caa a22 4500 463245210 CHVBK 20180405153323.0 cr unu---uuuuu 170326e20070101xx s 000 0 eng 10.1007/s00422-006-0105-5 doi (NATIONALLICENCE)springer-10.1007/s00422-006-0105-5 Response linearity determined by recruitment strategy in detailed model of nictitating membrane control [Elektronische Daten] [Eirini Mavritsaki, Nathan Lepora, John Porrill, Christopher Yeo, Paul Dean] Many models of eyeblink conditioning assume that there is a simple linear relationship between the firing patterns of neurons in the interpositus nucleus and the time course of the conditioned response (CR). However, the complexities of muscle behaviour and plant dynamics call this assumption into question. We investigated the issue by implementing the most detailed model available of the rabbit nictitating membrane response (Bartha and Thompson in Biol Cybern 68:135-143, 1992a and in Biol Cybern 68:145-154, 1992b), in which each motor unit of the retractor bulbi muscle is represented by a Hill-type model, driven by a non-linear activation mechanism designed to reproduce the isometric force measurements of Lennerstrand (J Physiol 236:43-55, 1974). Globe retraction and NM extension are modelled as linked second order systems. We derived versions of the model that used a consistent set of SI units, were based on a physically realisable version of calcium kinetics, and used simulated muscle cross-bridges to produce force. All versions showed similar non-linear responses to two basic control strategies. (1) Rate-coding with no recruitment gave a sigmoidal relation between control signal and amplitude of CR, reflecting the measured relation between isometric muscle force and stimulation frequency. (2) Recruitment of similar strength motor units with no rate coding gave a sublinear relation between control signal and amplitude of CR, reflecting the increase in muscle stiffness produced by recruitment. However, the system response could be linearised by either a suitable combination of rate-coding and recruitment, or by simple recruitment of motor units in order of (exponentially) increasing strength. These plausible control strategies, either alone or in combination, would in effect present the cerebellum with the simplified virtual plant that is assumed in many models of eyeblink conditioning. Future work is therefore needed to determine the extent to which motor neuron firing is in fact linearly related to the nictitating membrane response. Springer-Verlag, 2006 Mavritsaki Eirini Department of Psychology, Sheffield University, S10 2TP, Sheffield, UK aut Lepora Nathan Department of Psychology, Sheffield University, S10 2TP, Sheffield, UK aut Porrill John Department of Psychology, Sheffield University, S10 2TP, Sheffield, UK aut Yeo Christopher Department of Anatomy and Developmental Biology, University College London, Gower Street, WC1E 6BT, London, UK aut Dean Paul Department of Psychology, Sheffield University, S10 2TP, Sheffield, UK aut Biological Cybernetics Springer-Verlag 96/1(2007-01-01), 39-57 0340-1200 96:1<39 2007 96 422 https://doi.org/10.1007/s00422-006-0105-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00422-006-0105-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mavritsaki Eirini Department of Psychology, Sheffield University, S10 2TP, Sheffield, UK aut NATIONALLICENCE 700 1- Lepora Nathan Department of Psychology, Sheffield University, S10 2TP, Sheffield, UK aut NATIONALLICENCE 700 1- Porrill John Department of Psychology, Sheffield University, S10 2TP, Sheffield, UK aut NATIONALLICENCE 700 1- Yeo Christopher Department of Anatomy and Developmental Biology, University College London, Gower Street, WC1E 6BT, London, UK aut NATIONALLICENCE 700 1- Dean Paul Department of Psychology, Sheffield University, S10 2TP, Sheffield, UK aut NATIONALLICENCE 773 0- Biological Cybernetics Springer-Verlag 96/1(2007-01-01), 39-57 0340-1200 96:1<39 2007 96 422 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer