Brian D. Wood

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All published works

Action	Title	Year	Authors
+	Homogenisation of nonlinear blood flow in periodic networks: the limit of small haematocrit heterogeneity	2024	Y. Ben-Ami Brian D. Wood Joe Pitt‐Francis Philip K. Maini Helen M. Byrne
+	Introduction to Advanced Engineering Mathematics and Analysis: Modeling Physical Systems Using the Language of Mathematics	2023	Brian D. Wood
+	A Note on the Gibbsian Representation of the Gradient of a Vector Field	2022	Brian D. Wood Peeter Joot Stephen Whitaker
+	Explicit physics-informed neural networks for nonlinear closure: The case of transport in tissues	2021	Ehsan Taghizadeh Helen M. Byrne Brian D. Wood
+	Transport of chemotactic bacteria in granular media with randomly distributed chemoattractant-containing NAPL ganglia: Modeling and simulation	2021	Beibei Gao Ehsan Taghizadeh Brian D. Wood Roseanne M. Ford
+	Explicit physics-informed neural networks for non-linear upscaling closure: the case of transport in tissues	2021	Ehsan Taghizadeh Helen M. Byrne Brian D. Wood
+	Anomalous diffusion process detected in macroscale Taylor dispersion	2020	Brian D. Wood Ehsan Taghizadeh Diogo Bolster Francisco J. Valdés‐Parada
+	A hierarchy of models for simulating experimental results from a 3D heterogeneous porous medium	2018	Daniel Vogler Sassan Ostvar Rebecca Paustian Brian D. Wood
+	Series Solutions for Orthotropic Diffusion in a Cube	2015	Brian D. Wood Sassan Ostvar
+	Series Solutions for Orthotropic Diffusion in a Cube	2015	Brian D. Wood Sassan Ostvar
+	Technical note: Revisiting the geometric theorems for volume averaging	2013	Brian D. Wood
+	Interfacial Phenomena and Natural Local Time	2012	Thilanka Appuhamillage Vrushali A. Bokil Enrique Thomann Edward C. Waymire Brian D. Wood
+ PDF Chat	Corrections: Occupation and local times for skew Brownian motion with applications to dispersion across an interface	2011	Thilanka Appuhamillage Vrushali A. Bokil Enrique Thomann Edward C. Waymire Brian D. Wood
+ PDF Chat	Erratum to: The Role of Tortuosity in Upscaling	2011	Francisco J. Valdés‐Parada Mark L. Porter Brian D. Wood
+	First Passage Times and Breakthrough Curves Associated with Interfacial Phenomena	2011	Edward C. Waymire Thilanka Appuhamillage Vrushali A. Bokil Enrique Thomann Brian D. Wood
+	Corrections and acknowledgment for "Occupation and local times for skew Brownian motion with applications to dispersion across an interface"	2010	Thilanka Appuhamillage Vrushali A. Bokil Enrique Thomann Edward C. Waymire Brian D. Wood
+	Upscaling microbial chemotaxis in porous media	2009	Francisco J. Valdés‐Parada Mark L. Porter Karthik Narayanaswamy Roseanne M. Ford Brian D. Wood
+	Effective Medium Equations for Chemotaxis in Porous Media	2008	Francisco J. Valdés‐Parada Mark L. Porter Krithika Narayanaswamy Roseanne M. Ford Brian D. Wood
+	A Generalized Taylor–Aris Formula and Skew Diffusion	2006	Jorge Ramírez Enrique Thomann Edward C. Waymire R. Haggerty Brian D. Wood
+	Calculation of the Darcy-scale effective diffusion and dispersion tensors for porous media: Volume averaging with 3-dimensional closure solutions	2004	Brian D. Wood

Common Coauthors

Coauthor	Papers Together
Enrique Thomann	5
Edward C. Waymire	5
Thilanka Appuhamillage	4
Vrushali A. Bokil	4
Francisco J. Valdés‐Parada	4
Ehsan Taghizadeh	4
Helen M. Byrne	3
Roseanne M. Ford	3
Sassan Ostvar	3
Mark L. Porter	3
