Edit Profile (opens in new tab) Sleeman, Brian David (b. 1939 d. 2021) Co-Author Distance Author ID: sleeman.brian-d Published as: Sleeman, B. D.; Sleeman, Brian D.; Sleeman, Brian more...less External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 201 Publications since 1966, including 4 Books 10 Contributions as Editor Reviewing Activity: 124 Reviews Biographic References: 1 Publication Co-Authors: 91 Co-Authors with 159 Joint Publications 2,235 Co-Co-Authors all top 5 Co-Authors 50 single-authored 20 Browne, Patrick J. 12 Chen, Hua 11 Levine, Howard Allen 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 Roach, Gary Francis 4 Smith, Paul Denis 4 Takase, Hiroshi 4 Tuma, Elías 3 Colton, David Lem 3 Crawford, John W. 3 Davidson, Fordyce A. 3 Guo, Ben-Yu 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 Liu, Weian 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 Sklyanin, Evgeny K. 1 Smye, S. W. 1 Stewart, Iain 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 Whitt, Ward 1 Wright, Gordon P. 1 Yang, Yin 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 4 Pitman Research Notes in Mathematics Series 3 Mathematical Biosciences 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 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 Research Notes in Mathematics (San Francisco) 1 Chapman & Hall/CRC Mathematical and Computational Biology Series all top 5 Fields 107 Partial differential equations (35-XX) 69 Biology and other natural sciences (92-XX) 58 Ordinary differential equations (34-XX) 22 Operator theory (47-XX) 18 Fluid mechanics (76-XX) 10 Probability theory and stochastic processes (60-XX) 10 Numerical analysis (65-XX) 9 General and overarching topics; collections (00-XX) 7 Special functions (33-XX) 6 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 History and biography (01-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 1,589 times in 1,175 Documents Cited by ▼ Year ▼ Some useful functions for functional limit theorems. Zbl 0428.60010 Whitt, Ward; Sleeman, B. D. 142 1980 A system of reaction diffusion equations arising in the theory of reinforced random walks. Zbl 0874.35047 Levine, Howard A.; Sleeman, Brian D. 129 1997 Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007 Browne, Patrick J.; Sleeman, B. D. 82 1996 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 80 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 74 2000 The interior transmission problem and inverse scattering from inhomogeneous media. Zbl 0733.76065 Rynne, B. P.; Sleeman, B. D. 53 1991 Mathematical modeling of the onset of capillary formation initiating angiogenesis. Zbl 0977.92013 Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit 52 2001 Multiparameter spectral theory in Hilbert space. Zbl 0396.47006 Sleeman, B. D. 49 1978 Lattice and non-lattice models of tumour angiogenesis. Zbl 1334.92206 Plank, M. J.; Sleeman, B. D. 43 2004 Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086 Colton, David; Sleeman, B. D. 40 1983 Partial differential equations of chemotaxis and angiogenesis. Zbl 0990.35014 Sleeman, B. D.; Levine, H. A. 37 2001 Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059 Johansson, Tomas; Sleeman, Brian D. 36 2007 The existence and stability of spike patterns in a chemotaxis model. Zbl 1073.35118 Sleeman, B. D.; Ward, Michael J.; Wei, J. C. 34 2005 Differential equations and mathematical biology. Zbl 1020.92001 Jones, D. S.; Sleeman, B. D. 27 2003 Differential equations and mathematical biology. 2nd ed. Zbl 1298.92003 Jones, D. S.; Plank, M. J.; Sleeman, B. D. 26 2010 A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036 Plank, M. J.; Sleeman, B. D. 24 2003 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. 