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Theoretical ideas have a rich history in many areas of biology, and new theories and mathematical models have much to offer in the future.

Researchers should cite this work as follows:

• Shou, W., Bergstrom, C. T., Chakraborty, A. K., & Skinner, F. K.  Theory, models and biology. eLife 2015; 4:e07158  [doi:10.7554/eLife.07158]

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