You have started an internship in the lab of Dr. Victor Frankenstein. Unfortunat

Question

You have started an internship in the lab of Dr. Victor Frankenstein. Unfortunately, Dr. Frankenstein"s assistant Igor quit due to allegations that he was stealing eyes. Now it is up to you to complete some of Igor's experiments and help bring the creature to life! 1. Your first assignment is to verify that Igor created the correct bicep muscle for the creature. The doctor wants the bicep to be able to deliver a contractile force of 64 kN. The current sarcomere density for each fascicle is 3.2x 10 Can a muscle made of 2 fascicles achieve the target contractile force? Remember that each sarcomere can produce a contractile force of SpN. (HINT: i N = 1 .0 x 1 012 pN.) 2. The Dr. has changed his mind! Now he wants the bicep to produce a force of 13 kN! How many of the above fascicles will you need to put together to make a muscle that can generate a contractile force of 13 kN?

Explanation / Answer

First question-

One sarcomere generates Fs= 5 pN = 5×10-12 N

Numbers of sarcomeres in one fascicle (fs) = 3.2 ×1014

Totla force generates by 2 fascicles 2Ffs= number of fascicles × 3.2 ×1014 × Fs

2Ffs = 2 × 3.2 ×1014 × 5×10-12 N

2Ffs = 32 ×102 N

2Ffs = 3.2 ×103 N

2Ffs = 3.2 kN               [1 kN = 103 N]

The doctor needs 6.4 kN, which is double of the force generated by 2 fascicles. Therefore, he needs to take 4 fascicles of sarcomeres.

Answer- No, muscle made of 2 fascicles cannot achieve the target of 6.4kN.

Second question-

We know that 2 fascicles generates 3.2 kN force. Therefore, one fascicle would generate-

1Ffs = (3.2 ÷2) kN

1 Ffs = 1.6 kN

Therefore, required numbers of fascicles for 13kN force Nfs = Required force ÷ Force by one fascicle

Nfs = 13kN ÷1.6 kN

Nfs = 8.125 fascicles

Answer- 8.125 fascicles

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