2013) 30, No. 1 (2013) 29, No. 4 (2012) 29, No. 3 (2012) 29, No. 2 (2012) 29, No. 1 (2012) 28, No. 4 (2011) 28, No. 3 (2011) 28, No. 2 (2011) 28, No. 1 (2011) 27, No. 4 (2010) 27, No. 3 (2010) 27, No. 2 (2010) 27, No. 1 (2010) 26, No. 4 (2009) 26, No. 3 (2009) 26, No. 2 (2009) 26, No. 1 (2009) 25, No. 4 (2008) 25, No. 3 (2008) 25, No. 2 (2008) 25, No. 1 (2008) 24, No. 4 (2007) 24, No. 3 (2007) 24, No. 2 (2007) 24, No. 1 (2007) 23, No. 4 (2006) 23, No. 3 (2006) 23, No. 2 (2006) 23, No. 1 (2006) 22, No. 4 (2005) 22, No. 3 (2005) 22, No. 2 (2005) 22, No. 1 (2005) 21, No. 4 (2004) 21, No. 3 (2004) 21, No. 2 (2004) 21, No. 1 (2004) 20, No. 4 (2003) 20, No. 3 (2003) 20, No. 2 (2003) 20, No. 1 (2003) all top 5 Authors 13 Waters, Sarah Louise 10 King, John Robert 9 Braun, Richard J. 9 Byrne, Helen Mary 7 King-Smith, P. Ewen 7 Thomas, Alun 6 Fogelson, Aaron L. 6 Keener, James P. 6 Korobeinikov, Andrei 6 Whiteley, Jonathan P. 5 Sobey, Ian John 5 Wirth, Benedikt 4 Anderson, Alexander R. A. 4 Cannings, Chris 4 Chaplain, Mark A. J. 4 Driscoll, Tobin A. 4 Jensen, Oliver E. 4 Maini, Philip Kumar 4 Maki, Kara L. 4 Please, Colin P. 4 Preziosi, Luigi 4 Secomb, Timothy W. 3 Anderson, Daniel M. 3 Bolton, Larisse 3 Bottega, William J. 3 Chen, Lansun 3 Cummings, Linda J. 3 d’Onofrio, Alberto 3 Fine, Howard F. 3 Gaffney, Eamonn A. 3 Gavaghan, David J. 3 Greene, Tom 3 Guy, Robert D. 3 Henshaw, William D. 3 Hillen, Thomas 3 Jarrett, Angela M. 3 Khader, Karim 3 Kim, Minsun 3 Layton, Anita T. 3 Leecaster, Molly 3 Lenhart, Suzanne M. 3 O’Dea, Reuben D. 3 Pérez-García, Víctor Manuel 3 Prenner, Jonathan L. 3 Romasanta, Luis A. Pérez 3 Samore, Matthew 3 Shipley, Rebecca J. 3 Ward, John Paul 2 Adler, Frederick R. 2 Allen, Linda J. S. 2 Antoranz, J. C. 2 Arino, Julien 2 Bannish, Brittany E. 2 Basanta, David 2 Bearon, Rachel N. 2 Begley, Carolyn G. 2 Berezovskaya, Faina Semenovna 2 Bokes, Pavol 2 Britton, Tom 2 Broadbridge, Philip 2 Brook, Bindi S. 2 Casas, Jérôme 2 Chapman, Stephen Jonathan 2 Chatterjee, Samrat 2 Cloot, Alain H. J. J. 2 Cogan, Nicholas G. 2 Croft, Julie M. 2 da S. Costa, Michel Iskin 2 Dassios, George 2 De Gaetano, Andrea 2 Dobreva, Atanaska 2 dos Anjos, Lucas 2 Echavarría-Heras, Hector 2 Eshima, Nobuoki 2 Ferreira, José Augusto 2 Fitt, Alistair D. 2 Fok, Pak-Wing 2 Franks, Susan J. 2 Ghate, Archis 2 Gong, Jiafen 2 Greenhalgh, David 2 Griffith, Boyce E. 2 Holzapfel, Gerhard Alfred 2 Hove-Musekwa, Senelani Dorothy 2 Humphrey, Jay D. 2 Kelbert, Mark Ya. 2 Koerber, Adrian J. 2 Kuznetsov, Andrey V. 2 Kuznetsov, Ivan A. 2 Lenbury, Yongwimon 2 Li, Longfei 2 Liu, Bing 2 Martínez-González, Alicia 2 McCormick, Christopher 2 McGinty, Sean 2 McKee, Sean 2 Meyer-Hermann, Michael E. 2 Natalini, Roberto 2 Okada, Tadashige 2 Ottesen, Johnny Tom ...and 826 more Authors all top 5 Fields 363 Biology and other natural sciences (92-XX) 87 Partial differential equations (35-XX) 70 Numerical analysis (65-XX) 51 Ordinary differential equations (34-XX) 22 Statistics (62-XX) 21 Probability theory and stochastic processes (60-XX) 20 Dynamical systems and ergodic theory (37-XX) 19 Systems theory; control (93-XX) 18 Fluid mechanics (76-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 6 Combinatorics (05-XX) 6 Mechanics of deformable solids (74-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 226 Publications have been cited 2,084 times in 1,711 Documents Cited by ▼ Year ▼ Nonlinear incidence and stability of infectious disease models. Zbl 1076.92048Korobeinikov, Andrei; Maini, Philip K. 132 2005 Modelling solid tumour growth using the theory of mixtures. Zbl 1046.92023Byrne, Helen; Preziosi, Luigi 131 2003 A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Zbl 1073.92013Anderson, Alexander R. A. 107 2005 Lyapunov functions and global properties for SEIR and SEIS epidemic models. Zbl 1055.92051Korobeinikov, Andrei 64 2004 Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development. Zbl 1098.92037Chaplain, M. A. J.; Graziano, L.; Preziosi, L. 62 2006 Impact of delays in cell infection and virus production on HIV-1 dynamics. Zbl 1155.92031Zhu, Huiyan; Zou, Xingfu 55 2008 Mathematical modelling of the