Edit Profile Sleeman, Brian D. Compute Distance To: Compute Author ID: sleeman.brian-d Published as: Sleeman, B. D.; Sleeman, Brian; Sleeman, Brian D. Homepage: http://www1.maths.leeds.ac.uk/applied/staff.dir/sleeman/ External Links: MGP · Wikidata · dblp · GND Documents Indexed: 208 Publications since 1966, including 14 Books Reviewing Activity: 124 Reviews 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 Roach, Gary F. 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 Pinfield, Valerie J. 2 Qiu, Yiqi 2 Rayner, A. D. M. 2 Ritz, Karl 2 Rod, David L. 2 Rynne, Bryan P. 2 Smith, Paul Denis 2 Smith, Peter D. 2 Zayed, Elsayed M. E. 2 Zhao, Xiao-Qiang 1 Ben-Yu, G. 1 Bradley, John S. 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 Ibrahim, R. N. 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 Michael, I. M. 1 Murray, B. A. 1 Nakamura, Gen 1 Needham, David John 1 Nimmo, H. R. 1 Ockendon, John R. 1 Phillips, R. M. 1 Povey, Malcolm 1 Regalado, Carlos M. 1 Sklyanin, Evgeny K. 1 Smye, S. W. 1 Stocks, D. C. 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 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 Journal of Computational and Applied Mathematics 2 Quaestiones Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Mathematical and Computer Modelling 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 European Journal of Applied Mathematics 1 Differential and Integral Equations 1 Buletinul Institutului Politehnic din Iaşi. Secţia 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 all top 5 Fields 106 Partial differential equations (35-XX) 67 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) 9 General and overarching topics; collections (00-XX) 9 Numerical analysis (65-XX) 6 Special functions (33-XX) 6 Optics, electromagnetic theory (78-XX) 5 History and biography (01-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of deformable solids (74-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 Calculus of variations and optimal control; optimization (49-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-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 137 Publications have been cited 1,309 times in 934 Documents Cited by ▼ Year ▼ Some useful functions for functional limit theorems. Zbl 0428.60010Whitt, Ward; Sleeman, B. D. 120 1980 A system of reaction diffusion equations arising in the theory of reinforced random walks. Zbl 0874.35047Levine, Howard A.; Sleeman, Brian D. 86 1997 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 Multiparameter spectral theory in Hilbert space. Zbl 0396.47006Sleeman, B. D. 56 1978 Inverse nodal problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. Zbl 0860.34007Browne, Patrick J.; Sleeman, B. D. 55 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 0986.92016Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit 52 2000 Mathematical modeling of the onset of capillary formation initiating angiogenesis. Zbl 0977.92013Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit 51 2001 The interior transmission problem and inverse scattering from inhomogeneous media. Zbl 0733.76065Rynne, B. P.; Sleeman, B. D. 46 1991 Uniqueness theorems for the inverse problem of acoustic scattering. Zbl 0539.76086Colton, David; Sleeman, B. D. 34 1983 Lattice and non-lattice models of tumour angiogenesis. Zbl 1334.92206Plank, M. J.; Sleeman, B. D. 33 2004 Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059Johansson, Tomas; Sleeman, Brian D. 31 2007 Partial differential equations of chemotaxis and angiogenesis. Zbl 0990.35014Sleeman, B. D.; Levine, H. A. 31 2001 The existence and stability of spike patterns in a chemotaxis model. Zbl 1073.35118Sleeman, B. D.; Ward, Michael J.; Wei, J. C. 26 2005 A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036Plank, M. J.; Sleeman, B. D. 21 2003 An inverse eigenvalue problem for a general convex domain. Zbl 0517.35080Sleeman, 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 0885.92016Anderson, A. R. A.; Sleeman, B. D. 19 1995 Multiparameter spectral theory in Hilbert space. Zbl 0396.47005Sleeman, B. D. 19 1978 Differential equations and mathematical biology. Zbl 1020.92001Jones, D. S.; Sleeman, B. D. 18 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. 