24 1993 Differential equations and mathematical biology. Zbl 0504.92002 Jones, D. S.; Sleeman, B. D. 22 1983 Multiparameter spectral theory in Hilbert space. Zbl 0396.47005 Sleeman, B. D. 22 1978 An inverse eigenvalue problem for a general convex domain. Zbl 0517.35080 Sleeman, B. D.; Zayed, E. M. E. 21 1983 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. 21 1995 Solvability of a linear operator system. Zbl 0335.47008 Kaellstroem, A.; Sleeman, B. D. 18 1976 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. 17 1985 A left definite multiparameter eigenvalue problem in ordinary differential equations. Zbl 0333.34019 Källström, A.; Sleeman, B. D. 17 1976 Nonlinear multiparameter Sturm-Liouville problems. Zbl 0386.34028 Browne, Patrick J.; Sleeman, B. D. 16 1979 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. 15 1995 A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems. Zbl 0890.34022 Browne, Patrick J.; Sleeman, B. D. 14 1997 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. 14 2002 The solvability of some chemotaxis systems. Zbl 1073.35110 Yang, Yin; Chen, Hua; Liu, Weian; Sleeman, B. D. 14 2005 The inverse problem of acoustic scattering. Zbl 0496.76073 Sleeman, B. D. 13 1982 The two parameter Sturm-Liouville problem for ordinary differential equations. Zbl 0235.34052 Sleeman, B. D. 13 1971 A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins. Zbl 1440.92014 Plank, M. J.; Sleeman, B. D.; Jones, P. F. 13 2004 Maximum principles and comparison theorems for semilinear parabolic systems and their applications. Zbl 0791.35006 Lu, G.; Sleeman, B. D. 12 1993 Non-existence of global solutions to systems of semi-linear parabolic equations. Zbl 0816.35060 Lu, Gang; Sleeman, B. D. 10 1993 Subsolutions and supersolutions to systems of parabolic equations with applications to generalized Fujita-type systems. Zbl 0807.35061 Lu, G.; Sleeman, B. D. 10 1994 Weak travelling fronts for population models with density dependent dispersion. Zbl 0653.92015 Grindrod, P.; Sleeman, B. D. 10 1987 Completeness and expansion theorems for a two-parameter eigenvalue problem in ordinary differential equations using variational principles. Zbl 0261.34018 Sleeman, B. D. 10 1973 Non-linear multiparameter eigenvalue problems for ordinary differential equations. Zbl 0444.34028 Browne, P. J.; Sleeman, B. D. 10 1980 Trace formulae for the eigenvalues of the Laplacian. Zbl 0551.35066 Sleeman, B. D.; Zayed, E. M. E. 9 1984 Multiparameter spectral theory. Zbl 0364.47002 Källström, A.; Sleeman, B. D. 9 1977 Multiparameter spectral theory and separation of variables. Zbl 1141.34008 Sleeman, B. D. 9 2008 A numerical technique for multiparameter eigenvalue problems. Zbl 0511.65024 Browne, Patrick J.; Sleeman, B. D. 8 1982 Singular linear differential operators with many parameters. Zbl 0323.34017 Sleeman, B. D. 8 1973 On uniqueness of an inverse problem in electromagnetic obstacle scattering for an impedance cylinder. Zbl 1241.78026 Nakamura, Gen; Sleeman, Brian D.; Wang, Haibing 8 2012 Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture. Zbl 0841.35075 Chen, Hua; Sleeman, B. D. 7 1995 A model of a myelinated nerve axon: threshold behaviour and propagation. Zbl 0579.92004 Grindrod, P.; Sleeman, B. D. 7 1985 Bifurcation studies in reaction-diffusion. Zbl 0555.65073 Manoranjan, V. S.; Mitchell, A. R.; Sleeman, B. D.; Kuo, Penyu 7 1984 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. 7 1999 A mathematical model for the production and secretion of tumour angiogenesis factor in tumours. Zbl 0711.92010 Chaplain, M. A. J.; Sleeman, B. D. 7 1990 Multi-parameter eigenvalue problems in ordinary differential equations. Zbl 0352.34025 Sleeman, B. D. 7 1971 An approximation property of importance in inverse scattering theory. Zbl 0992.35115 Colton, David; Sleeman, Brian D. 6 2001 On FitzHugh’s nerve axon equations. Zbl 0299.92005 Green, M. W.; Sleeman, B. D. 6 1974 The two-parameter Sturm-Liouville problem for ordinary differential equations. II. Zbl 0242.34021 Sleeman, B. D. 6 1972 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 On the spectral theory of operator bundles. II. Zbl 0411.47018 Roach, G. F.; Sleeman, B. D. 6 1979 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. 