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

Chapter 11, Problem 9

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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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