18 1993 Solvability of a linear operator system. Zbl 0335.47008Kaellstroem, A.; Sleeman, B. D. 18 1976 Differential equations and mathematical biology. Zbl 0504.92002Jones, D. S.; Sleeman, B. D. 17 1983 A left definite multiparameter eigenvalue problem in ordinary differential equations. Zbl 0333.34019Källström, A.; Sleeman, B. D. 17 1976 Nonlinear multiparameter Sturm-Liouville problems. Zbl 0386.34028Browne, 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 0591.35010Levine, H. A.; Sleeman, B. D. 14 1985 Tumour induced angiogenesis as a reinforced random walk: Modelling capillary network formation without endothelial cell proliferation. Zbl 1021.92016Sleeman, B. D.; Wallis, I. P. 13 2002 The inverse problem of acoustic scattering. Zbl 0496.76073Sleeman, B. D. 13 1982 The two parameter Sturm-Liouville problem for ordinary differential equations. Zbl 0235.34052Sleeman, B. D. 13 1971 The solvability of some chemotaxis systems. Zbl 1073.35110Yin, Yang; Hua, Chen; Weian, Liu; Sleeman, B. D. 12 2005 A mathematical analysis of a model for tumour angiogenesis. Zbl 0830.92013Chaplain, M. A. J.; Giles, Susan M.; Sleeman, B. D.; Jarvis, R. J. 12 1995 A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems. Zbl 0890.34022Browne, Patrick J.; Sleeman, B. D. 11 1997 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 Weak travelling fronts for population models with density dependent dispersion. Zbl 0653.92015Grindrod, P.; Sleeman, B. D. 10 1987 Non-linear multiparameter eigenvalue problems for ordinary differential equations. Zbl 0444.34028Browne, P. J.; Sleeman, B. D. 10 1980 Differential equations and mathematical biology. 2nd ed. Zbl 1298.92003Jones, D. S.; Plank, M. J.; Sleeman, B. D. 9 2010 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. 9 1999 Trace formulae for the eigenvalues of the Laplacian. Zbl 0551.35066Sleeman, B. D.; Zayed, E. M. E. 9 1984 Multiparameter spectral theory. Zbl 0364.47002Källström, A.; Sleeman, B. D. 9 1977 Completeness and expansion theorems for a two-parameter eigenvalue problem in ordinary differential equations using variational principles. Zbl 0261.34018Sleeman, B. D. 9 1973 Subsolutions and supersolutions to systems of parabolic equations with applications to generalized Fujita-type systems. Zbl 0807.35061Lu, G.; Sleeman, B. D. 8 1994 Singular linear differential operators with many parameters. Zbl 0323.34017Sleeman, B. D. 8 1973 A model of a myelinated nerve axon: threshold behaviour and propagation. Zbl 0579.92004Grindrod, P.; Sleeman, B. D. 7 1985 A numerical technique for multiparameter eigenvalue problems. Zbl 0511.65024Browne, Patrick J.; Sleeman, B. D. 7 1982 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 Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture. Zbl 0841.35075Chen, Hua; Sleeman, B. D. 6 1995 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 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 The two-parameter Sturm-Liouville problem for ordinary differential equations. II. Zbl 0242.34021Sleeman, B. D. 6 1972 Multi-parameter eigenvalue problems in ordinary differential equations. Zbl 0352.34025Sleeman, B. D. 6 1971 On uniqueness of an inverse problem in electromagnetic obstacle scattering for an impedance cylinder. Zbl 1241.78026Nakamura, Gen; Sleeman, Brian D.; Wang, Haibing 5 2012 Multiparameter spectral theory and separation of variables. Zbl 1141.34008Sleeman, B. D. 5 2008 On the spectral theory of operator bundles. II. Zbl 0411.47018Roach, G. F.; Sleeman, B. D. 5 1979 A mathematical model for the spread of morphogens with density dependent chemosensitivity. Zbl 1078.92010Merkin, J. H.; Needham, D. J.; Sleeman, B. D. 4 2005 On the spread of morphogens. Zbl 1066.92003Merkin, J. H.; Sleeman, B. D. 4 2005 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. 4 1997 Permanence in Kolmogorov competition models with diffusion. Zbl 0789.35087Zhao, X.-Q.; Sleeman, B. D. 4 1993 An analogue of Berry’s conjecture for the phase in fractal obstacle scattering. Zbl 0777.35051Sleeman, B. D.; Hua, Chen 4 1992 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. 4 1989 An abstract multiparameter spectral theory. Zbl 0499.47008Binding, P. A.; Kaellstroem, A.; Sleeman, B. D. 4 1982 Analytic perturbations of multiparameter eigenvalue problems. Zbl 0438.47017Browne, Patrick J.; Sleeman, B. D. 4 1979 Klein oscillation theorems for multiparameter eigenvalue problems in ordinary differential equations. Zbl 0428.34028Sleeman, B. D. 4 1979 On the spectral theory of operator bundles. Zbl 0373.47001Roach, G. F.; Sleeman, B. D. 4 1977 An abstract relation for multiparameter eigenvalue problems. Zbl 0334.34027Källström, A.; Sleeman, B. D. 4 1976 Left-definite multiparameter eigenvalue problems. Zbl 0311.34029Sleeman, B. D. 4 1975 Integral representations associated with high-frequency non-symmetric scattering by prolate spheroids. Zbl 0185.18701Sleeman, B. D. 4 1969 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. 