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zbMATH — the first resource for mathematics

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: 346 Publications (since 2003)
all top 5

Authors

12 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 Korobeinikov, Andrei
6 Whiteley, Jonathan P.
5 Keener, James 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 Bolton, Larisse
3 Bottega, William J.
3 Chen, Lansun
3 Cummings, Linda J.
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 Khader, Karim
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 Anderson, Daniel M.
2 Antoranz, J. C.
2 Arino, Julien
2 Bannish, Brittany E.
2 Basanta, David
2 Begley, Carolyn G.
2 Berezovskaya, Faina Semenovna
2 Bokes, Pavol
2 Britton, Tom
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 d’Onofrio, Alberto
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 Gong, Jiafen
2 Greenhalgh, David
2 Griffith, Boyce E.
2 Holzapfel, Gerhard A.
2 Hove-Musekwa, Senelani Dorothy
2 Humphrey, Jay D.
2 Jarrett, Angela M.
2 Kelbert, Mark Ya.
2 Kim, Minsun
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
2 Pontrelli, Giuseppe
2 Redd, Andrew
2 Rejniak, Katarzyna A.
2 Repetto, Rodolfo
2 Rodríguez-Pérez, Daniel
2 Schoombie, Schalk W.
...and 772 more Authors

Publications by Year

Citations contained in zbMATH Open

215 Publications have been cited 1,923 times in 1,567 Documents Cited by Year
Modelling solid tumour growth using the theory of mixtures. Zbl 1046.92023
Byrne, Helen; Preziosi, Luigi
120
2003
Nonlinear incidence and stability of infectious disease models. Zbl 1076.92048
Korobeinikov, Andrei; Maini, Philip K.
118
2005
A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Zbl 1073.92013
Anderson, Alexander R. A.
100
2005
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.
59
2006
Lyapunov functions and global properties for SEIR and SEIS epidemic models. Zbl 1055.92051
Korobeinikov, Andrei
58
2004
Impact of delays in cell infection and virus production on HIV-1 dynamics. Zbl 1155.92031
Zhu, Huiyan; Zou, Xingfu
54
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.
49
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.
46
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
39
2008
The periodic competing Lotka-Volterra model with impulsive effect. Zbl 1055.92056
Liu, Bing; Chen, Lansun
37
2004
‘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.
37
2012
The role of the biofilm matrix in structural development. Zbl 1055.92034
Cogan, N. G.; Keener, James P.
31
2004
Stability of ecosystem: global properties of a general predator-prey model. Zbl 1178.92053
Korobeinikov, Andrei
27
2009
Fatal SIR diseases and rational exemption to vaccination. Zbl 1154.92031
D’Onofrio, Alberto; Manfredi, Piero; Salinelli, Ernesto
25
2008
Interactions between a uniformly proliferating tumour and its surroundings: Uniform material properties. Zbl 1044.92032
Franks, S. J.; King, J. R.
24
2003
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.
22
2003
Extinction and permanence of a two-prey one-predator system with impulsive effect. Zbl 1046.92051
Zhang, Yujuan; Liu, Bing; Chen, Lansun
21
2003
Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow. Zbl 1211.92030
Leiderman, Karin; Fogelson, Aaron L.
21
2011
A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036
Plank, M. J.; Sleeman, B. D.
20
2003
Modelling drainage of the precorneal tear film after a blink. Zbl 1042.92004
Braun, R. J.; Fitt, A. D.
20
2003
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
Continuum approximations of individual-based models for epithelial monolayers. Zbl 1184.92011
Fozard, J. A.; Byrne, H. M.; Jensen, O. E.; King, J. R.
17
2010
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
A family of models of angiogenesis and anti-angiogenesis anti-cancer therapy. Zbl 1157.92024
d’Onofrio, Alberto; Gandolfi, Alberto
16
2009
Global asymptotic stability for HIV-1 dynamics with two distributed delays. Zbl 1401.92141
Wang, Jinliang; Huang, Gang; Takeuchi, Yasuhiro
16
2012
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
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
Global stability of a population dynamics model with inhibition and negative feedback. Zbl 1318.92044
Vargas-De-León, Cruz; Korobeinikov, Andrei
15
2013
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.
15
2007
Fibrin gel formation in a shear flow. Zbl 1115.92017
Guy, Robert D.; Fogelson, Aaron L.; Keener, James P.
15
2007
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 mathematical model of atherogenesis as an inflammatory response. Zbl 1080.92040
Ibragimov, A. I.; McNeal, C. J.; Ritter, L. R.; Walton, J. R.
14
2005
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
13
2016
Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection. Zbl 1117.92032
Carletti, Margherita
13
2006
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
13
2014
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
12
2011
A multiphase model for tissue construct growth in a perfusion bioreactor. Zbl 1190.92008
O’Dea, R. D.; Waters, S. L.; Byrne, H. M.
12
2010
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
AVM modelling by multi-branching tube flow: Large flow rates and dual solutions. Zbl 1039.92016
Smith, F. T.; Jones, M. A.
11
2003
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
On a cell-growth model for plankton. Zbl 1062.92065
Basse, B.; Wake, G. C.; Wall, D. J. N.; van Brunt, B.
