Publications

T. Thieu and R. Melnik, Social human collective decision-making and its applications with brain network models, in “Crowd Dynamics”, Volume 4: Analytics and Human Factors in Crowd Modeling, N. Bellomo and L. Gibelli (Eds.), Birkhauser Verlag, Springer, 2023.

T. K. T. Thieu, A. Muntean and R. Melnik. Coupled stochastic systems of Skorokhod type: well-posedness of a mathematical model and its applications. Mathematical Methods in the Applied Sciences, Vol. 46, 6, pp. 7368-7390, 2023.

T. K. T. Thieu and R. Melnik. Coupled effects of channels and synaptic dynamics  in stochastic modelling of healthy and PD-affected brains. Bioengineering (AIMS), Vol. 9, 2, pp. 213-238, 2022.

T. K. T. Thieu and R. Melnik. Effects of noise on leaky integrate-and-fire neuron models for neuromorphic computing applications. In: Gervasi, O., Murgante, B., Hendrix, E.M.T., Taniar, D., Apduhan, B.O. (eds) Computational Science and Its Applications – ICCSA 2022. Lecture Notes in Computer Science, vol 13375, pp. 3-18, Springer, Cham (16 pages).

T. K. T. Thieu and R. Melnik. Effects of random inputs and short-term synaptic plasticity in a LIF conductance model for working memory applications. In: Rojas, I., Valenzuela, O., Rojas, F., Herrera, L.J., Ortuño, F. (eds) Bioinformatics and Biomedical Engineering. IWBBIO 2022. Lecture Notes in Computer Science, vol 13346. Springer, Cham (14 pages).

 T. K. T. Thieu and R. Melnik. Combining Coupled Skorokhod SDEs and Lattice Gas Frameworks for Multi-fidelity Modelling of Complex Behavioral Systems.  Proceedings of the IX International Conference on Computational Methods for Coupled Problems in Science and Engineering, Coupled Problems (2021), 12 pages, CIMNE, Barcelona, Spain.

 T. K. T. Thieu, M. Colangeli and A. Muntean. Uniqueness and stability with respect to parameters of solutions to a fluid-like driven system for active--passive pedestrian dynamics.  Journal of Mathematical Analysis and Applications, Vol. 495, no. 124702, 2021.

 V. A. Khoa, T. K. T. Thieu and E. R. Ijioma. On a pore-scale stationary diffusion equation: scaling effects and correctors for the homogenization limit. Discrete and Continuous Dynamical Systems Series B, Vol. 26, no. 5, pp. 2451-2477, 2021.

 E. N. M. Cirillo, M. Colangeli, A. Muntean and T. K. T. Thieu. When diffusion faces drift: consequences of exclusion processes for bi--directional pedestrian flows. Physica D: Nonlinear Phenomena, Vol. 413, no. 132651, 2020.

 E. N. M. Cirillo, M. Colangeli, A. Muntean and T. K. T. Thieu. A lattice model for active - passive pedestrian dynamics: a quest for drafting effects. Mathematical Biosciences and Engineering, Vol. 17, 1, pp. 460-477, 2019.

 T. K. T. Thieu, M. Colangeli and A. Muntean. Weak solvability of a fluid-like driven system for active-passive pedestrian dynamics.  Nonlinear Studies, Vol. 26, no. 4, pp. 991-1006, 2019.

 M. Colangeli, A. Muntean, O. Richardson and T. K. T. Thieu. Modeling Interactions Between Active and Passive Agents Moving Through Heterogeneous Environments. In G. Libelli, N. Bellomo (Eds), Crowd Dynamics, vol. 1: Theory, Models and Safety Problems (pp. 211--254).  Modeling and Simulation in Science, Engineering and Technology, Boston, Birkhauser, Springer, 2019.

T. K. T. Thieu and R. Melnik. Modelling the behavior of human crowds as coupled active-passive dynamics of interacting particle systems, under review.