3 2003 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 Large-scale behavior of fungal mycelia. Zbl 0876.92008Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 3 1996 Complexity in spatio-temporal dynamics. Zbl 0839.58048Rod, D. L.; Sleeman, B. D. 3 1995 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 Inverse multi-parameter eigenvalue problems for matrices. Zbl 0575.15002Browne, Patrick J.; Sleeman, B. D. 3 1985 Small amplitude periodic waves for the FitzHugh-Nagumo equations. Zbl 0503.92008Sleeman, B. D. 3 1982 Nonlinear multiparameter eigenvalue problems. Zbl 0509.47047Browne, Patrick J.; Sleeman, B. D. 3 1981 Regular multiparameter eigenvalue problems with several parameters in the boundary conditions. Zbl 0424.34022Browne, Patrick J.; Sleeman, B. D. 3 1979 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 The low-frequency scalar Dirichlet scattering by a general ellipsoid. Zbl 0152.45506Sleeman, B. D. 3 1967 Mathematical modelling of avascular ellipsoidal tumour growth. Zbl 1233.92030Dassios, G.; Kariotou, F.; Tsampas, M. N.; Sleeman, B. D. 2 2012 Mathematical modelling of avascular and vascular tumour growth. Zbl 1178.92031Jones, P. F.; Sleeman, B. D. 2 2008 Tumour-induced angiogenesis: a review. Zbl 1078.92040Plank, M. J.; Sleeman, B. D. 2 2003 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 0972.35159Hua, Chen; Sleeman, B. D. 2 2001 Non-existence of global solutions to anisotropic Fujita-type systems of semilinear parabolic equations. Zbl 0965.35080Takase, H.; Sleeman, B. D. 2 2000 Travelling-wave solutions to monostable reaction-diffusion systems of mixed monotone type. Zbl 0945.35044Takase, H.; Sleeman, B. D. 2 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 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 Linear differential equations with symmetries. Zbl 0926.34001Churchill, R. C.; Rod, D. L.; Sleeman, B. D. 2 1997 Solid tumour growth: A case study in mathematical biology. Zbl 0869.92009Sleeman, B. D. 2 1996 Spatial patterning of spruce budworm in circular region. Zbl 0737.92019Guo, Benyu; Mitchell, A. R.; Sleeman, B. D. 2 1991 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. 2 1988 Comparison principles for strongly coupled reaction-diffusion equations. Zbl 0633.35039Sleeman, B. D.; Tuma, E. 2 1987 Comparison principles in the analysis of reaction-diffusion systems modelling unmyelinated nerve fibres. Zbl 0609.92016Grindrod, P.; Sleeman, B. D. 2 1984 Doubly-periodic Floquet theory. Zbl 0527.34041Sleeman, B. D.; Smith, P. D.; Wright, G. P. 2 1984 Instability of certain traveling wave solutions to the Fitz Hugh-Nagumo nerve axon equations. Zbl 0429.35066Sleeman, B. D. 2 1980 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 FitzHugh’s nerve axon equations. Zbl 0319.92003Sleeman, B. D. 2 1975 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 5 2012 Mathematical modelling of avascular ellipsoidal tumour growth. Zbl 1233.92030Dassios, G.; Kariotou, F.; Tsampas, M. N.; Sleeman, B. D. 2 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. 9 2010 The inverse acoustic obstacle scattering problem and its interior dual. Zbl 1183.35275Sleeman, Brian 1 2009 Multiparameter spectral theory and separation of variables. Zbl 1141.34008Sleeman, B. D. 5 2008 Mathematical modelling of avascular and vascular tumour growth. Zbl 1178.92031Jones, P. F.; Sleeman, B. D. 2 2008 Reconstruction of an acoustically sound-soft obstacle from one incident field and the far-field pattern. Zbl 1121.76059Johansson, Tomas; Sleeman, Brian D. 31 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. 26 2005 The solvability of some chemotaxis systems. Zbl 1073.35110Yin, Yang; Hua, Chen; Weian, Liu; Sleeman, B. D. 12 2005 A mathematical model for the spread of morphogens with density dependent chemosensitivity. Zbl 1078.92010Merkin, J. H.; Needham, D. J.; Sleeman, B. D. 4 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. 33 2004 A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036Plank, M. J.; Sleeman, B. D. 21 2003 Differential equations and mathematical biology. Zbl 1020.92001Jones, D. S.; Sleeman, B. D. 18 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. 