All scientists rely on God, because it is God who puts in place and governs all the regularities--what we call laws of nature. The real laws are what God speaks to govern the world (Gen. 1:3, 11-12). What scientists come up with are approximations.
God has made man in his image, so that we are naturally imitative of his thoughts, on a creaturely level. We have to have minds in tune with him, and a world in tune with him, obeying his word, in order to have a basis for science. The fall of mankind into sin means that in our sin we no longer want to recognize the role of God. But scientific success depends on his sustenance and his consistent wisdom.
Vern Poythress, Ph.D. is distinguished professor of New Testament, Biblical Interpretation, and Systematic Theology at Westminster Theological Seminary.
For Professor Poythress' full treatment of this question:
Vern S. Poythress, Redeeming Science: A God-Centered Approach (Wheaton, IL: Crossway, 2006).