• 135 Citations
  • 8 h-Index
20092020
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Research Outputs 2009 2019

  • 135 Citations
  • 8 h-Index
  • 22 Article
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Article
2019

A cell topography-based mechanism for ligand discrimination by the T cell receptor

Fernandes, R. A., Ganzinger, K. A., Tzou, J. C., Jönsson, P., Lee, S. F., Palayret, M., Santos, A. M., Carr, A. R., Ponjavic, A., Chang, V. T., Macleod, C., Lagerholm, B. C., Lindsay, A. E., Dushek, O., Tilevi, A., Davis, S. J. & Klenerman, D., 9 Jul 2019, In : Proceedings of the National Academy of Sciences of the United States of America. 116, 28, p. 14002-14010 9 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
T-Cell Antigen Receptor
Ligands
Phosphoric Monoester Hydrolases
T-Lymphocytes
Antigen-Presenting Cells

Refined stability thresholds for localized spot patterns for the Brusselator model in R2

Chang, Y., Tzou, J. C., Ward, M. & Wei, J. C., Aug 2019, In : European Journal of Applied Mathematics. 30, 4, p. 791-828 38 p.

Research output: Contribution to journalArticleResearchpeer-review

Nonlocal Problems
Eigenvalue Problem
Linear Stability
Lattice Points
Stability Theory
2018

Anomalous scaling of Hopf bifurcation thresholds for the stability of localized spot patterns for reaction-diffusion systems in two dimensions

Tzou, J. C., Ward, M. J. & Wei, J. C., 29 Mar 2018, In : SIAM Journal on Applied Dynamical Systems. 17, 1, p. 982–1022 41 p.

Research output: Contribution to journalArticleResearchpeer-review

Anomalous Scaling
Nonlocal Problems
Hopf bifurcation
Reaction-diffusion System
Hopf Bifurcation

Stabilizing a homoclinic stripe

Kolokolnikov, T., Ward, M., Tzou, C. & Wei, J., 15 Nov 2018, In : Philosophical Transactions of the Royal Society A. 376, 2135, p. 1-13 13 p., 20180110.

Research output: Contribution to journalArticleResearchpeer-review

vegetation
spikes
diffusivity
anisotropy
thresholds

The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities

Tzou, J. & Ward, M., 15 Jun 2018, In : Physica D: Nonlinear Phenomena. 373, p. 13-37 25 p.

Research output: Contribution to journalArticleResearchpeer-review

inhibitors
rings
saddles
diffusivity
reaction kinetics
2017

Optimization of first passage times by multiple cooperating mobile traps

Lindsay, A. E., Tzou, J. C. & Kolokolnikov, T., 2017, In : Multiscale Modeling and Simulation. 15, 2, p. 920-947 28 p.

Research output: Contribution to journalArticleResearchpeer-review

First Passage Time
Trap
traps
Boundary conditions
absorbing boundary

The stability and slow dynamics of localized spot patterns for the 3-D Schnakenberg reaction-diffusion model

Tzou, J. C., Xie, S., Kolokolnikov, T. & Ward, M. J., 2017, In : SIAM Journal on Applied Dynamical Systems. 16, 1, p. 294-336 43 p.

Research output: Contribution to journalArticleResearchpeer-review

Reaction-diffusion Model
3D Model
Linear Stability
Equilibrium Point
Eigenvalues and eigenfunctions

Transition to blow-up in a reaction-diffusion model with localized spike solutions

Rottschaffer, V., Tzou, J. C. & Ward, M. J., 2017, In : European Journal of Applied Mathematics. 28, 6, p. 1015-1055 41 p.

Research output: Contribution to journalArticleResearchpeer-review

Reaction-diffusion Model
Spike
Blow-up
Linear Stability
Finite Time Blow-up
2016

Hybrid asymptotic-numerical approach for estimating first passage time densities of the two-dimensional narrow capture problem

Lindsay, A. E., Spoonmore, R. T. & Tzou, J. C., 24 Oct 2016, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 94, 4, p. 1-17 17 p., 042418.

Research output: Contribution to journalArticleResearchpeer-review

estimating
traps
Green's functions
point sources
statistics

Weakly nonlinear analysis of vortex formation in a dissipative variant of the Gross-Pitaevskii equation

Tzou, J. C., Kevrekidis, P. G., Kolokolnikov, T. & Carretero-Gonzalez, R., 2016, In : SIAM Journal on Applied Dynamical Systems. 15, 2, p. 904–922 19 p.

