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Sleeman, Brian David

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Author ID: sleeman.brian-d Recent zbMATH articles by "Sleeman, Brian David"
Published as: Sleeman, B. D.; Sleeman, Brian D.; Sleeman, Brian
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Documents Indexed: 200 Publications since 1966, including 4 Books
10 Contributions as Editor
Reviewing Activity: 124 Reviews
Biographic References: 1 Publication
Co-Authors: 88 Co-Authors with 151 Joint Publications
1,933 Co-Co-Authors
all top 5

Co-Authors

50 single-authored
20 Browne, Patrick J.
11 Levine, Howard Allen
9 Chen, Hua
7 Källström, A.
6 Grindrod, Peter
6 Jarvis, R. J.
6 Plank, Michael J.
5 Harlen, Oliver G.
5 Mitchell, Andrew Ronald
5 Nilsen-Hamilton, Marit
4 Chaplain, Mark A. J.
4 Everitt, William Norrie
4 Hargrave, B. A.
4 Holmes, Mark J.
4 Jones, Pamela F.
4 Lu, Gang
4 Povey, M. J. W.
4 Takase, Hiroshi
4 Tuma, Elías
3 Colton, David Lem
3 Crawford, John W.
3 Davidson, Fordyce A.
3 Guo, Ben-Yu
3 Hua, Chen
3 Jones, Douglas Samuel
3 Pamuk, Serdal
2 Anderson, Alexander R. A.
2 Arscott, F. M.
2 Binding, Paul Anthony
2 Dassios, George
2 Lakshtanov, Evgeny L.
2 Merkin, John H.
2 Ockendon, John R.
2 Pinfield, Valerie J.
2 Qiu, Yiqi
2 Rayner, A. D. M.
2 Ritz, Karl
2 Rod, David L.
2 Rynne, Bryan P.
2 Zayed, Elsayed M. E.
2 Zhao, Xiao-Qiang
1 Ben-Yu, G.
1 Bieniasz, Lesław K.
1 Brindley, John
1 Burn, David S.
1 Chaplan, M. A. J.
1 Chen, Suiyang
1 Chopra, G. C.
1 Churchill, Richard C.
1 Evans, C. J.
1 Giles, Susan M.
1 Green, Milton W.
1 Griffiths, David F.
1 Holden, Arun V.
1 Johansson, B. Tomas
1 Kariotou, Foteini
1 Klebanov, Boris S.
1 Knapp, D. G.
1 Liang, Zhaojun
1 Liu, Shizo
1 Loadman, P. M.
1 Manoranjan, Valipuram S.
1 McKee, Sean
1 Michael, I. M.
1 Murray, B. A.
1 Nakamura, Gen
1 Needham, David John
1 Nimmo, H. R.
1 Ockendon, Hilary
1 Phillips, R. M.
1 Povey, Malcolm
1 Regalado, Carlos M.
1 Smye, S. W.
1 Stocks, D. C.
1 Tew, Richard H.
1 Tian, Jinghuang
1 Tsampas, Michalis N.
1 Twelves, C. J.
1 Vaĭnberg, Boris Rufimovich
1 Wallis, I. P.
1 Wang, Haibing
1 Ward, Michael J.
1 Wei, Juncheng
1 Weian, Liu
1 Whitt, Ward
1 Wright, Gordon P.
1 Yin, Yang
1 Yu, Guo Ben
all top 5

Serials

15 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
11 Journal of Mathematical Analysis and Applications
10 Journal of Mathematical Biology
9 IMA Journal of Applied Mathematics
7 Proceedings of the Edinburgh Mathematical Society. Series II
6 Journal of the Institute of Mathematics and its Applications
6 IMA Journal of Mathematics Applied in Medicine and Biology
6 SIAM Journal on Applied Mathematics
6 Lecture Notes in Mathematics
5 Inverse Problems
4 Applicable Analysis
4 Quarterly Journal of Mechanics and Applied Mathematics
4 Bulletin of Mathematical Biology
4 Journal of Theoretical Medicine
4 Proceedings of the Cambridge Philosophical Society
3 Mathematical Methods in the Applied Sciences
3 Journal of Computational and Applied Mathematics
3 Journal of Differential Equations
3 The Quarterly Journal of Mathematics. Oxford Second Series
3 Bulletin. The Institute of Mathematics and its Applications
2 Mathematical Biosciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Glasgow Mathematical Journal
2 Quaestiones Mathematicae
2 Acta Mathematicae Applicatae Sinica. English Series
2 Mathematical and Computer Modelling
2 European Journal of Applied Mathematics
2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
2 SIAM Journal on Mathematical Analysis
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Inverse Problems and Imaging
2 Journal of Theoretical Biology
1 Communications in Mathematical Physics
1 IMA Journal of Numerical Analysis
1 Journal of Computational Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Arkiv för Matematik
1 Acta Mathematica Sinica
1 Journal of the London Mathematical Society. Second Series
1 Mathematics of Operations Research
1 Mathematika
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Rendiconti del Seminario Matematico
1 SIAM Journal on Scientific and Statistical Computing
1 Chinese Annals of Mathematics. Series B
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Science in China. Series A
1 Differential and Integral Equations
1 Buletinul Institutului Politehnic din Iași. Secția I
1 Nieuw Archief voor Wiskunde. Derde Serie
1 Acta Mathematica Sinica. New Series
1 Computers and Mathematics with Applications. Part B
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Mathematics Today (Southend-on-Sea)
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Mathematical Medicine and Biology
1 Journal of the London Mathematical Society
1 Journal of Physics A: Mathematical and Theoretical
1 Chapman & Hall/CRC Mathematical and Computational Biology Series

Publications by Year

Citations contained in zbMATH Open

136 Publications have been cited 1,358 times in 1,002 Documents Cited by Year
Some useful functions for functional limit theorems. Zbl 0428.60010
Whitt, Ward; Sleeman, B. D.
