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# The relation between the tension T and the steady shortening velocity v in amuscle is

ISBN: 9781118629864 448

## Solution for problem 9 Chapter 11

MATLAB: An Introduction with Applications | 5th Edition

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Problem 9

The relation between the tension T and the steady shortening velocity v in amuscle is given by the Hill equation:(T+a)(v+b) = (T0+a)bwhere a and b are positive constants and T0 is the isometric tension, i.e., thetension in the muscle when v = 0. The maximum shortening velocity occurswhen T = 0.(a) Using symbolic operations, create the Hill equation as a symbolic expression.Then use subs to substitute T = 0, and finally solve for v to showthat vmax= (bT0)1 a.(b) Use vmax from part (a) to eliminate the constant b from the Hill equation,a(T0- T)and show that v=To(T+ a)vmax

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MAC Exam 1  Sections 1.4-2.2  1.4: o Complex Numbers  Standard from A+Bi  Watch the signs  Remember to distribute the negative sign in the case of (a+bi)-(a-bi)  i = -1  Square root of -1=i  1.5: o Quadratic Equations  Methods- factoring, square rooting, and completing the square  Factoring o EX:...

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The relation between the tension T and the steady shortening velocity v in amuscle is

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