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The traditional approach to understanding the changes a parameterized physical system undergoes as the parameters are varied consists of (1) writing a model family of differential equations (oftentimes in an ad hoc fashion) and (2) numerically or analytically identifying bifurcations in this family. While this is a time honored and fruitful pipeline, we instead take the approach of identifying bifurcations via a Conley index approach to topological data analysis, effectively circumventing the oft dubious step (1). In this talk, we will discuss the details of this method in the case of the saddle node bifurcation. This is joint work with Konstantin Mischaikow.