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Mathematical Medicine and Biology

A 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

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

Publications by Year

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 1076.92048
Korobeinikov, Andrei; Maini, Philip K.
132
2005
Modelling solid tumour growth using the theory of mixtures. Zbl 1046.92023
Byrne, Helen; Preziosi, Luigi
131
2003
A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Zbl 1073.92013
Anderson, Alexander R. A.
107
2005
Lyapunov functions and global properties for SEIR and SEIS epidemic models. Zbl 1055.92051
Korobeinikov, Andrei
64
2004
Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development. Zbl 1098.92037
Chaplain, M. A. J.; Graziano, L.; Preziosi, L.
62
2006
Impact of delays in cell infection and virus production on HIV-1 dynamics. Zbl 1155.92031
Zhu, Huiyan; Zou, Xingfu
55
2008
Mathematical modelling of the spatio-temporal response of cytotoxic \(T\)-lymphocytes to a solid tumour. Zbl 1061.92038
Matzavinos, Anastasios; Chaplain, Mark A. J.; Kuznetsov, Vladimir A.
52
2004
A multi-species epidemic model with spatial dynamics. Zbl 1076.92045
Arino, 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 1171.92034
Korobeinikov, Andrei
46
2009
Predator-prey model with disease infection in both populations. Zbl 1154.92040
Hsieh, Ying-Hen; Hsiao, Chin-Kuei
44
2008
‘Go or grow’: the key to the emergence of invasion in tumour progression? Zbl 1234.92031
Hatzikirou, H.; Basanta, D.; Simon, M.; Schaller, K.; Deutsch, A.
40
2012
The periodic competing Lotka-Volterra model with impulsive effect. Zbl 1055.92056
Liu, Bing; Chen, Lansun
38
2004
The role of the biofilm matrix in structural development. Zbl 1055.92034
Cogan, N. G.; Keener, James P.
33
2004
Stability of ecosystem: global properties of a general predator-prey model. Zbl 1178.92053
Korobeinikov, Andrei
27
2009
Interactions between a uniformly proliferating tumour and its surroundings: Uniform material properties. Zbl 1044.92032
Franks, S. J.; King, J. R.
27
2003
Fatal SIR diseases and rational exemption to vaccination. Zbl 1154.92031
D’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 1211.92030
Leiderman, Karin; Fogelson, Aaron L.
25
2011
Mathematical modelling of comedo ductal carcinoma in situ of the breast. Zbl 1039.92021
Franks, 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 1046.92051
Zhang, Yujuan; Liu, Bing; Chen, Lansun
22
2003
Modelling drainage of the precorneal tear film after a blink. Zbl 1042.92004
Braun, R. J.; Fitt, A. D.
21
2003
A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036
Plank, M. J.; Sleeman, B. D.
21
2003
Continuum approximations of individual-based models for epithelial monolayers. Zbl 1184.92011
Fozard, J. A.; Byrne, H. M.; Jensen, O. E.; King, J. R.
20
2010
Multistrain virus dynamics with mutations: a global analysis. Zbl 1162.92021
de Leenheer, Patrick; Pilyugin, Sergei S.
20
2008
When a predator avoids infected prey: a model-based theoretical study. Zbl 1184.92052
Haque, Mainul; Greenhalgh, David
19
2010
Global asymptotic stability for HIV-1 dynamics with two distributed delays. Zbl 1401.92141
Wang, Jinliang; Huang, Gang; Takeuchi, Yasuhiro
19
2012
Fibrin gel formation in a shear flow. Zbl 1115.92017
Guy, Robert D.; Fogelson, Aaron L.; Keener, James P.
