It was shown by electron paramagnetic resonance (EPR) spectroscopy that one day after bilateral occlusion of the common carotid arteries (to simulate ischemia) in Wistar rats (group 1, n = 15) under ketamine-xylazine-acepromazine anesthesia (55.6, 5.5, 1.1 mg/kg, respectively, intraperitoneally), the content of nitric monoxide (NO) in the olfactory bulbs decreased, and recovered after two days. A similar trend was observed in Wistar rats (group 2, n = 15), which, simultaneously with ischemia modeling, were implanted intranasally with mesenchymal stem cells (MSCs). An intact group of rats (group 3, n = 15) was kept in the usual conditions of the vivarium and did not undergo surgical interventions. The content of copper in the olfactory bulbs of rats (for assessing the activity of superoxide dismutases 1 and 3) after ischemia modeling (group 1) tended to increase and maintain the increase for two days of observation. Intranasal administration of MSCs during the ischemia modeling was accompanied by a more significant increase in copper content on the first day after brain ischemia modeling, but after two days, a tendency towards restoration of the initial copper level was noted. Intranasal administrating of MSC simultaneously with ischemia modeling (group 2) was accompanied by a more rapid recovery of orientational-motor activity in experimental animals compared to rats in which only modeling of ischemic stroke was performed (group 1).