Andrew Krause

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Robert A. Van GorderDepartment of Mathematics and Statistics, University of OtagoVerified email at otago.ac.nz
Eamonn A GaffneyMathematical Institute, University of OxfordVerified email at maths.ox.ac.uk
Václav KlikaDept of Mathematics, FNSPE, Czech Technical University in PragueVerified email at fjfi.cvut.cz
Philip MainiProfessor of Mathematical BiologyVerified email at maths.ox.ac.uk
Thomas WoolleySenior Lecturer in Applied Mathematics, Cardiff UniversityVerified email at cardiff.ac.uk
Bixiang WangProfessor of Mathematics, New Mexico Institute of Mining and TechnologyVerified email at nmt.edu
Denis HeadonGroup leader, The Roslin Institute, University of EdinburghVerified email at roslin.ed.ac.uk
Sarah WatersProfessor of Applied Mathematics, University of OxfordVerified email at maths.ox.ac.uk
James A. KwiecinskiOkinawa Institute of Science and TechnologyVerified email at oist.jp
Nabil T FadaiSchool of Mathematical Sciences, University of NottinghamVerified email at nottingham.ac.uk
Ferran Brosa PlanellaAssistant Professor, University of WarwickVerified email at warwick.ac.uk
Dmitry BeliaevMathematical Institute, University of OxfordVerified email at maths.ox.ac.uk
Meredith Ann EllisPostdoctoral Research Fellow, University of BirminghamVerified email at bham.ac.uk
Mehdi DamaghiAssistant professor at Stony Brook medicine, dept of pathology and SB cancer centerVerified email at stonybrookmedicine.edu
Robert GilliesChair of Cancer Physiology, H. Lee Moffitt Cancer CenterVerified email at moffitt.org
Maximilian A R StroblPostdoctoral Research Fellow, Cleveland Clinic, USAVerified email at ccf.org
Alexander R. A. AndersonChair of Integrated Mathematical Oncology, Moffitt Cancer CenterVerified email at moffitt.org
Jorge Antonio Castillo MedinaProfesor, Autonomous University of GuerreroVerified email at uagro.mx
Faustino Sánchez-GarduñoDepartamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México (UNAMVerified email at ciencias.unam.mx
Calum AndersonPhD student, Heriot-Watt universityVerified email at hw.ac.uk

Andrew Krause

Durham University

Verified email at durham.ac.uk - Homepage

Mathematical Biology Pattern Formation Partial Differential Equations Dynamical Systems


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains A Krause, B Wang Journal of Mathematical Analysis and Applications 417 (2), 1018-1038, 2014	57	2014
From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ AL Krause, V Klika, TE Woolley, EA Gaffney Journal of the Royal Society Interface 17 (162), 20190621, 2020	51	2020
Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds AL Krause, MA Ellis, RA Van Gorder Bulletin of mathematical biology 81, 759-799, 2019	49	2019
Modern perspectives on near-equilibrium analysis of Turing systems AL Krause, EA Gaffney, PK Maini, V Klika Philosophical Transactions of the Royal Society A 379 (2213), 20200268, 2021	46	2021
Turing conditions for pattern forming systems on evolving manifolds RA Van Gorder, V Klika, AL Krause Journal of mathematical biology 82, 1-61, 2021	46*	2021
Dynamics of the non-autonomous stochastic p-Laplace equation driven by multiplicative noise A Krause, M Lewis, B Wang Applied Mathematics and Computation 246, 365-376, 2014	44	2014
Turing–Hopf patterns on growing domains: the torus and the sphere F Sánchez-Garduno, AL Krause, JA Castillo, P Padilla Journal of theoretical biology 481, 136-150, 2019	38	2019
Bespoke turing systems TE Woolley, AL Krause, EA Gaffney Bulletin of Mathematical Biology 83, 1-32, 2021	36	2021
Stochastic epidemic metapopulation models on networks: SIS dynamics and control strategies AL Krause, L Kurowski, K Yawar, RA Van Gorder Journal of theoretical biology 449, 35-52, 2018	35	2018
The developmental basis of fingerprint pattern formation and variation JD Glover, ZR Sudderick, BBJ Shih, C Batho-Samblas, L Charlton, ... Cell 186 (5), 940-956. e20, 2023	28	2023
Heterogeneity induces spatiotemporal oscillations in reaction-diffusion systems AL Krause, V Klika, TE Woolley, EA Gaffney Physical Review E 97 (5), 052206, 2018	27	2018
Emergent structures in reaction-advection-diffusion systems on a sphere AL Krause, AM Burton, NT Fadai, RA Van Gorder Physical Review E 97 (4), 042215, 2018	24	2018
Isolating patterns in open reaction–diffusion systems AL Krause, V Klika, PK Maini, D Headon, EA Gaffney Bulletin of Mathematical Biology 83 (7), 82, 2021	20	2021
Mix and match: phenotypic coexistence as a key facilitator of cancer invasion MAR Strobl, AL Krause, M Damaghi, R Gillies, ARA Anderson, PK Maini Bulletin of Mathematical Biology 82, 1-26, 2020	20	2020
Continuous dispersal in a model of predator–prey-subsidy population dynamics A Bassett, AL Krause, RA Van Gorder Ecological Modelling 354, 115-122, 2017	20	2017
A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns NP Taylor, H Kim, AL Krause, RA Van Gorder Bulletin of Mathematical Biology 82, 1-40, 2020	18	2020
Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation JS Ritchie, AL Krause, RA Van Gorder Annals of Physics 444, 169033, 2022	16	2022
Two-species migration and clustering in two-dimensional domains L Kurowski, AL Krause, H Mizuguchi, P Grindrod, RA Van Gorder Bulletin of mathematical biology 79, 2302-2333, 2017	16	2017
Introduction to ‘Recent progress and open frontiers in Turing’s theory of morphogenesis’ AL Krause, EA Gaffney, PK Maini, V Klika Philosophical Transactions of the Royal Society A 379 (2213), 20200280, 2021	15	2021
Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains RA Van Gorder, H Kim, AL Krause Journal of Fluid Mechanics 877, 759-823, 2019	12	2019

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