16
2007
A family of models of angiogenesis and anti-angiogenesis anti-cancer therapy. Zbl 1157.92024
d’Onofrio, Alberto; Gandolfi, Alberto
16
2009
Effective equations for anisotropic glioma spread with proliferation: a multiscale approach and comparisons with previous settings. Zbl 1400.92249
Engwer, Christian; Hunt, Alexander; Surulescu, Christina
16
2016
Single-equation models for the tear film in a blink cycle: Realistic lid motion. Zbl 1146.92012
Heryudono, 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 1304.92054
Ruiz-Baier, Ricardo; Gizzi, Alessio; Rossi, Simone; Cherubini, Christian; Laadhari, Aymen; Filippi, Simonetta; Quarteroni, Alfio
16
2014
Dynamics of tear film deposition and draining. Zbl 1091.92025
Jones, 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 1111.92057
Iskin 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 1098.92058
Moghadas, Seyed M.; Alexander, Murray E.
15
2006
Global stability of a population dynamics model with inhibition and negative feedback. Zbl 1318.92044
Vargas-De-León, Cruz; Korobeinikov, Andrei
15
2013
Qualitative assessment of the role of public health education program on HIV transmission dynamics. Zbl 1223.92055
Hussaini, N.; Winter, M.; Gumel, A. B.
15
2011
A mathematical model of atherogenesis as an inflammatory response. Zbl 1080.92040
Ibragimov, 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 1117.92032
Carletti, Margherita
14
2006
Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. Zbl 1071.92015
Fogelson, Aaron L.; Guy, Robert D.
14
2004
A multiphase model for tissue construct growth in a perfusion bioreactor. Zbl 1190.92008
O’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 1216.92066
Morozov, Andrew; Arashkevich, Elena; Nikishina, Anastasia; Solovyev, Konstantin
13
2011
Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment. Zbl 1190.92015
Ledzewicz, Urszula; Marriott, John; Maurer, Helmut; Schättler, Heinz
12
2010
A model for wetting and evaporation of a post-blink precorneal tear film. Zbl 1196.92005
Winter, 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 1325.92049
Pérez-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 1325.92061
O’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 1039.92016
Smith, F. T.; Jones, M. A.
11
2003
On a cell-growth model for plankton. Zbl 1062.92065
Basse, 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 1118.92053
Moneim, I. A.
10
2007
Multiphase modelling of cell behaviour on artificial scaffolds: effects of nutrient depletion and spatially nonuniform porosity. Zbl 1118.92024
Lemon, G.; King, J. R.
10
2007
Cell-signalling repression in bacterial quorum sensing. Zbl 1055.92017
Ward, 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 1400.92242
Bertsch, 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 1146.92008
Bairagi, N.; Chatterjee, Samrat; Chattopadhyay, J.
10
2008
Patient-specific modelling of head-up tilt. Zbl 1307.92140
Williams, Nakeya D.; Wind-Willassen, Øistein; Wright, Andrew A.; Mehlsen, Jesper; Ottesen, Johnny T.; Olufsen, Mette S.
9
2014
Biphasic behaviour in malignant invasion. Zbl 1098.92040
Marchant, Ben P.; Norbury, John; Byrne, Helen M.
9
2006
An overset grid method for the study of reflex tearing. Zbl 1154.92014
Maki, K. L.; Braun, R. J.; Driscoll, T. A.; King-Smith, P. E.
9
2008
Control of invasive hosts by generalist parasitoids. Zbl 1146.92033
Magal, Christelle; Cosner, Chris; Ruan, Shigui; Casas, Jérôme
9
2008
A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor. Zbl 1318.92013
Shakeel, 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 1329.92046
McGinty, Sean; McKee, Sean; McCormick, Christopher; Wheel, Marcus
8
2015
A mathematical model for antimalarial drug resistance. Zbl 1228.92042
Tchuenche, Jean M.; Chiyaka, Christinah; Chan, David; Matthews, Amanda; Mayer, Ghislaine
8
2011
Estimating the number of prions in yeast cells. Zbl 1071.92012
Cole, 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 1400.92244
Borsi, I.; Fasano, A.; Primicerio, M.; Hillen, T.
8
2017
Modelling disease spread in dispersal networks at two levels. Zbl 1223.92059
Xiao, Yanni; Zhou, Yicang; Tang, Sanyi
8
2011
Tear film dynamics on an eye-shaped domain. I: Pressure boundary conditions. Zbl 1196.92004
Maki, 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 1196.92006
Chauviere, A.; Preziosi, L.; Byrne, H.
