### Abstract

The authors determine the time-dependent ligand current into a spherical cell that is covered with a large number of age-dependent receptors. These receptor can be either of two states: active (i.e., available for ligand binding) or inactive. An active receptor turns inactive upon binding a ligand, and it can reappear as active at some later time. The transition inactive → active is treated as a probabilistic process. The ligand distribution around the cell is determined analytically in terms of this distribution at the cell surface. A set of nonlinear integral equations is derived for the distribution at the cell surface, which is solved numerically. In this way the time-dependent ligand current into the cell as well as the average active receptor population at the cell surface are determined.

Original language | Undefined |
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Pages (from-to) | 171-183 |

Number of pages | 12 |

Journal | Mathematical biosciences |

Volume | 98 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1991 |

### Keywords

- IR-61296
- METIS-129593

## Cite this

Geurts, B. J., & Wiegel, F. W. (1991). Chemoreception by a cell with age-dependent receptor binding sites.

*Mathematical biosciences*,*98*(2), 171-183. https://doi.org/10.1016/0025-5564(90)90122-F