8 papers
Machine Learning for Complex Systems Dynamics: Detecting Bifurcations in Dynamical Systems with Deep Neural Networks
Swadesh Pal, Roderick Melnik
Critical transitions are the abrupt shifts between qualitatively different states of a system, and they are crucial to understanding tipping points in complex dynamical systems acr…
Adaptive modelling of anti-tau treatments for neurodegenerative disorders based on the Bayesian approach with physics-informed neural networks
Swadesh Pal, Roderick Melnik
Alzheimer's disease (AD) is a complex neurodegenerative disorder characterized by the accumulation of amyloid-beta (A) and phosphorylated tau (p-tau) proteins, leading to cogni…
Complex non-Markovian dynamics and the dual role of astrocytes in Alzheimer's disease development and propagation
Swadesh Pal, Roderick Melnik
Alzheimer's disease (AD) is a common neurodegenerative disorder nowadays. Amyloid-beta (A) and tau proteins are among the main contributors to the development or propagation of…
Analysis of the impact of fear in the presence of additional food and prey refuge with nonlocal predator-prey models
Sangeeta Saha, Swadesh Pal, Roderick Melnik
There are many positive and negative factors present in the predator-prey interaction which affect the net growth of the species. Fear of predation is one such factor that creates…
Nonlocal Models in Biology and Life Sciences: Sources, Developments, and Applications
Swadesh Pal, Roderick Melnik
Nonlocality is important in realistic mathematical models of physical and biological systems when local models fail to capture the essential dynamics and interactions that occur ov…
Innate behavioural mechanisms and defensive traits in ecological models of predator-prey types
Sangeeta Saha, Swadesh Pal, Roderick Melnik
There are various examples of phenotypic plasticity in ecosystems that serve as the basis for a wide range of inducible defences against predation. These strategies include camoufl…