10
2004
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.
9
2004
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
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.
9
2008
Multiphase modelling of cell behaviour on artificial scaffolds: effects of nutrient depletion and spatially nonuniform porosity. Zbl 1118.92024
Lemon, G.; King, J. R.
9
2007
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.
9
2015
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.
8
2014
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.
8
2013
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
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
Seasonally varying epidemics with and without latent period: a comparative simulation study. Zbl 1118.92053
Moneim, I. A.
8
2007
A mathematical model of lipid-mediated thrombin generation. Zbl 1044.92023
Bungay, Sharene D.; Gentry, Patricia A.; Gentry, Rodney D.
7
2003
Modelling drug-eluting stents. Zbl 1211.92032
McGinty, Sean; McKee, Sean; Wadsworth, Roger M.; McCormick, Christopher
7
2011
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
7
2015
A mathematical model for antimalarial drug resistance. Zbl 1228.92042
Tchuenche, Jean M.; Chiyaka, Christinah; Chan, David; Matthews, Amanda; Mayer, Ghislaine
7
2011
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
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
Paradox of enrichment and system order reduction: bacteriophages dynamics as case study. Zbl 1400.92507
Korobeinikov, Andrei; Shchepakina, Elena; Sobolev, Vladimir
7
2016
An analysis of B cell selection mechanisms in germinal centers. Zbl 1098.92041
Meyer-Hermann, Michael E.; Maini, Philip K.; Iber, Dagmar
6
2006
A mathematical model of intestinal oedema formation. Zbl 1304.92073
Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen
6
2014
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 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
Modelling disease spread in dispersal networks at two levels. Zbl 1223.92059
Xiao, Yanni; Zhou, Yicang; Tang, Sanyi
6
2011
Are more complicated tumour control probability models better? Zbl 1318.92029
Gong, Jiafen; Dos Santos, Mairon M.; Finlay, Chris; Hillen, Thomas
6
2013
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.
6
2015
Modelling the compression and reorganization of cell aggregates. Zbl 1328.92016
Giverso, C.; Preziosi, L.
6
2012
Mathematically modelling the spread of hepatitis C in injecting drug users. Zbl 1401.92180
Corson, S.; Greenhalgh, D.; Hutchinson, S.
6
2012
Dynamics of group formation in collective motion of organisms. Zbl 1071.92046
Babak, Petro; Magnússon, Kjartan G.; Sigurdsson, Sven
6
2004
Control of invasive hosts by generalist parasitoids. Zbl 1146.92033
Magal, Christelle; Cosner, Chris; Ruan, Shigui; Casas, Jérôme
6
2008
Calcium release site ultrastructure and the dynamics of puffs and sparks. Zbl 1146.92011
Deremigio, Hilary; Groff, Jeffrey R.; Smith, Gregory D.
6
2008
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
A non-local model for cancer stem cells and the tumour growth paradox. Zbl 1400.92244
Borsi, I.; Fasano, A.; Primicerio, M.; Hillen, T.
6
2017
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
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
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.
6
2015
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
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
Bayesian inference in a hidden stochastic two-compartment model for feline hematopoiesis. Zbl 1098.62145
Golinelli, D.; Guttorp, P.; Abkowitz, J. A.
5
2006
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.
5
2003
A mathematical model for the human menstrual cycle. Zbl 1304.92049
Chen, C. Y.; Ward, J. P.
5
2014
Maximum likelihood estimation of a time-inhomogeneous stochastic differential model of glucose dynamics. Zbl 1161.92018
Picchini, Umberto; Ditlevsen, Susanne; de Gaetano, Andrea
5
2008
On the asymptotic behaviour of the solutions to the replicator equation. Zbl 1216.92049
Karev, Georgy P.; Novozhilov, Artem S.; Berezovskaya, Faina S.
5
2011
Spatial pattern formation in ratio-dependent model: higher-order stability analysis. Zbl 1216.92058
Banerjee, Malay
5
2011
Transcription dynamics of inducible genes modulated by negative regulations. Zbl 1350.92019
Li, Yanyan; Tang, Moxun; Yu, Jianshe
5
2015
Growth of necrotic cores in atherosclerotic plaque. Zbl 1252.92029
Fok, Pak-Wing
5
2012
A 2D constraint mixture model for arterial adaptations to large changes in flow, pressure and axial stretch. Zbl 1080.92024
Gleason, Rudolph L. jun.; Humphrey, Jay D.
5
2005
A computational model of bleb formation. Zbl 1267.92039
Strychalski, Wanda; Guy, Robert D.
5
2013
Global well-posedness of infectious disease models without life-time immunity: the cases of cholera and avian influenza. Zbl 1410.92144
Yamazaki, Kazuo
5
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
5
2017
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.
5
2018
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
An axisymmetric and fully 3D poroelastic model for the evolution of hydrocephalus. Zbl 1117.92017
With, Benedikt; Sobey, Ian
5
2006
A mathematical model of viral oncology as an immuno-oncology instigator. Zbl 1437.92036
Cassidy, Tyler; Humphries, Antony.
2
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
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
