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: 200 Publications since 1966, including 4 Books 10 Contributions as Editor Reviewing Activity: 124 Reviews Biographic References: 1 Publication Co-Authors: 89 Co-Authors with 156 Joint Publications 2,156 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 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 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 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 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) 68 Biology and other natural sciences (92-XX) 58 Ordinary differential equations (34-XX) 22 Operator theory (47-XX) 17 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 142 Publications have been cited 1,458 times in 1,071 Documents Cited by ▼ Year ▼ Some useful functions for functional limit theorems. Zbl 0428.60010Whitt, Ward; Sleeman, B. D. 135 1980 A system of reaction diffusion equations arising in the theory of reinforced random walks. Zbl 0874.35047Levine, Howard A.; Sleeman, Brian D. 112 1997 Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007Browne, Patrick J.; Sleeman, B. D. 68 1996 Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Zbl 1323.92029Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit 68 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 0986.92016Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit 65 2000 Mathematical modeling of the onset of capillary formation initiating angiogenesis. Zbl 0977.92013Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit 52 2001 The interior transmission problem and inverse scattering from inhomogeneous media. Zbl 0733.76065Rynne, B. P.; Sleeman, B. D. 51 1991 Multiparameter spectral theory in Hilbert space. Zbl 0396.47006Sleeman, B. D. 46 1978 Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086Colton, David; Sleeman, B. D. 38 1983 Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059Johansson, Tomas; Sleeman, Brian D. 36 2007 Lattice and non-lattice models of tumour angiogenesis. Zbl 1334.92206Plank, M. J.; Sleeman, B. D. 34 2004 The existence and stability of spike patterns in a chemotaxis model. Zbl 1073.35118Sleeman, B. D.; Ward, Michael J.; Wei, J. C. 33 2005 Partial differential equations of chemotaxis and angiogenesis. Zbl 0990.35014Sleeman, B. D.; Levine, H. A. 32 2001 Differential equations and mathematical biology. 2nd ed. Zbl 1298.92003Jones, D. S.; Plank, M. J.; Sleeman, B. D. 24 2010 Differential equations and mathematical biology. Zbl 1020.92001Jones, D. S.; Sleeman, B. D. 24 2003 Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory. Zbl 0770.92018Chaplain, M. A. J.; Sleeman, B. D. 22 1993 An inverse eigenvalue problem for a general convex domain. Zbl 0517.35080Sleeman, B. D.; Zayed, E. M. E. 21 1983 Multiparameter spectral theory in Hilbert space. Zbl 0396.47005Sleeman, B. D. 21 1978 Differential equations and mathematical biology. Zbl 0504.92002Jones, D. S.; Sleeman, B. D. 21 1983 Wave front propagation and its failure in coupled systems of discrete bistable cells modelled by FitzHugh-Nagumo dynamics. Zbl 0885.92016Anderson, A. R. A.; Sleeman, B. D. 21 1995 A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036Plank, M. J.; Sleeman, B. D. 21 2003 Solvability of a linear operator system. Zbl 0335.47008Kaellstroem, A.; Sleeman, B. D. 18 1976 A left definite multiparameter eigenvalue problem in ordinary differential equations. Zbl 0333.34019Källström, A.; Sleeman, B. D. 17 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 0591.35010Levine, H. A.; Sleeman, B. D. 16 1985 Nonlinear multiparameter Sturm-Liouville problems. Zbl 0386.34028Browne, Patrick J.; Sleeman, B. D. 16 1979 A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems. Zbl 0890.34022Browne, Patrick J.; Sleeman, B. D. 14 1997 The solvability of some