Daniel Vogler	1
Krithika Narayanaswamy	1
Beibei Gao	1
Philip K. Maini	1
Karthik Narayanaswamy	1
Peeter Joot	1
Jorge Ramírez	1
R. Haggerty	1
Rebecca Paustian	1
Joe Pitt‐Francis	1
Diogo Bolster	1
Y. Ben-Ami	1
Stephen Whitaker	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Quantification of Chemotaxis to Naphthalene by <i>Pseudomonas putida</i> G7	1999	Randall B. Marx Michael D. Aitken	2
+	Quantitative analysis of experiments on bacterial chemotaxis to naphthalene	2002	Joseph A. Pedit Randall B. Marx Cass T. Miller Michael D. Aitken	2
+	Variational Physics-Informed Neural Networks For Solving Partial Differential Equations	2019	Ehsan Kharazmi Zhongqiang Zhang George Em Karniadakis	2
+ PDF Chat	Predicting Effective Diffusivity of Porous Media from Images by Deep Learning	2019	Haiyi Wu Wenzhen Fang Qinjun Kang Wen‐Quan Tao Rui Qiao	2
+ PDF Chat	Data-driven discovery of coarse-grained equations	2021	Joseph Bakarji Daniel M. Tartakovsky	2
+ PDF Chat	Multiscale modelling of drug transport and metabolism in liver spheroids	2020	Joseph Leedale Jonathan A. Kyffin Amy L. Harding Helen Colley Craig Murdoch Parveen Sharma Dominic P. Williams Steven D. Webb Rachel N. Bearon	2
+	From 1970 until present: the Keller-Segel model in chemotaxis and its consequences	2003	Dirk Horstmann	2
+ PDF Chat	Learned discretizations for passive scalar advection in a two-dimensional turbulent flow	2021	Jiawei Zhuang Dmitrii Kochkov Yohai Bar‐Sinai Michael P. Brenner Stephan Hoyer	2
+	One — dimensional stochastic differential equations involving the local times of the unknown process	1984	J. F. Le Gall	2
+	The Elements of Statistical Learning	2001	Trevor Hastie J. Friedman Robert Tibshirani	2
+	Learning the Effective Dynamics of Complex Multiscale Systems.	2020	Pantelis R. Vlachas Georgios Arampatzis Caroline Uhler Petros Koumoutsakos	2
+	Transport models for chemotactic cell populations based on individual cell behavior	1989	Mercedes A. Rivero Robert T. Tranquillo Helen M. Buettner Douglas A. Lauffenburger	2
+ PDF Chat	Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations	2020	Hassan Arbabi J. E. Bunder Giovanni Samaey A. J. Roberts Ioannis G. Kevrekidis	2
+ PDF Chat	Data-driven discovery of partial differential equations	2017	Samuel Rudy Steven L. Brunton Joshua L. Proctor J. Nathan Kutz	2
+ PDF Chat	Coarse-scale PDEs from fine-scale observations via machine learning	2020	Seung‐Joon Lee Mahdi Kooshkbaghi Konstantinos Spiliotis Constantinos Siettos Ioannis G. Kevrekidis	2
+ PDF Chat	Interface learning in fluid dynamics: Statistical inference of closures within micro–macro-coupling models	2020	Suraj Pawar Shady E. Ahmed Omer San	2
+	Hidden physics models: Machine learning of nonlinear partial differential equations	2017	Maziar Raissi George Em Karniadakis	2
+	Interaction of Tumor with Its Micro-environment: A Mathematical Model	2009	Yangjin Kim Avner Friedman	2
+	Model for chemotaxis	1971	Evelyn Fox Keller Lee A. Segel	2
+ PDF Chat	Turbulence Modeling in the Age of Data	2018	Karthik Duraisamy Gianluca Iaccarino Heng Xiao	2
+ PDF Chat	On Skew Brownian Motion	1981	J. Michael Harrison L. A. Shepp	2
+	On the Relationship Between Cell Balance Equations for Chemotactic Cell Populations	1992	Roseanne M. Ford Peter T. Cummings	2
+ PDF Chat	Learning data-driven discretizations for partial differential equations	2019	Yohai Bar‐Sinai Stephan Hoyer Jason Hickey Michael P. Brenner	2