Global well-posedness of infectious disease models without life-time immunity: the cases of cholera and avian influenza. Zbl 1410.92144
Yamazaki, Kazuo
5
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.
5
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
Modelling original antigenic sin in dengue viral infection. Zbl 1404.92119
Nikin-Beers, Ryan; Ciupe, Stanca M.
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.
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
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
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
Stability and Hopf bifurcation analysis for the hypothalamic-pituitary-adrenal axis model with memory. Zbl 1404.92063
Kaslik, Eva; Neamtu, Mihaela
1
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
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
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
1
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.
1
2018
A non-local model for cancer stem cells and the tumour growth paradox. Zbl 1400.92244
Borsi, I.; Fasano, A.; Primicerio, M.; Hillen, T.
6
2017
Alzheimer’s disease: a mathematical model for onset and progression. Zbl 1400.92242
Bertsch, Michiel; Franchi, Bruno; Marcello, Norina; Tesi, Maria Carla; Tosin, Andrea
5
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
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
13
2016
Paradox of enrichment and system order reduction: bacteriophages dynamics as case study. Zbl 1400.92507
Korobeinikov, Andrei; Shchepakina, Elena; Sobolev, Vladimir
7
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
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.
2
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
A Green’s function method for simulation of time-dependent solute transport and reaction in realistic microvascular geometries. Zbl 1400.92159
Secomb, Timothy W.
2
2016
Revisiting a two-patch SIS model with infection during transport. Zbl 1343.92458
Arino, Julien; Sun, Chengjun; Yang, Wei
2
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
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
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.
9
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
7
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.
6
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.
6
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
13
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.
8
2014
A mathematical model of intestinal oedema formation. Zbl 1304.92073
Young, Jennifer; Rivière, Béatrice; Cox, Charles S. jun.; Uray, Karen
6
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
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 mathematical model for the human menstrual cycle. Zbl 1304.92049
Chen, C. Y.; Ward, J. P.
5
2014
Deterministic modelling for transmission of human papillomavirus 6/11: impact of vaccination. Zbl 1291.92084
Ribassin-Majed, Laureen; Lounes, Rachid; Clemençon, Stephan
3
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
3
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
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.
8
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.
37
2012
Global asymptotic stability for HIV-1 dynamics with two distributed delays. Zbl 1401.92141
Wang, Jinliang; Huang, Gang; Takeuchi, Yasuhiro
16
2012
Modelling the compression and reorganization of cell aggregates. Zbl 1328.92016
Giverso, C.; Preziosi, L.
6
2012
Mathematically modelling the spread of hepatitis C in injecting drug users. Zbl 1401.92180
Corson, S.; Greenhalgh, D.; Hutchinson, S.
6
2012
Growth of necrotic cores in atherosclerotic plaque. Zbl 1252.92029
Fok, Pak-Wing
5
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.
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
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.
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
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
Aging impact on brain biomechanics with applications to hydrocephalus. Zbl 1328.92021
Wilkie, K. P.; Drapaca, C. S.; Sivaloganathan, 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.
21
2011
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
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
12
2011
Modelling drug-eluting stents. Zbl 1211.92032
McGinty, Sean; McKee, Sean; Wadsworth, Roger M.; McCormick, Christopher
7
2011
A mathematical model for antimalarial drug resistance. Zbl 1228.92042
Tchuenche, Jean M.; Chiyaka, Christinah; Chan, David; Matthews, Amanda; Mayer, Ghislaine
7
2011
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
Modelling disease spread in dispersal networks at two levels. Zbl 1223.92059
Xiao, Yanni; Zhou, Yicang; Tang, Sanyi
6
2011
On the asymptotic behaviour of the solutions to the replicator equation. Zbl 1216.92049
Karev, Georgy P.; Novozhilov, Artem S.; Berezovskaya, Faina S.
5
2011
Spatial pattern formation in ratio-dependent model: higher-order stability analysis. Zbl 1216.92058
Banerjee, Malay
5
2011
Oscillatory pulses in Fitzhugh-Nagumo type systems with cross-diffusion. Zbl 1216.92025
Zemskov, E. P.; Epstein, I. R.; Muntean, A.
4
2011
Travelling waves in a network of SIR epidemic nodes with an approximation of weak coupling. Zbl 1216.92056
Sazonov, Igor; Kelbert, Mark; Gravenor, Michael B.
3
2011
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Cited by 2,864 Authors

