J. Brannick, A. Kirshtein, and C. Liu, Decoupled energy stable numerical method for degenerate multi-component phase-field systems, // (in preparation)
A. Kirshtein, C. Liu, L. Shahriyari, and Y. Wang, On variational approach for reaction-diffusion tumor growth model, // (in preparation)
Q. Yang, Y. Gao, and A. Kirshtein, Phase-field-mechanics modeling of sintering: crystallites growth and polycrystallinity effect, // (in preparation)
J. H. Adler, X. Hu, and A. Kirshtein, Variational model of fluid in poroelastic medium, // (in preparation)
C. Börgers, N. Dragovic, A. Kirshtein, Candidate-Voter Dynamics, // (submitted)
X. Dai , B. Qian, A. Kirshtein, Q. Yang, A Phase-Field-Micromechanics Study on the Microstructural Evolution during Viscous Sintering,// Powder Technology, 456 (2025): 120823 (url) (arXiv)
Q. Yang and A. Kirshtein, A thermodynamically consistent phase-field-micromechanics model of sintering with coupled diffusion and grain motion, // Journal of the American Ceramic Society, 2025, 108 (3), e20279 (url) (arXiv)
C. Börgers, N. Dragovic, A. Haensch, A. Kirshtein, A particle method for continuous Hegselmann-Krause opinion dynamics, // In: Cherifi, H., Rocha, L.M., Cherifi, C., Donduran, M. (eds) Complex Networks & Their Applications XII. COMPLEX NETWORKS 2023. Studies in Computational Intelligence, vol 1142, pp 457–469. Springer, Cham. (url) (arXiv)
C. Börgers, N. Dragovic, A. Haensch, A. Kirshtein, L. Orr, ODEs and Mandatory Voting, //CODEE Journal: Vol. 17, Article 11. (url) (arXiv)
Q. Yang, Y. Gao, A. Kirshtein, Q. Zhen, C. Liu, A free-energy-based and interfacially consistent phase-field model for solid-state sintering without artificial void generation, //Computational Materials Science. 2023, 229: 112387. (url)
A. Budithi, S. Su, A. Kirshtein, L. Shahriyari, Data driven mathematical model of FOLFIRI treatment for colon cancer, //Cancers. 2021, 13(11), 2632. (url) (PDF)
T. Le, S. Su, A. Kirshtein, L Shahriyari, Data driven mathematical model of osteosarcoma, //Cancers. 2021; 13(10):2367. (url) (PDF)
A. Kirshtein, S. Akbarinejad, W. Hao, T. Le, S. Su, R.A. Aronow, L. Shahriyari, Data Driven Mathematical Model of Colon Cancer Progression, //J. Clin. Med. 2020, 9, 3947. (url) (PDF)
T. Le, R. Aronow, A. Kirshtein, L. Shahriyari, A review of digital cytometry methods: estimating the relative abundance of cell types in a bulk of cells, //Briefing in Bioinformatics, 2020. (url)
J. Brannick, A. Kirshtein, and C. Liu, Analysis of the energy dissipation laws in multi-component phase-field models, //Communications in Mathematical Sciences, Vol. 18 (2020), No. 3, pp. 875 – 885. (url) (arXiv) (PDF)
Q. Yang, A. Kirshtein, Y. Ji, C. Liu, J. Shen, L.-Q. Chen, A thermodynamically consistent Phase-Field model for viscous sintering, //Journal of American Ceramic Society. 2018;00:1–12. (url) (PDF)
M.-H. Giga, A. Kirshtein, and C. Liu, Variational Modeling and Complex Fluids, //In Y. Giga and A. Novotny (eds). Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, pp. 1–41. Springer International Publishing, Cham, 2017. (url) (PDF)
J. Brannick, A. Kirshtein, and C. Liu, Dynamics of multi-component flows: diffusive interface methods with energetic variational approaches, //In: Hashmi, S and Buggy, M. (eds). Reference Module in Materials Science and Materials Engineering, pp 1 -- 7. Elsevier, Oxford, 2016. (url) (PDF)
M. Tournus, A. Kirshtein, L. V. Berlyand, and I. S. Aranson, Flexibility of bacterial flagella in external shear results in complex swimming trajectories //Journal of The Royal Society Interface, 2015, 12; Published 5 November 2014. (url)
P.P.Matus, A.A. Kirshtein, U. A. Irkhin, Exact difference schemes for the system of acoustic equations and analysis of Riemann problem //Journal of Numerical and Applied Mathematics, No. 2, 2011, pp.83-97