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Coupled stochastic systems of Skorokhod type: well-posedness of a mathematical model and its applications
(2022)
Population dynamics with complex biological interactions, accounting for uncertainty quantification, is critical for
many application areas. However, due to the complexity of biological systems, the mathematical formulation ...
Effects of noise on leaky integrate-and-fire neuron models for neuromorphic computing applications
(2022)
Artificial neural networks (ANNs) have been extensively used
for the description of problems arising from biological systems and for
constructing neuromorphic computing models. The third generation of
ANNs, namely, ...
Effects of random inputs and short-term synaptic plasticity in a LIF conductance model for working memory applications
(2022)
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 cognitive tasks. Recent studies
have shown that ...
Nonlocal Models in the Analysis of Brain Neurodegenerative Protein Dynamics with Application to Alzheimer's Disease
(2021)
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 detection, prevention, and treatments of ...
The topology of higher-order complexes associated with brain hubs in human connectomes
(2020-12-01)
Higher-order connectivity in complex systems described by simplexes of different orders provides a geometry for simplex-based dynamical variables and interactions. Simplicial complexes that constitute a functional geometry ...
Modeling latent infection transmissions through biosocial stochastic dynamics
(2020-08)
The events of the recent SARS-CoV-2 epidemics have shown the importance of social factors, especially given the large number of asymptomatic cases that effectively spread the virus, which can cause a medical emergency to ...
Atomistic to continuum model for studying mechanical properties of RNA nanotubes
(2020-06)
With rapid advancements in the emerging field of RNA nanotechnology, its current and potential applications, new important problems arise in our quest to better understand properties of RNA nanocomplexes. In this paper, ...
Thermal ablation of biological tissues in disease treatment: A review of computational models and future directions
(2020-03)
Percutaneous thermal ablation has proved to be an effective modality for treating both benign and malignant tumors in various tissues. Among these modalities, radiofrequency ablation (RFA) is the most promising and widely ...
Functional Geometry of Human Connectomes
(2019-08)
Mapping the brain imaging data to networks, where nodes represent anatomical brain regions and edges indicate the occurrence of fiber tracts between them, has enabled an objective graph-theoretic analysis of human connectomes. ...
Computational Analysis of Pulsed Radiofrequency Ablation in Treating Chronic Pain
(2019-06)
In this paper, a parametric study has been conducted to evaluate the effects of frequency and duration of the short burst pulses during pulsed radiofrequency ablation (RFA) in treating chronic pain. Affecting the brain and ...