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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.
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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