3 2003 Tumour-induced angiogenesis: a review. Zbl 1078.92040Plank, M. J.; Sleeman, B. D. 2 2003 Tumour induced angiogenesis as a reinforced random walk: Modelling capillary network formation without endothelial cell proliferation. Zbl 1021.92016Sleeman, B. D.; Wallis, I. P. 13 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 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 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 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 51 2001 Partial differential equations of chemotaxis and angiogenesis. Zbl 0990.35014Sleeman, B. D.; Levine, H. A. 31 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 0972.35159Hua, Chen; 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 52 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. 9 1999 Travelling-wave solutions to monostable reaction-diffusion systems of mixed monotone type. Zbl 0945.35044Takase, H.; Sleeman, B. D. 2 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. 86 1997 A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems. Zbl 0890.34022Browne, Patrick J.; Sleeman, B. D. 11 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. 4 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 Linear differential equations with symmetries. Zbl 0926.34001Churchill, R. C.; Rod, D. L.; 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. 55 1996 Large-scale behavior of fungal mycelia. Zbl 0876.92008Davidson, 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 0869.92009Sleeman, 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. 19 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. 12 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. 8 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. 18 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 Asymptotic estimates for eigenvalues of right definite two parameter Sturm-Liouville problems. Zbl 0804.34028Browne, 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 0778.34065Browne, 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.; Hua, Chen 4 1992 The interior transmission problem and inverse scattering from inhomogeneous media. Zbl 0733.76065Rynne, B. P.; Sleeman, B. D. 46 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. 4 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. 2 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. 14 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 Bounds for wave-front solutions to the FitzHugh-Nagumo equations. Zbl 0603.35046Sleeman, B. D.; Tuma, E. 1 1985 Homoclinic solutions for coupled systems of differential equations. Zbl 0595.34039Grindrod, P.; Sleeman, B. D. 1 1985 Spatial patterning of the spruce budworm in the presence of defoliation. Zbl 0588.35051Yu, Guo Ben; 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 Comparison principles in the analysis of reaction-diffusion systems modelling unmyelinated nerve fibres. Zbl 0609.92016Grindrod, P.; Sleeman, B. D. 2 1984 Doubly-periodic Floquet theory. Zbl 0527.34041Sleeman, B. D.; Smith, P. D.; Wright, G. P. 2 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. 34 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. 17 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. 7 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 0488.00008Everitt, W. N. (ed.); Sleeman, B. D. (ed.) 1 1982 Nonlinear multiparameter eigenvalue problems. Zbl 0509.47047Browne, Patrick J.; Sleeman, B. D. 3 1981 Two-dimensional inverse scattering and conformal mappings. Zbl 0463.35066Sleeman, B. D. 1 1981 Boundary value problems for the vibrating string equation. Zbl 0461.35055Sleeman, B. D. 1 1981 Some useful functions for functional limit theorems. Zbl 0428.60010Whitt, Ward; Sleeman, B. D. 120 1980 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,205 Authors 45 Sleeman, Brian D. 30 Binding, Paul Anthony 22 Browne, Patrick J. 21 Zayed, Elsayed M. E. 20 Wang, Zhian 15 Yang, Chuanfu 14 Kress, Rainer 14 Whitt, Ward 13 Koyunbakan, Hikmet 13 Zhao, Kun 11 Winkler, Michael 10 Chaplain, Mark A. J. 10 Wang, Yuping 9 Chen, Hua 9 Colton, David Lem 8 Han, Jiayu 8 Li, Tong 8 Maini, Philip Kumar 8 Pamuk, Serdal 8 Yang, Yidu 7 Bellomo, Nicola 7 Byrne, Helen Mary 7 Deng, Keng 7 Hu, Guanghui 7 Shieh, Chung-Tsun 7 Tello, José Ignacio 6 Cakoni, Fioralba 6 Chen, Lung-Hui 6 Davidson, Fordyce A. 6 Haddar, Houssem 6 Košir, Tomaž 6 Ozkan, Ahmet Sinan 6 Rynne, Bryan P. 6 Yang, Zhijian 6 Zhang, Hanqin 5 Anderson, Alexander R. A. 5 Anderson, Jeffrey R. 5 Bi, Hai 5 Chen, Hong 5 Glynn, Peter W. 5 Hillen, Thomas 5 Källström, A. 5 Keskin, Baki 5 Lee, Kuo-Ming 5 Liu, Hongyu 5 