### Abstract

The cylindrically shaped cochlear outer hair cell (OHC) plays an important role in the transduction of acoustic energy into electrical energy in the cochlea. The extracisternal space (ECiS) of the lateral wall of the OHC is the fluid-filled space between the plasma membrane (PM) and the intracellular subsurface cisterna (SSC). In the ECiS, an array of cylindrical micropillars extends from the SSC to the PM. We obtain equations for the pressure, osmotic concentration and fluid velocity in the ECiS from the Brinkman-Stokes equations for steady incompressible flow in a plane channel that encloses an array of cylinders and whose upper wall, i.e. the plasma membrane, has a hydraulic conductivity of P_{PM}. From these equations we obtain an estimate for the hydraulic conductivity of the ECiS, P_{ECiS}. We show that the ECiS geometry accounts for P_{ECiS} being several orders of magnitude larger than P_{PM} and that P_{ECiS} increases with the width of the ECiS and decreases with the length of the ECiS.

Original language | English (US) |
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Pages (from-to) | 372-382 |

Number of pages | 11 |

Journal | Journal of Mathematical Biology |

Volume | 40 |

Issue number | 4 |

Publication status | Published - Apr 2000 |

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### Keywords

- Brinkman
- Extracisternal space
- Hydraulic conductivity
- Outer hair cell
- Stokes

### ASJC Scopus subject areas

- Agricultural and Biological Sciences (miscellaneous)
- Mathematics (miscellaneous)

### Cite this

*Journal of Mathematical Biology*,

*40*(4), 372-382.