5 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. 5 2005 Stable periodic solutions in nonlinear difference equations. Zbl 0646.65064 Sleeman, B. D.; Griffiths, D. F.; Mitchell, A. R.; Smith, P. D. 5 1988 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. 5 1974 An abstract relation for multiparameter eigenvalue problems. Zbl 0334.34027 Källström, A.; Sleeman, B. D. 5 1976 Mathematical modelling of avascular and vascular tumour growth. Zbl 1178.92031 Jones, P. F.; Sleeman, B. D. 5 2008 Modelling tumour-induced angiogenesis. Zbl 1337.92112 Levine, H. A.; Sleeman, B. D. 5 2003 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 Complexity in biological systems and Hamiltonian dynamics. Zbl 0681.92002 Sleeman, B. D. 4 1989 An abstract multiparameter spectral theory. Zbl 0499.47008 Binding, P. A.; Kaellstroem, A.; Sleeman, B. D. 4 1982 Doubly-periodic Floquet theory. Zbl 0527.34041 Sleeman, B. D.; Smith, P. D.; Wright, G. P. 4 1984 Large-scale behavior of fungal mycelia. Zbl 0876.92008 Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 4 1996 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 Mathematical modelling of avascular ellipsoidal tumour growth. Zbl 1233.92030 Dassios, G.; Kariotou, F.; Tsampas, M. N.; Sleeman, B. D. 4 2012 On the spectral theory of operator bundles. Zbl 0373.47001 Roach, G. F.; Sleeman, B. D. 4 1977 Left-definite multiparameter eigenvalue problems. Zbl 0311.34029 Sleeman, B. D. 4 1975 Integral representations associated with high-frequency non-symmetric scattering by prolate spheroids. Zbl 0185.18701 Sleeman, B. D. 4 1969 An analogue of Berry’s conjecture for the phase in fractal obstacle scattering. Zbl 0777.35051 Sleeman, B. D.; Chen, Hua 4 1992 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 Small amplitude periodic waves for the FitzHugh-Nagumo equations. Zbl 0503.92008 Sleeman, B. D. 3 1982 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 Complexity in spatio-temporal dynamics. Zbl 0839.58048 Rod, D. L.; Sleeman, B. D. 3 1995 Tumour-induced angiogenesis: a review. Zbl 1078.92040 Plank, M. J.; Sleeman, B. D. 3 2003 Inverse multi-parameter eigenvalue problems for matrices. Zbl 0575.15002 Browne, Patrick J.; Sleeman, B. D. 3 1985 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 Travelling-wave solutions to monostable reaction-diffusion systems of mixed monotone type. Zbl 0945.35044 Takase, H.; Sleeman, B. D. 3 1999 The low-frequency scalar Dirichlet scattering by a general ellipsoid. Zbl 0152.45506 Sleeman, B. D. 3 1967 On parabolic cylinder functions. Zbl 0155.39503 Sleeman, B. D. 3 1968 Regular multiparameter eigenvalue problems with several parameters in the boundary conditions. Zbl 0424.34022 Browne, Patrick J.; Sleeman, B. D. 3 1979 On a discrete logistic model of biology. Zbl 0657.92001 Guo, Ben-Yu.; Sleeman, B. D.; Chen, Sui-Yang 2 1989 Non-existence of global solutions to anisotropic Fujita-type systems of semilinear parabolic equations. Zbl 0965.35080 Takase, H.; Sleeman, B. D. 2 2000 Solid tumour growth: A case study in mathematical biology. Zbl 0869.92009 Sleeman, B. D. 2 1996 High-frequency estimates for the Neumann scattering phase in non-smooth obstacle scattering. Zbl 0972.35159 Chen, Hua; Sleeman, B. D. 2 2001 Linear differential equations with symmetries. Zbl 0926.34001 Churchill, R. C.; Rod, D. L.; Sleeman, B. D. 2 1997 Nonlinear multiparameter eigenvalue problems. Zbl 0509.47047 Browne, Patrick J.; Sleeman, B. D. 2 1981 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 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 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. 