question about making a syringe pump with high acuuracy

groundFungus:
That requirement is going to be hard to accomplish with a stepper motor. Even if set to a high microstep setting, it is still a stepper.

Thank you very much for your reply.

As you mentioned it is hard to have no delay in a stepper motor, but I am just avoiding big delays between movements in achieving my desired speed.
For example, if my stepper motor can reach the 1 rpm speed with a 6 deg/s rotation with +-5% error it would be great for me. But if it works this way: rotating 10 deg/s and then stopping for (60-36)/35=0.6857 sec I would have problems using these kinds of motors.

If I can't get a 1 rpm continuous speed as I described do you think using helical gears to convert higher speeds to lower ones would be helpful?

And what about current and torque? Would they make problems at this low speed?