8
2010
Effect of tubular inhomogeneities on feedback-mediated dynamics of a model of a thick ascending limb. Zbl 1272.92007
Ryu, Hwayeon; Layton, Anita T.
8
2013
Modelling drug-eluting stents. Zbl 1211.92032
McGinty, Sean; McKee, Sean; Wadsworth, Roger M.; McCormick, Christopher
8
2011
A proposed fractional-order Gompertz model and its application to tumour growth data. Zbl 1350.92023
Bolton, 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 1325.92048
Martínez-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 1171.92013
Richardson, G.
7
2009
A mathematical model of lipid-mediated thrombin generation. Zbl 1044.92023
Bungay, Sharene D.; Gentry, Patricia A.; Gentry, Rodney D.
7
2003
Modelling original antigenic sin in dengue viral infection. Zbl 1404.92119
Nikin-Beers, Ryan; Ciupe, Stanca M.
7
2018
Paradox of enrichment and system order reduction: bacteriophages dynamics as case study. Zbl 1400.92507
Korobeinikov, Andrei; Shchepakina, Elena; Sobolev, Vladimir
7
2016
Assessment of cancer immunotherapy outcome in terms of the immune response time features. Zbl 1148.92022
Rodríguez-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 1146.92014
Pop, S. R.; Richardson, G.; Waters, S. L.; Jensen, O. E.
7
2007
Modelling the compression and reorganization of cell aggregates. Zbl 1328.92016
Giverso, C.; Preziosi, L.
7
2012
Within-host population dynamics of antibiotic-resistant M. tuberculosis. Zbl 1118.92033
Alavez-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 1098.92041
Meyer-Hermann, Michael E.; Maini, Philip K.; Iber, Dagmar
6
2006
Tissue growth in a rotating bioreactor. I: Mechanical stability. Zbl 1117.92020
Waters, 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 1178.92013
Danforth, 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 1069.92002
Oliver, 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 1071.92046
Babak, Petro; Magnússon, Kjartan G.; Sigurdsson, Sven
6
2004
On tear film breakup (TBU): dynamics and imaging. Zbl 1404.92069
Braun, 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 1148.92029
Chatterjee, Samrat; Kundu, Kusumika; Chattopadhyay, J.
6
2007
Calcium release site ultrastructure and the dynamics of puffs and sparks. Zbl 1146.92011
Deremigio, Hilary; Groff, Jeffrey R.; Smith, Gregory D.
6
2008
Are more complicated tumour control probability models better? Zbl 1318.92029
Gong, 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 1410.92144
Yamazaki, Kazuo
6
2018
Modelling host tissue degradation by extracellular bacterial pathogens. Zbl 1042.92015
King, 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 1304.92071
Pandiyan, Balamurugan; Merrill, Stephen J.; Benvenga, Salvatore
6
2014
A mathematical model of intestinal oedema formation. Zbl 1304.92073
Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen
6
2014
A mathematical model for the human menstrual cycle. Zbl 1304.92049
Chen, C. Y.; Ward, J. P.
6
2014
Dynamics of population communities with prey migrations and Allee effects: a bifurcation approach. Zbl 1216.92059
Berezovskaya, Faina; Wirkus, S.; Song, B.; Castillo-Chavez, C.
6
2011
Growth of necrotic cores in atherosclerotic plaque. Zbl 1252.92029
Fok, Pak-Wing
6
2012
Mathematically modelling the spread of hepatitis C in injecting drug users. Zbl 1401.92180
Corson, S.; Greenhalgh, D.; Hutchinson, S.
6
2012
Deterministic modelling for transmission of human papillomavirus 6/11: impact of vaccination. Zbl 1291.92084
Ribassin-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 1345.92095
Pearson, Natalie C.; Shipley, Rebecca J.; Waters, Sarah L.; Oliver, James M.
5
2014
Transcription dynamics of inducible genes modulated by negative regulations. Zbl 1350.92019
Li, 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 1325.92020
Kuznetsov, I. A.; Kuznetsov, A. V.