chemotaxis systems. Zbl 1073.35110Yang, Yin; Chen, Hua; Liu, Weian; Sleeman, B. D. 13 2005 The inverse problem of acoustic scattering. Zbl 0496.76073Sleeman, B. D. 13 1982 A mathematical analysis of a model for tumour angiogenesis. Zbl 0830.92013Chaplain, M. A. J.; Giles, Susan M.; Sleeman, B. D.; Jarvis, R. J. 13 1995 The two parameter Sturm-Liouville problem for ordinary differential equations. Zbl 0235.34052Sleeman, B. D. 13 1971 Tumour induced angiogenesis as a reinforced random walk: Modelling capillary network formation without endothelial cell proliferation. Zbl 1021.92016Sleeman, B. D.; Wallis, I. P. 12 2002 Maximum principles and comparison theorems for semilinear parabolic systems and their applications. Zbl 0791.35006Lu, G.; Sleeman, B. D. 11 1993 Non-existence of global solutions to systems of semi-linear parabolic equations. Zbl 0816.35060Lu, Gang; Sleeman, B. D. 10 1993 Non-linear multiparameter eigenvalue problems for ordinary differential equations. Zbl 0444.34028Browne, P. J.; Sleeman, B. D. 10 1980 Weak travelling fronts for population models with density dependent dispersion. Zbl 0653.92015Grindrod, P.; Sleeman, B. D. 10 1987 Trace formulae for the eigenvalues of the Laplacian. Zbl 0551.35066Sleeman, B. D.; Zayed, E. M. E. 9 1984 Subsolutions and supersolutions to systems of parabolic equations with applications to generalized Fujita-type systems. Zbl 0807.35061Lu, G.; Sleeman, B. D. 9 1994 Multiparameter spectral theory and separation of variables. Zbl 1141.34008Sleeman, B. D. 9 2008 Completeness and expansion theorems for a two-parameter eigenvalue problem in ordinary differential equations using variational principles. Zbl 0261.34018Sleeman, B. D. 9 1973 Multiparameter spectral theory. Zbl 0364.47002Källström, A.; Sleeman, B. D. 9 1977 A numerical technique for multiparameter eigenvalue problems. Zbl 0511.65024Browne, Patrick J.; Sleeman, B. D. 8 1982 Singular linear differential operators with many parameters. Zbl 0323.34017Sleeman, B. D. 8 1973 A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation. Zbl 0963.92025Sleeman, B. D.; Anderson, A. R. A.; Chaplan, M. A. J. 8 1999 A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins. Zbl 1440.92014Plank, M. J.; Sleeman, B. D.; Jones, P. F. 8 2004 A model of a myelinated nerve axon: threshold behaviour and propagation. Zbl 0579.92004Grindrod, P.; Sleeman, B. D. 7 1985 On uniqueness of an inverse problem in electromagnetic obstacle scattering for an impedance cylinder. Zbl 1241.78026Nakamura, Gen; Sleeman, Brian D.; Wang, Haibing 7 2012 A mathematical model for the growth and classification of a solid tumor: A new approach via nonlinear elasticity theory using strain-energy functions. Zbl 0761.92018Chaplain, M. A. J.; Sleeman, B. D. 6 1992 Modelling tumour-induced angiogenesis. Zbl 1337.92112Levine, H. A.; Sleeman, B. D. 6 2003 An approximation property of importance in inverse scattering theory. Zbl 0992.35115Colton, David; Sleeman, Brian D. 6 2001 Bifurcation studies in reaction-diffusion. Zbl 0555.65073Manoranjan, V. S.; Mitchell, A. R.; Sleeman, B. D.; Kuo, Penyu 6 1984 On FitzHugh’s nerve axon equations. Zbl 0299.92005Green, M. W.; Sleeman, B. D. 6 1974 Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture. Zbl 0841.35075Chen, Hua; Sleeman, B. D. 6 1995 Multi-parameter eigenvalue problems in ordinary differential equations. Zbl 0352.34025Sleeman, B. D. 6 1971 The two-parameter Sturm-Liouville problem for ordinary differential equations. II. Zbl 0242.34021Sleeman, B. D. 6 1972 A mathematical model for the spread of morphogens with density dependent chemosensitivity. Zbl 1078.92010Merkin, J. H.; Needham, D. J.; Sleeman, B. D. 5 2005 On the spectral theory of operator bundles. II. Zbl 0411.47018Roach, G. F.; Sleeman, B. D. 5 1979 An abstract relation for multiparameter