Samara Pillay

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All published works

Action	Title	Year	Authors
+ PDF Chat	The impact of exclusion processes on angiogenesis models	2018	Samara Pillay Helen M. Byrne Philip K. Maini
+	Multiscale Modeling of Angiogenesis and Predictive Capacity	2017	Samara Pillay Helen M. Byrne Philip K. Maini
+ PDF Chat	Modeling angiogenesis: A discrete to continuum description	2017	Samara Pillay Helen M. Byrne Philip K. Maini
+	Modelling angiogenesis : a discrete to continuum approach	2017	Samara Pillay
+	Multiscale Modeling of Cell Interaction in Angiogenesis: From the Micro- to Macro-scale	2016	Samara Pillay Philip K. Maini Helen M. Byrne
+	An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains	2010	Samara Pillay M. J. Ward Anthony Peirce Théodore Kolokolnikov
+	The narrow escape problem : a matched asymptotic expansion approach	2008	Samara Pillay

Common Coauthors

Coauthor	Papers Together
Philip K. Maini	4
Helen M. Byrne	4
Théodore Kolokolnikov	1
Anthony Peirce	1
M. J. Ward	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A hybrid model for tumor-induced angiogenesis in the cornea in the presence of inhibitors	2007	Heather A. Harrington Marc Maier L. Naidoo N. Whitaker P. G. Kevrekidis	2
+ PDF Chat	Tipping the Balance: Robustness of Tip Cell Selection, Migration and Fusion in Angiogenesis	2009	Katie Bentley Giovanni Mariggi Holger Gerhardt Paul A. Bates	2
+	Modelling collective cell behaviour	2014	Deborah C. Markham Ruth E. Baker Philip K. Maini	2
+	The mathematical modelling of tumour angiogenesis and invasion	1995	Mark A. J. Chaplain	2
+	Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions	1995	Helen M. Byrne Mark A. J. Chaplain	2
+	Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies	2005	Anastasis Stephanou S. R. McDougall Alexander R.A. Anderson Mark A. J. Chaplain	2
+	Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development	1996	Mark A. J. Chaplain	2
+	A mathematical model of tumour-induced capillary growth	1985	David J. Balding D. L. S. McElwain	2
+ PDF Chat	Agent-based simulation of notch-mediated tip cell selection in angiogenic sprout initialisation	2007	Katie Bentley Holger Gerhardt Paul A. Bates	2
+	The MATLAB ODE Suite	1997	L. F. Shampine Mark W. Reichelt	2
+	On the derivation of approximations to cellular automata models and the assumption of independence	2014	Kale Davies J. E. F. Green Nigel Bean Benjamin J. Binder Joshua V. Ross	2
+ PDF Chat	Building macroscale models from microscale probabilistic models: A general probabilistic approach for nonlinear diffusion and multispecies phenomena	2011	Catherine J. Penington Barry D. Hughes Kerry A. Landman	2
+	Continuous and Discrete Mathematical Models of Tumor-induced Angiogenesis	1998	Alexander R.A. Anderson	2
+	A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor	1993	Mark A. J. Chaplain Andrew M. Stuart	2
+	On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds	1994	Thomas F. Coleman Yuying Li	2
+ PDF Chat	Random walk models in biology	2008	Edward A. Codling Michael J. Plank Simon Benhamou	2
+	Multi-species simple exclusion processes	2008	Matthew J. Simpson Kerry A. Landman Barry D. Hughes	2
+ PDF Chat	Correcting mean-field approximations for birth-death-movement processes	2010	Ruth E. Baker Matthew J. Simpson	2
+ PDF Chat	Hybrid modeling of tumor-induced angiogenesis	2014	L. L. Bonilla Vincenzo Capasso Mariano Álvaro Page Manuel Carretero	2
+ PDF Chat	Cell invasion with proliferation mechanisms motivated by time-lapse data	2010	Matthew J. Simpson Kerry A. Landman Barry D. Hughes	2
+	Modeling biological tissue growth: Discrete to continuum representations	2013	Jack Hywood Emily Hackett-Jones Kerry A. Landman	2
