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Surname Fist name mark of this test final mark Reg. No. Biomedical Engineering MSc Program Politecnico di Milano Bioengineering of the Physiological Control Systems -Prof. G. Baselli June 10th, 2022 (Summer session 1" call) -10 questions max. score 30/30 Duration 90 min. No material apart these sheets Any answer scores 3/30. Laude upon quality Attention: questions under the same number (e.g., la, lb, ..) are connected Attention: severely wrong answers score a penalty of -1/30 /3 la Define the concept of "milieu intérieur" Literal translation (in English or Italian) What are the living units immersed in the milieu intérieur? Who was the physiologist introducing this concept by the end of the 19th century? How did he name the optimal condition of the milieu intérieur? ... /31b Why is it assumed that this concept implies control feedbacks on largerphysiological scales? Explain how the ultimate goal of optimal milieu intérieur condition can be related to the intrinsicworking point of larger scale control loops. ******* 2 e Provide a single example of a physiological control system that ultimately contributes to keep one ot the milieu intérieur chemical/physical variables to its optimal level. No formulas. Just mention the involvedorgans,reflexes, and control actions. 3 /3 2a Given a system of n ordinary diferential equations (ODEs) i = f(x, u) define the equilibrium condition for u = Uss = constant: How many solutions (number of equilibrium points) can be found in case of a non-linear system? How many solutions can be found in the case of a linear system * = Ax +Bu? I) If A is . . then I)If A is not.... ... then /3 2b Given a non-linear system à = fx,u) and an equilibrium point Xss, Uss, write the equations to derive the linearized system 8i = Aôx + Bôu, with ôx = * -Xss,…