131
1980
A system of reaction diffusion equations arising in the theory of reinforced random walks. Zbl 0874.35047
Levine, Howard A.; Sleeman, Brian D.
96
1997
Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Zbl 1323.92029
Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit
64
2001
Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007
Browne, Patrick J.; Sleeman, B. D.
62
1996
A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis. Zbl 0986.92016
Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit
56
2000
Mathematical modeling of the onset of capillary formation initiating angiogenesis. Zbl 0977.92013
Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit
51
2001
The interior transmission problem and inverse scattering from inhomogeneous media. Zbl 0733.76065
Rynne, B. P.; Sleeman, B. D.
50
1991
Multiparameter spectral theory in Hilbert space. Zbl 0396.47006
Sleeman, B. D.
45
1978
Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086
Colton, David; Sleeman, B. D.
37
1983
Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059
Johansson, Tomas; Sleeman, Brian D.
33
2007
Lattice and non-lattice models of tumour angiogenesis. Zbl 1334.92206
Plank, M. J.; Sleeman, B. D.
33
2004
Partial differential equations of chemotaxis and angiogenesis. Zbl 0990.35014
Sleeman, B. D.; Levine, H. A.
31
2001
The existence and stability of spike patterns in a chemotaxis model. Zbl 1073.35118
Sleeman, B. D.; Ward, Michael J.; Wei, J. C.
30
2005
Differential equations and mathematical biology. Zbl 1020.92001
Jones, D. S.; Sleeman, B. D.
22
2003
A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036
Plank, M. J.; Sleeman, B. D.
21
2003
An inverse eigenvalue problem for a general convex domain. Zbl 0517.35080
Sleeman, B. D.; Zayed, E. M. E.
21
1983
Multiparameter spectral theory in Hilbert space. Zbl 0396.47005
Sleeman, B. D.
20
1978
Differential equations and mathematical biology. Zbl 0504.92002
Jones, D. S.; Sleeman, B. D.
19
1983
Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory. Zbl 0770.92018
Chaplain, M. A. J.; Sleeman, B. D.
19
1993
Wave front propagation and its failure in coupled systems of discrete bistable cells modelled by FitzHugh-Nagumo dynamics. Zbl 0885.92016
Anderson, A. R. A.; Sleeman, B. D.
19
1995
Solvability of a linear operator system. Zbl 0335.47008
Kaellstroem, A.; Sleeman, B. D.
18
1976
A left definite multiparameter eigenvalue problem in ordinary differential equations. Zbl 0333.34019
Källström, A.; Sleeman, B. D.
17
1976
Differential equations and mathematical biology. 2nd ed. Zbl 1298.92003
Jones, D. S.; Plank, M. J.; Sleeman, B. D.
17
2010
Nonlinear multiparameter Sturm-Liouville problems. Zbl 0386.34028
Browne, Patrick J.; Sleeman, B. D.
16
1979
A note on the non-existence of global solutions of initial boundary value problems for the Boussinesq equation \(u_{tt}=3u_{xxxx}+u_{xx}- 12(u^ 2)_{xx}\). Zbl 0591.35010
Levine, H. A.; Sleeman, B. D.
15
1985
A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems. Zbl 0890.34022
Browne, Patrick J.; Sleeman, B. D.
14
1997
The two parameter Sturm-Liouville problem for ordinary differential equations. Zbl 0235.34052
Sleeman, B. D.
13
1971
The solvability of some chemotaxis systems. Zbl 1073.35110
Yin, Yang; Hua, Chen; Weian, Liu; Sleeman, B. D.
13
2005
The inverse problem of acoustic scattering. Zbl 0496.76073
Sleeman, B. D.
13
1982
A mathematical analysis of a model for tumour angiogenesis. Zbl 0830.92013
Chaplain, M. A. J.; Giles, Susan M.; Sleeman, B. D.; Jarvis, R. J.
12
1995
Tumour induced angiogenesis as a reinforced random walk: Modelling capillary network formation without endothelial cell proliferation. Zbl 1021.92016
Sleeman, B. D.; Wallis, I. P.
12
2002
Maximum principles and comparison theorems for semilinear parabolic systems and their applications. Zbl 0791.35006
Lu, G.; Sleeman, B. D.
11
1993
Weak travelling fronts for population models with density dependent dispersion. Zbl 0653.92015
Grindrod, P.; Sleeman, B. D.
10
1987
Non-existence of global solutions to systems of semi-linear parabolic equations. Zbl 0816.35060
Lu, Gang; Sleeman, B. D.
10
1993
Non-linear multiparameter eigenvalue problems for ordinary differential equations. Zbl 0444.34028
Browne, P. J.; Sleeman, B. D.
10
1980
Subsolutions and supersolutions to systems of parabolic equations with applications to generalized Fujita-type systems. Zbl 0807.35061
Lu, G.; Sleeman, B. D.
9
1994
Trace formulae for the eigenvalues of the Laplacian. Zbl 0551.35066
Sleeman, B. D.; Zayed, E. M. E.
