His main research concerns Biological system, Motility, Cell biology, Leading edge and Statistical physics. Matthew J. Simpson has included themes like Function, Logistic function, Thermal diffusivity and Moment in his Biological system study. Matthew J. Simpson works mostly in the field of Function, limiting it down to topics relating to Degree and, in certain cases, Econometrics, as a part of the same area of interest.
The Motility study combines topics in areas such as Process, Cell migration, Computational biology and Neural crest. His Leading edge research includes elements of Simulation, Edge detection and Sensitivity. The study incorporates disciplines such as Mathematical optimization, Lattice and Random walk in addition to Statistical physics.
His primary scientific interests are in Statistical physics, Biological system, Partial differential equation, Mathematical model and Lattice. His Statistical physics study combines topics from a wide range of disciplines, such as Stochastic modelling, Continuum, Stochastic process, Crowding and Random walk. Matthew J. Simpson usually deals with Biological system and limits it to topics linked to Cell migration and Cell biology.
Matthew J. Simpson has researched Partial differential equation in several fields, including Range, Initial value problem, Reaction–diffusion system and Ordinary differential equation. Matthew J. Simpson frequently studies issues relating to Nonlinear system and Lattice. His Mathematical analysis study incorporates themes from Boundary, Work and Phase plane.
Matthew J. Simpson mainly investigates Biological system, Mathematical analysis, Partial differential equation, Mathematical model and Boundary. In his study, Matthew J. Simpson carries out multidisciplinary Biological system and Noise research. The study incorporates disciplines such as Experimental data, Reaction–diffusion system, Curvature, Artificial intelligence and Nonlinear system in addition to Partial differential equation.
His research integrates issues of Heavy traffic approximation and Lattice in his study of Reaction–diffusion system. His research in Mathematical model intersects with topics in Stochastic modelling, Stochastic process, Thermal diffusivity, Identifiability and Statistical physics. Matthew J. Simpson combines Statistical physics and Spatial structure in his research.
His primary areas of study are Mathematical analysis, Boundary problem, Traveling wave, Partial differential equation and Biological system. The concepts of his Mathematical analysis study are interwoven with issues in Boundary and Phase plane. His work investigates the relationship between Boundary problem and topics such as Reaction–diffusion system that intersect with problems in Identifiability, Temporal models, Fluorescent cell and Cell cycle.
His Traveling wave study integrates concerns from other disciplines, such as Function and Thermal diffusivity. His Partial differential equation research includes themes of Dynamical systems theory and Artificial neural network, Supervised learning, Perceptron, Artificial intelligence. Matthew J. Simpson performs integrative Biological system and Noise research in his work.
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Does sea-level rise have an impact on saltwater intrusion?
Sun Woo Chang;T. Prabhakar Clement;Matthew J. Simpson;Kang-Kun Lee.
Advances in Water Resources (2011)
The role of cellular reactive oxygen species in cancer chemotherapy
Haotian Yang;Rehan M Villani;Haolu Wang;Matthew J Simpson.
Journal of Experimental & Clinical Cancer Research (2018)
Cell proliferation drives neural crest cell invasion of the intestine.
Matthew J. Simpson;Dong C. Zhang;Michael Mariani;Kerry A. Landman.
Developmental Biology (2007)
Theoretical analysis of the worthiness of Henry and Elder problems as benchmarks of density-dependent groundwater flow models
M.J. Simpson;T.P. Clement;T.P. Clement.
Advances in Water Resources (2003)
Multi-species simple exclusion processes
Matthew J. Simpson;Kerry A. Landman;Barry D. Hughes.
Physica A-statistical Mechanics and Its Applications (2009)
Improving the worthiness of the Henry problem as a benchmark for density-dependent groundwater flow models
Matthew J. Simpson;T. Prabhakar Clement.
Water Resources Research (2004)
Simulating invasion with cellular automata: connecting cell-scale and population-scale properties.
Matthew J. Simpson;Alistair Merrifield;Kerry A. Landman;Barry D. Hughes.
Physical Review E (2007)
Correcting mean-field approximations for birth-death-movement processes.
Ruth E. Baker;Matthew J. Simpson.
Physical Review E (2010)
Cell invasion with proliferation mechanisms motivated by time-lapse data
Matthew J. Simpson;Kerry A. Landman;Barry D. Hughes.
Physica A-statistical Mechanics and Its Applications (2010)
Quantifying the roles of cell motility and cell proliferation in a circular barrier assay
Matthew J. Simpson;Katrina K. Treloar;Benjamin J. Binder;Parvathi Haridas.
Journal of the Royal Society Interface (2013)
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