If Christ had a complete human nature, how come his human nature wasn't totally depraved as ours is?

I understand the reformed doctrine of total depravity to be that the human nature is such that it is utterly unable to choose to follow God. Another way I've heard it put is that men are by nature inclined to reject God. Now, I also understand that Christ took on a human nature at the Incarnation. He assumed the same human nature we have, thus He is rightfully called the one mediator between God and man. How do Calvinists reconcile the fact that Christ has a complete human nature while they teach that this human nature is at odds with God?