9
1984
Completeness and expansion theorems for a two-parameter eigenvalue problem in ordinary differential equations using variational principles. Zbl 0261.34018
Sleeman, B. D.
9
1973
Multiparameter spectral theory. Zbl 0364.47002
Källström, A.; Sleeman, B. D.
9
1977
Singular linear differential operators with many parameters. Zbl 0323.34017
Sleeman, B. D.
8
1973
A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation. Zbl 0963.92025
Sleeman, B. D.; Anderson, A. R. A.; Chaplan, M. A. J.
8
1999
A model of a myelinated nerve axon: threshold behaviour and propagation. Zbl 0579.92004
Grindrod, P.; Sleeman, B. D.
7
1985
A mathematical model for the growth and classification of a solid tumor: A new approach via nonlinear elasticity theory using strain-energy functions. Zbl 0761.92018
Chaplain, M. A. J.; Sleeman, B. D.
6
1992
Modelling tumour-induced angiogenesis. Zbl 1337.92112
Levine, H. A.; Sleeman, B. D.
6
2003
Bifurcation studies in reaction-diffusion. Zbl 0555.65073
Manoranjan, V. S.; Mitchell, A. R.; Sleeman, B. D.; Kuo, Penyu
6
1984
The two-parameter Sturm-Liouville problem for ordinary differential equations. II. Zbl 0242.34021
Sleeman, B. D.
6
1972
On FitzHugh’s nerve axon equations. Zbl 0299.92005
Green, M. W.; Sleeman, B. D.
6
1974
Multi-parameter eigenvalue problems in ordinary differential equations. Zbl 0352.34025
Sleeman, B. D.
6
1971
An approximation property of importance in inverse scattering theory. Zbl 0992.35115
Colton, David; Sleeman, Brian D.
6
2001
Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture. Zbl 0841.35075
Chen, Hua; Sleeman, B. D.
6
1995
A numerical technique for multiparameter eigenvalue problems. Zbl 0511.65024
Browne, Patrick J.; Sleeman, B. D.
6
1982
Multiparameter spectral theory and separation of variables. Zbl 1141.34008
Sleeman, B. D.
6
2008
On uniqueness of an inverse problem in electromagnetic obstacle scattering for an impedance cylinder. Zbl 1241.78026
Nakamura, Gen; Sleeman, Brian D.; Wang, Haibing
6
2012
On the spectral theory of operator bundles. II. Zbl 0411.47018
Roach, G. F.; Sleeman, B. D.
5
1979
Left-definite multiparameter eigenvalue problems. Zbl 0311.34029
Sleeman, B. D.
4
1975
On the spread of morphogens. Zbl 1066.92003
Merkin, J. H.; Sleeman, B. D.
4
2005
Permanence in Kolmogorov competition models with diffusion. Zbl 0789.35087
Zhao, X.-Q.; Sleeman, B. D.
4
1993
An analogue of Berry’s conjecture for the phase in fractal obstacle scattering. Zbl 0777.35051
Sleeman, B. D.; Hua, Chen
4
1992
An abstract relation for multiparameter eigenvalue problems. Zbl 0334.34027
Källström, A.; Sleeman, B. D.
4
1976
On the spectral theory of operator bundles. Zbl 0373.47001
Roach, G. F.; Sleeman, B. D.
4
1977
Travelling waves and pattern formation in a model for fungal development. Zbl 0880.92007
Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K.
4
1997
A mathematical model for the spread of morphogens with density dependent chemosensitivity. Zbl 1078.92010
Merkin, J. H.; Needham, D. J.; Sleeman, B. D.
4
2005
An abstract multiparameter spectral theory. Zbl 0499.47008
Binding, P. A.; Kaellstroem, A.; Sleeman, B. D.
4
1982
Klein oscillation theorems for multiparameter eigenvalue problems in ordinary differential equations. Zbl 0428.34028
Sleeman, B. D.
4
1979
Analytic perturbations of multiparameter eigenvalue problems. Zbl 0438.47017
Browne, Patrick J.; Sleeman, B. D.
4
1979
Integral representations associated with high-frequency non-symmetric scattering by prolate spheroids. Zbl 0185.18701
Sleeman, B. D.
4
1969
A mathematical model for the production and secretion of tumour angiogenesis factor in tumours. Zbl 0711.92010
Chaplain, M. A. J.; Sleeman, B. D.
4
1990
Acoustic propagation in dispersions and the geometric theory of diffraction. Zbl 1126.35348
Harlen, O. G.; Holmes, M. J.; Povey, M. J. W.; Sleeman, B. D.
4
2003
Small amplitude periodic waves for the FitzHugh-Nagumo equations. Zbl 0503.92008
Sleeman, B. D.
3
1982
Spatial effects in a two-dimensional model of the budworm-balsam fir ecosystem. Zbl 0618.92020
Ben-Yu, G.; Mitchell, A. R.; Sleeman, B. D.
3
1986
Complexity in spatio-temporal dynamics. Zbl 0839.58048
Rod, D. L.; Sleeman, B. D.
3
1995
Inverse multi-parameter eigenvalue problems for matrices. Zbl 0575.15002
Browne, Patrick J.; Sleeman, B. D.
3
1985
The numerical solution of two-parameter eigenvalue problems in ordinary differential equations with an application to the problem of diffraction by a plane angular sector. Zbl 0282.65068
Hargrave, B. A.; Sleeman, B. D.
3
1974
Mathematical modelling of tumour angiogenesis and the action of angiostatin as a protease inhibitor. Zbl 1052.92030
Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit
3
2002
Travelling-wave solutions to monostable reaction-diffusion systems of mixed monotone type. Zbl 0945.35044
Takase, H.; Sleeman, B. D.
