Chemoreception by a cell with age-dependent receptor binding sites

Bernardus J. Geurts, F.W. Wiegel

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    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 languageUndefined
    Pages (from-to)171-183
    Number of pages12
    JournalMathematical biosciences
    Issue number2
    Publication statusPublished - 1991


    • IR-61296
    • METIS-129593

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