Mathematical models were developed to predict tolerance of brain tissue to stereotactic radiosurgery. The use of these formulas for predicting symptomatic brain necrosis from stereotactic radiosurgery with the 60Co gamma unit is discussed. Predicted dose-response curves for different collimator sizes were calculated. Dose-volume isoeffect curves for a 3% risk of brain necrosis from a single fraction radiosurgery were then derived. Dose-volume isoeffect curves for combinations of fractionated whole brain irradiation with radiosurgery boosts were also calculated. The predicted dose-volume isoeffect curves provide useful tolerance guidelines for the practice of stereotactic radiosurgery.