Schema-induced shifts in mice navigational strategies are unveiled by a minimal behavioral model of spatial exploration

AbstractShifts in spatial patterns produced during the execution of a navigational task can be used to track the effects of the accumulation of knowledge and the acquisition of structured information about the environment. Here we provide a quantitative analysis of mice behavior while performing a novel goal localization task in a large, modular arena, the HexMaze. To demonstrate the effects of different forms of previous knowledge we first obtain a precise statistical characterization of animals’ paths with sub-trial resolution and over different phases of learning. The emergence of a flexible representation of the task is accompanied by a progressive improvement of performance, mediated by multiple, multiplexed time scales. We then use a generative mathematical model of the animal behavior to isolate the specific contributions to the final navigational strategy. We find that animal behavior can be accurately reproduced by the combined effect of a goal-oriented component, becoming stronger with the progression of learning, and of a random walk component, producing choices unrelated to the task and only partially weakened in time.

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Statistical Characterization of Harmonic Emissions in Power Supply Systems

International Review of Electrical Engineering (IREE) ◽

10.15866/iree.v9i4.1099 ◽

2014 ◽

Vol 9 (4) ◽

pp. 803 ◽

Cited By ~ 4

Author(s):

Diego Bellan

Keyword(s):

Power Supply ◽

Statistical Characterization ◽

Supply Systems

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Statistical Characterization of Fish School Clutter

10.21236/ada472811 ◽

2007 ◽

Author(s):

Timothy K. Stanton ◽

Dezhang Chu

Keyword(s):

Statistical Characterization ◽

Fish School

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Critical Review of EMC Standards for the Measurement of Radiated Electromagnetic Emissions from Transit Line and Rolling Stock

Energies ◽

10.3390/en14030759 ◽

2021 ◽

Vol 14 (3) ◽

pp. 759

Author(s):

Andrea Mariscotti

Keyword(s):

Time Distribution ◽

Communication Systems ◽

Electromagnetic Compatibility ◽

Transportation Systems ◽

Operating Conditions ◽

Rolling Stock ◽

Intrinsic Variability ◽

Statistical Characterization ◽

Electromagnetic Emissions

Accurate and comprehensive methods for the assessment of radiated electromagnetic emissions in modern electric transportation systems are a necessity. The characteristics and susceptibility of modern victim signaling and communication radio services, operating within and outside the right-of-way, require an update of the measurement methods integrating or replacing the swept frequency technique with time domain approaches. Applicable standards are the EN 50121 (equivalent to the IEC 62236) and Urban Mass Transport Association (UMTA) with additional specifications from project contracts. This work discusses the standardized methods and settings, and the representative operating conditions, highlighting areas where improvements are possible and opportune (statistical characterization of measurement results, identification and distinction of emissions and line resonances, and narrowband and broadband phenomena). In particular for the Electromagnetic Compatibility (EMC) assessment with new Digital Communication Systems, the characterization of time distribution of spectral properties is discussed, e.g., by means of Amplitude Probability Distribution and including time distribution information. The problem of determination of site and setup uncertainty and repeatability is also discussed, observing on one hand the lack of clear indications in standards and, on the other hand, the non-ideality and intrinsic variability of measurement conditions (e.g., rolling stock operating conditions, synchronization issues, and electric arc intermittence).

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Statistical characterization of the signal-in-space errors of the BDS: a comparison between BDS-2 and BDS-3

GPS Solutions ◽

10.1007/s10291-021-01150-x ◽

2021 ◽

Vol 25 (3) ◽

Author(s):

Guo Chen ◽

Renyu Zhou ◽

Zhigang Hu ◽

Yifei Lv ◽

Na Wei ◽

...

Keyword(s):

Statistical Characterization

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Modelling Degradation and Replication Kinetics of the Zika Virus In Vitro Infection

Viruses ◽

10.3390/v12050547 ◽

2020 ◽

Vol 12 (5) ◽

pp. 547

Author(s):

Veronika Bernhauerová ◽

Veronica V. Rezelj ◽

Marco Vignuzzi

Keyword(s):

Mathematical Model ◽

Viral Infection ◽

Host Cell ◽

Decay Time ◽

Zika Virus ◽

Infectious Virus ◽

Numerical Characterization ◽

The Mathematical Model

Mathematical models of in vitro viral kinetics help us understand and quantify the main determinants underlying the virus–host cell interactions. We aimed to provide a numerical characterization of the Zika virus (ZIKV) in vitro infection kinetics, an arthropod-borne emerging virus that has gained public recognition due to its association with microcephaly in newborns. The mathematical model of in vitro viral infection typically assumes that degradation of extracellular infectious virus proceeds in an exponential manner, that is, each viral particle has the same probability of losing infectivity at any given time. We incubated ZIKV stock in the cell culture media and sampled with high frequency for quantification over the course of 96 h. The data showed a delay in the virus degradation in the first 24 h followed by a decline, which could not be captured by the model with exponentially distributed decay time of infectious virus. Thus, we proposed a model, in which inactivation of infectious ZIKV is gamma distributed and fit the model to the temporal measurements of infectious virus remaining in the media. The model was able to reproduce the data well and yielded the decay time of infectious ZIKV to be 40 h. We studied the in vitro ZIKV infection kinetics by conducting cell infection at two distinct multiplicity of infection and measuring viral loads over time. We fit the mathematical model of in vitro viral infection with gamma distributed degradation time of infectious virus to the viral growth data and identified the timespans and rates involved within the ZIKV-host cell interplay. Our mathematical analysis combined with the data provides a well-described example of non-exponential viral decay dynamics and presents numerical characterization of in vitro infection with ZIKV.

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An Improved Mathematical Model of Galton Board With Velocity-Dependent Restitution

Journal of Computational and Nonlinear Dynamics ◽

10.1115/1.4036418 ◽

2017 ◽

Vol 12 (6) ◽

Author(s):

Auni Aslah Mat Daud

Keyword(s):

Mathematical Model ◽

Random Walk ◽

Symbolic Dynamics ◽

Coefficient Of Restitution ◽

Dynamics Analysis ◽

The Novel ◽

Francis Galton ◽

The Way

A Galton board is an instrument invented in 1873 by Francis Galton (1822–1911). It is a box with a glass front and many horizontal nails or pins embedded in the back and a funnel. Galton and many modern statisticians claimed that a lead ball descending to the bottom of the Galton board would display random walk. In this study, a new mathematical model of Galton board is developed, to further improve three very recently proposed models. The novel contribution of this paper is the introduction of the velocity-dependent coefficient of restitution. The developed model is then analyzed using symbolic dynamics. The results of the symbolic dynamics analysis prove that the developed Galton board model does not behave the way Galton envisaged.

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