3
1999
Large-scale behavior of fungal mycelia. Zbl 0876.92008
Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K.
3
1996
Regular multiparameter eigenvalue problems with several parameters in the boundary conditions. Zbl 0424.34022
Browne, Patrick J.; Sleeman, B. D.
3
1979
The low-frequency scalar Dirichlet scattering by a general ellipsoid. Zbl 0152.45506
Sleeman, B. D.
3
1967
Complexity in biological systems and Hamiltonian dynamics. Zbl 0681.92002
Sleeman, B. D.
3
1989
Stable periodic solutions in nonlinear difference equations. Zbl 0646.65064
Sleeman, B. D.; Griffiths, D. F.; Mitchell, A. R.; Smith, P. D.
2
1988
Spatial patterning of spruce budworm in circular region. Zbl 0737.92019
Guo, Benyu; Mitchell, A. R.; Sleeman, B. D.
2
1991
Comparison principles for strongly coupled reaction-diffusion equations. Zbl 0633.35039
Sleeman, B. D.; Tuma, E.
2
1987
On a discrete logistic model of biology. Zbl 0657.92001
Guo, Ben-Yu.; Sleeman, B. D.; Chen, Sui-Yang
2
1989
Erratum: “Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma”. Zbl 1334.92038
Levine, H. A.; Pamuk, S.; Sleeman, B. D.; Nilsen-Hamilton, M.
2
2002
High-frequency estimates for the Neumann scattering phase in non-smooth obstacle scattering. Zbl 0972.35159
Hua, Chen; Sleeman, B. D.
2
2001
FitzHugh’s nerve axon equations. Zbl 0319.92003
Sleeman, B. D.
2
1975
Non-existence of global solutions to anisotropic Fujita-type systems of semilinear parabolic equations. Zbl 0965.35080
Takase, H.; Sleeman, B. D.
2
2000
Estimates for the remainder term in the asymptotics of the counting function for domains with irregular boundaries. Zbl 0948.35092
Chen, H.; Sleeman, B. D.
2
1997
Linear differential equations with symmetries. Zbl 0926.34001
Churchill, R. C.; Rod, D. L.; Sleeman, B. D.
2
1997
Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries. Zbl 0903.35047
Chen, Hua; Sleeman, Brian D.
2
1998
Tumour-induced angiogenesis: a review. Zbl 1078.92040
Plank, M. J.; Sleeman, B. D.
2
2003
Nonlinear multiparameter eigenvalue problems. Zbl 0509.47047
Browne, Patrick J.; Sleeman, B. D.
2
1981
Doubly-periodic Floquet theory. Zbl 0527.34041
Sleeman, B. D.; Smith, P. D.; Wright, G. P.
2
1984
Bifurcation from eigenvalues in non-linear multiparameter Sturm-Liouville problems. Zbl 0421.34024
Browne, Patrick J.; Sleeman, B. D.
2
1980
Stability regions for multi-parameter systems of periodic second order ordinary differential equations. Zbl 0422.34064
Browne, Patrick J.; Sleeman, B. D.
2
1979
Instability of certain traveling wave solutions to the Fitz Hugh-Nagumo nerve axon equations. Zbl 0429.35066
Sleeman, B. D.
2
1980
On parabolic cylinder functions. Zbl 0155.39503
Sleeman, B. D.
2
1968
On diffraction at short wavelengths by a prolate spheroid. Zbl 0189.10203
Sleeman, B. D.
2
1969
Mathematical modelling of avascular ellipsoidal tumour growth. Zbl 1233.92030
Dassios, G.; Kariotou, F.; Tsampas, M. N.; Sleeman, B. D.
2
2012
Mathematical modelling of avascular and vascular tumour growth. Zbl 1178.92031
Jones, P. F.; Sleeman, B. D.
2
2008
Interior transmission eigenvalues of a rectangle. Zbl 1334.35193
Sleeman, B. D.; Stocks, D. C.
1
2016
On uniqueness of an inverse problem in electromagnetic obstacle scattering for an impedance cylinder. Zbl 1241.78026
Nakamura, Gen; Sleeman, Brian D.; Wang, Haibing
6
2012
Mathematical modelling of avascular ellipsoidal tumour growth. Zbl 1233.92030
Dassios, G.; Kariotou, F.; Tsampas, M. N.; Sleeman, B. D.
2
2012
High frequency scattering by a classically invisible body. Zbl 1257.78010
Lakshtanov, E.; Sleeman, B. D.; Vainberg, B.
1
2012
Differential equations and mathematical biology. 2nd ed. Zbl 1298.92003
Jones, D. S.; Plank, M. J.; Sleeman, B. D.
17
2010
The inverse acoustic obstacle scattering problem and its interior dual. Zbl 1183.35275
Sleeman, Brian
1
2009
Multiparameter spectral theory and separation of variables. Zbl 1141.34008
Sleeman, B. D.
6
2008
Mathematical modelling of avascular and vascular tumour growth. Zbl 1178.92031
Jones, P. F.; Sleeman, B. D.
2
2008
Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059
Johansson, Tomas; Sleeman, Brian D.
33
2007
Mathematical aspects of modelling tumour angiogenesis. Zbl 1100.92034
Sleeman, B. D.
1
2006
The existence and stability of spike patterns in a chemotaxis model. Zbl 1073.35118
Sleeman, B. D.; Ward, Michael J.; Wei, J. C.
