I am an Assistant Professor in the School of Mathematics at the University of California, Riverside. I am interested in the analysis of dynamical systems and the application of mathematical models to biological systems.
Oscillations in Coupled Spatially Segregated Cells
Movement of MGUS in Growing Pollen Tubes
Reorientation of Stress Fibers Due to Period Forces
Conferences
Conferences, workshops and talks
AMS Western Sectional Special Session on Mathematical Biology, Riverside, USA, November 2019
Talk: Growth Control in the Drosophila Wing Imaginal Disc
SIAM Conference on the Life Sciences, Minnespolis, USA, August 2018
Talk: Microscopic and Macroscopic Descriptions of Morphogen Transport in Epithelial Tissues
Integrative Cell Models for Disease Intervention, Banff, Canada, June 2018
Talk: Combinatorial Signaling and Downstream Responses
Mathematics for Developmental Biology, Banff, Canada, December 2017
Talk: Asymptotic Analysis of Quorum-Sensing Behavior for a Coupled Cell Bulk-Diffusion Model in 2-D
Modelling of Tissue Growth and Form, Columbus, USA, March 2017
Poster: A Model for Autonomous and Non-Autonomous Effects of the Hippo Pathway in Drosophila
Canadian Applied and Industrial Mathematics Annual Meeting, Edmonton, Canada, June 2016
Talk(invited mini-symposium speaker): A 2-D Model of Dynamically Active Compartments Coupled by Bulk Diffusion
Mathematical Modeling in Industry Workshops, Vancouver, Canada, August 2014
Focus Program on Neurovascular Coupling and Related Phenomena, Toronto, Canada, July 2014
Canadian Applied and Industrial Mathematics Annual Meeting, Saskatoon, Canada, June 2014
Talk: Dynamics of Oscillators Coupled Through a Diffusive Signal
Frontiers in Biophysics Conference(member of organizing committee), Vancouver, Canada March 2013
IGTC in Mathematical Biology Annual Summit, Naramata, Canada, October 2012
Talk: Onset of Synchronized Oscillations via Diffusion of Signaling Molecules: One Model of Quorum Sensing
PIMS Hot Topics Workshop on Computational Criminology, Vancouver, Canada, September 2012
SIAM Conference on Nonlinear Waves and Coherent Structures, Seattle, USA, June 2012
International Congress on Industrial and Applied Mathematics(poster), Vancouver, Canada, July 2011
Poster: A Model of P2X2 Channels and Their Roles in Ligand-Induced Signaling in Pituitary Gonadotrophs
Mathematical Biology Workshop and IGTC Summit, Victoria, Canada, July 2011
Poster: A Model of P2X2 Channels and Their Roles in Ligand-Induced Signaling in Pituitary Gonadotrophs
MBI Workshop in Mathematical Neuroendocrinology, Columbus, USA, August 2010
Mathematics for Biological Networks Summer School, Victoria, Canada, May 2010
Other Talks
Seminar Talk at Ohio State University, Columbus, USA, October 2019
Talk: Theoretical and Computational Studies of Mathematical Models in Biology
Colloquium Talk at the University of California, Riverside, Riverside, USA, Feb 2019
Talk: Theoretical and Computational Studies of Mathematical Models in Biology
Publications
S. Iyaniwura, J. Gou, M. Ward, Synchronous Oscillations for a Coupled Cell-Bulk PDE-ODE model with Localized Cells on R^2, J. Eng. Math. 127 (18) link.
J. Stotsky, J. Gou, H. G. Othmer, A Random Walk Approach to Transport in Tissues and Complex Media: From Microscale Descriptions to Macroscale Models, submitted
J. Gou, J. A. Stotsky, H. G. Othmer, Growth control in the Drosophila wing disk, Wiley Interdisciplinary Reviews: Systems Biology and Medicine 12 (3), e1478 pdf.
J. Gou, L. Lin, H. G. Othmer, A Model for the Hippo Pathway in the Drosophila Wing Disc, Biophys. J., 115(4), (2018), pp. 737-747. pdf.
J. Gou, M. J. Ward, An Asymptotic Analysis of a 2-D Model of Dynamically Active Compartments Coupled by Bulk Diffusion, J. Nonl. Sci., 26(4), (2016), pp. 979-1029. pdf.
J. Gou, W. Nagata, Y. X. Li, Interaction of In-Phase and Anti-Phase Synchronies in a Coupled Compartment-Bulk diffusion Model at a Double Hopf Bifurcations, IMA J. Appl. Math., 81(6), (2016), pp. 1137-1162. pdf.
J. Gou, M. J. Ward, Oscillatory Dynamics for a Coupled Membrane-Bulk Diffusion Model with Fitzhugh-Nagumo Membrane Kinetics, SIAM J. Appl. Math., 76(2), (2016), pp. 776-804. pdf.
J. Gou, Y. X. Li, W. Nagata, M. J. Ward, Synchronized Oscillatory Dynamics for a 1-D Model of Membrane Kinetics Coupled by Linear Bulk Diffusion , SIAM J. Appl. Dyn. Sys., 14(4), (2015), pp. 2096-2137. pdf.
J. Gou, W. Y. Chiang, P. Y. Lai, M. J. Ward, Y. X. Li, A Theory of Synchrony by Coupling Through a Diffusive Chemical Signal, Physica D, 339, (2017), pp. 1-17. pdf.
J. Gou, L. Edelstein-Keshet, J. Allard, Mathematical model with spatially uniform regulation explains long-range bidirectional transport of early endosomes in fungal hyphae. Molecular Biology of the Cell, 25(16), (2014), pp. 2408-2415. pdf.
Teaching
University of California, Riverside
Spring 2021
Methods in Applied Mathematics (Math 206C)
Winter 2021
Introduction to Numerical Analysis II (Math 135B)
Fall 2020
Introduction to Numerical Analysis I (Math 135A)