Coupled Spatio-Temporal Dynamics and Nonlocality in Advanced Mathematical Models for the Analysis of Complex Neurodegenerative Disease Pathologies DOI Creative Commons
Swadesh Pal, Roderick Melnik

Published: Jan. 1, 2023

One in six of the world’s population has to deal with neurodegenerative disorders, and while medical devices exist detect, prevent, treat such some fundamentals progression associated diseases remain ambiguous. In this contribution, we focus on Alzheimer’s disease (AD), where amyloid-beta (Aβ) tau proteins are among main contributors development or propagation AD. The Aβ clump together form plaques disrupt cell functions. Moreover, abnormal chemical change brain helps build sticky tangles that block neuron’s transport system. Astrocytes generally maintain a healthy balance by clearing toxic plaques. Even so, over-activated astrocytes release chemokines cytokines also react pro-inflammatory cytokines, further increasing production Aβ. We have provided details novel coupled mathematical model can capture astrocytes’ dual behaviour, emphasizing importance spatio-temporal coupling nonlocality. demonstrated depends memory effects, is disease’s earlier status, which involves non-Markovian processes. explained how integrate connectome data network study effect, as well role phenomenon. Depending loads brain, discussed analysis neuronal damage brain. effect slow down decreasing rate damage. Representative numerical examples been given, special attention paid nonequilibrium considerations stochastic modelling frameworks diseases.

Language: Английский

Modelling the Behavior of Human Crowds as Coupled Active-passive Dynamics of Interacting Particle Systems DOI
Thi Kim Thoa Thieu, Roderick Melnik

Methodology And Computing In Applied Probability, Journal Year: 2025, Volume and Issue: 27(1)

Published: Feb. 17, 2025

Language: Английский

Citations

0
Achieving Human-Inspired Drift Diffusion Consensus in Swarm Robotics DOI
Gal Sajko, Jan Babič

Lecture notes in computer science, Journal Year: 2024, Volume and Issue: unknown, P. 29 - 41

Published: Jan. 1, 2024

Language: Английский

Citations

0
Behavioral Human Crowds and Society DOI
Nicola Bellomo, Livio Gibelli

Modeling and simulation in science, engineering & technology, Journal Year: 2023, Volume and Issue: unknown, P. 1 - 8

Published: Jan. 1, 2023

This chapter provides an introduction to the contents of this edited volume. In keeping with style previous volumes, we also consider research perspectives. The first part contributes selection some key perspectives that take into account not only technical interest modeling and simulation, but impact activity can have on well-being society. second a brief chapters follow editorial introduction. refer both aforementioned topics preceding volumes (Bellomo Gibelli, Behavioural human crowds, recent results towards new frontiers. In: Bellomo, Gibelli (eds) Crowd dynamics, Volume 3 - Modeling social applications in time COVID 19. Birkhäuser, New York, pp 1–9, 2021; Bellomo et al., crowds. (ed) 2 Theory, models, applications. 1–10, 2020; Behavioral 1 safety problems. 1–14, 2018).

Language: Английский

Citations

1
Coupled Spatio-Temporal Dynamics and Nonlocality in Advanced Mathematical Models for the Analysis of Complex Neurodegenerative Disease Pathologies DOI Creative Commons
Swadesh Pal, Roderick Melnik

Published: Jan. 1, 2023

One in six of the world’s population has to deal with neurodegenerative disorders, and while medical devices exist detect, prevent, treat such some fundamentals progression associated diseases remain ambiguous. In this contribution, we focus on Alzheimer’s disease (AD), where amyloid-beta (Aβ) tau proteins are among main contributors development or propagation AD. The Aβ clump together form plaques disrupt cell functions. Moreover, abnormal chemical change brain helps build sticky tangles that block neuron’s transport system. Astrocytes generally maintain a healthy balance by clearing toxic plaques. Even so, over-activated astrocytes release chemokines cytokines also react pro-inflammatory cytokines, further increasing production Aβ. We have provided details novel coupled mathematical model can capture astrocytes’ dual behaviour, emphasizing importance spatio-temporal coupling nonlocality. demonstrated depends memory effects, is disease’s earlier status, which involves non-Markovian processes. explained how integrate connectome data network study effect, as well role phenomenon. Depending loads brain, discussed analysis neuronal damage brain. effect slow down decreasing rate damage. Representative numerical examples been given, special attention paid nonequilibrium considerations stochastic modelling frameworks diseases.

Language: Английский

Citations

0