scholarly journals Large time step discrete-time modeling of sharp wave activity in hippocampal area CA3

Author(s):  
Paola Malerba ◽  
Nikolai F. Rulkov ◽  
Maxim Bazhenov
2018 ◽  
Author(s):  
Paola Malerba ◽  
Nikolai F. Rulkov ◽  
Maxim Bazhenov

AbstractReduced models of neuronal spiking activity simulated with a fixed integration time step are frequently used in studies of spatio-temporal dynamics of neurobiological networks. The choice of fixed time step integration provides computational simplicity and efficiency, especially in cases dealing with large number of neurons and synapses operating at a different level of activity across the population at any given time. A network model tuned to generate a particular type of oscillations or wave patterns is sensitive to the intrinsic properties of neurons and synapses and, therefore, commonly susceptible to changes in the time step of integration. In this study, we analyzed a model of sharp-wave activity in the network of hippocampal area CA3, to examine how an increase of the integration time step affects network behavior and to propose adjustments of intrinsic properties of neurons and synapses that help minimize or remove the damage caused by the time step increase.HighlightsSpiking models of neural network activity are sensitive to the integration stepLarger integration time steps are preferable in simulating large networksCase study of CA3 sharp waves shows time step increase damages network dynamicsNeuronal and synaptic parameters adjustments rescue the dynamics at large time step1


2021 ◽  
Vol 500 ◽  
pp. 229991
Author(s):  
Alan G. Li ◽  
Karthik Mayilvahanan ◽  
Alan C. West ◽  
Matthias Preindl

2015 ◽  
Vol 23 ◽  
pp. 149-170 ◽  
Author(s):  
Yaprak YALÇIN ◽  
Leyla GÖREN SÜMER ◽  
Salman KURTULAN

Author(s):  
SHINJI INOUE ◽  
NAOKI IWAMOTO ◽  
SHIGERU YAMADA

This paper discusses an new approach for discrete-time software reliability growth modeling based on an discrete-time infinite server queueing model, which describes a debugging process in a testing phase. Our approach enables us to develop discrete-time software reliability growth models (SRGMs) which could not be developed under conventional discrete-time modeling approaches. This paper also discuss goodness-of-fit comparisons of our discrete-time SRGMs with conventional continuous-time SRGMs in terms of the criterion of the mean squared errors, and show numerical examples for software reliability analysis of our models by using actual data.


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