eigenvalue problems. Zbl 0334.34027Källström, A.; Sleeman, B. D. 5 1976 Travelling waves and pattern formation in a model for fungal development. Zbl 0880.92007Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 5 1997 An analogue of Berry’s conjecture for the phase in fractal obstacle scattering. Zbl 0777.35051Sleeman, B. D.; Chen, Hua 4 1992 On the spread of morphogens. Zbl 1066.92003Merkin, J. H.; Sleeman, B. D. 4 2005 Klein oscillation theorems for multiparameter eigenvalue problems in ordinary differential equations. Zbl 0428.34028Sleeman, B. D. 4 1979 An abstract multiparameter spectral theory. Zbl 0499.47008Binding, P. A.; Kaellstroem, A.; Sleeman, B. D. 4 1982 Left-definite multiparameter eigenvalue problems. Zbl 0311.34029Sleeman, B. D. 4 1975 Large-scale behavior of fungal mycelia. Zbl 0876.92008Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 4 1996 A mathematical model for the production and secretion of tumour angiogenesis factor in tumours. Zbl 0711.92010Chaplain, M. A. J.; Sleeman, B. D. 4 1990 Permanence in Kolmogorov competition models with diffusion. Zbl 0789.35087Zhao, X.-Q.; Sleeman, B. D. 4 1993 Acoustic propagation in dispersions and the geometric theory of diffraction. Zbl 1126.35348Harlen, O. G.; Holmes, M. J.; Povey, M. J. W.; Sleeman, B. D. 4 2003 Analytic perturbations of multiparameter eigenvalue problems. Zbl 0438.47017Browne, Patrick J.; Sleeman, B. D. 4 1979 Integral representations associated with high-frequency non-symmetric scattering by prolate spheroids. Zbl 0185.18701Sleeman, B. D. 4 1969 On the spectral theory of operator bundles. Zbl 0373.47001Roach, G. F.; Sleeman, B. D. 4 1977 Tumour-induced angiogenesis: a review. Zbl 1078.92040Plank, M. J.; Sleeman, B. D. 3 2003 Mathematical modelling of avascular and vascular tumour growth. Zbl 1178.92031Jones, P. F.; Sleeman, B. D. 3 2008 Regular multiparameter eigenvalue problems with several parameters in the boundary conditions. Zbl 0424.34022Browne, Patrick J.; Sleeman, B. D. 3 1979 Complexity in biological systems and Hamiltonian dynamics. Zbl 0681.92002Sleeman, B. D. 3 1989 Inverse multi-parameter eigenvalue problems for matrices. Zbl 0575.15002Browne, Patrick J.; Sleeman, B. D. 3 1985 Spatial effects in a two-dimensional model of the budworm-balsam fir ecosystem. Zbl 0618.92020Ben-Yu, G.; Mitchell, A. R.; Sleeman, B. D. 3 1986 Small amplitude periodic waves for the FitzHugh-Nagumo equations. Zbl 0503.92008Sleeman, B. D. 3 1982 Mathematical modelling of tumour angiogenesis and the action of angiostatin as a protease inhibitor. Zbl 1052.92030Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit 3 2002 Complexity in spatio-temporal dynamics. Zbl 0839.58048Rod, D. L.; Sleeman, B. D. 3 1995 Travelling-wave solutions to monostable reaction-diffusion systems of mixed monotone type. Zbl 0945.35044Takase, H.; Sleeman, B. D. 3 1999 Stable periodic solutions in nonlinear difference equations. Zbl 0646.65064Sleeman, B. D.; Griffiths, D. F.; Mitchell, A. R.; Smith, P. D. 3 1988 The low-frequency scalar Dirichlet scattering by a general ellipsoid. Zbl 0152.45506Sleeman, B. D. 3 1967 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 0282.65068Hargrave, B. A.; Sleeman, B. D. 3 1974 Mathematical modelling of avascular ellipsoidal tumour growth. Zbl 1233.92030Dassios, G.; Kariotou, F.; Tsampas, M. N.; Sleeman, B. D. 3 2012 Spatial patterning of spruce budworm in circular region. Zbl 0737.92019Guo, Benyu; Mitchell, A. R.; Sleeman, B. D. 2 1991 Linear differential equations with symmetries. Zbl 0926.34001Churchill, R. C.; Rod, D. L.; Sleeman, B. D. 2 1997 Erratum: “Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma”. Zbl 1334.92038Levine, 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 0972.35159Chen, Hua; Sleeman, B. D. 2 2001 Bifurcation from