89 citations · 139 across the 19 of their papers we have counts for
5 papers · 1 filter
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…
Coupled stochastic systems of Skorokhod type: well-posedness of a mathematical model and its applications
Thi Kim Thoa Thieu, Adrian Muntean, Roderick Melnik
Population dynamics with complex biological interactions, accounting for uncertainty quantification, is critical for many application areas. However, due to the complexity of biolo…
Effects of random inputs and short-term synaptic plasticity in a LIF conductance model for working memory applications
Thi Kim Thoa Thieu, Roderick Melnik
Working memory (WM) has been intensively used to enable the temporary storing of information for processing purposes, playing an important role in the execution of various cognitiv…
Effects of noise on leaky integrate-and-fire neuron models for neuromorphic computing applications
Thi Kim Thoa Thieu, Roderick Melnik
Artificial neural networks (ANNs) have been extensively used for the description of problems arising from biological systems and for constructing neuromorphic computing models. The…
Modelling the behavior of human crowds as coupled active-passive dynamics of interacting particle systems
Thi Kim Thoa Thieu, Roderick Melnik
The modelling of human crowd behaviors offers many challenging questions to science in general. Specifically, the social human behavior consists of many physiological and psycholog…