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Unifying time to contact estimation and collision avoidance across species
The τ-function and the η-function are phenomenological models that are widely used in the context of timing interceptive actions and collision avoidance, respectively. Both models were previously considered to be unrelated to each other: τ is a decreasing function that provides an estimation of time...
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Published in: | PLoS computational biology 2012-08, Vol.8 (8), p.e1002625-e1002625 |
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description | The τ-function and the η-function are phenomenological models that are widely used in the context of timing interceptive actions and collision avoidance, respectively. Both models were previously considered to be unrelated to each other: τ is a decreasing function that provides an estimation of time-to-contact (ttc) in the early phase of an object approach; in contrast, g has a maximum before ttc. Furthermore, it is not clear how both functions could be implemented at the neuronal level in a biophysically plausible fashion. Here we propose a new framework--the corrected modified Tau function--capable of predicting both τ-type ("τ(cm)") and g-type ("t(mod)") responses. The outstanding property of our new framework is its resilience to noise. We show that t(mod) can be derived from a firing rate equation, and, as g, serves to describe the response curves of collision sensitive neurons. Furthermore, we show that tcm predicts the psychophysical performance of subjects determining ttc. Our new framework is thus validated successfully against published and novel experimental data. Within the framework, links between τ-type and η-type neurons are established. Therefore, it could possibly serve as a model for explaining the co-occurrence of such neurons in the brain. |
doi_str_mv | 10.1371/journal.pcbi.1002625 |
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Within the framework, links between τ-type and η-type neurons are established. 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Academic</collection><collection>Recercat</collection><collection>PubMed Central (Full Participant titles)</collection><collection>Directory of Open Access Journals</collection><jtitle>PLoS computational biology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Keil, Matthias S</au><au>López-Moliner, Joan</au><au>Graham, Lyle J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Unifying time to contact estimation and collision avoidance across species</atitle><jtitle>PLoS computational biology</jtitle><addtitle>PLoS Comput Biol</addtitle><date>2012-08-01</date><risdate>2012</risdate><volume>8</volume><issue>8</issue><spage>e1002625</spage><epage>e1002625</epage><pages>e1002625-e1002625</pages><issn>1553-7358</issn><issn>1553-734X</issn><eissn>1553-7358</eissn><abstract>The τ-function and the η-function are phenomenological models that are widely used in the context of timing interceptive actions and collision avoidance, respectively. Both models were previously considered to be unrelated to each other: τ is a decreasing function that provides an estimation of time-to-contact (ttc) in the early phase of an object approach; in contrast, g has a maximum before ttc. Furthermore, it is not clear how both functions could be implemented at the neuronal level in a biophysically plausible fashion. Here we propose a new framework--the corrected modified Tau function--capable of predicting both τ-type ("τ(cm)") and g-type ("t(mod)") responses. The outstanding property of our new framework is its resilience to noise. We show that t(mod) can be derived from a firing rate equation, and, as g, serves to describe the response curves of collision sensitive neurons. Furthermore, we show that tcm predicts the psychophysical performance of subjects determining ttc. Our new framework is thus validated successfully against published and novel experimental data. 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subjects | Animals Biology Circuit neuronal Cognitive neuroscience Engineering Experiments Humans Mathematics Models, Theoretical Neural circuitry Neural transmission Neurociència cognitiva Neurons Neurons - physiology Noise Phenomenological psychology Physiological aspects Psicologia fenomenològica Psychophysics Science Species Specificity Studies tau Proteins - physiology |
title | Unifying time to contact estimation and collision avoidance across species |
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