spatio-temporal response of cytotoxic \(T\)-lymphocytes to a solid tumour. Zbl 1061.92038Matzavinos, Anastasios; Chaplain, Mark A. J.; Kuznetsov, Vladimir A. 52 2004 A multi-species epidemic model with spatial dynamics. Zbl 1076.92045Arino, Julien; Davis, Jonathan R.; Hartley, David; Jordan, Richard; Miller, Joy M.; van den Driessche, P. 51 2005 Global asymptotic properties of virus dynamics models with dose-dependent parasite reproduction and virulence and nonlinear incidence rate. Zbl 1171.92034Korobeinikov, Andrei 46 2009 Predator-prey model with disease infection in both populations. Zbl 1154.92040Hsieh, Ying-Hen; Hsiao, Chin-Kuei 44 2008 ‘Go or grow’: the key to the emergence of invasion in tumour progression? Zbl 1234.92031Hatzikirou, H.; Basanta, D.; Simon, M.; Schaller, K.; Deutsch, A. 40 2012 The periodic competing Lotka-Volterra model with impulsive effect. Zbl 1055.92056Liu, Bing; Chen, Lansun 38 2004 The role of the biofilm matrix in structural development. Zbl 1055.92034Cogan, N. G.; Keener, James P. 33 2004 Stability of ecosystem: global properties of a general predator-prey model. Zbl 1178.92053Korobeinikov, Andrei 27 2009 Interactions between a uniformly proliferating tumour and its surroundings: Uniform material properties. Zbl 1044.92032Franks, S. J.; King, J. R. 27 2003 Fatal SIR diseases and rational exemption to vaccination. Zbl 1154.92031D’Onofrio, Alberto; Manfredi, Piero; Salinelli, Ernesto 25 2008 Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow. Zbl 1211.92030Leiderman, Karin; Fogelson, Aaron L. 25 2011 Mathematical modelling of comedo ductal carcinoma in situ of the breast. Zbl 1039.92021Franks, S. J.; Byrne, H. M.; Mudhar, H. S.; Underwood, J. C. E.; Lewis, C. E. 23 2003 Extinction and permanence of a two-prey one-predator system with impulsive effect. Zbl 1046.92051Zhang, Yujuan; Liu, Bing; Chen, Lansun 22 2003 Modelling drainage of the precorneal tear film after a blink. Zbl 1042.92004Braun, R. J.; Fitt, A. D. 21 2003 A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036Plank, M. J.; Sleeman, B. D. 21 2003 Continuum approximations of individual-based models for epithelial monolayers. Zbl 1184.92011Fozard, J. A.; Byrne, H. M.; Jensen, O. E.; King, J. R. 20 2010 Multistrain virus dynamics with mutations: a global analysis. Zbl 1162.92021de Leenheer, Patrick; Pilyugin, Sergei S. 20 2008 When a predator avoids infected prey: a model-based theoretical study. Zbl 1184.92052Haque, Mainul; Greenhalgh, David 19 2010 Global asymptotic stability for HIV-1 dynamics with two distributed delays. Zbl 1401.92141Wang, Jinliang; Huang, Gang; Takeuchi, Yasuhiro 19 2012 Fibrin gel formation in a shear flow. Zbl 1115.92017Guy, Robert D.; Fogelson, Aaron L.; Keener, James P. 16 2007 A family of models of angiogenesis and anti-angiogenesis anti-cancer therapy. Zbl 1157.92024d’Onofrio, Alberto; Gandolfi, Alberto 16 2009 Effective equations for anisotropic glioma spread with proliferation: a multiscale approach and comparisons with previous settings. Zbl 1400.92249Engwer, Christian; Hunt, Alexander; Surulescu, Christina 16 2016 Single-equation models for the tear film in a blink cycle: Realistic lid motion. Zbl 1146.92012Heryudono, A.; Braun, R. J.; Driscoll, T. A.; Maki, K. L.; Cook, L. P.; King-Smith, P. E. 16 2007 Mathematical modelling of active contraction in isolated cardiomyocytes. Zbl 1304.92054Ruiz-Baier, Ricardo; Gizzi, Alessio; Rossi, Simone; Cherubini, Christian; Laadhari, Aymen; Filippi, Simonetta; Quarteroni, Alfio 16 2014 Dynamics of tear film deposition and draining. Zbl 1091.92025Jones, M. B.; Please, C. P.; McElwain, D. L. S.; Fulford, G. R.; Roberts, A. P.; Collins, M. J. 16 2005 Application of a threshold policy in the management of multispecies fisheries and predator culling. Zbl 1111.92057Iskin da Silveira Costa, Michel; Mendoza Meza, Magno Enrique 16 2006 Bifurcations of an epidemic model with non-linear incidence and infection-dependent removal rate. Zbl 1098.92058Moghadas, Seyed M.; Alexander, Murray E. 15 2006 Global stability of a population dynamics model with inhibition and negative feedback. Zbl 1318.92044Vargas-De-León, Cruz; Korobeinikov, Andrei 