The risk of Pitocin as a cause of autism attributable to oxytocin receptor desensitization in the brain of the fetus is evaluated in terms of a mathematical model. A composite unit, D, for oxytocin receptor desensitization levels is established with the form ((IU-h)/ml)E-3, where IU is the international unit for oxytocin. The desensitization values for oxytocin receptor desensitization at a concentration of 10 nmol of oxytocin per liter for 3, 4.2 and 6h corresponding to 0%, 50% and 100% desensitization are calculated to be 15 D, 21 D, and 30 D, respectively. The permeability of the blood-brain barrier in the fetus to oxytocin is discussed, and the upper limit of the concentration of Pitocin in the placenta, and its possible diffusion into the blood and brain of the fetus, is calculated for a routine dose of 6 milli U per minute of Pitocin over a 12h labor. This dose of Pitocin is shown to result in a desensitization value in units of D that is more than a factor of 10 below the 0% desensitization value of 15 D. This indicates that routine doses of Pitocin are not a significant cause of autism attributable to oxytocin receptor desensitization. This is consistent with the findings of a major epidemiological study of the association of Pitocin with autism in Denmark entitled, "Oxytocin-augmented labor and risk for males", Behavioral Brain Research, May 1, 2015; 284:207-212, which found no association between the use of Pitocin during labor and the incidence of autism for females, and a modest association for males.