Submitted and Preprints:
J.C. Viemari, A.J. Garcia, and Y. Wang, Fast excitatory and inhibitory synaptic transmission in the central control of breathing. Comprehensive physiology, under review
Peer-Reviewed Publications:
N.A. Phan and Y. Wang, Mixed-Mode Oscillations in a Three-Timescale Coupled Morris-Lecar System, Chaos: An Interdisciplinary Journal of Nonlinear Science, 34, no. 5, 2024 (Editor's Pick)
Y. Wang, J.P. Gill, H.J. Chiel and P.J. Thomas, Variational and phase response analysis for limit cycles with hard boundaries, with applications to neuromechanical control problems, Biological Cybernetics, 116, 687–710, 2022
Y. Wang, Z. Huang, F. Antoneli and M. Golubitsky, The Structure of Infinitesimal Homeostasis in Input-Output Networks, Journal of Mathematical Biology, 82(7), 1--43. 2021
Y. Wang, J.P. Gill, H.J. Chiel and P.J. Thomas, Shape versus timing: linear responses of a limit cycle with hard boundaries under instantaneous and static perturbation, SIAM Journal on Applied Dynamical Systems, 20(2), 701--744, 2021
B. Pittman-Polletta, Y. Wang, D. Stanley, C. Schroeder, M. Whittington, N. Kopell, Differential contributions of synaptic and intrinsic inhibitory currents to parsing via flexible phase-locking in neural oscillators, PLoS Computational Biology, 17(4), e1008783, 2021
Y. Wang and J. Rubin, Complex bursting dynamics in an embryonic respiratory neuron model, Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(4), 043127, 2020. Link
P. Gandhi, M. Golubitsky, C. Postlethwaite, I. Stewart and Y. Wang, Bifurcations on fully inhomogeneous networks, SIAM Journal on Applied Dynamical Systems, 19(1), 366-411 (46 pages), 2020. Link
M. Golubitsky and Y. Wang, Infinitesimal homeostasis in three-node input–output networks, Journal of Mathematical Biology, 1--23, 2020. Link
Y. Wang and J. Rubin, Timescales and Mechanisms of Sigh-like Bursting and Spiking in Models of Rhythmic Respiratory Neurons, Journal of Mathematical Neuroscience, 7(1): 3, 2017. Link
Y. Wang and J. Rubin, Multiple Time Scale Mixed Bursting Dynamics in a Respiratory Neuron Model, Journal of Computational Neuroscience, 41(3), 245-268, 2016. Link
P. Nan, Y. Wang, V. Kirk, J. Rubin, Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris--Lecar System, SIAM Journal on Applied Dynamical Systems, 14:3, 1518-1557, 2015. Link
L. Liu, A. Vainchtein and Y. Wang, Kinetics of a Twinning Step, Mathematics and Mechanics of Solids, 19(7), 832–851, 2014. Link
Book Chapter
M. Golubitsky and I. Stewart and F. Antoneli and Z. Huang and Y. Wang, Input-Output Networks, Singularity Theory, and Homeostasis, In Proceedings of the Workshop on Dynamics, Optimization and Computation held in honor of the 60th birthday of Michael Dellnitz (pp. 31-65). Springer, Cham, 2020. Link
S. Clifton, C. Davis, S. Erwin, G. Hamerlinck, A. Veprauskas, Y. Wang, W. Zhang and H. Gaff, Modeling the argasid tick (ornithodoros moubata) life cycle, ComplexBioSysMath, Springer International Publishing, 63--87, 2018. Link
Thesis:
Analysis of Complex Bursting Patterns in Multiple Timescale Respiratory Neuron Models , 2016, August