2 2002 Comparison principles for strongly coupled reaction-diffusion equations. Zbl 0633.35039 Sleeman, B. D.; Tuma, E. 2 1987 Period-doubling bifurcations leading to chaos in discrete models of biology. Zbl 0656.92003 Sleeman, B. D. 2 1988 FitzHugh’s nerve axon equations. Zbl 0319.92003 Sleeman, B. D. 2 1975 High-frequency approximations to ellipsoidal wave functions. Zbl 0197.33901 Arscott, F. M.; Sleeman, B. D. 2 1970 On diffraction at short wavelengths by a prolate spheroid. Zbl 0189.10203 Sleeman, B. D. 2 1969 A generalized Jaeger \(\mathcal{I}(0,1;t)\) integral, resulting from mathematical modelling in electroanalytical chemistry. Zbl 1505.33002 Bieniasz, L. K.; McKee, S.; Sleeman, B. D. 1 2022 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 8 2012 Mathematical modelling of avascular ellipsoidal tumour growth. Zbl 1233.92030 Dassios, G.; Kariotou, F.; Tsampas, M. N.; Sleeman, B. D. 4 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. 26 2010 The inverse acoustic obstacle scattering problem and its interior dual. Zbl 1183.35275 Sleeman, Brian 1 2009 A mathematical model of doxorubicin penetration through multicellular layers. Zbl 1400.92166 Evans, C. J.; Phillips, R. M.; Jones, P. F.; Loadman, P. M.; Sleeman, B. D.; Twelves, C. J.; Smye, S. W. 1 2009 Multiparameter spectral theory and separation of variables. Zbl 1141.34008 Sleeman, B. D. 9 2008 Mathematical modelling of avascular and vascular tumour growth. Zbl 1178.92031 Jones, P. F.; Sleeman, B. D. 5 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. 36 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. 34 2005 The solvability of some chemotaxis systems. Zbl 1073.35110 Yang, Yin; Chen, Hua; Liu, Weian; Sleeman, B. D. 14 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. 5 2005 On the spread of morphogens. Zbl 1066.92003 Merkin, J. H.; 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. 43 2004 A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins. Zbl 1440.92014 Plank, M. J.; Sleeman, B. D.; Jones, P. F. 13 2004 Differential equations and mathematical biology. Zbl 1020.92001 Jones, D. S.; Sleeman, B. D. 27 2003 A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036 Plank, M. J.; Sleeman, B. D. 24 2003 Modelling tumour-induced angiogenesis. Zbl 1337.92112 Levine, H. A.; Sleeman, B. D. 5 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. 3 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. 14 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 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. 2 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 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 80 2001 Mathematical modeling of the onset of capillary formation initiating angiogenesis. Zbl 0977.92013 Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit 52 2001 Partial differential equations of chemotaxis and angiogenesis. Zbl 0990.35014 Sleeman, B. D.; Levine, H. A. 37 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 Chen, Hua; 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 74 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 Acoustic scattering in dispersions. Zbl 0988.76089 Harlen, Oliver; Qiu, Yiqi; Sleeman, Brian; Povey, Malcolm 1 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. 7 1999 Travelling-wave solutions to monostable reaction-diffusion systems of mixed monotone type. Zbl 0945.35044 Takase, H.; Sleeman, B. D. 3 1999 Aggregation and collapse in a mechanical model of fungal tip growth. Zbl 0972.92005 Regalado, Carlos M.; Sleeman, Brian D. 2 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 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. 129 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. 