Liu, Weian 5 Lu, Gang 5 Mcelwain, D. L. Sean 5 Peng, Hongyun 5 Perthame, Benoît 5 Preziosi, Luigi 5 Roach, Gary F. 5 Wang, Haibing 5 Yılmaz, Emrah Sercan 4 An, Jing 4 Bellouquid, Abdelghani 4 Capasso, Vincenzo 4 Carpio, Ana 4 Choi, Kyudong 4 Friedman, Avner 4 Hou, Qianqian 4 Ivanyshyn, Olha 4 Karageorghis, Andreas 4 Konstantinov, Alexander Yu. 4 Lesnic, Daniel 4 Liu, Jijun 4 Liu, Zhengrong 4 McDougall, Steven R. 4 Negreanu, Mihaela 4 Painter, Kevin J. 4 Puhalskii, Anatolii A. 4 Resnick, Sidney Ira 4 Sini, Mourad 4 Volkmer, Hans 4 Zhao, Xiao-Qiang 4 Zhu, Neng 4 Zwart, Bert P. 3 Akbarpoor, Shahrbanoo 3 Bilbault, Jean-Marie 3 Bonilla, Luis Lopez 3 Buterin, Sergey Alexandrovich 3 Chapko, Roman 3 Chesnel, Lucas 3 Dassios, George 3 De Angelis, Elena 3 Dong, Heping 3 Fan, Jishan 3 Gintides, Drossos 3 Grunenfelder, Luzius 3 Gulsen, Tuba 3 Guo, Ben-Yu 3 Hausenblas, Erika 3 Herrero, Miguel Ángel 3 Johansson, B. Tomas 3 Kang, Kyungkeun 3 Kariotou, Foteini 3 Kaźmierczak, Bogdan 3 Kubo, Akisato 3 Kyprianou, Andreas E. 3 Levine, Howard Allen ...and 1,105 more Authors all top 5 Cited in 248 Serials 54 Journal of Mathematical Analysis and Applications 41 Journal of Differential Equations 30 Applicable Analysis 25 Journal of Mathematical Biology 25 Journal of Theoretical Biology 24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 21 Mathematical and Computer Modelling 20 Applied Mathematics and Computation 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 Journal of Computational and Applied Mathematics 18 Nonlinear Analysis. Theory, Methods & Applications. 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English Series 6 Inverse Problems and Imaging 5 Inverse Problems 5 Communications in Partial Differential Equations 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 Boundary Value Problems 4 Journal of Engineering Mathematics 4 Wave Motion 4 Journal of Functional Analysis 4 Numerische Mathematik 4 Proceedings of the American Mathematical Society 4 Quarterly of Applied Mathematics 4 Operations Research Letters 4 Applied Numerical Mathematics 4 Journal of Integral Equations and Applications 4 Linear Algebra and its Applications 4 SIAM Journal on Applied Mathematics 4 Science China. Mathematics 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 Physica D 3 Probability Theory and Related Fields 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Scientific Computing 3 Applications of Mathematics 3 Applied Mathematical Modelling 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Acta Mathematica Sinica. New Series 3 Journal of Mathematical Sciences (New York) 3 Electronic Journal of Probability 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Stochastic Models 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Complex Variables and Elliptic Equations 2 Acta Mechanica 2 Archive for Rational Mechanics and Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 Israel Journal of Mathematics 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 Statistics & Probability Letters 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 European Journal of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Discrete Event Dynamic Systems 2 Journal of Elasticity 2 SIAM Journal on Scientific Computing 2 Advances in Computational Mathematics 2 Journal of Difference Equations and Applications 2 Journal of Theoretical Medicine 2 Discrete Dynamics in Nature and Society ...and 148 more Serials all top 5 Cited in 45 Fields 462 Partial differential equations (35-XX) 324 Biology and other natural sciences (92-XX) 154 Ordinary differential equations (34-XX) 147 Numerical analysis (65-XX) 131 Probability theory and stochastic processes (60-XX) 95 Operator theory (47-XX) 52 Optics, electromagnetic theory (78-XX) 38 Fluid mechanics (76-XX) 36 Operations research, mathematical programming (90-XX) 35 Mechanics of deformable solids (74-XX) 31 Statistics (62-XX) 27 Integral equations (45-XX) 23 Dynamical systems and ergodic theory (37-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Functional analysis (46-XX) 12 Computer science (68-XX) 11 Systems theory; control (93-XX) 9 Special functions (33-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Potential theory (31-XX) 6 Difference and functional equations (39-XX) 5 Algebraic geometry (14-XX) 5 Measure and integration (28-XX) 5 Information and communication theory, circuits (94-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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