Zilong Song
Mathematics and Statistics
Assistant Professor
![Zilong Song](/math/images/people/zilong-song.jpg)
Contact Information
Office Location: Animal Science (ANSC) 222APhone: (435) 797-1289
Email: Zilong.Song@usu.edu
Biography
Dr. Song received his Ph.D. in applied mathematics from City University of Hong Kong. Before joining USU, Dr. Song was a postdoctoral fellow at York University and Fields Institute, under the supervision of Dr. Huaxiong Huang and Dr. Jianhong Wu. Dr. Song works in interdisciplinary areas of applied mathematics, including ion transport systems, disease modeling, continuum mechanics etc. He has also been working on asymptotic analysis of systems with small parameters or special structures. Dr. Song is interested in modeling, analysis and computation of various biological systems.
Teaching Interests
Calculus, Numerical methods, Ordinary differential equations, Partial differential equations
Research Interests
Asymptotic Analysis,Mathematical Biology, Disease Modeling, Ion transport in Ion Channels and Cells, Solid and Fluid Mechanics, Industrial Problem and Machine Learning
Publications | Journal Articles
Academic Journal
- Xiao, C., Sun, Y., Huang, H., Yue, X., Song, Z., David, T., Xu, S., (2024). Cellular communication among smooth muscle cells: The role of membrane potential via connexins. Journal of theoretical biology, 576, 111627.
- Qin, Y., Huang, H., Song, Z., Xu, S., (2023). Droplet dynamics: A phase-field model of mobile charges, polarization, and its leaky dielectric approximation. Physics of Fluids, 35:8
- Xu, S., Eisenberg, R., Song, Z., Huang, H., (2023). Mathematical Model for Chemical Reactions in Electrolytes Applied to Cytochrome c Oxidase: An Electro-Osmotic Approach. Computation, 11:12, 253.
- Wu, X., Gao, D., Song, Z., Wu, J., (2023). Modelling Trypanosoma cruzi-Trypanosoma rangeli co-infection and pathogenic effect on Chagas disease spread. Discrete and Continuous Dynamical Systems-B, 28:2, doi: 10.3934/dcdsb.2022110
- Xu, S., Song, Z., Eisenberg, R., Huang, H., Interaction of Ionic Solution with Permeable Membranes: A Variational Approach . Journal of Mathematical Study
- Cao, X., Fraser, K., Song, Z., Drummond, C., Huang, H., (2021). Machine learning and reduced order computation of a friction stir welding model. Journal of Computational Physics, 110863.
- Shen, L., Huang, H., Lin, P., Song, Z., Xu, S., (2020). An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density. Journal of Computational Physics, 405, 109179.
- Song, Z., (2020). Analytical study on phase transition of shape memory alloy wire under uniaxial tension. International Journal of Engineering Science, 152, 103295.
- Song, Z., Cao, X., Horng, T., Huang, H., (2020). Electric discharge of electrocytes: Modelling, analysis and simulation. Journal of theoretical biology, 498, 110294.
- Cao, X., Song, Z., Horng, T., Huang, H., (2020). Electric potential generation of electrocytes: Modelling, analysis, and computation. Journal of theoretical biology, 487, 110107.
- Wu, X., Gao, D., Song, Z., Wu, J., (2020). Modelling triatomine bug population and Trypanosoma rangeli transmission dynamics: Co-feeding, pathogenic effect and linkage with chagas disease. Mathematical biosciences, 324, 108326.
- Sadiku, J., Song, Z., Wu, J., (2019). Modeling of lone star ticks with deer migration to canada. Journal of Nonlinear Modeling and Analysis, 1:4, 425--442.
- Song, Z., Wang, J., Dai, H., (2019). On a consistent dynamic finite-strain shell theory and its linearization. Mathematics and Mechanics of Solids, 24:8, 2335--2360.
- Song, Z., Cao, X., Horng, T., Huang, H., (2019). Selectivity of the KcsA potassium channel: Analysis and computation. Physical Review E, 100:2, 022406.
- Song, Z., Cao, X., Huang, H., (2018). Electroneutral models for a multidimensional dynamic poisson-nernst-planck system. Physical Review E, 98:3, 032404.
- Song, Z., Cao, X., Huang, H., (2018). Electroneutral models for dynamic Poisson-Nernst-Planck systems. Physical Review E, 97:1, 012411.
- Chen, X., Song, Z., Dai, H., (2018). Pointwise error estimate for a consistent beam theory. Analysis and Applications, 16:01, 103--132.
- Song, Z., Wong, R., (2017). Asymptotics of Pseudo-Jacobi Polynomials with Varying Parameters. Studies in Applied Mathematics, 139:1, 179--217.
- Song, Z., Dai, H., (2016). On a consistent dynamic finite-strain plate theory and its linearization. Journal of Elasticity, 125:2, 149--183.
- Wang, J., Song, Z., Dai, H., (2016). On a consistent finite-strain plate theory for incompressible hyperelastic materials. International Journal of Solids and Structures, 78, 101--109.
- Song, Z., Dai, H., (2016). On a consistent finite-strain shell theory based on 3-D nonlinear elasticity. International Journal of Solids and Structures, 97, 137--149.
- Song, Z., Dai, H., (2015). Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions. International Journal of Engineering Science, 88, 40--63.
- Dai, H., Song, Z., (2014). On a consistent finite-strain plate theory based on three-dimensional energy principle. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470:2171, 20140494.
- Song, Z., Dai, H., Sun, Q., (2013). Propagation stresses in phase transitions of an SMA wire: new analytical formulas based on an internal-variable model. International Journal of Plasticity, 42, 101--119.
- Dai, H., Song, Z., (2011). Some analytical formulas for the equilibrium states of a swollen hydrogel shell. Soft Matter, 7:18, 8473--8483.
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.
Publications | Other
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.