5 1997 Linear differential equations with symmetries. Zbl 0926.34001 Churchill, R. C.; Rod, D. L.; Sleeman, B. D. 2 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 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. 82 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. 4 1996 Solid tumour growth: A case study in mathematical biology. Zbl 0869.92009 Sleeman, B. D. 2 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. 21 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. 15 1995 Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture. Zbl 0841.35075 Chen, Hua; Sleeman, B. D. 7 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. 10 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. 24 1993 Maximum principles and comparison theorems for semilinear parabolic systems and their applications. Zbl 0791.35006 Lu, G.; Sleeman, B. D. 12 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.; Chen, Hua 4 1992 The interior transmission problem and inverse scattering from inhomogeneous media. Zbl 0733.76065 Rynne, B. P.; Sleeman, B. D. 53 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. 7 1990 Complexity in biological systems and Hamiltonian dynamics. Zbl 0681.92002 Sleeman, B. D. 4 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. 5 1988 Period-doubling bifurcations leading to chaos in discrete models of biology. Zbl 0656.92003 Sleeman, B. D. 2 1988 Inverse multiparameter eigenvalue problems for matrices. III. Zbl 0647.15004 Browne, Patrick J.; 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. 17 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 Ordinary and partial differential equations. Proceedings of the Eighth Conference held at Dundee, Scotland, June 25-29, 1984. Zbl 0564.00005 1 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 Joint spectra for commuting operators. Zbl 0609.47003 Källström, A.; Sleeman, B. D. 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 7 1984 Doubly-periodic Floquet theory. Zbl 0527.34041 Sleeman, B. D.; Smith, P. D.; Wright, G. P. 4 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. 40 1983 Differential equations and mathematical biology. Zbl 0504.92002 Jones, D. S.; Sleeman, B. D. 22 1983 An inverse eigenvalue problem for a general convex domain. Zbl 0517.35080 Sleeman, B. D.; Zayed, E. M. E. 21 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. 8 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 ...and 46 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,542 Authors 45 Sleeman, Brian David 30 Binding, Paul Anthony 25 Wang, Zhian 22 Browne, Patrick J. 21 Zayed, Elsayed M. E. 16 Koyunbakan, Hikmet 16 Yang, Chuanfu 16 Zhao, Kun 14 Kress, Rainer 14 Wang, Yuping 14 Whitt, Ward 12 Shieh, Chung-Tsun 12 Winkler, Michael 10 Chaplain, Mark A. J. 10 Chen, Hua 10 Keskin, Baki 10 Li, Tong 9 Colton, David Lem 9 Liu, Hongyu 8 Byrne, Helen Mary 8 Han, Jiayu 8 Hu, Guanghui 8 Maini, Philip Kumar 8 Yang, Yidu 8 Yılmaz, Emrah Sercan 7 Deng, Keng 7 Dong, Heping 7 Li, Jingyu 7 Pamuk, Serdal 7 Tello, José Ignacio 7 Zeng, Yanni 6 Anderson, Alexander R. A. 6 Anderson, Jeffrey R. 6 Bellomo, Nicola 6 Cakoni, Fioralba 6 Capasso, Vincenzo 6 Chen, Lung-Hui 6 Davidson, Fordyce A. 6 Haddar, Houssem 6 Hou, Qianqian 6 Košir, Tomaž 6 Liu, Weian 6 McElwain, D. L. Sean 6 Negreanu, Mihaela 6 Ozkan, Ahmet Sinan 6 Peng, Hongyun 6 Preziosi, Luigi 6 Rynne, Bryan P. 6 Wang, Haibing 6 Yan, Guozheng 6 Yang, Zhijian 6 Zhang, Hanqin 5 Akbarpoor, Shahrbanoo 5 An, Jing 5 Bi, Hai 5 Bonilla, Luis Lopez 5 Chen, Hong 5 Chen, Miaochao 5 Friedman, Avner 5 Glynn, Peter W. 5 Hillen, Thomas 5 Källström, A. 5 Lee, Kuo-Ming 5 Liu, Qilin 5 Lu, Gang 5 Lu, Shengqi 5 McDougall, Steven R. 5 Painter, Kevin J. 5 Perthame, Benoît 5 Resnick, Sidney Ira 5 Roach, Gary Francis 5 Saad, Khaled Mohammed 5 Zheng, Xiaoming 4 Carpio, Ana 4 Carretero, Manuel 4 Choi, Kyudong 4 Gulsen, Tuba 4 Ivanyshyn, Olha 4 Karageorghis, Andreas 