30
2005
The solvability of some chemotaxis systems. Zbl 1073.35110
Yin, Yang; Hua, Chen; Weian, Liu; Sleeman, B. D.
13
2005
On the spread of morphogens. Zbl 1066.92003
Merkin, J. H.; Sleeman, B. D.
4
2005
A mathematical model for the spread of morphogens with density dependent chemosensitivity. Zbl 1078.92010
Merkin, J. H.; Needham, D. J.; Sleeman, B. D.
4
2005
Acoustic propagation in dispersions in the long wavelength limit. Zbl 1141.76061
Pinfield, V. J.; Harlen, O. G.; Povey, M. J. W.; Sleeman, B. D.
1
2005
Lattice and non-lattice models of tumour angiogenesis. Zbl 1334.92206
Plank, M. J.; Sleeman, B. D.
33
2004
Differential equations and mathematical biology. Zbl 1020.92001
Jones, D. S.; Sleeman, B. D.
22
2003
A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036
Plank, M. J.; Sleeman, B. D.
21
2003
Modelling tumour-induced angiogenesis. Zbl 1337.92112
Levine, H. A.; Sleeman, B. D.
6
2003
Acoustic propagation in dispersions and the geometric theory of diffraction. Zbl 1126.35348
Harlen, O. G.; Holmes, M. J.; Povey, M. J. W.; Sleeman, B. D.
4
2003
Tumour-induced angiogenesis: a review. Zbl 1078.92040
Plank, M. J.; Sleeman, B. D.
2
2003
Tumour induced angiogenesis as a reinforced random walk: Modelling capillary network formation without endothelial cell proliferation. Zbl 1021.92016
Sleeman, B. D.; Wallis, I. P.
12
2002
Mathematical modelling of tumour angiogenesis and the action of angiostatin as a protease inhibitor. Zbl 1052.92030
Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit
3
2002
Erratum: “Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma”. Zbl 1334.92038
Levine, H. A.; Pamuk, S.; Sleeman, B. D.; Nilsen-Hamilton, M.
2
2002
A mathematical model of an In Vitro experiment to investigate endothelial cell migration. Zbl 1052.92022
Plank, M. J.; Sleeman, B. D.; Jones, P. F.
1
2002
Existence and nonexistence of Fujita-type critical exponents for isotropic and anisotropic semi-linear parabolic systems. Zbl 0996.35008
Takase, H.; Sleeman, B. D.
1
2002
Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Zbl 1323.92029
Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit
64
2001
Mathematical modeling of the onset of capillary formation initiating angiogenesis. Zbl 0977.92013
Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit
51
2001
Partial differential equations of chemotaxis and angiogenesis. Zbl 0990.35014
Sleeman, B. D.; Levine, H. A.
31
2001
An approximation property of importance in inverse scattering theory. Zbl 0992.35115
Colton, David; Sleeman, Brian D.
6
2001
High-frequency estimates for the Neumann scattering phase in non-smooth obstacle scattering. Zbl 0972.35159
Hua, Chen; Sleeman, B. D.
2
2001
A low frequency potential scattering description of acoustic propagation in dispersions. Zbl 0988.35127
Harlen, O. G.; Holmes, M. J.; Povey, M. J. W.; Qiu, Y.; Sleeman, B. D.
1
2001
A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis. Zbl 0986.92016
Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit
56
2000
Non-existence of global solutions to anisotropic Fujita-type systems of semilinear parabolic equations. Zbl 0965.35080
Takase, H.; Sleeman, B. D.
2
2000
A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation. Zbl 0963.92025
Sleeman, B. D.; Anderson, A. R. A.; Chaplan, M. A. J.
8
1999
Travelling-wave solutions to monostable reaction-diffusion systems of mixed monotone type. Zbl 0945.35044
Takase, H.; Sleeman, B. D.
3
1999
Velocity and stability of solitary planar travelling wave solutions of intracellular [Ca]\(^{2+}\). Zbl 1323.92082
Chopra, G. C.; Sleeman, B. D.; Brindley, J.; Knapp, D. G.; Holden, A. V.
1
1999
Aggregation and collapse in a mechanical model of fungal tip growth. Zbl 0972.92005
Regalado, Carlos M.; Sleeman, Brian D.
1
1999
Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries. Zbl 0903.35047
Chen, Hua; Sleeman, Brian D.
2
1998
Target patterns and spiral waves in reaction-diffusion systems with limit cycle kinetics and weak diffusion. Zbl 0928.92001
Zhao, Xiaoqiang; Sleeman, B. D.
1
1998
A system of reaction diffusion equations arising in the theory of reinforced random walks. Zbl 0874.35047
Levine, Howard A.; Sleeman, Brian D.
96
1997
A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems. Zbl 0890.34022
Browne, Patrick J.; Sleeman, B. D.
14
1997
Travelling waves and pattern formation in a model for fungal development. Zbl 0880.92007
Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K.
4
1997
Estimates for the remainder term in the asymptotics of the counting function for domains with irregular boundaries. Zbl 0948.35092
Chen, H.; Sleeman, B. D.
2
1997
Linear differential equations with symmetries. Zbl 0926.34001
Churchill, R. C.; Rod, D. L.; Sleeman, B. D.
2
1997
Travelling waves in a reaction-diffusion system modelling fungal mycelia. Zbl 0885.92038
Davidson, F. A.; Sleeman, B. D.; Crawford, J. W.
1
1997
Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007
Browne, Patrick J.; Sleeman, B. D.