eigenvalues in non-linear multiparameter Sturm-Liouville problems. Zbl 0421.34024Browne, Patrick J.; Sleeman, B. D. 2 1980 Stability regions for multi-parameter systems of periodic second order ordinary differential equations. Zbl 0422.34064Browne, Patrick J.; Sleeman, B. D. 2 1979 Instability of certain traveling wave solutions to the Fitz Hugh-Nagumo nerve axon equations. Zbl 0429.35066Sleeman, B. D. 2 1980 On a discrete logistic model of biology. Zbl 0657.92001Guo, Ben-Yu.; Sleeman, B. D.; Chen, Sui-Yang 2 1989 Ordinary and partial differential equations. Proceedings of the Seventh Conference Held at Dundee, Scotland, March 29 - April 2, 1982. Zbl 0488.00008 2 1982 Nonlinear multiparameter eigenvalue problems. Zbl 0509.47047Browne, Patrick J.; Sleeman, B. D. 2 1981 Doubly-periodic Floquet theory. Zbl 0527.34041Sleeman, B. D.; Smith, P. D.; Wright, G. P. 2 1984 FitzHugh’s nerve axon equations. Zbl 0319.92003Sleeman, B. D. 2 1975 Solid tumour growth: A case study in mathematical biology. Zbl 0869.92009Sleeman, B. D. 2 1996 Non-existence of global solutions to anisotropic Fujita-type systems of semilinear parabolic equations. Zbl 0965.35080Takase, H.; Sleeman, B. D. 2 2000 Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries. Zbl 0903.35047Chen, Hua; Sleeman, Brian D. 2 1998 Estimates for the remainder term in the asymptotics of the counting function for domains with irregular boundaries. Zbl 0948.35092Chen, H.; Sleeman, B. D. 2 1997 A generalized Jaeger \(\mathcal{I}(0,1;t)\) integral, resulting from mathematical modelling in electroanalytical chemistry. Zbl 1505.33002Bieniasz, L. K.; McKee, S.; Sleeman, B. D. 1 2022 Interior transmission eigenvalues of a rectangle. Zbl 1334.35193Sleeman, B. D.; Stocks, D. C. 1 2016 On uniqueness of an inverse problem in electromagnetic obstacle scattering for an impedance cylinder. Zbl 1241.78026Nakamura, Gen; Sleeman, Brian D.; Wang, Haibing 7 2012 Mathematical modelling of avascular ellipsoidal tumour growth. Zbl 1233.92030Dassios, G.; Kariotou, F.; Tsampas, M. N.; Sleeman, B. D. 3 2012 High frequency scattering by a classically invisible body. Zbl 1257.78010Lakshtanov, E.; Sleeman, B. D.; Vainberg, B. 1 2012 Differential equations and mathematical biology. 2nd ed. Zbl 1298.92003Jones, D. S.; Plank, M. J.; Sleeman, B. D. 24 2010 The inverse acoustic obstacle scattering problem and its interior dual. Zbl 1183.35275Sleeman, Brian 1 2009 A mathematical model of doxorubicin penetration through multicellular layers. Zbl 1400.92166Evans, 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 1141.34008Sleeman, B. D. 9 2008 Mathematical modelling of avascular and vascular tumour growth. Zbl 1178.92031Jones, P. F.; Sleeman, B. D. 3 2008 Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059Johansson, Tomas; Sleeman, Brian D. 36 2007 Mathematical aspects of modelling tumour angiogenesis. Zbl 1100.92034Sleeman, B. D. 1 2006 The existence and stability of spike patterns in a chemotaxis model. Zbl 1073.35118Sleeman, B. D.; Ward, Michael J.; Wei, J. C. 33 2005 The solvability of some chemotaxis systems. Zbl 1073.35110Yang, Yin; Chen, Hua; Liu, Weian; Sleeman, B. D. 13 2005 A mathematical model for the spread of morphogens with density dependent chemosensitivity. Zbl 1078.92010Merkin, J. H.; Needham, D. J.; Sleeman, B. D. 5 2005 On the spread of morphogens. Zbl 1066.92003Merkin, J. H.; Sleeman, B. D. 4 2005 Acoustic propagation in dispersions in the long wavelength limit. Zbl 1141.76061Pinfield, V. J.; Harlen, O. G.; Povey, M. J. W.; Sleeman, B. D. 1 2005 Lattice and non-lattice models of tumour angiogenesis. Zbl 1334.92206Plank, M. J.; Sleeman, B. D. 34 2004 A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins. Zbl 1440.92014Plank, M. J.; Sleeman, B. D.; Jones, P. F. 8 2004 Differential equations and mathematical