89 citations · 139 across the 19 of their papers we have counts for
4 papers · 1 filter
Nonlocal Models in the Analysis of Brain Neurodegenerative Protein Dynamics with Application to Alzheimer's Disease
Swadesh Pal, Roderick Melnik
It is well known that today nearly one in six of the world's population has to deal with neurodegenerative disorders. While a number of medical devices have been developed for the…
Deep brain stimulation with a computational model for the cortex-thalamus-basal-ganglia system and network dynamics of neurological disorders
Hina Shaheen, Roderick Melnik
Deep brain stimulation (DBS) can alleviate the movement disorders like Parkinson's disease (PD). Indeed, it is known that aberrant beta (13-30Hz)oscillations and the loss of dopami…
Coupled effects of channels and synaptic dynamics in stochastic modelling of healthy and Parkinson's-disease-affected brains
Thi Kim Thoa Thieu, Roderick Melnik
Our brain is a complex information processing network in which the nervous system receives information from the environment to quickly react to incoming events or learns from exper…
Combining Coupled Skorokhod SDEs and Lattice Gas Frameworks for Multi-fidelity Modelling of Complex Behavioral Systems
Thi Kim Thoa Thieu, Roderick Melnik
To model reliably behavioral systems with complex bio-social interactions, accounting for uncertainty quantification, is critical for many application areas. However, in terms of t…