15 2013 Qualitative assessment of the role of public health education program on HIV transmission dynamics. Zbl 1223.92055Hussaini, N.; Winter, M.; Gumel, A. B. 15 2011 A mathematical model of atherogenesis as an inflammatory response. Zbl 1080.92040Ibragimov, A. I.; McNeal, C. J.; Ritter, L. R.; Walton, J. R. 15 2005 Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection. Zbl 1117.92032Carletti, Margherita 14 2006 Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. Zbl 1071.92015Fogelson, Aaron L.; Guy, Robert D. 14 2004 A multiphase model for tissue construct growth in a perfusion bioreactor. Zbl 1190.92008O’Dea, R. D.; Waters, S. L.; Byrne, H. M. 13 2010 Nutrient-rich plankton communities stabilized via predator-prey interactions: revisiting the role of vertical heterogeneity. Zbl 1216.92066Morozov, Andrew; Arashkevich, Elena; Nikishina, Anastasia; Solovyev, Konstantin 13 2011 Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment. Zbl 1190.92015Ledzewicz, Urszula; Marriott, John; Maurer, Helmut; Schättler, Heinz 12 2010 A model for wetting and evaporation of a post-blink precorneal tear film. Zbl 1196.92005Winter, Katlyn N.; Anderson, Daniel M.; Braun, Richard J. 12 2010 Delay effects in the response of low-grade gliomas to radiotherapy: a mathematical model and its therapeutical implications. Zbl 1325.92049Pérez-García, Víctor M.; Bogdanska, Magdalena; Martínez-González, Alicia; Belmonte-Beitia, Juan; Schucht, Philippe; Pérez-Romasanta, Luis A. 11 2015 A multiscale analysis of nutrient transport and biological tissue growth in vitro. Zbl 1325.92061O’Dea, R. D.; Nelson, M. R.; El Haj, A. J.; Waters, S. L.; Byrne, H. M. 11 2015 AVM modelling by multi-branching tube flow: Large flow rates and dual solutions. Zbl 1039.92016Smith, F. T.; Jones, M. A. 11 2003 On a cell-growth model for plankton. Zbl 1062.92065Basse, B.; Wake, G. C.; Wall, D. J. N.; van Brunt, B. 10 2004 Seasonally varying epidemics with and without latent period: a comparative simulation study. Zbl 1118.92053Moneim, I. A. 10 2007 Multiphase modelling of cell behaviour on artificial scaffolds: effects of nutrient depletion and spatially nonuniform porosity. Zbl 1118.92024Lemon, G.; King, J. R. 10 2007 Cell-signalling repression in bacterial quorum sensing. Zbl 1055.92017Ward, J. P.; King, J. R.; Koerber, A. J.; Croft, J. M.; Sockett, R. E.; Williams, P. 10 2004 Alzheimer’s disease: a mathematical model for onset and progression. Zbl 1400.92242Bertsch, Michiel; Franchi, Bruno; Marcello, Norina; Tesi, Maria Carla; Tosin, Andrea 10 2017 Variability in the secretion of corticotropin-releasing hormone, adrenocorticotropic hormone and cortisol and understandability of the hypothalamic-pituitary-adrenal axis dynamics – a mathematical study based on clinical evidence. Zbl 1146.92008Bairagi, N.; Chatterjee, Samrat; Chattopadhyay, J. 10 2008 Patient-specific modelling of head-up tilt. Zbl 1307.92140Williams, Nakeya D.; Wind-Willassen, Øistein; Wright, Andrew A.; Mehlsen, Jesper; Ottesen, Johnny T.; Olufsen, Mette S. 9 2014 Biphasic behaviour in malignant invasion. Zbl 1098.92040Marchant, Ben P.; Norbury, John; Byrne, Helen M. 9 2006 An overset grid method for the study of reflex tearing. Zbl 1154.92014Maki, K. L.; Braun, R. J.; Driscoll, T. A.; King-Smith, P. E. 9 2008 Control of invasive hosts by generalist parasitoids. Zbl 1146.92033Magal, Christelle; Cosner, Chris; Ruan, Shigui; Casas, Jérôme 9 2008 A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor. Zbl 1318.92013Shakeel, Muhammad; Matthews, Paul C.; Graham, Richard S.; Waters, Sarah L. 9 2013 Release mechanism and parameter estimation in drug-eluting stent systems: analytical solutions of drug release and tissue transport. Zbl 1329.92046McGinty, Sean; McKee, Sean; McCormick, Christopher; Wheel, Marcus 8 2015 A mathematical model for antimalarial drug resistance. Zbl 1228.92042Tchuenche, Jean M.; Chiyaka, Christinah; Chan, David; Matthews, Amanda; Mayer, Ghislaine 8 2011 Estimating the number of prions in yeast cells. Zbl 1071.92012Cole, D. J.; Morgan, B. J. T.; Ridout, M. S.; Byrne, L. J.; Tuite, M. F. 8 2004 A non-local model