62
1996
Large-scale behavior of fungal mycelia. Zbl 0876.92008
Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K.
3
1996
Solid tumour growth: A case study in mathematical biology. Zbl 0869.92009
Sleeman, B. D.
1
1996
Wave front propagation and its failure in coupled systems of discrete bistable cells modelled by FitzHugh-Nagumo dynamics. Zbl 0885.92016
Anderson, A. R. A.; Sleeman, B. D.
19
1995
A mathematical analysis of a model for tumour angiogenesis. Zbl 0830.92013
Chaplain, M. A. J.; Giles, Susan M.; Sleeman, B. D.; Jarvis, R. J.
12
1995
Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture. Zbl 0841.35075
Chen, Hua; Sleeman, B. D.
6
1995
Complexity in spatio-temporal dynamics. Zbl 0839.58048
Rod, D. L.; Sleeman, B. D.
3
1995
Asymptotic behavior of quasi-competitive species defined by Lotka-Volterra dynamics. Zbl 0853.34034
Lu, Gang; Sleeman, B. D.
1
1995
Subsolutions and supersolutions to systems of parabolic equations with applications to generalized Fujita-type systems. Zbl 0807.35061
Lu, G.; Sleeman, B. D.
9
1994
Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory. Zbl 0770.92018
Chaplain, M. A. J.; Sleeman, B. D.
19
1993
Maximum principles and comparison theorems for semilinear parabolic systems and their applications. Zbl 0791.35006
Lu, G.; Sleeman, B. D.
11
1993
Non-existence of global solutions to systems of semi-linear parabolic equations. Zbl 0816.35060
Lu, Gang; Sleeman, B. D.
10
1993
Permanence in Kolmogorov competition models with diffusion. Zbl 0789.35087
Zhao, X.-Q.; Sleeman, B. D.
4
1993
Asymptotic estimates for eigenvalues of right definite two parameter Sturm-Liouville problems. Zbl 0804.34028
Browne, Patrick J.; Sleeman, B. D.
1
1993
A note on the characterisation of eigencurves for certain two parameter eigenvalue problems in ordinary differential equations. Zbl 0778.34065
Browne, Patrick J.; Sleeman, B. D.
1
1993
A mathematical model for the growth and classification of a solid tumor: A new approach via nonlinear elasticity theory using strain-energy functions. Zbl 0761.92018
Chaplain, M. A. J.; Sleeman, B. D.
6
1992
An analogue of Berry’s conjecture for the phase in fractal obstacle scattering. Zbl 0777.35051
Sleeman, B. D.; Hua, Chen
4
1992
The interior transmission problem and inverse scattering from inhomogeneous media. Zbl 0733.76065
Rynne, B. P.; Sleeman, B. D.
50
1991
Spatial patterning of spruce budworm in circular region. Zbl 0737.92019
Guo, Benyu; Mitchell, A. R.; Sleeman, B. D.
2
1991
Spectral decomposition of uniformly elliptic multiparameter eigenvalue problems. Zbl 0783.47026
Binding, P. A.; Sleeman, B. D.
1
1991
A mathematical model for the production and secretion of tumour angiogenesis factor in tumours. Zbl 0711.92010
Chaplain, M. A. J.; Sleeman, B. D.
4
1990
Complexity in biological systems and Hamiltonian dynamics. Zbl 0681.92002
Sleeman, B. D.
3
1989
On a discrete logistic model of biology. Zbl 0657.92001
Guo, Ben-Yu.; Sleeman, B. D.; Chen, Sui-Yang
2
1989
Stable periodic solutions in nonlinear difference equations. Zbl 0646.65064
Sleeman, B. D.; Griffiths, D. F.; Mitchell, A. R.; Smith, P. D.
2
1988
Inverse multiparameter eigenvalue problems for matrices. III. Zbl 0647.15004
Browne, Patrick J.; Sleeman, B. D.
1
1988
Period-doubling bifurcations leading to chaos in discrete models of biology. Zbl 0656.92003
Sleeman, B. D.
1
1988
Weak travelling fronts for population models with density dependent dispersion. Zbl 0653.92015
Grindrod, P.; Sleeman, B. D.
10
1987
Comparison principles for strongly coupled reaction-diffusion equations. Zbl 0633.35039
Sleeman, B. D.; Tuma, E.
2
1987
Spatial effects in a two-dimensional model of the budworm-balsam fir ecosystem. Zbl 0618.92020
Ben-Yu, G.; Mitchell, A. R.; Sleeman, B. D.
3
1986
A note on the non-existence of global solutions of initial boundary value problems for the Boussinesq equation \(u_{tt}=3u_{xxxx}+u_{xx}- 12(u^ 2)_{xx}\). Zbl 0591.35010
Levine, H. A.; Sleeman, B. D.
15
1985
A model of a myelinated nerve axon: threshold behaviour and propagation. Zbl 0579.92004
Grindrod, P.; Sleeman, B. D.
7
1985
Inverse multi-parameter eigenvalue problems for matrices. Zbl 0575.15002
Browne, Patrick J.; Sleeman, B. D.
3
1985
Spatial patterning of the spruce budworm in the presence of defoliation. Zbl 0588.35051
Yu, Guo Ben; Sleeman, B. D.
1
1985
Homoclinic solutions for coupled systems of differential equations. Zbl 0595.34039
Grindrod, P.; Sleeman, B. D.
1
1985
Bounds for wave-front solutions to the FitzHugh-Nagumo equations. Zbl 0603.35046
Sleeman, B. D.; Tuma, E.