5
2015
Disease emergence in multi-host epidemic models. Zbl 1115.92050
McCormack, Robert K.; Allen, Linda J. S.
5
2007
Bayesian inference in a hidden stochastic two-compartment model for feline hematopoiesis. Zbl 1098.62145
Golinelli, D.; Guttorp, P.; Abkowitz, J. A.
5
2006
An axisymmetric and fully 3D poroelastic model for the evolution of hydrocephalus. Zbl 1117.92017
With, Benedikt; Sobey, Ian
5
2006
Population dynamics of HTLV-I infection: A discrete-time mathematical epidemic model approach. Zbl 1042.92029
Eshima, 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 1467.92219
Mo Yang, Hyun; Pedro Lombardi Junior, Luis; Campos Yang, Ariana
1
2021
A mathematical model of viral oncology as an immuno-oncology instigator. Zbl 1437.92036
Cassidy, Tyler; Humphries, Antony.
2
2020
Optimal control with MANF treatment of photoreceptor degeneration. Zbl 1437.92035
Camacho, 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 1437.92042
Shipley, 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 1457.92047
Wilkie, Kathleen P.; Aktar, Farjana
1
2020
Optimal vaccine allocation during the mumps outbreak in two SIR centres. Zbl 1453.92185
Chernov, 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 1453.92342
da S. Costa, Michel Iskin; Dos Anjos, Lucas
1
2020
Mathematical modelling of glob-driven tear film breakup. Zbl 1418.92035
Zhong, 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 1418.92007
Heyden, S.; Ortiz, M.
2
2019
Modelling original antigenic sin in dengue viral infection. Zbl 1404.92119
Nikin-Beers, Ryan; Ciupe, Stanca M.
7
2018
On tear film breakup (TBU): dynamics and imaging. Zbl 1404.92069
Braun, 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 1410.92144
Yamazaki, Kazuo
6
2018
A discrete in continuous mathematical model of cardiac progenitor cells formation and growth as spheroid clusters (cardiospheres). Zbl 1404.92026
Di 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 1410.92032
Battista, 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 1404.92095
Eymard, 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 1404.92063
Kaslik, Eva; Neamtu, Mihaela
2
2018
Pathogen transfer through environment-host contact: an agent-based queueing theoretic framework. Zbl 1404.92175
Chen, 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 1404.92023
Nestor-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 1410.92030
Bitsouni, 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 1404.92122
Young, Todd R.; Boczko, Erik M.
1
2018
Pattern formation in multiphase models of chemotactic cell aggregation. Zbl 1404.92035
Green, 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 1404.92075
Tweedy, 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 1404.92093
Dobreva, 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 1410.92038
Mohseni-Salehi, Fazeleh S.; Zare-Mirakabad, Fatemeh; Ghafouri-Fard, Soudeh; Sadeghi, Mehdi
1
2018
Alzheimer’s disease: a mathematical model for onset and progression. Zbl 1400.92242
Bertsch, 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 1400.92244
Borsi, I.; Fasano, A.; Primicerio, M.; Hillen, T.
8
2017
Spatial modelling of tumour drug resistance: the case of GIST liver metastases. Zbl 1400.92268
Lefebvre, Guillaume; Cornelis, François; Cumsille, Patricio; Colin, Thierry; Poignard, Clair; Saut, Olivier
3
2017
Iontophoretic transdermal drug delivery: a multi-layered approach. Zbl 1400.92281
Pontrelli, Giuseppe; Lauricella, Marco; Ferreira, José A.; Pena, Gonçalo
3
2017
A biochemical and mechanical model of injury-induced intimal thickening. Zbl 1400.92135
Fok, 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 1400.92267
Kuznetsov, 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 1400.92252
Frascoli, Federico; Flood, Emelie; Kim, Peter S.
2
2017
Mass drug administration: the importance of synchrony. Zbl 1400.92253
Gao, Daozhou; Lietman, Thomas M.; Dong, Chao-Ping; Porco, Travis C.
