A stochastic model for error correction of kinetochore-microtubule attachments and its coupling to the spindle assembly checkpoint

To divide replicated chromosomes equally between daughter cells kinetochores must attach to microtubules emanating from opposite poles of the mitotic spindle. Two mechanisms, namely, error correction and ‘spindle assembly checkpoint’ work together to facilitate this process. The error correction mechanism recognizes and detaches erroneous kinetochore-microtubule attachments, and the spindle assembly checkpoint delays the onset of anaphase until all the kinetochores are properly attached. Kinases and phosphatases at the kinetochore play a key role in proper functioning of these two mechanisms. Here we present a stochastic model to study how the opposing activities of kinases and phosphatases at the kinetochore affect error correction of kinetochore-microtubule attachments and checkpoint signaling in budding yeast, Saccharomyces cerevisiae. We show that error correction and biorientation of chromosomes occurs efficiently when the ratio between kinase activity of Ipl1 and the activity of an opposing phosphatase is a constant (balance point), and derive an approximate analytical formula that defines the balance point. Analysis of the coupling of the spindle assembly checkpoint signal to error correction shows that its strength remains high when the Ipl1 activity is equal to (or larger than) the value specified by the balance point, and the activity of another kinase, Mps1, is much larger (approximately 30 times larger) than its opposing phosphatase (PP1). We also find that the geometrical orientation of sister chromatids does not significantly improve the probability of their reaching biorientation, which depends entirely on Ipl1-dependent microtubule detachment.Author summaryThe kinetochore, the master regulator of chromosome segregation, integrates signals from different chromosome attachment states to generate an appropriate response, like the destabilization of erroneous kinetochore-microtubule attachments, stabilization of correct attachments, maintenance of the spindle assembly checkpoint signal until all kinetochores are properly attached, and finally silencing of checkpoint when biorientation is achieved. At a molecular level the job is carried out by kinases and phosphatases. The complexity of the interactions between these kinases and phosphatases makes intuitive analysis of the control network impossible, and a systems-level model is needed to put experimental information together and to generate testable hypotheses. Here we present such a model for the process of error correction and its coupling to the spindle assembly checkpoint in budding yeast. Using the model, we characterize the balance between kinase and phosphatase activities required for removing erroneous attachments and then establishing correct stable attachments between kinetochore and microtubule. We also analyze how the balance affects the strength of the spindle assembly checkpoint signal.