A pulsatile fluid pump system includes a pump-valving assembly including a chamber and a diaphragm assembly coupled to the chamber and including a flexible diaphragm. The diaphragm assembly and the pump-valving assembly are configured as an integral pump assembly. The system further includes a linear motor having a magnet and a coil, the magnet moving in relation to the coil, the coil having an electrical input. The system also includes a control housing rigidly coupled to the linear motor and a controller system having an electrical output coupled to the electrical input of the coil, the controller system defining an electrical waveform at the electrical output to cause desired operation of the diaphragm. The integral pump assembly is configured to be removably coupled to the control housing, and the diaphragm assembly of the integral pump assembly is configured to be removably coupled to the linear motor.