2
2017
Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034
Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain
1
2017
Mathematical modelling of cardiovascular response to the valsalva manoeuvre. Zbl 1400.92282
Pstras, Leszek; Thomaseth, Karl; Waniewski, Jacek; Balzani, Italo; Bellavere, Federico
1
2017
Dynamical properties and thresholds of an HIV model with super-infection. Zbl 1400.92524
Malunguza, 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 1400.92249
Engwer, Christian; Hunt, Alexander; Surulescu, Christina
16
2016
Paradox of enrichment and system order reduction: bacteriophages dynamics as case study. Zbl 1400.92507
Korobeinikov, Andrei; Shchepakina, Elena; Sobolev, Vladimir
7
2016
Revisiting a two-patch SIS model with infection during transport. Zbl 1343.92458
Arino, 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 1400.92245
Bunimovich-Mendrazitsky, Svetlana; Halachmi, Sarel; Kronik, Natalie
4
2016
Extreme protraction for low-grade gliomas: theoretical proof of concept of a novel therapeutical strategy. Zbl 1400.92279
Pérez-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 1400.92159
Secomb, Timothy W.
4
2016
Computed tear film and osmolarity dynamics on an eye-shaped domain. Zbl 1400.92157
Li, 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 1400.92285
Saberian, Fatemeh; Ghate, Archis; Kim, Minsun
3
2016
A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity. Zbl 1400.92071
Clarelli, 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 1400.92259
Hanin, Leonid; Rose, Jason
2
2016
Numerical resolution of a model of tumour growth. Zbl 1343.92238
Muñoz, Ana I.
1
2016
Conduction of feedback-mediated signal in a computational model of coupled nephrons. Zbl 1343.92187
Sgouralis, Ioannis; Layton, Anita T.
1
2016
Aggregation and asymptotic analysis of an SI-epidemic model for heterogeneous populations. Zbl 1400.92546
Veliov, V. M.; Widder, A.
1
2016
A coupled non-Fickian model of a cardiovascular drug delivery system. Zbl 1400.92250
Ferreira, J. A.; Naghipoor, J.; de Oliveira, Paula
1
2016
On the influence of an equatorial cerclage on closure of posterior retinal detachment. Zbl 1400.92254
Ge, 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 1325.92049
Pérez-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 1325.92061
O’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 1329.92046
McGinty, Sean; McKee, Sean; McCormick, Christopher; Wheel, Marcus
8
2015
A proposed fractional-order Gompertz model and its application to tumour growth data. Zbl 1350.92023
Bolton, 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 1325.92048
Martínez-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 1350.92019
Li, 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 1325.92020
Kuznetsov, I. A.; Kuznetsov, A. V.
5
2015
A new relation between prevalence and incidence of a chronic disease. Zbl 1337.92100
Brinks, Ralph; Landwehr, Sandra
4
2015
Contact tracing and antiviral prophylaxis in the early stages of a pandemic: the probability of a major outbreak. Zbl 1325.92082
Ross, Joshua V.; Black, Andrew J.
4
2015
Modelling the interaction between the host immune response, bacterial dynamics and inflammatory damage in comparison with immunomodulation and vaccination experiments. Zbl 1325.92053
Jarrett, Angela M.; Cogan, N. G.; Shirtliff, M. E.
3
2015
An analysis of the mechanical behaviour of a detaching retina. Zbl 1351.92007
Lakawicz, Joseph M.; Bottega, William J.; Prenner, Jonathan L.; Fine, Howard F.
2
2015
Combination versus sequential monotherapy in chronic HBV infection: a mathematical approach. Zbl 1337.92202
Bertacchi, Daniela; Zucca, Fabio; Foresti, Sergio; Mangioni, Davide; Gori, Andrea
1
2015
Mathematical modelling of active contraction in isolated cardiomyocytes. Zbl 1304.92054
Ruiz-Baier, Ricardo; Gizzi, Alessio; Rossi, Simone; Cherubini, Christian; Laadhari, Aymen; Filippi, Simonetta; Quarteroni, Alfio
16
2014
Patient-specific modelling of head-up tilt. Zbl 1307.92140
Williams, Nakeya D.; Wind-Willassen, Øistein; Wright, Andrew A.; Mehlsen, Jesper; Ottesen, Johnny T.; Olufsen, Mette S.
