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erronis

(20,138 posts)
Wed May 28, 2025, 09:03 PM May 28

In nature's math, freedoms are fundamental

https://phys.org/news/2025-05-nature-math-freedoms-fundamental.html

Numbers have a funny way about them. Young math students are taught various strategies to make problem-solving easier. Comparing fractions? Find a common denominator or convert to decimals. The strategies get more complex when doing the kind of math used to describe the activities of DNA, RNA, or protein sequences.

In science, when you make a model, its parameters determine its predictions. But what do you do when different sets of parameters result in the same predictions? Call one half 2/4 or 3/6—either way, the result's the same. In physics, such parameter sets are called gauge freedoms.

They play a key role in how we understand electromagnetism and quantum mechanics. Surprisingly, gauge freedoms also arise in computational biology when trying to model how different mutations interact.

Now, Cold Spring Harbor Laboratory (CSHL) quantitative biologists have developed a unified theory for gauge freedoms in models of biological sequences. Their solution could have countless applications, from plant breeding to drug development.

The paper is published in the journal PLOS Computational Biology.

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