biology. Zbl 1020.92001Jones, D. S.; Sleeman, B. D. 24 2003 A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036Plank, M. J.; Sleeman, B. D. 21 2003 Modelling tumour-induced angiogenesis. Zbl 1337.92112Levine, H. A.; Sleeman, B. D. 6 2003 Acoustic propagation in dispersions and the geometric theory of diffraction. Zbl 1126.35348Harlen, O. G.; Holmes, M. J.; Povey, M. J. W.; Sleeman, B. D. 4 2003 Tumour-induced angiogenesis: a review. Zbl 1078.92040Plank, M. J.; Sleeman, B. D. 3 2003 Tumour induced angiogenesis as a reinforced random walk: Modelling capillary network formation without endothelial cell proliferation. Zbl 1021.92016Sleeman, B. D.; Wallis, I. P. 12 2002 Mathematical modelling of tumour angiogenesis and the action of angiostatin as a protease inhibitor. Zbl 1052.92030Levine, 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 1334.92038Levine, 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 0996.35008Takase, H.; Sleeman, B. D. 1 2002 A mathematical model of an In Vitro experiment to investigate endothelial cell migration. Zbl 1052.92022Plank, M. J.; Sleeman, B. D.; Jones, P. F. 1 2002 Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Zbl 1323.92029Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit 68 2001 Mathematical modeling of the onset of capillary formation initiating angiogenesis. Zbl 0977.92013Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit 52 2001 Partial differential equations of chemotaxis and angiogenesis. Zbl 0990.35014Sleeman, B. D.; Levine, H. A. 32 2001 An approximation property of importance in inverse scattering theory. Zbl 0992.35115Colton, David; Sleeman, Brian D. 6 2001 High-frequency estimates for the Neumann scattering phase in non-smooth obstacle scattering. Zbl 0972.35159Chen, Hua; Sleeman, B. D. 2 2001 A low frequency potential scattering description of acoustic propagation in dispersions. Zbl 0988.35127Harlen, 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 0986.92016Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit 65 2000 Non-existence of global solutions to anisotropic Fujita-type systems of semilinear parabolic equations. Zbl 0965.35080Takase, H.; Sleeman, B. D. 2 2000 Acoustic scattering in dispersions. Zbl 0988.76089Harlen, 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 0963.92025Sleeman, 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 0945.35044Takase, H.; Sleeman, B. D. 3 1999 Velocity and stability of solitary planar travelling wave solutions of intracellular [Ca]\(^{2+}\). Zbl 1323.92082Chopra, 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 0972.92005Regalado, Carlos M.; Sleeman, Brian D. 1 1999 Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries. Zbl 0903.35047Chen, Hua; Sleeman, Brian D. 2 1998 Target patterns and spiral waves in reaction-diffusion systems with limit cycle kinetics and weak diffusion. Zbl 0928.92001Zhao, Xiaoqiang; Sleeman, B. D. 1 1998 A system of reaction diffusion equations arising in the theory of reinforced random walks. Zbl 0874.35047Levine, Howard A.; Sleeman, Brian D. 112 1997 A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems. Zbl 0890.34022Browne, Patrick J.; Sleeman, B. D. 14 1997 Travelling waves and pattern formation in a model for fungal development. Zbl 0880.92007Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 5 1997 Linear differential equations with symmetries. Zbl 0926.34001Churchill, 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 0948.35092Chen, H.; Sleeman, B. D. 2 1997 Travelling waves in a reaction-diffusion system modelling fungal mycelia. Zbl 0885.92038Davidson, F. A.; Sleeman, B. D.; Crawford, J. W. 1 1997 Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007Browne, Patrick J.; Sleeman, B. D. 68 1996 Large-scale behavior of fungal mycelia. Zbl 0876.92008Davidson, 