9
2014
A patient-specific model of the negative-feedback control of the hypothalamus-pituitary-thyroid (HPT) axis in autoimmune (Hashimoto’s) thyroiditis. Zbl 1304.92071
Pandiyan, Balamurugan; Merrill, Stephen J.; Benvenga, Salvatore
6
2014
A mathematical model of intestinal oedema formation. Zbl 1304.92073
Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen
6
2014
A mathematical model for the human menstrual cycle. Zbl 1304.92049
Chen, C. Y.; Ward, J. P.
6
2014
Deterministic modelling for transmission of human papillomavirus 6/11: impact of vaccination. Zbl 1291.92084
Ribassin-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 1345.92095
Pearson, Natalie C.; Shipley, Rebecca J.; Waters, Sarah L.; Oliver, James M.
5
2014
A model for the spatial transmission of dengue with daily movement between villages and a city. Zbl 1291.92101
Nevai, Andrew L.; Soewono, Edy
4
2014
Mathematical modelling of Pseudomonas aeruginosa biofilm growth and treatment in the cystic fibrosis lung. Zbl 1291.92071
Miller, J. K.; Brantner, Justin S.; Clemons, Curtis; Kreider, K. L.; Milsted, Amy; Wilber, Pat; Yun, Yang H.; Youngs, Wiley J.; Young, Gerald; Badawy, Hope T.; Wagers, Patrick O.
2
2014
Bifurcation analysis of an existing mathematical model reveals novel treatment strategies and suggests potential cure for type 1 diabetes. Zbl 1305.92041
Nielsen, Kenneth H. M.; Pociot, Flemming M.; Ottesen, Johnny T.
1
2014
Impulsive spatial control of invading pests by generalist predators. Zbl 1320.92067
Aniţa, Sebastian; Casas, Jérôme; Suppo, Christelle
1
2014
Mathematical modelling of chronic acetaminophen metabolism and liver injury. Zbl 1305.92042
Remien, Christopher H.; Sussman, Norman L.; Adler, Frederick R.
1
2014
Global stability of a population dynamics model with inhibition and negative feedback. Zbl 1318.92044
Vargas-De-León, Cruz; Korobeinikov, Andrei
15
2013
A continuum model of cell proliferation and nutrient transport in a perfusion bioreactor. Zbl 1318.92013
Shakeel, Muhammad; Matthews, Paul C.; Graham, Richard S.; Waters, Sarah L.
9
2013
Effect of tubular inhomogeneities on feedback-mediated dynamics of a model of a thick ascending limb. Zbl 1272.92007
Ryu, Hwayeon; Layton, Anita T.
8
2013
Are more complicated tumour control probability models better? Zbl 1318.92029
Gong, Jiafen; Dos Santos, Mairon M.; Finlay, Chris; Hillen, Thomas
6
2013
A computational model of bleb formation. Zbl 1267.92039
Strychalski, Wanda; Guy, Robert D.
5
2013
Mathematical modelling of cytokine-mediated inflammation in rheumatoid arthritis. Zbl 1278.92015
Baker, Michelle; Denman-Johnson, Sarah; Brook, Bindi S.; Gaywood, Ian; Owen, Markus R.
5
2013
Multiple travelling-wave solutions in a minimal model for cell motility. Zbl 1272.92005
Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; King, J. R.; Oliver, J. M.
4
2013
On the mechanics of a detaching retina. Zbl 1278.92008
Bottega, William J.; Bishay, Peter L.; Prenner, Jonathan L.; Fine, Howard F.
2
2013
Ecoepidemics overcoming the species barrier and being subject to harvesting. Zbl 1402.92385
Chaudhuri, S.; Costamagna, A.; Venturino, E.
1
2013
The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling. Zbl 1402.92056
O’Dea, R. D.; King, J. R.
