the relationship between the incremental modulous

the relationship between the incremental modulous

The relationship in between the incremental modulus, (E_0) ,
of a six-strut tensegrity model of the cell and the resting force
in the actin filaments, (F_0) , the resting length of the actin
filaments, (l_0) , and the resting strain of the cell,
(epsilon_0) , is given by:(E_0= 5.85*(F_0/(L_0)^2}*(1+4epsilon_0/1+12epsilon_0))Recalling that the length of the actin filaments is related to
the length of the microtubules, (L_0) , by
(L_0=sqrt{3/8L_{0}}) , we can express (E_{0}) in terms of
(L_{0}) as:(E_0= 15.6(F_0/(L_0)^2}*(1+4epsilon_0/1+12epsilon_0))In this question, you will use this equation to estimate the
upper and lower bounds of (E_{0}) as predcted by the tensegrity
model. The upper bound of the prediction can be determined by
assuming the actin filaments are on the verge of breaking in the
resting position. Assuming that actin filaments have an effective
radius of 2.8nm, a Young’s modulus of 1.8 GPa, and break at an
average force of approximately 400pN. use these alues to estimate
the strain at which the actin filament will break.

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