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 0869.92009Sleeman, B. D. 2 1996 Wave front propagation and its failure in coupled systems of discrete bistable cells modelled by FitzHugh-Nagumo dynamics. Zbl 0885.92016Anderson, A. R. A.; Sleeman, B. D. 21 1995 A mathematical analysis of a model for tumour angiogenesis. Zbl 0830.92013Chaplain, M. A. J.; Giles, Susan M.; Sleeman, B. D.; Jarvis, R. J. 13 1995 Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture. Zbl 0841.35075Chen, Hua; Sleeman, B. D. 6 1995 Complexity in spatio-temporal dynamics. Zbl 0839.58048Rod, D. L.; Sleeman, B. D. 3 1995 Asymptotic behavior of quasi-competitive species defined by Lotka-Volterra dynamics. Zbl 0853.34034Lu, Gang; Sleeman, B. D. 1 1995 Subsolutions and supersolutions to systems of parabolic equations with applications to generalized Fujita-type systems. Zbl 0807.35061Lu, G.; Sleeman, B. D. 9 1994 Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory. Zbl 0770.92018Chaplain, M. A. J.; Sleeman, B. D. 22 1993 Maximum principles and comparison theorems for semilinear parabolic systems and their applications. Zbl 0791.35006Lu, G.; Sleeman, B. D. 11 1993 Non-existence of global solutions to systems of semi-linear parabolic equations. Zbl 0816.35060Lu, Gang; Sleeman, B. D. 10 1993 Permanence in Kolmogorov competition models with diffusion. Zbl 0789.35087Zhao, X.-Q.; Sleeman, B. D. 4 1993 A note on the characterisation of eigencurves for certain two parameter eigenvalue problems in ordinary differential equations. Zbl 0778.34065Browne, Patrick J.; Sleeman, B. D. 1 1993 Asymptotic estimates for eigenvalues of right definite two parameter Sturm-Liouville problems. Zbl 0804.34028Browne, 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 0761.92018Chaplain, M. A. J.; Sleeman, B. D. 6 1992 An analogue of Berry’s conjecture for the phase in fractal obstacle scattering. Zbl 0777.35051Sleeman, B. D.; Chen, Hua 4 1992 The interior transmission problem and inverse scattering from inhomogeneous media. Zbl 0733.76065Rynne, B. P.; Sleeman, B. D. 51 1991 Spatial patterning of spruce budworm in circular region. Zbl 0737.92019Guo, Benyu; Mitchell, A. R.; Sleeman, B. D. 2 1991 Spectral decomposition of uniformly elliptic multiparameter eigenvalue problems. Zbl 0783.47026Binding, P. A.; Sleeman, B. D. 1 1991 A mathematical model for the production and secretion of tumour angiogenesis factor in tumours. Zbl 0711.92010Chaplain, M. A. J.; Sleeman, B. D. 4 1990 Complexity in biological systems and Hamiltonian dynamics. Zbl 0681.92002Sleeman, B. D. 3 1989 On a discrete logistic model of biology. Zbl 0657.92001Guo, Ben-Yu.; Sleeman, B. D.; Chen, Sui-Yang 2 1989 Stable periodic solutions in nonlinear difference equations. Zbl 0646.65064Sleeman, B. D.; Griffiths, D. F.; Mitchell, A. R.; Smith, P. D. 3 1988 Period-doubling bifurcations leading to chaos in discrete models of biology. Zbl 0656.92003Sleeman, B. D. 1 1988 Inverse multiparameter eigenvalue problems for matrices. III. Zbl 0647.15004Browne, Patrick J.; Sleeman, B. D. 1 1988 Weak travelling fronts for population models with density dependent dispersion. Zbl 0653.92015Grindrod, P.; Sleeman, B. D. 10 1987 Comparison principles for strongly coupled reaction-diffusion equations. Zbl 0633.35039Sleeman, B. D.; Tuma, E. 2 1987 Spatial effects in a two-dimensional model of the budworm-balsam fir ecosystem. Zbl 0618.92020Ben-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 0591.35010Levine, H. A.; Sleeman, B. D. 16 1985 A model of a myelinated nerve axon: threshold behaviour and propagation. Zbl 0579.92004Grindrod, P.; Sleeman, B. D. 7 1985 Inverse multi-parameter eigenvalue problems for matrices. Zbl 0575.15002Browne, Patrick J.; Sleeman, B. D. 3 1985 Spatial patterning of the spruce budworm in the presence of