Many collections of biomolecular fibers are modeled as semi-flexible polymer solutions

Many collections of biomolecular fibers are modeled as semi-flexible polymer solutions. An important length scale in such systems is the mesh size ξ, which represents the typical spacing between polymers in solution. The following equation relates the mesh size to the fiber radius a and the fiber volume fraction φ:

 

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ξ = a /√ φ

In the adventitia of the thoracic artery of the rat, the collagen fibrils have a mean diameter of 60.0 nm with standard deviation of 10.0 nm and a mean volume fraction of 0.0812 with standard deviation of 0.0141. Calculate the mean mesh size in the adventitia of rat thoracic artery, along with its 95% confidence interval. (Note that a and φ are independent from each other.)

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