Research output: Contribution to journalArticleResearchpeer-review

Gross-Pitaevskii Equation
Nonlinear analysis
Nonlinear Analysis
Symmetry Breaking
Vortex
2015

Asymptotic analysis of first passage time problems inspired by ecology

Kurella, V., Tzou, J. C., Coombs, D. & Ward, M. J., Jan 2015, In : Bulletin of Mathematical Biology. 77, 1, p. 83-125 43 p.

Research output: Contribution to journalArticleResearchpeer-review

Mean First Passage Time
Asymptotic analysis
First Passage Time
Ecology
Asymptotic Analysis

Mean first passage time for a small rotating trap inside a reflective disk

Tzou, J. C. & Kolokolnikov, T., 2015, In : Multiscale Modeling and Simulation. 13, 1, p. 231-255 25 p.

Research output: Contribution to journalArticleResearchpeer-review

Mean First Passage Time
Angular velocity
Trap
Rotating
traps

Narrow escape problem with a mixed trap and the effect of orientation

Lindsay, A. E., Kolokolnikov, T. & Tzou, J. C., 2015, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 91, 3, 15 p., 032111.

Research output: Contribution to journalArticleResearchpeer-review

escape
traps
alignment
eigenvalues
Green's functions

Patterned vegetation, tipping points, and the rate of climate change

Chen, Y., Kolokolnikov, T., Tzou, J. & Gai, C., 2015, In : European Journal of Applied Mathematics. 26, 6, p. 945-958 14 p.

Research output: Contribution to journalArticleResearchpeer-review

Climate Change
Vegetation
Climate change
Resources
Precipitation (meteorology)

Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems

Tzou, J. C., Ward, M. J. & Kolokolnikov, T., 1 Jan 2015, In : Physica D: Nonlinear Phenomena. 290, p. 24-43 20 p.

Research output: Contribution to journalArticleResearchpeer-review

spikes
pulse detonation engines
tuning
partial differential equations
eigenvalues
2014

First passage times, mobile traps, and Hopf bifurcations

Tzou, J. C., Xie, S. & Kolokolnikov, T., 2014, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 90, 6, 10 p., 062138.

Research output: Contribution to journalArticleResearchpeer-review

traps
spikes
thresholds
uniqueness
sinks
2013

Homoclinic snaking near a codimension-two Turing-Hopf bifurcation point in the Brusselator model

Tzou, J. C., Ma, Y-P., Bayliss, A., Matkowsky, B. J. & Volpert, V. A., 2013, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 87, 2, p. 1-20 20 p., 022908.

Research output: Contribution to journalArticleResearchpeer-review

lateral oscillation
saddles
boundary value problems
wavelengths
phase shift

Optimal covering points and related problems

Tzou, J. & Wetton, B., 2013, In : Canadian Applied Mathematics Quarterly. 21, 3, p. 379-389 11 p.

Research output: Contribution to journalArticleResearchpeer-review

Covering
Placement
Circle
Set of points
Radius

The stability of localized spikes for the 1-D Brusselator reaction–diffusion model

Tzou, J. C., Nec, Y. & Ward, M. J., Aug 2013, In : European Journal of Applied Mathematics. 24, 4, p. 515-564 50 p.

Research output: Contribution to journalArticleResearchpeer-review

Reaction-diffusion Model
Spike
Nonlocal Problems
Eigenvalue Problem
Reaction-diffusion System
2011

Interaction of Turing and Hopf modes in the superdiffusive Brusselator model near a codimension two bifurcation point

Tzou, J. C., Bayliss, A., Matkowsky, B. J. & Volpert, V. A., 2011, In : Mathematical Modelling of Natural Phenomena. 6, 1, p. 87-118 32 p.

Research output: Contribution to journalArticleResearchpeer-review

Turing
Bifurcation Point
Codimension
Superdiffusion
Interaction

Stationary and slowly moving localized pulses in a singularly perturbed Brusselator model

Tzou, J. C., Bayliss, A., Matkowsky, B. J. & Volpert, V. A., Oct 2011, In : European Journal of Applied Mathematics. 22, 5, p. 423-453 31 p.

Research output: Contribution to journalArticleResearchpeer-review

Singularly Perturbed
Delta functions
Inhibitor
Linearization
Nonlinear equations
2009

Interaction of Turing and Hopf modes in the superdiffusive Brusselator model

Tzou, J., Matkowsky, B. & Volpert, V., 2009, In : Applied Mathematics Letters. 22, 9, p. 1432-1437

Research output: Contribution to journalArticleResearchpeer-review

Turing
Superdiffusion
Amplitude Equations
Interaction
Integro-differential Operators