A tissue expansion system includes driver assembly having a syringe pump and a controller held in a common enclosure. The driver assembly is connected to both an inflatable bladder and an inflation medium source. Fluid is delivered from the driver assembly to the inflatable bladder through a pressure sensor. The pump is actuated to deliver predetermined incremental volumes of the inflation medium to the inflatable bladder at spaced apart time intervals. Pressure is monitored and the pumping is interrupted if the pressure exceeds a predetermined high threshold value. Pumping is recommenced when the pressure falls below a lower threshold value until the total incremental delivery volume has been reached.