1
1985
Trace formulae for the eigenvalues of the Laplacian. Zbl 0551.35066
Sleeman, B. D.; Zayed, E. M. E.
9
1984
Bifurcation studies in reaction-diffusion. Zbl 0555.65073
Manoranjan, V. S.; Mitchell, A. R.; Sleeman, B. D.; Kuo, Penyu
6
1984
Doubly-periodic Floquet theory. Zbl 0527.34041
Sleeman, B. D.; Smith, P. D.; Wright, G. P.
2
1984
Comparison principles in the analysis of reaction-diffusion systems modelling unmyelinated nerve fibres. Zbl 0609.92016
Grindrod, P.; Sleeman, B. D.
1
1984
On exact solutions of a class of reaction-diffusion equations. Zbl 0562.35046
Sleeman, B. D.; Tuma, E.
1
1984
Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086
Colton, David; Sleeman, B. D.
37
1983
An inverse eigenvalue problem for a general convex domain. Zbl 0517.35080
Sleeman, B. D.; Zayed, E. M. E.
21
1983
Differential equations and mathematical biology. Zbl 0504.92002
Jones, D. S.; Sleeman, B. D.
19
1983
Bloch waves and multiparameter spectral theory. Zbl 0534.35073
Rynne, B. P.; Sleeman, B. D.
1
1983
The inverse problem of acoustic scattering. Zbl 0496.76073
Sleeman, B. D.
13
1982
A numerical technique for multiparameter eigenvalue problems. Zbl 0511.65024
Browne, Patrick J.; Sleeman, B. D.
6
1982
An abstract multiparameter spectral theory. Zbl 0499.47008
Binding, P. A.; Kaellstroem, A.; Sleeman, B. D.
4
1982
Small amplitude periodic waves for the FitzHugh-Nagumo equations. Zbl 0503.92008
Sleeman, B. D.
3
1982
Ordinary and partial differential equations. Proceedings of the Seventh Conference Held at Dundee, Scotland, March 29 - April 2, 1982. Zbl 0488.00008
1
1982
Nonlinear multiparameter eigenvalue problems. Zbl 0509.47047
Browne, Patrick J.; Sleeman, B. D.
2
1981
Boundary value problems for the vibrating string equation. Zbl 0461.35055
Sleeman, B. D.
1
1981
Two-dimensional inverse scattering and conformal mappings. Zbl 0463.35066
Sleeman, B. D.
1
1981
Some useful functions for functional limit theorems. Zbl 0428.60010
Whitt, Ward; Sleeman, B. D.
131
1980
Non-linear multiparameter eigenvalue problems for ordinary differential equations. Zbl 0444.34028
Browne, P. J.; Sleeman, B. D.
10
1980
...and 36 more Documents
all top 5

Cited by 1,271 Authors