1
2013
Minimizing the passive release of heparin-binding growth factors from an affinity-based delivery system. Zbl 1278.92023
Vo, Tuoi T. N.; Meere, Martin G.
1
2013
‘Go or grow’: the key to the emergence of invasion in tumour progression? Zbl 1234.92031
Hatzikirou, H.; Basanta, D.; Simon, M.; Schaller, K.; Deutsch, A.
40
2012
Global asymptotic stability for HIV-1 dynamics with two distributed delays. Zbl 1401.92141
Wang, Jinliang; Huang, Gang; Takeuchi, Yasuhiro
19
2012
Modelling the compression and reorganization of cell aggregates. Zbl 1328.92016
Giverso, C.; Preziosi, L.
7
2012
Growth of necrotic cores in atherosclerotic plaque. Zbl 1252.92029
Fok, Pak-Wing
6
2012
Mathematically modelling the spread of hepatitis C in injecting drug users. Zbl 1401.92180
Corson, 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 1252.92019
Shipley, 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 1234.92030
Gu, 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 1234.92027
Enderling, Heiko; Hlatky, Lynn; Hahnfeldt, Philip
3
2012
Computational models of VEGF-associated angiogenic processes in cancer. Zbl 1234.92037
Stefanini, Marianne O.; Qutub, Amina A.; Gabhann, Feilim Mac; Popel, Aleksander S.
2
2012
Aging impact on brain biomechanics with applications to hydrocephalus. Zbl 1328.92021
Wilkie, K. P.; Drapaca, C. S.; Sivaloganathan, S.
2
2012
Spontaneous oscillations in a model for active control of microvessel diameters. Zbl 1241.92008
Arciero, J. C.; Secomb, T. W.
2
2012
Mathematical modelling the age dependence of Epstein-Barr virus associated infectious mononucleosis. Zbl 1401.92183
Huynh, 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 1234.92039
Wang, Zhihui; Bordas, Veronika; Sagotsky, Jonathan; Deisboeck, Thomas S.
1
2012
Peristaltic transport and mixing of cytosol through the whole body of Physarum plasmodium. Zbl 1401.92052
Iima, Makoto; Nakagaki, Toshiyuki
1
2012
Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow. Zbl 1211.92030
Leiderman, Karin; Fogelson, Aaron L.
25
2011
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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. Edward F.
