A model of the hydrostatic skeleton of the leech

Journal of Theoretical Biology
B A SkierczynskiR Skalak

Abstract

A mathematical model of the hydrostatic skeleton of the leech has been developed to predict the shape of and internal pressure within the animal in response to a given pattern of motor neuron activity in different behaviors. The model incorporates experimental data on: the dimensions of the animal at behavioral extremes, the passive properties of the tissues, the active length-tension behavior of the muscles in response to neural activation, the relations between firing frequencies and forces developed by the muscles. The model is based on three general assumptions: (i) the cross-sectional geometry of each segment is elliptical, (ii) the volume of each segment remains constant during movement, (iii) the shape of the animal reflects dimensions that minimize the total potential energy. Presently the model is implemented to simulate the vermiform elongation of the leech, predicting the shape and the pressure changes during behavior. The results are in good agreement with the experimental measurements. The pattern of motor neuronal activity was determined by the known intersegmental travel time and estimated delay time between relaxation of the longitudinal muscles and the activation of the circular muscles. The anesthetized state ...Continue Reading

Citations

Nov 7, 2008·Journal of Neurophysiology·Lora J Pittman, E Fiona Bailey
Jul 11, 2020·The Journal of Experimental Biology·Ritwika MukherjeeBarry A Trimmer
Jun 20, 2014·Integrative and Comparative Biology·B A Trimmer, Huai-ti Lin
Jan 8, 2014·Proceedings of the National Academy of Sciences of the United States of America·Tetsuya IwasakiW Otto Friesen
Apr 23, 2015·Experimental Brain Research·K R ShumwayE F Bailey
Nov 10, 2001·Annual Review of Biomedical Engineering·T C Skalak
Apr 15, 2005·Journal of Neurophysiology·Yoram YekutieliTamar Flash
Mar 11, 2016·Bioinspiration & Biomimetics·T UmedachiB A Trimmer
Mar 11, 2011·The Journal of Experimental Biology·Huai-Ti LinBarry A Trimmer
Mar 17, 2010·The Journal of Experimental Biology·Huai Ti Lin, Barry A Trimmer
Jul 28, 2004·Journal of Theoretical Biology·Dino AccotoPaolo Dario
Nov 2, 2005·Progress in Neurobiology·William B KristanW Otto Friesen
Nov 21, 2007·The Journal of Experimental Biology·Richard J GilbertVan J Wedeen
Nov 19, 2008·Journal of Theoretical Biology·Huai-Ti LinBarry A Trimmer

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