defoliation. Zbl 0588.35051Yu, Guo Ben; Sleeman, B. D. 1 1985 Homoclinic solutions for coupled systems of differential equations. Zbl 0595.34039Grindrod, P.; Sleeman, B. D. 1 1985 Bounds for wave-front solutions to the FitzHugh-Nagumo equations. Zbl 0603.35046Sleeman, B. D.; Tuma, E. 1 1985 Joint spectra for commuting operators. Zbl 0609.47003Källström, A.; Sleeman, B. D. 1 1985 Trace formulae for the eigenvalues of the Laplacian. Zbl 0551.35066Sleeman, B. D.; Zayed, E. M. E. 9 1984 Bifurcation studies in reaction-diffusion. Zbl 0555.65073Manoranjan, V. S.; Mitchell, A. R.; Sleeman, B. D.; Kuo, Penyu 6 1984 Doubly-periodic Floquet theory. Zbl 0527.34041Sleeman, B. D.; Smith, P. D.; Wright, G. P. 2 1984 Comparison principles in the analysis of reaction-diffusion systems modelling unmyelinated nerve fibres. Zbl 0609.92016Grindrod, P.; Sleeman, B. D. 1 1984 On exact solutions of a class of reaction-diffusion equations. Zbl 0562.35046Sleeman, B. D.; Tuma, E. 1 1984 Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086Colton, David; Sleeman, B. D. 38 1983 An inverse eigenvalue problem for a general convex domain. Zbl 0517.35080Sleeman, B. D.; Zayed, E. M. E. 21 1983 Differential equations and mathematical biology. Zbl 0504.92002Jones, D. S.; Sleeman, B. D. 21 1983 Bloch waves and multiparameter spectral theory. Zbl 0534.35073Rynne, B. P.; Sleeman, B. D. 1 1983 The inverse problem of acoustic scattering. Zbl 0496.76073Sleeman, B. D. 13 1982 A numerical technique for multiparameter eigenvalue problems. Zbl 0511.65024Browne, Patrick J.; Sleeman, B. D. 8 1982 An abstract multiparameter spectral theory. Zbl 0499.47008Binding, P. A.; Kaellstroem, A.; Sleeman, B. D. 4 1982 Small amplitude periodic waves for the FitzHugh-Nagumo equations. Zbl 0503.92008Sleeman, 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 2 1982 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,381 Authors 44 Sleeman, Brian David 30 Binding, Paul Anthony 24 Wang, Zhian 22 Browne, Patrick J. 21 Zayed, Elsayed M. E. 16 Zhao, Kun 15 Yang, Chuanfu 14 Koyunbakan, Hikmet 14 Kress, Rainer 14 Whitt, Ward 12 Winkler, Michael 11 Wang, Yuping 10 Chaplain, Mark A. J. 10 Chen, Hua 10 Li, Tong 9 Colton, David Lem 9 Shieh, Chung-Tsun 8 Han, Jiayu 8 Keskin, Baki 8 Liu, Hongyu 8 Maini, Philip Kumar 8 Pamuk, Serdal 8 Yang, Yidu 8 Yılmaz, Emrah Sercan 7 Bellomo, Nicola 7 Byrne, Helen Mary 7 Deng, Keng 7 Dong, Heping 7 Hu, Guanghui 6 Anderson, Jeffrey R. 6 Cakoni, Fioralba 6 Chen, Lung-Hui 6 Davidson, Fordyce A. 6 Haddar, Houssem 6 Košir, Tomaž 6 Li, Jingyu 6 Liu, Weian 6 Ozkan, Ahmet Sinan 6 Peng, Hongyun 6 Rynne, Bryan P. 6 Tello, José Ignacio 6 Yang, Zhijian 6 Zeng, Yanni 6 Zhang, Hanqin 5 An, Jing 5 Anderson, Alexander R. A. 5 Bi, Hai 5 Chen, Hong 5 Friedman, Avner 5 Glynn, Peter W. 5 Hillen, Thomas 5 Hou, Qianqian 5 Källström, A. 5 Lee, Kuo-Ming 5 Lu, Gang 5 McElwain, D. L. Sean 5 Negreanu, Mihaela 5 Painter, Kevin J. 5 Perthame, Benoît 5 Resnick, Sidney Ira 5 Roach, Gary Francis 5 Wang, Haibing 5 Yan, Guozheng 5 Zheng, Xiaoming 4 Akbarpoor, Shahrbanoo 4 Bellouquid, Abdelghani 4 Bonilla, Luis Lopez 4 Capasso, Vincenzo 4 Carpio, Ana 4 Chen, Miaochao 4 Choi, Kyudong 4 Ivanyshyn, Olha 4 Karageorghis, Andreas 4 Kariotou, Foteini 4 Konstantinov, Aleksandr Yu. 4 Lesnic, Daniel 4 Liu, Jijun 4 Liu, Qilin 4 Liu, Zhengrong 4 Lu, Shengqi 4 McDougall, Steven R. 4 Pang, Peter Y. H. 4 Preziosi, Luigi 4 Puhalskii, Anatolii A. 4 Saad, Khaled Mohammed 4 Sherratt, Jonathan A. 4 Sini, Mourad 4 Volkmer, Hans 4 Wang, Qi 4 Zhao, Xiao-Qiang 4 Zhu, Changjiang 4 Zhu, Neng 4 Zwart, Bert P. 3 Ahn, Jaewook 3 Amodio, Pierluigi 3 Bet, Gianmarco 3 Bilbault, Jean-Marie 3 Buterin, Sergey Alexandrovich 3 Carretero, Manuel 3 Chapko, Roman ...and 1,281 more Authors all top 5 Cited in 284 Serials 55 Journal of Mathematical Analysis