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Volume-Preserving Transformations of Solid of Revolution

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Suppose a function is defined for , and let a transformation be defined by . We have . This means that the volume of the solid enclosed by the surface of revolution of around the axis remains unchanged.

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Supposing that the volume of a muscle remains unchanged by its contraction, this transformation presents a simple model of muscle contraction. We use the function .

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Contributed by: Izidor Hafner (January 2016)
Open content licensed under CC BY-NC-SA

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[1] G. A. Tsianos and G. E. Loeb. "Muscle Physiology and Modeling." Scholarpedia. (Jan 20, 2016). doi:10.4249/scholarpedia.12388.

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