for cancer stem cells and the tumour growth paradox. Zbl 1400.92244Borsi, I.; Fasano, A.; Primicerio, M.; Hillen, T. 8 2017 Modelling disease spread in dispersal networks at two levels. Zbl 1223.92059Xiao, Yanni; Zhou, Yicang; Tang, Sanyi 8 2011 Tear film dynamics on an eye-shaped domain. I: Pressure boundary conditions. Zbl 1196.92004Maki, Kara L.; Braun, Richard J.; Henshaw, William D.; King-Smith, P. Ewen 8 2010 A model of cell migration within the extracellular matrix based on a phenotypic switching mechanism. Zbl 1196.92006Chauviere, A.; Preziosi, L.; Byrne, H. 8 2010 Effect of tubular inhomogeneities on feedback-mediated dynamics of a model of a thick ascending limb. Zbl 1272.92007Ryu, Hwayeon; Layton, Anita T. 8 2013 Modelling drug-eluting stents. Zbl 1211.92032McGinty, Sean; McKee, Sean; Wadsworth, Roger M.; McCormick, Christopher 8 2011 A proposed fractional-order Gompertz model and its application to tumour growth data. Zbl 1350.92023Bolton, Larisse; Cloot, Alain H. J. J.; Schoombie, Schalk W.; Slabbert, Jacobus P. 7 2015 Combined therapies of antithrombotics and antioxidants delay in silico brain tumour progression. Zbl 1325.92048Martínez-González, Alicia; Durán-Prado, Mario; Calvo, Gabriel F.; Alcaín, Francisco J.; Pérez-Romasanta, Luis A.; Pérez-García, Víctor M. 7 2015 A multiscale approach to modelling electrochemical processes occurring across the cell membrane with application to transmission of action potentials. Zbl 1171.92013Richardson, G. 7 2009 A mathematical model of lipid-mediated thrombin generation. Zbl 1044.92023Bungay, Sharene D.; Gentry, Patricia A.; Gentry, Rodney D. 7 2003 Modelling original antigenic sin in dengue viral infection. Zbl 1404.92119Nikin-Beers, Ryan; Ciupe, Stanca M. 7 2018 Paradox of enrichment and system order reduction: bacteriophages dynamics as case study. Zbl 1400.92507Korobeinikov, Andrei; Shchepakina, Elena; Sobolev, Vladimir 7 2016 Assessment of cancer immunotherapy outcome in terms of the immune response time features. Zbl 1148.92022Rodríguez-Pérez, D.; Sotolongo-Grau, Oscar; Riquelme, Ramón Espinosa; Sotolongo-Costa, Oscar; Miranda, J. Antonio Santos; Antoranz, J. C. 7 2007 Shock formation and non-linear dispersion in a microvascular capillary network. Zbl 1146.92014Pop, S. R.; Richardson, G.; Waters, S. L.; Jensen, O. E. 7 2007 Modelling the compression and reorganization of cell aggregates. Zbl 1328.92016Giverso, C.; Preziosi, L. 7 2012 Within-host population dynamics of antibiotic-resistant M. tuberculosis. Zbl 1118.92033Alavez-Ramírez, Justino; Castellanos, J. Rogelio Avendaño; Esteva, Lourdes; Flores, José Antonio; Fuentes-Allen, José Luis; García-Ramos, Gisela; Gómez, Guillermo; López-Estrada, Jesús 6 2007 An analysis of B cell selection mechanisms in germinal centers. Zbl 1098.92041Meyer-Hermann, Michael E.; Maini, Philip K.; Iber, Dagmar 6 2006 Tissue growth in a rotating bioreactor. I: Mechanical stability. Zbl 1117.92020Waters, S. L.; Cummings, L. J.; Shakesheff, K. M.; Rose, F. R. A. J. 6 2006 The impact of uncertainty in a blood coagulation model. Zbl 1178.92013Danforth, Christopher M.; Orfeo, Thomas; Mann, Kenneth G.; Brummel-Ziedins, Kathleen E.; Everse, Stephen J. 6 2009 Thin-film theories for two-phase reactive flow models of active cell motion. Zbl 1069.92002Oliver, J. M.; King, J. R.; McKinlay, K. J.; Brown, P. D.; Grant, D. M.; Scotchford, C. A.; Wood, J. V. 6 2005 Dynamics of group formation in collective motion of organisms. Zbl 1071.92046Babak, Petro; Magnússon, Kjartan G.; Sigurdsson, Sven 6 2004 On tear film breakup (TBU): dynamics and imaging. Zbl 1404.92069Braun, Richard J.; Driscoll, Tobin A.; Begley, Carolyn G.; King-Smith, P. Ewen; Siddique, Javed I. 6 2018 Role of horizontal incidence in the occurrence and control of chaos in an eco-epidemiological system. Zbl 1148.92029Chatterjee, Samrat; Kundu, Kusumika; Chattopadhyay, J. 6 2007 Calcium release site ultrastructure and the dynamics of puffs and sparks. Zbl 1146.92011Deremigio, Hilary; Groff, Jeffrey R.; Smith, Gregory D. 6 2008 Are more complicated tumour control probability models better? Zbl 1318.92029Gong, Jiafen; Dos Santos, Mairon