25 Byrne, Helen Mary
22 d’Onofrio, Alberto
21 Chaplain, Mark A. J.
18 King, John Robert
15 Korobeinikov, Andrei
15 Wang, Jinliang
15 Waters, Sarah Louise
12 Maini, Philip Kumar
12 Song, Xinyu
12 Whiteley, Jonathan P.
11 Chen, Lansun
11 Fogelson, Aaron L.
11 Liu, Zhijun
11 Lowengrub, John Samuel
11 Simpson, Matthew J.
11 Tang, Sanyi
10 Anderson, Alexander R. A.
10 Braun, Richard J.
10 Buonomo, Bruno
10 Gandolfi, Alberto
10 O’Dea, Reuben D.
10 Vargas-De-León, Cruz
9 Fasano, Antonio
9 Georgescu, Paul
9 Layton, Anita T.
9 Lorenzi, Tommaso
9 Ottesen, Johnny Tom
9 Preziosi, Luigi
9 Ruan, Shigui
9 Smith, Frank T.
9 Surulescu, Christina
9 Volpert, Vitaly A.
9 Wang, Xia
8 Chattopadhyay, Joydev
8 Das, Krishnapada
8 Li, Xuezhi
8 Liu, Shengqiang
8 Ma, Wanbiao
8 Takeuchi, Yasuhiro
8 Teng, Zhi-dong
8 Tewa, Jean-Jules
8 Trucu, Dumitru
8 Xiao, Yanni
8 Xu, Rui
8 Zhang, Hong
7 Banerjee, Malay
7 Cristini, Vittorio
7 Huang, Gang
7 Mandal, Prashanta Kumar
7 Manfredi, Piero
7 Martcheva, Maia
7 Morozov, Andrew Yu.
7 Olufsen, Mette Sofie
7 Perthame, Benoît
7 Yu, Jian-She
6 Bowong, Samuel
6 Cai, Yongli
6 Chen, Yuming
6 Deutsch, Andreas
6 Eftimie, Raluca
6 Elaiw, Ahmed M.
6 Friedman, Avner
6 Gerlee, Philip
6 Hillen, Thomas
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 Pérez-García, Víctor Manuel
6 Quarteroni, Alfio M.
6 Schättler, Heinz Michael
6 van Brunt, Bruce
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 Baker, Ruth Elizabeth
5 Bertuzzi, Alessandro
5 Bratus, Alexander S.
5 Browne, Cameron J.
5 Driscoll, Tobin A.
5 Enatsu, Yoichi
5 Foryś, Urszula
5 Garcke, Harald
5 Gerisch, Alf
5 Grillo, Alfio
5 Gumel, Abba B.
5 Hanin, Leonid G.
5 Hilhorst, Danielle
5 Hussaini, Nafiu
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Cited in 214 Journals

