2 citations · 5 across the 13 of their papers we have counts for
13 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 cognit…
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…
The role of inducible defence in ecological models: Effects of nonlocal intraspecific competitions
Sangeeta Saha, Swadesh Pal, Roderick Melnik
Phenotypic plasticity is a key factor in driving the evolution of species in the predator-prey interaction. The natural environment is replete with phenotypic plasticity, which is…
Brain Network Dynamics and Multiscale Modelling of Neurodegenerative Disorders: A Review
Hina Shaheen, Roderick Melnik
It is essential to understand the complex structure of the human brain to develop new treatment approaches for neurodegenerative disorders (NDDs). This review paper comprehensively…
Bayesian Approaches for Revealing Complex Neural Network Dynamics in Parkinson's Disease
Hina Shaheen, Roderick Melnik
Parkinson's disease (PD) belongs to the class of neurodegenerative disorders that affect the central nervous system. It is usually defined as the gradual loss of dopaminergic neuro…
Nonlocal cooperative behaviour, psychological effects, and collective decision-making: an exemplification with predator-prey models
Sangeeta Saha, Swadesh Pal, Roderick Melnik
In bio-social models, cooperative behaviour has evolved as an adaptive strategy, playing multi-functional roles. One of such roles in populations is to increase the success of surv…
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…
The Role of Soil Surface in a Sustainable Semiarid Ecosystem
Swadesh Pal, Malay Banerjee, Roderick Melnik
Patterns in a semiarid ecosystem are important because they directly and indirectly affect ecological processes, biodiversity, and ecosystem resilience. Understanding the causes an…
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…
Social human collective decision-making and its applications with brain network models
Thoa Thieu, Roderick Melnik
In this chapter, we consider probabilistic drift-diffusion models and Bayesian inference frameworks to address this issue, assisting better social human decision-making. We provide…
Bayesian inference and role of astrocytes in amyloid-beta dynamics with modelling of Alzheimer's disease using clinical data
Hina Shaheen, Roderick Melnik, The Alzheimer's Disease Neuroimaging Initiative
Alzheimer's disease (AD) is a prominent, worldwide, age-related neurodegenerative disease that currently has no systemic treatment. Strong evidence suggests that permeable amyloid-…
Data-driven Stochastic Model for Quantifying the Interplay Between Amyloid-beta and Calcium Levels in Alzheimer's Disease
Hina Shaheen, Roderick Melnik, Sundeep Singh
The abnormal aggregation of extracellular amyloid- (Aβ) in senile plaques resulting in calcium (Ca^{+2}) dyshomeostasis is one of the primary symptoms of Alzheimer's disease (AD…