M.; Finlay, Chris; Hillen, Thomas 6 2013 Global well-posedness of infectious disease models without life-time immunity: the cases of cholera and avian influenza. Zbl 1410.92144Yamazaki, Kazuo 6 2018 Modelling host tissue degradation by extracellular bacterial pathogens. Zbl 1042.92015King, J. R.; Koerber, A. J.; Croft, J. M.; Ward, J. P.; Williams, P.; Sockett, R. E. 6 2003 A patient-specific model of the negative-feedback control of the hypothalamus-pituitary-thyroid (HPT) axis in autoimmune (Hashimoto’s) thyroiditis. Zbl 1304.92071Pandiyan, Balamurugan; Merrill, Stephen J.; Benvenga, Salvatore 6 2014 A mathematical model of intestinal oedema formation. Zbl 1304.92073Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen 6 2014 A mathematical model for the human menstrual cycle. Zbl 1304.92049Chen, C. Y.; Ward, J. P. 6 2014 Dynamics of population communities with prey migrations and Allee effects: a bifurcation approach. Zbl 1216.92059Berezovskaya, Faina; Wirkus, S.; Song, B.; Castillo-Chavez, C. 6 2011 Growth of necrotic cores in atherosclerotic plaque. Zbl 1252.92029Fok, Pak-Wing 6 2012 Mathematically modelling the spread of hepatitis C in injecting drug users. Zbl 1401.92180Corson, S.; Greenhalgh, D.; Hutchinson, S. 6 2012 Deterministic modelling for transmission of human papillomavirus 6/11: impact of vaccination. Zbl 1291.92084Ribassin-Majed, Laureen; Lounes, Rachid; Clemençon, Stephan 6 2014 Multiphase modelling of the influence of fluid flow and chemical concentration on tissue growth in a hollow fibre membrane bioreactor. Zbl 1345.92095Pearson, Natalie C.; Shipley, Rebecca J.; Waters, Sarah L.; Oliver, James M. 5 2014 Transcription dynamics of inducible genes modulated by negative regulations. Zbl 1350.92019Li, Yanyan; Tang, Moxun; Yu, Jianshe 5 2015 A comparison between the diffusion-reaction and slow axonal transport models for predicting tau distribution along an axon. Zbl 1325.92020Kuznetsov, I. A.; Kuznetsov, A. V. 5 2015 Disease emergence in multi-host epidemic models. Zbl 1115.92050McCormack, Robert K.; Allen, Linda J. S. 5 2007 Bayesian inference in a hidden stochastic two-compartment model for feline hematopoiesis. Zbl 1098.62145Golinelli, D.; Guttorp, P.; Abkowitz, J. A. 5 2006 An axisymmetric and fully 3D poroelastic model for the evolution of hydrocephalus. Zbl 1117.92017With, Benedikt; Sobey, Ian 5 2006 Population dynamics of HTLV-I infection: A discrete-time mathematical epidemic model approach. Zbl 1042.92029Eshima, Nobuoki; Tabata, Minoru; Okada, Tadashige; Karukaya, Shigeru 5 2003 Modeling the transmission of the new coronavirus in São Paulo State, Brazil – assessing the epidemiological impacts of isolating young and elder persons. Zbl 1467.92219Mo Yang, Hyun; Pedro Lombardi Junior, Luis; Campos Yang, Ariana 1 2021 A mathematical model of viral oncology as an immuno-oncology instigator. Zbl 1437.92036Cassidy, Tyler; Humphries, Antony. 2 2020 Optimal control with MANF treatment of photoreceptor degeneration. Zbl 1437.92035Camacho, Erika T.; Lenhart, Suzanne; Melara, Luis A.; Villalobos, M. Cristina; Wirkus, Stephen 1 2020 A hybrid discrete-continuum approach for modelling microcirculatory blood flow. Zbl 1437.92042Shipley, Rebecca J.; Smith, Amy F.; Sweeney, Paul W.; Pries, Axel R.; Secomb, Timothy W. 1 2020 Mathematically modelling inflammation as a promoter of tumour growth. Zbl 1457.92047Wilkie, Kathleen P.; Aktar, Farjana 1 2020 Optimal vaccine allocation during the mumps outbreak in two SIR centres. Zbl 1453.92185Chernov, Alexey A.; Kelbert, Mark Y.; Shemendyuk, Aleksandr A. 1 2020 The interplay between fishery yield and top predator culling in a multispecies fishery context. Zbl 1453.92342da S. Costa, Michel Iskin; Dos Anjos, Lucas 1 2020 Mathematical modelling of glob-driven tear film breakup. Zbl 1418.92035Zhong, Lanz; Ketelaar, C. F.; Braun, R. J.; Begley, C. G.; King-Smith, P. E. 3 2019 Functional optimality of the sulcus pattern of the human brain. Zbl 1418.92007Heyden, S.; Ortiz, M. 2 2019 Modelling original antigenic sin in dengue viral infection. Zbl 1404.92119Nikin-Beers, Ryan; Ciupe, Stanca M. 7 2018 On tear film breakup (TBU): dynamics