153 Journal of Theoretical Biology
131 Bulletin of Mathematical Biology
97 Mathematical Biosciences
94 Journal of Mathematical Biology
56 Applied Mathematics and Computation
45 Mathematical Biosciences and Engineering
34 Journal of Mathematical Analysis and Applications
31 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
27 Nonlinear Analysis. Real World Applications
27 International Journal of Biomathematics
25 Computers & Mathematics with Applications
25 Discrete and Continuous Dynamical Systems. Series B
24 Mathematical Methods in the Applied Sciences
24 Journal of Biological Dynamics
24 Mathematical Modelling of Natural Phenomena
22 Computational & Mathematical Methods in Medicine
20 Applied Mathematical Modelling
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
19 Abstract and Applied Analysis
18 Journal of Fluid Mechanics
18 Chaos, Solitons and Fractals
18 Journal of Computational and Applied Mathematics
17 SIAM Journal on Applied Mathematics
17 Discrete Dynamics in Nature and Society
16 Mathematical and Computer Modelling
15 Communications in Nonlinear Science and Numerical Simulation
14 Computer Methods in Applied Mechanics and Engineering
14 Journal of Engineering Mathematics
14 Journal of Biological Systems
13 International Journal of Engineering Science
13 Advances in Difference Equations
12 Journal of Computational Physics
12 European Journal of Applied Mathematics
12 Nonlinear Dynamics
10 Differential Equations and Dynamical Systems
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Computational and Applied Mathematics
9 The ANZIAM Journal
9 Journal of Applied Mathematics
9 Journal of Applied Mathematics and Computing
9 Journal of Applied Analysis and Computation
8 Ricerche di Matematica
8 Applied Mathematics Letters
7 Applicable Analysis
7 Mathematical Population Studies
6 Journal of Differential Equations
6 Theoretical Population Biology
6 Physica D
6 Journal of Scientific Computing
6 Chaos
6 Multiscale Modeling & Simulation
5 Biological Cybernetics
5 Biometrics
5 Complexity
5 Discrete and Continuous Dynamical Systems
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Archive for Rational Mechanics and Analysis
4 Computers and Fluids
4 Physica A
4 Journal of Optimization Theory and Applications
4 Mathematics and Computers in Simulation
4 Physics of Fluids
4 SIAM Journal on Applied Dynamical Systems
4 Nonlinear Analysis. Hybrid Systems
4 Discrete and Continuous Dynamical Systems. Series S
4 International Journal of Applied and Computational Mathematics
3 Acta Mechanica
3 Journal of Statistical Physics
3 Scandinavian Journal of Statistics
3 Meccanica
3 Quarterly of Applied Mathematics
3 Computational Mechanics
3 Japan Journal of Industrial and Applied Mathematics
3 International Journal of Computer Mathematics
3 SIAM Journal on Mathematical Analysis
3 Journal of Nonlinear Science
3 SIAM Journal on Scientific Computing
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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Networks and Heterogeneous Media
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 Journal of the Mechanics and Physics of Solids
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Theoretical and Computational Fluid Dynamics
2 International Journal for Numerical Methods in Engineering
2 Proceedings of the American Mathematical Society
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Acta Applicandae Mathematicae
2 Applied Numerical Mathematics
2 Communications in Partial Differential Equations
2 Journal of Elasticity
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Cited in 34 Fields

1,409 Biology and other natural sciences (92-XX)
417 Ordinary differential equations (34-XX)
404 Partial differential equations (35-XX)
169 Numerical analysis (65-XX)
167 Fluid mechanics (76-XX)
133 Dynamical systems and ergodic theory (37-XX)
92 Mechanics of deformable solids (74-XX)
77 Probability theory and stochastic processes (60-XX)
61 Systems theory; control (93-XX)
51 Calculus of variations and optimal control; optimization (49-XX)
38 Statistics (62-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
24 Computer science (68-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Integral equations (45-XX)
13 Classical thermodynamics, heat transfer (80-XX)
11 Difference and functional equations (39-XX)
9 Operations research, mathematical programming (90-XX)
8 Real functions (26-XX)
8 Operator theory (47-XX)
8 Optics, electromagnetic theory (78-XX)
7 Combinatorics (05-XX)
6 General and overarching topics; collections (00-XX)
3 Approximations and expansions (41-XX)
3 Integral transforms, operational calculus (44-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Mathematics education (97-XX)
2 Mechanics of particles and systems (70-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Geophysics (86-XX)

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