The role of fractional calculus in modeling biological phenomena: A review

C Ionescu, A Lopes, D Copot, JAT Machado… - … in Nonlinear Science …, 2017 - Elsevier
This review provides the latest developments and trends in the application of fractional
calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple …

Simulation of networks of spiking neurons: a review of tools and strategies

R Brette, M Rudolph, T Carnevale, M Hines… - Journal of computational …, 2007 - Springer
We review different aspects of the simulation of spiking neural networks. We start by
reviewing the different types of simulation strategies and algorithms that are currently …

[图书][B] Neuronal dynamics: From single neurons to networks and models of cognition

W Gerstner, WM Kistler, R Naud, L Paninski - 2014 - books.google.com
What happens in our brain when we make a decision? What triggers a neuron to send out a
signal? What is the neural code? This textbook for advanced undergraduate and beginning …

[图书][B] Theoretical neuroscience: computational and mathematical modeling of neural systems

P Dayan, LF Abbott - 2005 - books.google.com
Theoretical neuroscience provides a quantitative basis for describing what nervous systems
do, determining how they function, and uncovering the general principles by which they …

The neural code between neocortical pyramidal neurons depends on neurotransmitter release probability

MV Tsodyks, H Markram - Proceedings of the national …, 1997 - National Acad Sciences
Although signaling between neurons is central to the functioning of the brain, we still do not
understand how the code used in signaling depends on the properties of synaptic …

[图书][B] Principles of computational modelling in neuroscience

D Sterratt, B Graham, A Gillies, G Einevoll, D Willshaw - 2023 - books.google.com
Taking a step-by-step approach to modelling neurons and neural circuitry, this textbook
teaches students how to use computational techniques to understand the nervous system at …

Type I membranes, phase resetting curves, and synchrony

B Ermentrout - Neural computation, 1996 - direct.mit.edu
Type I membrane oscillators such as the Connor model (Connor et al. 1977) and the Morris-
Lecar model (Morris and Lecar 1981) admit very low frequency oscillations near the critical …

Cellular effects of deep brain stimulation: model-based analysis of activation and inhibition

CC McIntyre, WM Grill, DL Sherman… - Journal of …, 2004 - journals.physiology.org
Deep brain stimulation (DBS) is an effective therapy for medically refractory movement
disorders. However, fundamental questions remain about the effects of DBS on neurons …

Synaptic basis of cortical persistent activity: the importance of NMDA receptors to working memory

XJ Wang - Journal of Neuroscience, 1999 - Soc Neuroscience
Delay-period activity of prefrontal cortical cells, the neural hallmark of working memory, is
generally assumed to be sustained by reverberating synaptic excitation in the prefrontal …

Neural networks as spatio-temporal pattern-forming systems

B Ermentrout - Reports on progress in physics, 1998 - iopscience.iop.org
Abstract Models of neural networks are developed from a biological point of view. Small
networks are analysed using techniques from dynamical systems. The behaviour of spatially …