and imaging. Zbl 1404.92069Braun, Richard J.; Driscoll, Tobin A.; Begley, Carolyn G.; King-Smith, P. Ewen; Siddique, Javed I. 6 2018 Global well-posedness of infectious disease models without life-time immunity: the cases of cholera and avian influenza. Zbl 1410.92144Yamazaki, Kazuo 6 2018 A discrete in continuous mathematical model of cardiac progenitor cells formation and growth as spheroid clusters (cardiospheres). Zbl 1404.92026Di Costanzo, Ezio; Giacomello, Alessandro; Messina, Elisa; Natalini, Roberto; Pontrelli, Giuseppe; Rossi, Fabrizio; Smits, Robert; Twarogowska, Monika 3 2018 Fluid dynamics in heart development: effects of hematocrit and trabeculation. Zbl 1410.92032Battista, Nicholas A.; Lane, Andrea N.; Liu, Jiandong; Miller, Laura A. 3 2018 Mathematical model of T-cell lymphoblastic lymphoma: disease, treatment, cure or relapse of a virtual cohort of patients. Zbl 1404.92095Eymard, N.; Volpert, V.; Kurbatova, P.; Bessonov, N.; Ogungbenro, K.; Aarons, L.; Janiaud, P.; Nony, P.; Bajard, A.; Chabaud, S.; Bertrand, Y.; Kassaï, B.; Cornu, C. 2 2018 Stability and Hopf bifurcation analysis for the hypothalamic-pituitary-adrenal axis model with memory. Zbl 1404.92063Kaslik, Eva; Neamtu, Mihaela 2 2018 Pathogen transfer through environment-host contact: an agent-based queueing theoretic framework. Zbl 1404.92175Chen, Shi; Lenhart, Suzanne; Day, Judy D.; Lee, Chihoon; Dulin, Michael; Lanzas, Cristina 2 2018 Relating cell shape and mechanical stress in a spatially disordered epithelium using a vertex-based model. Zbl 1404.92023Nestor-Bergmann, Alexander; Goddard, Georgina; Woolner, Sarah; Jensen, Oliver E. 2 2018 Aggregation and travelling wave dynamics in a two-population model of cancer cell growth and invasion. Zbl 1410.92030Bitsouni, Vasiliki; Trucu, Dumitru; Chaplain, Mark A. J.; Eftimie, Raluca 2 2018 Early treatment gains for antibiotic administration and within human host time series data. Zbl 1404.92122Young, Todd R.; Boczko, Erik M. 1 2018 Pattern formation in multiphase models of chemotactic cell aggregation. Zbl 1404.92035Green, J. E. F.; Whiteley, J. P.; Oliver, J. M.; Byrne, H. M.; Waters, S. L. 1 2018 Flow in the anterior chamber of the eye with an implanted iris-fixated artificial lens. Zbl 1404.92075Tweedy, Jennifer H.; Pralits, Jan O.; Repetto, Rodolfo; Soleri, Paolo 1 2018 Analysing the dynamics of a model for alopecia areata as an autoimmune disorder of hair follicle cycling. Zbl 1404.92093Dobreva, Atanaska; Paus, Ralf; Cogan, N. G. 1 2018 The effect of stochasticity on repair of DNA double strand breaks throughout non-homologous end joining pathway. Zbl 1410.92038Mohseni-Salehi, Fazeleh S.; Zare-Mirakabad, Fatemeh; Ghafouri-Fard, Soudeh; Sadeghi, Mehdi 1 2018 Alzheimer’s disease: a mathematical model for onset and progression. Zbl 1400.92242Bertsch, Michiel; Franchi, Bruno; Marcello, Norina; Tesi, Maria Carla; Tosin, Andrea 10 2017 A non-local model for cancer stem cells and the tumour growth paradox. Zbl 1400.92244Borsi, I.; Fasano, A.; Primicerio, M.; Hillen, T. 8 2017 Spatial modelling of tumour drug resistance: the case of GIST liver metastases. Zbl 1400.92268Lefebvre, Guillaume; Cornelis, François; Cumsille, Patricio; Colin, Thierry; Poignard, Clair; Saut, Olivier 3 2017 Iontophoretic transdermal drug delivery: a multi-layered approach. Zbl 1400.92281Pontrelli, Giuseppe; Lauricella, Marco; Ferreira, José A.; Pena, Gonçalo 3 2017 A biochemical and mechanical model of injury-induced intimal thickening. Zbl 1400.92135Fok, Pak-Wing; Sanft, Rebecca 2 2017 What mechanisms of tau protein transport could be responsible for the inverted tau concentration gradient in degenerating axons? Zbl 1400.92267Kuznetsov, I. A.; Kuznetsov, A. V. 2 2017 A model of the effects of cancer cell motility and cellular adhesion properties on tumour-immune dynamics. Zbl 1400.92252Frascoli, Federico; Flood, Emelie; Kim, Peter S. 2 2017 Mass drug administration: the importance of synchrony. Zbl 1400.92253Gao, Daozhou; Lietman, Thomas M.; Dong, Chao-Ping; Porco, Travis C. 2 2017 Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain 1 2017 Mathematical modelling of