and Applications 46 Journal of Differential Equations 31 Applicable Analysis 28 Journal of Theoretical Biology 27 Journal of Mathematical Biology 26 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 24 Applied Mathematics and Computation 21 Mathematical and Computer Modelling 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Stochastic Processes and their Applications 19 Mathematical Methods in the Applied Sciences 19 Journal of Computational and Applied Mathematics 19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 19 Inverse Problems in Science and Engineering 18 Bulletin of Mathematical Biology 18 Queueing Systems 16 Applied Mathematics Letters 14 Computers & Mathematics with Applications 14 Discrete and Continuous Dynamical Systems. Series B 13 Mathematical Biosciences 12 Journal of Inverse and Ill-Posed Problems 12 Nonlinear Analysis. Real World Applications 11 Proceedings of the Edinburgh Mathematical Society. Series II 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 9 Inverse Problems and Imaging 8 Journal of Mathematical Physics 8 Chaos, Solitons and Fractals 8 Acta Mathematicae Applicatae Sinica. English Series 8 Boundary Value Problems 7 Inverse Problems 7 The Annals of Probability 7 Mathematical Biosciences and Engineering 6 Journal of Applied Probability 6 Communications in Partial Differential Equations 6 Electronic Journal of Probability 6 Abstract and Applied Analysis 6 Acta Mathematica Sinica. 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Mathematics 4 Journal of Engineering Mathematics 4 Journal of Functional Analysis 4 Numerical Functional Analysis and Optimization 4 Numerische Mathematik 4 Proceedings of the American Mathematical Society 4 Results in Mathematics 4 Operations Research Letters 4 Applied Numerical Mathematics 4 Probability Theory and Related Fields 4 Journal of Integral Equations and Applications 4 European Journal of Applied Mathematics 4 Applications of Mathematics 4 International Journal of Computer Mathematics 4 Stochastic Models 3 Communications in Mathematical Physics 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Soviet Mathematics 3 Mathematische Nachrichten 3 Mathematics of Operations Research 3 Quaestiones Mathematicae 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 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 Wuhan University Journal of Natural Sciences (WUJNS) 3 Extremes 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Complex Variables and Elliptic Equations 3 Complex Analysis and Operator Theory 3 Computational & Mathematical Methods in Medicine 3 Advances in Mathematical Physics 2 Acta Mechanica 2 Archive for Rational Mechanics and Analysis 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 Mathematische Annalen ...and 184 more Serials all top 5 Cited in 47 Fields 530 Partial differential equations (35-XX) 389 Biology and other natural sciences (92-XX) 177 Ordinary differential equations (34-XX) 167 Numerical analysis (65-XX) 143 Probability theory and stochastic processes (60-XX) 102 Operator theory (47-XX) 63 Optics, electromagnetic theory (78-XX) 50 Fluid mechanics (76-XX) 41 Operations research, mathematical programming (90-XX) 38 Mechanics of deformable solids (74-XX) 36 Statistics (62-XX) 28 Dynamical systems and ergodic theory (37-XX) 27 Integral equations (45-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 14 Computer science (68-XX) 14 Systems theory; control (93-XX) 13 Special functions (33-XX) 13 Functional analysis (46-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Real functions (26-XX) 7 Potential theory (31-XX) 7 Quantum theory (81-XX) 6 Measure and integration (28-XX) 6 Difference and functional equations (39-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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