+ PDF Chat	Analytical investigations for heat conduction problems in anisotropic thin-layer media with embedded heat sources	2002	Ming-Hsien Hsieh Chien‐Ching Ma	1
+ PDF Chat	Erratum to: The Role of Tortuosity in Upscaling	2011	Francisco J. Valdés‐Parada Mark L. Porter Brian D. Wood	1
+	Upscaling microbial chemotaxis in porous media	2009	Francisco J. Valdés‐Parada Mark L. Porter Karthik Narayanaswamy Roseanne M. Ford Brian D. Wood	1
+ PDF Chat	Comment on “Jamming at zero temperature and zero applied stress: The epitome of disorder”	2004	Aleksandar Donev Salvatore Torquato Frank H. Stillinger Robert Connelly	1
+	A Perturbation Expansion for Diffusion in a Random Velocity Field	1984	C. L. Winter Charles M. Newman Shlomo P. Neuman	1
+	Measurement of bacterial random motility and chemotaxis coefficients: II. Application of single‐cell‐based mathematical model	1991	Roseanne M. Ford Douglas A. Lauffenburger	1
+	New derivations of the fundamental solution for heat conduction problems in three-dimensional general anisotropic media	2011	Rogério José Marczak M. Denda	1
+	Analytical solutions for bacterial energy taxis (chemotaxis): Traveling bacterial bands	2007	Wei Long Markus Hilpert	1
+ PDF Chat	Asymptotic Behavior of Skew Conditional Heat Kernels on Graph Networks	1993	Tatsuya Okada	1
+	On the symmetry of the conductivity tensor and other restrictions in the nonlinear theory of heat conduction	1969	W. A. Day Morton E. Gurtin	1
+	Exact Solution of Heat Conduction in Composite Materials and Application to Inverse Problems	1998	Cuauhtemoc Aviles‐Ramos A. Haji‐Sheikh James V. Beck	1
+	“Skew-Brownian Motion” and Derived Processes	1991	Youssef Ouknine	1
+ PDF Chat	A scheme for simulating one-dimensional diffusion processes with discontinuous coefficients	2006	Antoine Lejay Miguel Martínez	1
+	The status of the kepler conjecture	1994	Thomas Hales	1
+	Closed-Form Likelihood Expansions for Multivariate Diffusions	2002	Yacine Aït‐Sahalia	1
+	Unsteady heat conduction in two-dimensional two slab-shaped regions. Exact closed-form solution and results	2003	Filippo de Monte	1
+ PDF Chat	Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis II: Bacterial Populations	2008	Marcus J. Tindall Philip K. Maini Steven L. Porter Judith P. Armitage	1
+ PDF Chat	Determination of effective transport coefficients for bacterial migration in sand columns	1995	J. W. Barton Roseanne M. Ford	1
+	Effective diffusion and conduction in two‐phase media: A unified approach	1983	Hsueh‐Chia Chang	1
+ PDF Chat	LVI. <i>On the influence of obstacles arranged in rectangular order upon the properties of a medium</i>	1892	Lord Rayleigh	1
+	Model for the chemotactic response of a bacterial population	1976	I. Richard Lapidus Ralph Schiller	1
+	Heat Kernels and Spectral Theory	1989	E. B. Davies	1
+ PDF Chat	On the functional central limit theorem and the law of the iterated logarithm for Markov processes	1982	Ritwik Bhattacharya	1
+ PDF Chat	An Operator Calculus Having Applications in Quantum Electrodynamics	1951	Richard P. Feynman	1
+	Continuity of Solutions of Parabolic and Elliptic Equations	1958	John C. Nash	1
+	Theoretical Analysis of Transport in Porous Media: Multi-Equation and Hybrid Models for a Generic Transport Problem with Nonlinear Source Terms	2015		1
+ PDF Chat	An alternative smooth particle hydrodynamics formulation to simulate chemotaxis in porous media	2016	Diego Avesani Michael Dumbser Gabriele Chiogna Alberto Bellin	1