Super-helix model: a physiological model for gravitaxis of Paramecium

A new model explaining the gravitactic behavior of Paramecium is derived on the basis of its mechanism of gravity sensing. Paramecium is know to have depolarizing mechanoreceptor ion channels in the anterior and hyperpolarizing channels in the posterior of the cell. This arrangement may lead to bidirectional changes of the membrane potential due to the selective deformation of the anterior and posterior cell membrane responding to the orientation of the cell with respect to the gravity vector; i.e., negative- and positive-going shifts of the potential due to the upward and downward orientation, respectively. The orientation dependent changes in membrane potential, in combination with the close coupling between the membrane potential and ciliary locomotor activity, may allow the changes in swimming direction along the otherwise simple helical swimming path in the following manner: an upward shift of the axis of helical swimming occurs by decreasing the pitch angle due to channel-dependent hyperpolarization in upward-orienting cells, and an upward shift of the swimming helix occurs by increasing the cell's pitch angle due to depolarization in downward-orienting cells. Computer simulation of the model demonstrated that the cell can swim upward along the "super-helical" trajectory consisting of a small helix winding helically along an axis parallel to the gravity vector.