cardiovascular response to the valsalva manoeuvre. Zbl 1400.92282Pstras, Leszek; Thomaseth, Karl; Waniewski, Jacek; Balzani, Italo; Bellavere, Federico 1 2017 Dynamical properties and thresholds of an HIV model with super-infection. Zbl 1400.92524Malunguza, N. J.; Hove-Musekwa, S. D.; Dube, S.; Mukandavire, Z. 1 2017 Effective equations for anisotropic glioma spread with proliferation: a multiscale approach and comparisons with previous settings. Zbl 1400.92249Engwer, Christian; Hunt, Alexander; Surulescu, Christina 16 2016 Paradox of enrichment and system order reduction: bacteriophages dynamics as case study. Zbl 1400.92507Korobeinikov, Andrei; Shchepakina, Elena; Sobolev, Vladimir 7 2016 Revisiting a two-patch SIS model with infection during transport. Zbl 1343.92458Arino, Julien; Sun, Chengjun; Yang, Wei 4 2016 Improving Bacillus Calmette-Guérin (BCG) immunotherapy for bladder cancer by adding interleukin 2 (IL-2): a mathematical model. Zbl 1400.92245Bunimovich-Mendrazitsky, Svetlana; Halachmi, Sarel; Kronik, Natalie 4 2016 Extreme protraction for low-grade gliomas: theoretical proof of concept of a novel therapeutical strategy. Zbl 1400.92279Pérez-García, Víctor M.; Pérez-Romasanta, Luis A. 4 2016 A Green’s function method for simulation of time-dependent solute transport and reaction in realistic microvascular geometries. Zbl 1400.92159Secomb, Timothy W. 4 2016 Computed tear film and osmolarity dynamics on an eye-shaped domain. Zbl 1400.92157Li, Longfei; Braun, Richard J.; Driscoll, Tobin A.; Henshaw, William D.; Banks, Jeffrey W.; King-Smith, P. Ewen 3 2016 Optimal fractionation in radiotherapy with multiple normal tissues. Zbl 1400.92285Saberian, Fatemeh; Ghate, Archis; Kim, Minsun 3 2016 A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity. Zbl 1400.92071Clarelli, F.; Di Russo, C.; Natalini, Roberto; Ribot, M. 3 2016 Uncovering the natural history of cancer from post-mortem cross-sectional diameters of hepatic metastases. Zbl 1400.92259Hanin, Leonid; Rose, Jason 2 2016 Numerical resolution of a model of tumour growth. Zbl 1343.92238Muñoz, Ana I. 1 2016 Conduction of feedback-mediated signal in a computational model of coupled nephrons. Zbl 1343.92187Sgouralis, Ioannis; Layton, Anita T. 1 2016 Aggregation and asymptotic analysis of an SI-epidemic model for heterogeneous populations. Zbl 1400.92546Veliov, V. M.; Widder, A. 1 2016 A coupled non-Fickian model of a cardiovascular drug delivery system. Zbl 1400.92250Ferreira, J. A.; Naghipoor, J.; de Oliveira, Paula 1 2016 On the influence of an equatorial cerclage on closure of posterior retinal detachment. Zbl 1400.92254Ge, Peinan; Bottega, William J.; Prenner, Jonathan L.; Fine, Howard F. 1 2016 Delay effects in the response of low-grade gliomas to radiotherapy: a mathematical model and its therapeutical implications. Zbl 1325.92049Pérez-García, Víctor M.; Bogdanska, Magdalena; Martínez-González, Alicia; Belmonte-Beitia, Juan; Schucht, Philippe; Pérez-Romasanta, Luis A. 11 2015 A multiscale analysis of nutrient transport and biological tissue growth in vitro. Zbl 1325.92061O’Dea, R. D.; Nelson, M. R.; El Haj, A. J.; Waters, S. L.; Byrne, H. M. 11 2015 Release mechanism and parameter estimation in drug-eluting stent systems: analytical solutions of drug release and tissue transport. Zbl 1329.92046McGinty, Sean; McKee, Sean; McCormick, Christopher; Wheel, Marcus 8 2015 A proposed fractional-order Gompertz model and its application to tumour growth data. Zbl 1350.92023Bolton, Larisse; Cloot, Alain H. J. J.; Schoombie, Schalk W.; Slabbert, Jacobus P. 7 2015 Combined therapies of antithrombotics and antioxidants delay in silico brain tumour progression. Zbl 1325.92048Martínez-González, Alicia; Durán-Prado, Mario; Calvo, Gabriel F.; Alcaín, Francisco J.; Pérez-Romasanta, Luis A.; Pérez-García, Víctor M. 7 2015 Transcription dynamics of inducible genes modulated by negative regulations. Zbl 1350.92019Li, Yanyan; Tang, Moxun; Yu, Jianshe 5 2015 A comparison between the diffusion-reaction and slow axonal transport models for predicting tau distribution along an axon. Zbl 1325.92020Kuznetsov, I. A.; Kuznetsov, A. 