Pattern Formation Problems Coupling Bulk Diffusion and Dynamically Active Boundaries

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• Synchronized Oscillatory Dynamics for a 1-D Model of Membrane Kinetics Coupled by Linear Bulk Diffusion
  with Jia Gou, Yue-Xian Li, and Wayne Nagata, (SIAM J. Appl. Dyn. Sys., Vol. 14 No. 4, (2015), pp. 2096-2137).

• Oscillatory Dynamics for a Coupled Membrane-Bulk Diffusion Model with Fitzhugh-Nagumo Kinetics
  with Jia Gou, (SIAM J. Appl. Math., Vol. 76, No. 2, (2016), pp. 776-804).

• Asymptotic Analysis of a 2-D Model of Dynamicaly Active Compartments Coupled by Bulk Diffusion
  with Jia Gou (J. Nonlinear Science, Vol. 26, No. 4, (2016), pp. 979-1029).

• A Theory of Synchrony by Coupling Through a Diffusive Chemical Signal
  with Jia Gou, Wei-Yin Chiang, Pik-Yin Lai, and Yue-Xian Li, (Physica D, Vol. 339 (2017), pp. 1-17).

• Pattern Formation and Oscillatory Dynamics in a 2-D Coupled Bulk-Surface Reaction-Diffusion Model
  with Frederic Paquin-Lefebrve and Wayne Nagata (SIAM J. Appl. Dyn. Sys., Vol. 18, No. 3, (2019), pp. 1334-1390.)

• The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer-Meinhardt Model
  with Daniel Gomez and Juncheng Wei (SIAM J. Appl. Dyn. Sys., Vol. 18, No. 2, (2019), pp. 729--768.)