6 Grillo, Alfio
6 Hillen, Thomas
6 Ibargüen Mondragón, Eduardo
6 Jin, Zhen
6 Kang, Yun
6 King-Smith, P. Ewen
6 Landman, Kerry A.
6 Ledzewicz, Urszula
6 Li, Jianquan
6 Malinzi, Joseph
6 Marinoschi, Gabriela
6 Meng, Xinzhu
6 Nakata, Yukihiko
6 Oden, John Tinsley
6 Pérez-García, Víctor Manuel
6 Schättler, Heinz Michael
6 Wang, Weiming
6 Webb, Glenn Francis
6 Yang, Yali
6 Yang, Yu
6 Yu, Pei
5 Allen, Linda J. S.
5 Ambrosi, Davide
5 Avila-Vales, Eric Jose
5 Bertuzzi, Alessandro
5 Bratus, Alexander S.
5 Browne, Cameron J.
5 Driscoll, Tobin A.
5 Enatsu, Yoichi
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Cited in 229 Journals

166 Journal of Theoretical Biology
132 Bulletin of Mathematical Biology
103 Mathematical Biosciences
101 Journal of Mathematical Biology
58 Applied Mathematics and Computation
47 Mathematical Biosciences and Engineering
37 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
35 Journal of Mathematical Analysis and Applications
30 International Journal of Biomathematics
28 Nonlinear Analysis. Real World Applications
27 Journal of Biological Dynamics
26 Discrete and Continuous Dynamical Systems. Series B
25 Computers & Mathematics with Applications
25 Chaos, Solitons and Fractals
25 Mathematical Modelling of Natural Phenomena
24 Mathematical Methods in the Applied Sciences
23 Applied Mathematical Modelling
22 Computational & Mathematical Methods in Medicine
20 SIAM Journal on Applied Mathematics
19 Journal of Fluid Mechanics
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
19 Abstract and Applied Analysis
18 Journal of Computational Physics
18 Journal of Computational and Applied Mathematics
18 Communications in Nonlinear Science and Numerical Simulation
17 Discrete Dynamics in Nature and Society
16 Computer Methods in Applied Mechanics and Engineering
16 Mathematical and Computer Modelling
15 Journal of Biological Systems
15 Advances in Difference Equations
14 Journal of Engineering Mathematics
13 International Journal of Engineering Science
13 European Journal of Applied Mathematics
12 Nonlinear Dynamics
12 Journal of Applied Mathematics and Computing
10 Applicable Analysis
10 Computational and Applied Mathematics
10 Differential Equations and Dynamical Systems
10 Journal of Applied Analysis and Computation
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Applied Mathematics Letters
9 The ANZIAM Journal
9 Journal of Applied Mathematics
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Physica A
8 Ricerche di Matematica
8 Physica D
7 Journal of Differential Equations
7 Theoretical Population Biology
7 Mathematical Population Studies
7 International Journal of Applied and Computational Mathematics
6 Mathematics and Computers in Simulation
6 Journal of Scientific Computing
6 Chaos
6 Multiscale Modeling & Simulation
6 Discrete and Continuous Dynamical Systems. Series S
5 Biological Cybernetics
5 Biometrics
5 Complexity
5 Discrete and Continuous Dynamical Systems
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Archive for Rational Mechanics and Analysis
4 Computers and Fluids
4 Journal of Optimization Theory and Applications
4 SIAM Journal on Scientific Computing
4 Physics of Fluids
4 SIAM Journal on Applied Dynamical Systems
4 Networks and Heterogeneous Media
4 Nonlinear Analysis. Hybrid Systems
3 Acta Mechanica
3 Journal of the Mechanics and Physics of Solids
3 Journal of Statistical Physics
3 Scandinavian Journal of Statistics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Meccanica
3 Quarterly of Applied Mathematics
3 Computational Mechanics
3 Japan Journal of Industrial and Applied Mathematics
3 Communications in Partial Differential Equations
3 International Journal of Computer Mathematics
3 Journal of Elasticity
3 SIAM Journal on Mathematical Analysis
3 Journal of Nonlinear Science
3 Journal of Mathematical Chemistry
3 Mathematical and Computer Modelling of Dynamical Systems
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Nonlinear Analysis. Modelling and Control
3 Archives of Computational Methods in Engineering
3 Journal of Systems Science and Complexity
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 International Journal of Differential Equations
2 International Journal of Control
2 International Journal for Numerical Methods in Fluids
2 Journal of the Franklin Institute
2 Journal of Mathematical Physics
2 Physics Reports
2 Theoretical and Computational Fluid Dynamics
2 Applied Mathematics and Optimization
2 Automatica
2 International Journal for Numerical Methods in Engineering
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Cited in 38 Fields

1,530 Biology and other natural sciences (92-XX)
455 Ordinary differential equations (34-XX)
451 Partial differential equations (35-XX)
193 Numerical analysis (65-XX)
182 Fluid mechanics (76-XX)
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101 Mechanics of deformable solids (74-XX)
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63 Systems theory; control (93-XX)
58 Calculus of variations and optimal control; optimization (49-XX)
42 Statistics (62-XX)
36 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
27 Computer science (68-XX)
24 Statistical mechanics, structure of matter (82-XX)
15 Integral equations (45-XX)
13 Classical thermodynamics, heat transfer (80-XX)
11 Difference and functional equations (39-XX)
10 Real functions (26-XX)
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9 Operations research, mathematical programming (90-XX)
8 Optics, electromagnetic theory (78-XX)
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3 Global analysis, analysis on manifolds (58-XX)
3 Mathematics education (97-XX)
2 Mechanics of particles and systems (70-XX)
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1 Geophysics (86-XX)

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