@article{Cocconi:2021:10.1007/s11538-020-00848-2,
author = {Cocconi, L and Kuhn-Regnier, A and Neuss, M and Sendova-Franks, AB and Christensen, K},
doi = {10.1007/s11538-020-00848-2},
journal = {Bulletin of Mathematical Biology},
pages = {1--17},
title = {Reconstructing the intrinsic statistical properties of intermittent locomotion through corrections for boundary effects},
url = {http://dx.doi.org/10.1007/s11538-020-00848-2},
volume = {83},
year = {2021}
}

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TY  - JOUR
AB  - Locomotion characteristics are often recorded within bounded spaces, a constraint which introduces geometry-specific biases and potentially complicates the inference of behavioural features from empirical observations. We describe how statistical properties of an uncorrelated random walk, namely the steady-state stopping location probability density and the empirical step probability density, are affected by enclosure in a bounded space. The random walk here is considered as a null model for an organism moving intermittently in such a space, that is, the points represent stopping locations and the step is the displacement between them. Closed-form expressions are derived for motion in one dimension and simple two-dimensional geometries, in addition to an implicit expression for arbitrary (convex) geometries. For the particular choice of no-go boundary conditions, we demonstrate that the empirical step distribution is related to the intrinsic step distribution, i.e. the one we would observe in unbounded space, via a multiplicative transformation dependent solely on the boundary geometry. This conclusion allows in practice for the compensation of boundary effects and the reconstruction of the intrinsic step distribution from empirical observations.
AU  - Cocconi,L
AU  - Kuhn-Regnier,A
AU  - Neuss,M
AU  - Sendova-Franks,AB
AU  - Christensen,K
DO  - 10.1007/s11538-020-00848-2
EP  - 17
PY  - 2021///
SN  - 0092-8240
SP  - 1
TI  - Reconstructing the intrinsic statistical properties of intermittent locomotion through corrections for boundary effects
T2  - Bulletin of Mathematical Biology
UR  - http://dx.doi.org/10.1007/s11538-020-00848-2
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000620640600005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007/s11538-020-00848-2
UR  - http://hdl.handle.net/10044/1/100830
VL  - 83
ER  - 

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