+ PDF Chat	A review of mathematical models for the formation of vascular networks	2013	Marco Scianna Celia Bell Luigi Preziosi	2
+ PDF Chat	An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds	1996	Thomas F. Coleman Yuying Li	2
+	Inference of cell–cell interactions from population density characteristics and cell trajectories on static and growing domains	2015	Robert J. H. Ross Christian A. Yates Ruth E. Baker	2
+	Mathematical modeling of tumor-induced angiogenesis	2004	Nikos V. Mantzaris S. David Webb Hans G. Othmer	2
+	Mathematical modelling of angiogenesis.	2000	Mark A. J. Chaplain	2
+	Stochastic Differential Equations: Theory and Applications.	1976	P. Whittle Ludwig Arnold	1
+ PDF Chat	Mesoscopic and continuum modelling of angiogenesis	2014	Fabian Spill Pilar Guerrero Tomás Alarcón P. K. Maini Helen M. Byrne	1
+	Stochastic Interacting Systems: Contact, Voter and Exclusion Processes	1999	Thomas M. Liggett	1
+ PDF Chat	Windows of given area with minimal heat diffusion	1999	Jochen Denzler	1
+	On the Convergence of Reflective Newton Methods for Large-scale Nonlinear Minimization Subject to Bounds	1992	Thomas F. Coleman Yuying Li	1
+ PDF Chat	A model for mesoscale patterns in motile populations	2009	Matthew J. Simpson Kerry A. Landman Barry D. Hughes Anthony E. Fernando	1
+	A mathematical model of the first steps of tumour-related angiogenesis: Capillary sprout formation and secondary branching	1996	Michelle Orme	1
+	Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis	1991	Cynthia L. Stokes Douglas A. Lauffenburger	1
+	The importance of volume exclusion in modelling cellular migration	2014	Louise Dyson Ruth E. Baker	1
+ PDF Chat	Multiscale Modelling of Vascular Tumour Growth in 3D: The Roles of Domain Size and Boundary Conditions	2011	Holger Perfahl Helen M. Byrne Tingan Chen Verónica Estrella Tomás Alarcón Alexei Lapin Robert A. Gatenby Robert J. Gillies Mark C. Lloyd Philip K. Maini	1
+	Lattice and non-lattice models of tumour angiogenesis	2004	Michael J. Plank B. D. Sleeman	1
+	Strong Localized Perturbations of Eigenvalue Problems	1993	Micheal J. Ward Joseph B. Keller	1
+	Pathlines in exclusion processes	2009	Matthew J. Simpson Kerry A. Landman Barry D. Hughes	1
+ PDF Chat	Diffusion on a Sphere with Localized Traps: Mean First Passage Time, Eigenvalue Asymptotics, and Fekete Points	2009	Daniel Coombs Ronny Straube Michael J. Ward	1
+	On the Geometry of Optimal Windows, with Special Focus on the Square	2006	Almut Burchard Jochen Denzler	1
+ PDF Chat	A Stochastic Model for Wound Healing	2006	Thomas Callaghan Evgeniy Khain Leonard M. Sander Robert M. Ziff	1
+	Simulating invasion with cellular automata: Connecting cell-scale and population-scale properties	2007	Matthew J. Simpson Alistair Merrifield Kerry A. Landman Barry D. Hughes	1
+ PDF Chat	Perturbation of eigenvalues due to gaps in two-dimensional boundaries	2006	Anthony M. J. Davis Stefan G. Llewellyn Smith	1
+	Boundary Homogenization for Periodic Arrays of Absorbers	2008	Cyrill B. Muratov Stanislav Y. Shvartsman	1
+ PDF Chat	Narrow Escape, Part II: The Circular Disk	2006	Amit Singer Z. Schuss David Holcman	1
+ PDF Chat	From Microscopic to Macroscopic Descriptions of Cell Migration on Growing Domains	2009	Ruth E. Baker Christian A. Yates Radek Erban	1
+ PDF Chat	Angiogenesis and vascular remodelling in normal and cancerous tissues	2008	Markus R. Owen Tomás Alarcón Philip K. Maini Helen M. Byrne	1
+	Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems	1993	Michael J. Ward William D. Heshaw Joseph B. Keller	1
+ PDF Chat	An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere	2010	Alexei F. Cheviakov Michael J. Ward Ronny Straube	1