Neural networks: An overview of early research, current frameworks and new challenges

A Prieto, B Prieto, EM Ortigosa, E Ros, F Pelayo… - Neurocomputing, 2016 - Elsevier
This paper presents a comprehensive overview of modelling, simulation and implementation
of neural networks, taking into account that two aims have emerged in this area: the …

[HTML][HTML] Network dynamics of coupled oscillators and phase reduction techniques

B Pietras, A Daffertshofer - Physics Reports, 2019 - Elsevier
Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …

DNA damage during S-phase mediates the proliferation-quiescence decision in the subsequent G1 via p21 expression

AR Barr, S Cooper, FS Heldt, F Butera, H Stoy… - Nature …, 2017 - nature.com
Following DNA damage caused by exogenous sources, such as ionizing radiation, the
tumour suppressor p53 mediates cell cycle arrest via expression of the CDK inhibitor, p21 …

Hidden attractors in Chua circuit: mathematical theory meets physical experiments

N Kuznetsov, T Mokaev, V Ponomarenko… - Nonlinear …, 2023 - Springer
After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …

Acetylcholine waves and dopamine release in the striatum

L Matityahu, N Gilin, GA Sarpong, Y Atamna… - Nature …, 2023 - nature.com
Striatal dopamine encodes reward, with recent work showing that dopamine release occurs
in spatiotemporal waves. However, the mechanism of dopamine waves is unknown. Here …

Reproduce the biophysical function of chemical synapse by using a memristive synapse

F Wu, Y Guo, J Ma - Nonlinear Dynamics, 2022 - Springer
Dynamical modeling of nervous systems is of fundamental importance in many scientific
fields containing the topics relative to computational neuroscience and biophysics. Many …

[BOG][B] Elements of applied bifurcation theory

YA Kuznetsov, IA Kuznetsov, Y Kuznetsov - 1998 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

[BOG][B] Practical bifurcation and stability analysis

R Seydel - 2009 - books.google.com
Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability
Analysis was published. During that time period the? eld of computational bifurcation has …

MATCONT: a MATLAB package for numerical bifurcation analysis of ODEs

A Dhooge, W Govaerts, YA Kuznetsov - ACM Transactions on …, 2003 - dl.acm.org
MATCONT is a graphical MATLAB software package for the interactive numerical study of
dynamical systems. It allows one to compute curves of equilibria, limit points, Hopf points …

[BOG][B] Mathematical cardiac electrophysiology

PC Franzone, LF Pavarino, S Scacchi - 2014 - books.google.com
This book covers the main mathematical and numerical models in computational
electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to …