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Download Test 1 Solutions - Biological Systems Analysis | BIOE 310 and more Exams Biology in PDF only on Docsity!
Biok 310 Spring 2014 Test 1- Solution Instructions: You must show all your work to receive full credit. Box or circle your final answer. There are a total of $40 points available. 1. You are modeling a skeletal muscle using the following mechanical body. Write out the force-balance equation for the maxs mm as a function of displacement x. [10 pts] Fy wo he co k m @ >F a bone X BE es mB ae Foe Ney pe 2 ms olxt ox cme = > Ox -~X¥gdrok> F oH ae 9 ot aS Tas 2. Define the term steady state. Exemplify your answer with a conservation law equation. [10 pts| B sysiern in sleek tile. mens Heed its nati of change 16 2270 Peeccvendahirn = Xin + door zo usluet enters o. systera a ot at ty aa Sang 8S Wheat (eos Tl systeren Tus fla. sysiern ws a ty aitiorlucyy . 3. You are growing a colony of cells in a petri dish. The dish is supplied wilh water con- taining glucose. The flow of water into Lhe pete] dish is gin [ml/min] ab a concentration Cin [we /mil] and the flow out of the petri dish iz goue [ml/min]. Glucose is taken up by the cells at the rate of ryp [pe'min]. Given that the volume Y of the petri dish is constart, and the quantity of glucose that is in the water is represented by Q(t) [yg]. @ draw an annotated diagram that represents your understanding of the system deseribed, [5 pts] ® formulate the conservation law equation for the quantity of glucose in this system, aud [5 pts] e determine whether the univs of your conservation law are cousistens. [5 pts]. iO SE Rp 1 Got 2 = Bw Cin - Foor” a0 - Tops Friend Phy Piel: V%al 1 ‘t: vy 1, [at 5 a US al ele ee Vv 
