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dg = -m1g- dt - mh (1) dh = m4g - dt - mzh (2) where g = g(t) represents the amount of glucose deviation from equilibrium, h(t) represents the amount of hormone (Insulin) deviation from equilibrium, and m1, m2, m3, m4 are constants which are determined from test data. (a) Prior to Ackerman et al work, Brolie (1960) also investigate establishing a criterion for determining diabetes from GTT using differential equations. Brolie used experimental data obtained from dogs which he extrapolated to non-diabetic humans and obtained the following empirical data: m1 = 2.92 m2 = 4.34 m4 = 0.208 m3 = 0.780 Using the equations (1) and (2) solve for and h.

dg = -m1g- dt - mh (1) dh = m4g - dt - mzh (2) where g = g(t) represents the amount of glucose deviation from equilibrium, h(t) represents the amount of hormone (Insulin) deviation from equilibrium, and m1, m2, m3, m4 are constants which are determined from test data. (a) Prior to Ackerman et al work, Brolie (1960) also investigate establishing a criterion for determining diabetes from GTT using differential equations. Brolie used experimental data obtained from dogs which he extrapolated to non-diabetic humans and obtained the following empirical data: m1 = 2.92 m2 = 4.34 m4 = 0.208 m3 = 0.780 Using the equations (1) and (2) solve for and h.

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I'm not supposed to solve the actual system at this point, just solve for h and g using equations 1 and 2.  

dg = -mig – m2h dt (1) dh = m4g – dt - mzh (2) where g = g(t) represents the amount of glucose deviation from equilibrium, h(t) represents the amount of hormone (Insulin) deviation from equilibrium, and m1, m2, m3, m4 are constants which are determined from test data. (a) Prior to Ackerman et al work, Brolie (1960) also investigate establishing a criterion for determining diabetes from GTT using differential equations. Brolie used experimental data obtained from dogs which he extrapolated to non-diabetic humans and obtained the following empirical data: mị = 2.92 m2 = 4.34 m4 = 0.208 m3 = 0.780 Using the equations (1) and (2) solve for g and h.
Transcribed Image Text:dg = -mig – m2h dt (1) dh = m4g – dt - mzh (2) where g = g(t) represents the amount of glucose deviation from equilibrium, h(t) represents the amount of hormone (Insulin) deviation from equilibrium, and m1, m2, m3, m4 are constants which are determined from test data. (a) Prior to Ackerman et al work, Brolie (1960) also investigate establishing a criterion for determining diabetes from GTT using differential equations. Brolie used experimental data obtained from dogs which he extrapolated to non-diabetic humans and obtained the following empirical data: mị = 2.92 m2 = 4.34 m4 = 0.208 m3 = 0.780 Using the equations (1) and (2) solve for g and h.
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