4 Kariotou, Foteini 4 Konstantinov, Aleksandr Yu. 4 Kubo, Akisato 4 Lesnic, Daniel 4 Liu, Jijun 4 Liu, Zhengrong 4 Mu, Chunlai 4 Nakamura, Gen 4 Pang, Peter Y. H. 4 Puhalskii, Anatolii A. 4 Sherratt, Jonathan A. 4 Sini, Mourad 4 Terragni, Filippo 4 Vafeas, Panayiotis 4 Volkmer, Hans W. 4 Wang, Qi 4 Zhao, Xiao-Qiang 4 Zhu, Changjiang 4 Zhu, Neng 4 Zwart, Bert P. 3 Ahn, Jaewook ...and 1,442 more Authors all top 5 Cited in 303 Serials 57 Journal of Mathematical Analysis and Applications 48 Journal of Differential Equations 46 Journal of Theoretical Biology 36 Mathematical Methods in the Applied Sciences 31 Applicable Analysis 27 Journal of Mathematical Biology 25 Applied Mathematics and Computation 21 Mathematical and Computer Modelling 21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Stochastic Processes and their Applications 19 Bulletin of Mathematical Biology 19 Journal of Computational and Applied Mathematics 19 Proceedings of the Royal Society of Edinburgh. Section A. 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Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Functional Analysis 4 Numerical Functional Analysis and Optimization 4 Numerische Mathematik 4 Proceedings of the American Mathematical Society 4 Operations Research Letters 4 Acta Applicandae Mathematicae 4 Physica D 4 Probability Theory and Related Fields 4 SIAM Journal on Matrix Analysis and Applications 4 Journal of Integral Equations and Applications 4 International Journal of Computer Mathematics 4 Stochastic Models 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Complex Analysis and Operator Theory 3 Communications in Mathematical Physics 3 Physica A 3 Journal of Soviet Mathematics 3 Mathematics and Computers in Simulation 3 Mathematische Nachrichten 3 Mathematics of Operations Research 3 Quaestiones Mathematicae 3 Journal of Scientific Computing 3 Applied Mathematical Modelling 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Acta Mathematica Sinica. New Series 3 SIAM Journal on Scientific Computing 3 Journal of Mathematical Sciences (New York) 3 Turkish Journal of Mathematics 3 Chaos 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Extremes 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Communications on Pure and Applied Analysis 3 Complex Variables and Elliptic Equations 3 Computational & Mathematical Methods in Medicine 3 Advances in Mathematical Physics 2 Acta Mechanica 2 Archive for Rational Mechanics and Analysis 2 International Journal of Engineering Science 2 Israel Journal of Mathematics 2 Nonlinearity 2 Physics Letters. A ...and 203 more Serials all top 5 Cited in 47 Fields 586 Partial differential equations (35-XX) 440 Biology and other natural sciences (92-XX) 202 Ordinary differential equations (34-XX) 180 Numerical analysis (65-XX) 147 Probability theory and stochastic processes (60-XX) 110 Operator theory (47-XX) 66 Optics, electromagnetic theory (78-XX) 57 Fluid mechanics (76-XX) 42 Operations research, mathematical programming (90-XX) 41 Mechanics of deformable solids (74-XX) 39 Statistics (62-XX) 33 Dynamical systems and ergodic theory (37-XX) 30 Integral equations (45-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 16 Special functions (33-XX) 16 Computer science (68-XX) 14 Functional analysis (46-XX) 14 Systems theory; control (93-XX) 12 Statistical mechanics, structure of matter (82-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Quantum theory (81-XX) 8 Real functions (26-XX) 8 Difference and functional equations (39-XX) 7 Measure and integration (28-XX) 7 Potential theory (31-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 Integral transforms, operational calculus (44-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 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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