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R. 1 2013 Minimizing the passive release of heparin-binding growth factors from an affinity-based delivery system. Zbl 1278.92023Vo, Tuoi T. N.; Meere, Martin G. 1 2013 ‘Go or grow’: the key to the emergence of invasion in tumour progression? Zbl 1234.92031Hatzikirou, H.; Basanta, D.; Simon, M.; Schaller, K.; Deutsch, A. 40 2012 Global asymptotic stability for HIV-1 dynamics with two distributed delays. Zbl 1401.92141Wang, Jinliang; Huang, Gang; Takeuchi, Yasuhiro 19 2012 Modelling the compression and reorganization of cell aggregates. Zbl 1328.92016Giverso, C.; Preziosi, L. 7 2012 Growth of necrotic cores in atherosclerotic plaque. Zbl 1252.92029Fok, Pak-Wing 6 2012 Mathematically modelling the spread of hepatitis C in injecting drug users. Zbl 1401.92180Corson, S.; Greenhalgh, D.; Hutchinson, S. 6 2012 Fluid and mass transport modelling to drive the design of cell-packed hollow fibre bioreactors for tissue engineering applications. Zbl 1252.92019Shipley, Rebecca J.; Waters, Sarah L. 5 2012 Applying a patient-specific bio-mathematical model of glioma growth to develop virtual [18F]-FMISO-PET images. Zbl 1234.92030Gu, Stanley; Chakraborty, Gargi; Champley, Kyle; Alessio, Adam M.; Claridge, Jonathan; Rockne, Russell; Muzi, Mark; Krohn, Kenneth A.; Spence, Alexander M.; Alvord, Ellsworth C. jun.; Anderson, Alexander R. A.; Kinahan, Paul E.; Swanson, Kristin R. 4 2012 The promoting role of a tumour-secreted chemorepellent in self-metastatic tumour progression. Zbl 1234.92027Enderling, Heiko; Hlatky, Lynn; Hahnfeldt, Philip 3 2012 Computational models of VEGF-associated angiogenic processes in cancer. Zbl 1234.92037Stefanini, Marianne O.; Qutub, Amina A.; Gabhann, Feilim Mac; Popel, Aleksander S. 2 2012 Aging impact on brain biomechanics with applications to hydrocephalus. Zbl 1328.92021Wilkie, K. P.; Drapaca, C. S.; Sivaloganathan, S. 2 2012 Spontaneous oscillations in a model for active control of microvessel diameters. Zbl 1241.92008Arciero, J. C.; Secomb, T. W. 2 2012 Mathematical modelling the age dependence of Epstein-Barr virus associated infectious mononucleosis. Zbl 1401.92183Huynh, Giao T.; Adler, Frederick R. 2 2012 Identifying therapeutic targets in a combined EGFR-TGF\(\beta\)R signalling cascade using a multiscale agent-based cancer model. Zbl 1234.92039Wang, Zhihui; Bordas, Veronika; Sagotsky, Jonathan; Deisboeck, Thomas S. 1 2012 Peristaltic transport and mixing of cytosol through the whole body of Physarum plasmodium. Zbl 1401.92052Iima, Makoto; Nakagaki, Toshiyuki 1 2012 Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow. Zbl 1211.92030Leiderman, Karin; Fogelson, Aaron L. 25 2011 ...and 126 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,129 Authors 27 Byrne, Helen Mary 22 Chaplain, Mark A. J. 22 d’Onofrio, Alberto 18 King, John Robert 16 Wang, Jinliang 16 Waters, Sarah Louise 15 Korobeinikov, Andrei 14 Fogelson, Aaron L. 14 Simpson, Matthew J. 13 Liu, Zhijun 12 Lorenzi, Tommaso 12 Maini, Philip Kumar 12 Song, Xinyu 12 Surulescu, Christina 12 Whiteley, Jonathan P. 11 Chen, Lansun 11 Lowengrub, John Samuel 11 Tang, Sanyi 10 Anderson, Alexander R. A. 10 Braun, Richard J. 10 Buonomo, Bruno 10 Gandolfi, Alberto 10 O’Dea, Reuben D. 10 Preziosi, Luigi 10 Vargas-De-León, Cruz 9 Elaiw, Ahmed M. 9 Fasano, Antonio 9 Georgescu, Paul 9 Layton, Anita T. 9 Martcheva, Maia 9 Ottesen, Johnny Tom 9 Quarteroni, Alfio M. 9 Ruan, Shigui 9 Smith, Frank T. 9 Takeuchi, Yasuhiro 9 Teng, Zhi-dong 9 Trucu, Dumitru 9 Volpert, Vitaly A. 9 Wang, Xia 8 Banerjee, Malay 8 Chattopadhyay, Joydev 8 Das, Krishnapada 8 Li, Xuezhi 8 Liu, Shengqiang 8 Ma, Wanbiao 8 Mandal, Prashanta Kumar 8 Morozov, Andrew Yu. 8 Perthame, Benoît 8 Tewa, Jean-Jules 8 Xiao, Yanni 8 Xu, Rui 8 Zhang, Hong 7 Baker, Ruth Elizabeth 7 Chen, Yuming 7 Cristini, Vittorio 7 Eftimie, Raluca 7 Huang, Gang 7 Manfredi, Piero 7 Olufsen, Mette Sofie 7 Rong, Libin 7 Yu, Jian-She 6 Anand, Mohan 6 Bowong, Samuel 6 Cai, Yongli 6 Dede’, Luca 6 Deutsch, Andreas 6 Friedman, Avner 6 Garcke, Harald 6 Gerisch, Alf 6 Gerlee, Philip 6 Green, J. 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