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We develop a stochastic kinetic model of a pre-formed attachment of amictrotuble (MT) with a cell cortex, in which the MT is tethered to the cell bya group of active motor proteins. Such an attachment is a particularly uniquecase of ligand-receptor bonds: The MT ligand changes its length (and thusbinding sites) with time by polymerization-depolymerization kinetics, whilemultiple motor receptors tend to walk actively along the MT length. Theseprocesses, combined with force-mediated unbinding of the motors, result in anelaborate behavior of the MT connection to the cell cortex. We present resultsfor the strength and lifetime of the system through the well-establishedforce-clamp and force-ramp protocols when external tension is applied to theMT. The simulation results reveal that the MT-cell attachment behaves as acatch-bond or slip-bond depending on system parameters. We provide analyticalapproximations of the lifetime and discuss implications of our results onin-vitro experiments.

Strength and stability of active ligand-receptor bonds: a microtubule attached to a wall by molecular motor tethers