44 Sleeman, Brian David
30 Binding, Paul Anthony
22 Browne, Patrick J.
22 Wang, Zhian
21 Zayed, Elsayed M. E.
15 Yang, Chuanfu
14 Koyunbakan, Hikmet
14 Kress, Rainer
14 Whitt, Ward
13 Zhao, Kun
11 Wang, Yuping
11 Winkler, Michael
10 Chaplain, Mark A. J.
9 Colton, David Lem
9 Li, Tong
8 Chen, Hua
8 Han, Jiayu
8 Maini, Philip Kumar
8 Pamuk, Serdal
8 Shieh, Chung-Tsun
8 Yang, Yidu
7 Bellomo, Nicola
7 Byrne, Helen Mary
7 Deng, Keng
7 Hu, Guanghui
7 Keskin, Baki
7 Liu, Hongyu
7 Yılmaz, Emrah Sercan
6 Cakoni, Fioralba
6 Chen, Lung-Hui
6 Davidson, Fordyce A.
6 Haddar, Houssem
6 Košir, Tomaž
6 Ozkan, Ahmet Sinan
6 Peng, Hongyun
6 Rynne, Bryan P.
6 Yang, Zhijian
6 Zhang, Hanqin
5 An, Jing
5 Anderson, Alexander R. A.
5 Anderson, Jeffrey R.
5 Bi, Hai
5 Chen, Hong
5 Glynn, Peter W.
5 Hillen, Thomas
5 Hou, Qianqian
5 Källström, A.
5 Lee, Kuo-Ming
5 Liu, Weian
5 Lu, Gang
5 Mcelwain, D. L. Sean
5 Perthame, Benoît
5 Resnick, Sidney Ira
5 Tello, José Ignacio
5 Wang, Haibing
5 Yan, Guozheng
4 Bellouquid, Abdelghani
4 Bonilla, Luis Lopez
4 Capasso, Vincenzo
4 Carpio, Ana
4 Choi, Kyudong
4 Dong, Heping
4 Friedman, Avner
4 Ivanyshyn, Olha
4 Karageorghis, Andreas
4 Konstantinov, Alexander Yu.
4 Lesnic, Daniel
4 Li, Jingyu
4 Liu, Jijun
4 Liu, Zhengrong
4 McDougall, Steven R.
4 Negreanu, Mihaela
4 Painter, Kevin J.
4 Pang, Peter Y. H.
4 Preziosi, Luigi
4 Puhalskii, Anatolii A.
4 Saad, Khaled Mohammed
4 Sini, Mourad
4 Volkmer, Hans
4 Zeng, Yanni
4 Zhao, Xiao-Qiang
4 Zhu, Changjiang
4 Zhu, Neng
4 Zwart, Bert P.
3 Akbarpoor, Shahrbanoo
3 Amodio, Pierluigi
3 Bet, Gianmarco
3 Bilbault, Jean-Marie
3 Buterin, Sergey Alexandrovich
3 Carretero, Manuel
3 Chapko, Roman
3 Chen, Miaochao
3 Chesnel, Lucas
3 Dassios, George
3 De Angelis, Elena
3 Fan, Jishan
3 Gintides, Drossos
3 Grunenfelder, Luzius
3 Gulsen, Tuba
3 Guo, Ben-Yu
...and 1,171 more Authors
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Cited in 271 Serials

54 Journal of Mathematical Analysis and Applications
42 Journal of Differential Equations
30 Applicable Analysis
25 Journal of Mathematical Biology
25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 Applied Mathematics and Computation
23 Journal of Theoretical Biology
21 Mathematical and Computer Modelling
20 Stochastic Processes and their Applications
19 Mathematical Methods in the Applied Sciences
19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Queueing Systems
18 Inverse Problems in Science and Engineering
17 Journal of Computational and Applied Mathematics
16 Bulletin of Mathematical Biology
15 Applied Mathematics Letters
14 Computers & Mathematics with Applications
13 Mathematical Biosciences
13 Discrete and Continuous Dynamical Systems. Series B
11 Proceedings of the Edinburgh Mathematical Society. Series II
11 Journal of Inverse and Ill-Posed Problems
11 Nonlinear Analysis. Real World Applications
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Nonlinear Analysis. Theory, Methods & Applications
9 Journal of Computational Physics
9 Transactions of the American Mathematical Society
9 The Annals of Applied Probability
9 SIAM Journal on Mathematical Analysis
9 Discrete and Continuous Dynamical Systems
8 Chaos, Solitons and Fractals
8 Acta Mathematicae Applicatae Sinica. English Series
8 Boundary Value Problems
8 Inverse Problems and Imaging
7 Journal of Mathematical Physics
7 The Annals of Probability
6 Inverse Problems
6 Journal of Applied Probability
6 Communications in Partial Differential Equations
6 Electronic Journal of Probability
6 Acta Mathematica Sinica. English Series
5 Quarterly of Applied Mathematics
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Engineering Analysis with Boundary Elements
5 Abstract and Applied Analysis
5 Probability in the Engineering and Informational Sciences
5 Science China. Mathematics
4 Journal of Engineering Mathematics
4 Wave Motion
4 Journal of Functional Analysis
4 Numerische Mathematik
4 Proceedings of the American Mathematical Society
4 Operations Research Letters
4 Applied Numerical Mathematics
4 Probability Theory and Related Fields
4 Journal of Integral Equations and Applications
4 Applications of Mathematics
4 Linear Algebra and its Applications
4 SIAM Journal on Applied Mathematics
4 Stochastic Models
4 Mathematical Biosciences and Engineering
3 Communications in Mathematical Physics
3 Journal of Soviet Mathematics
3 Mathematische Nachrichten
3 Mathematics of Operations Research
3 Numerical Functional Analysis and Optimization
3 Quaestiones Mathematicae
3 Results in Mathematics
3 Acta Applicandae Mathematicae
3 Physica D
3 SIAM Journal on Matrix Analysis and Applications
3 Journal of Scientific Computing
3 Applied Mathematical Modelling
3 International Journal of Computer Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Acta Mathematica Sinica. New Series
3 Journal of Mathematical Sciences (New York)
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Complex Variables and Elliptic Equations
3 Advances in Mathematical Physics
2 Acta Mechanica
2 Archive for Rational Mechanics and Analysis
2 Computer Methods in Applied Mechanics and Engineering
2 Israel Journal of Mathematics
2 Physica A
2 Physics Letters. A
2 Stochastics
2 Ukrainian Mathematical Journal
2 Automatica
2 Functional Analysis and its Applications
2 Glasgow Mathematical Journal
2 Indiana University Mathematics Journal
2 Journal of the Mathematical Society of Japan
2 Statistics & Probability Letters
2 Applied Mathematics and Mechanics. (English Edition)
2 Journal of Theoretical Probability
2 European Journal of Applied Mathematics
2 Japan Journal of Industrial and Applied Mathematics
2 Discrete Event Dynamic Systems
...and 171 more Serials
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Cited in 47 Fields

493 Partial differential equations (35-XX)
346 Biology and other natural sciences (92-XX)
169 Ordinary differential equations (34-XX)
156 Numerical analysis (65-XX)
141 Probability theory and stochastic processes (60-XX)
99 Operator theory (47-XX)
56 Optics, electromagnetic theory (78-XX)
45 Fluid mechanics (76-XX)
39 Operations research, mathematical programming (90-XX)
36 Mechanics of deformable solids (74-XX)
33 Statistics (62-XX)
27 Integral equations (45-XX)
26 Dynamical systems and ergodic theory (37-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
14 Systems theory; control (93-XX)
12 Functional analysis (46-XX)
12 Computer science (68-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Special functions (33-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Potential theory (31-XX)
6 Real functions (26-XX)
6 Measure and integration (28-XX)
6 Difference and functional equations (39-XX)
6 Quantum theory (81-XX)
5 Algebraic geometry (14-XX)
5 Information and communication theory, circuits (94-XX)
4 Geophysics (86-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Differential geometry (53-XX)
3 Mechanics of particles and systems (70-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Approximations and expansions (41-XX)
2 Convex and discrete geometry (52-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)

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