On the Mean First Arrival Time of Brownian Particles on Riemannian Manifolds

Leo Tzou , Justin C. Tzou , Medet Nursultanov
Journal de Mathématiques Pures et Appliquées 150 202 -240

2021
A cell topography-based mechanism for ligand discrimination by the T cell receptor.

Ricardo A. Fernandes , Kristina A. Ganzinger , Justin C. Tzou , Peter Jönsson
Proceedings of the National Academy of Sciences of the United States of America 116 ( 28) 14002 -14010

30
2019
First-passage times, mobile traps, and Hopf bifurcations.

Justin C. Tzou , Shuangquan Xie , Theodore Kolokolnikov
Physical Review E 90 ( 6) 062138 -062138

9
2014
Asymptotic Analysis of First Passage Time Problems Inspired by Ecology

Venu Kurella , Justin C. Tzou , Daniel Coombs , Michael J. Ward
Bulletin of Mathematical Biology 77 ( 1) 83 -125

40
2015
Patterned vegetation, tipping points, and the rate of climate change

YUXIN CHEN , THEODORE KOLOKOLNIKOV , JUSTIN TZOU , CHUNYI GAI
European Journal of Applied Mathematics 26 ( 6) 945 -958

20
2015
8
2020
Homoclinic snaking near a codimension-two Turing-Hopf bifurcation point in the Brusselator model

JC Tzou , Y-P Ma , A Bayliss , BJ Matkowsky
Physical Review E 87 ( 2) 022908

10
2013
Narrow escape problem with a mixed trap and the effect of orientation

AE Lindsay , T Kolokolnikov , JC Tzou
Phys. Rev. E 91 ( 032111)

40
2015
Anomalous scaling of Hopf bifurcation thresholds for the stability of localized spot patterns for reaction-diffusion systems in two dimensions

J. C. Tzou , M. J. Ward , J. C. Wei
Siam Journal on Applied Dynamical Systems 17 ( 1) 982 -1022

5
2018
Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation

J. C. Tzou , P. G. Kevrekidis , T. Kolokolnikov , R. Carretero-González
Siam Journal on Applied Dynamical Systems 15 ( 2) 904 -922

3
2016
Optimization of First Passage Times by Multiple Cooperating Mobile Traps

A. E. Lindsay , J. C. Tzou , T. Kolokolnikov
Multiscale Modeling & Simulation 15 ( 2) 920 -947

8
2017
The Stability and Slow Dynamics of Localized Spot Patterns for the 3-D Schnakenberg Reaction-Diffusion Model

J. C. Tzou , S. Xie , T. Kolokolnikov , M. J. Ward
Siam Journal on Applied Dynamical Systems 16 ( 1) 294 -336

12
2017
Analysis of spot patterns on a coordinate-invariant model for vegetation on a curved terrain

J. C. Tzou , L. Tzou
Siam Journal on Applied Dynamical Systems 19 ( 4) 2500 -2529

2020
7
2016
Mean First Passage Time for a Small Rotating Trap inside a Reflective Disk

J. C. Tzou , T. Kolokolnikov
Multiscale Modeling & Simulation 13 ( 1) 231 -255

6
2015
Interaction of Turing and Hopf Modes in the Superdiffusive Brusselator Model Near a Codimension Two Bifurcation Point

J. C. Tzou , A. Bayliss , B.J. Matkowsky , V.A. Volpert
Mathematical Modelling of Natural Phenomena 6 ( 1) 87 -118

16
2011
Constraining CD45 exclusion at close-contacts provides a mechanism for discriminatory T-cell receptor signalling

Ricardo A Fernandes , Kristina A Ganzinger , Justin Tzou , Peter Jonsson
bioRxiv 109785

1
2017
A Novel Applicator Design for Contact-Free Delivery of Aqueous Reagent to Individual Biopsies in a Tissue Microarray

Dylan Gunn , Jared Slobodan , Cheyenne Kamran , Justin Tzou
Journal of Laboratory Automation 12 ( 5) 277 -283

1
2007