Publications
Publications
Journal Articles
S. Pal and R. Melnik, Machine learning for complex systems dynamics: Detecting critical transitions with deep neural networks (Submitted).
S. Pal and R. Melnik, Adaptive modelling of anti-tau treatments for neurodegenerative disorders based on the Bayesian approach with physics-informed neural networks (Submitted).
S. Saha, S. Pal, and R. Melnik, Innate behavioural mechanisms and defensive traits in ecological models of predator-prey types (Submitted).
S. Saha, S. Pal, and R. Melnik, The role of inducible defence in ecological models: effects of nonlocal intraspecific competitions (Submitted).
S. Pal, Existence and uniqueness in nonlocal predator-prey models with intraspecific prey competition (Submitted).
K. Manna, S. Pal, and M. Banerjee, Effects of spatiotemporal, temporal and spatial nonlocal prey competitions on population distributions for a prey-predator system with generalist predation, Discrete Contin. Dyn. Syst. B (2025).
S. Saha, S. Pal, and R. Melnik, Nonlocal cooperative behaviour, psychological effects, and collective decision-making: an exemplification with predator-prey models, Math. Methods Appl. Sci. (2025).
S. Pal, Impact of spatial dimension on spatio-temporal pattern formations, Physica A (2025).
S. Saha, S. Pal, and R. Melnik, Analysis of the impact of fear in the presence of additional food and prey refuge with nonlocal predator-prey models, Ecological Modelling (2025).
S. Pal and R. Melnik, Complex non-Markovian dynamics and the dual role of astrocytes in Alzheimer's disease development and propagation, Quantitative Biology (2025).
S. Pal and R. Melnik, Nonlocal models in biology and life sciences: sources, developments, and applications, Physics of Life Reviews (2025).
S. Pal and R. Melnik, Nonequilibrium landscape of amyloid-beta and calcium ions in application to Alzheimer's disease, Phy. Rev. E (2025).
S. Pal, M. Banerjee, and R. Melnik, Nonequilibrium dynamics in a noise-induced predator-prey model, Chaos Solitons Fractals (2025).
R. Yadav, M. Sen, and S. Pal, Impact of diffusion-driven instability on travelling wave solutions, Phy. Rev. E (2025).
S. Pal, M. Banerjee, and R. Melnik, The role of soil surface in a sustainable semiarid ecosystem, PLoS ONE (2024).
I. Gaine, S. Pal, P. Chatterjee, and M. Banerjee, Structural sensitivity of chaotic dynamics in Hastings-Powell's model, Int. J. Bif. Chaos (2024).
S. Pal, R. Melnik, and M. Banerjee, Pattern alternations induced by nonlocal interactions, Commun. Math. Sci. (2024).
R. Yadav, S. Pal, and M. Sen, The effect of nonlocal interaction on chaotic dynamics, Turing patterns, and population invasion in a prey-predator model, Chaos (2023).
H. Shaheen, S. Pal, and R. Melnik, Astrocytic clearance and fragmentation of toxic proteins in Alzheimer’s disease on large-scale brain networks, Phys. D: Nonlinear Phenom. (2023).
H. Shaheen, S. Pal, and R. Melnik, Multiscale co-simulation of deep brain stimulation with brain networks in neurodegenerative disorders, Brain Multiphysics (2022).
M. Banerjee, S. Pal, and P. R. Chowdhury, Stationary and non-stationary pattern formation over fragmented habitat, Chaos Solitons Fractals (2022).
Conference Papers and Book Chapters
S. Pal and R. Melnik, Regulating toxic amyloid-beta oligomers in Alzheimer's disease: a control theory approach, IWBBIO-2025 (Accepted).
S. Pal and R. Melnik, Parkinson's disease progression and treatment dynamics accounting for nonlocality of bioneurological processes, IWBBIO-2024 (2024).
S. Pal and R. Melnik, Modelling of anti-amyloid-beta therapy for Alzheimer’s disease, IWBBIO-2023 (2023).
S. Pal, H. Shaheen, and R. Melnik, The influence of amyloid-beta on calcium dynamics in Alzheimer's disease: a spatio-temporal study, ICCSA (2022).
S. Pal and R. Melnik, The role of astrocytes in Alzheimer's disease progression, IWBBIO-2022 (2022).