Zilong Song

Publications | Journal Articles

Academic Journal

• Xiao, S., Huang, H., Eisenberg, R., Song, Z., Xu, S., (2025). Potassium Clearance in Optic Nerve: A Multidomain Model. Frontiers in Bioscience-Landmark, 30:7, 39722.
• Song, Z., Xu, S., Eisenberg, R., Huang, H., (2024). A multi-domain model for microcirculation in optic nerve: blood flow and oxygen transport. arXiv preprint arXiv:2401.08853
• 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.
• Bao, X., Huang, H., Song, Z., Xu, S., (2024). Micro-macro modeling of polymeric fluids and shear-induced microscopic behaviors with bond-breaking. Physical Review Fluids, 9:10, 103301.
• Song, Z., Eisenberg, R., Xu, S., Huang, H., (2023). A bubble model for the gating of Kv channels. IMA Journal of Applied Mathematics, 88:5, 805--836.
• Xu, S., Eisenberg, R., Song, Z., Huang, H., (2023). Coupled chemical reactions: Effects of electric field, diffusion, and boundary control. Physical Review E, 108:6, 064413.
• 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
• 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.
• Xu, S., Song, Z., Eisenberg, R., Huang, H., Interaction of Ionic Solution with Permeable Membranes: A Variational Approach . Journal of Mathematical Study

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.