Model Mathematics

Component: environment

Component: intracellular_glucose

dd time G_i = R1 + R2 - Rm rho

Component: extracellular_glucose

time G =- R1 +- R2 1.0 - rho + D_G A +- G B 2.0 x 2.0 G = A x G = B

Component: insulin

time I = Rs + D_I C +- V D 2.0 x 2.0 I = C x I = D

Component: insulin_inhibition

dd time J = J_tau J_infinity - J J_infinity = K_inh K_inh + I

Component: glucose_metabolism

Rm = rho Vm G_i Km + G_i

Component: GLUT_1_transporter

R1 = rho V1 G - G_i K1 + G_i 1.0 + G K1 I Ki + I

Component: GLUT_2_transporter

R2 = rho V2 G Jm - G_i K2 + G_i 1.0 + G K2

Component: insulin_secretion

Rs = Vs Rm 4.0 + rho 4.0 L 4.0 Rm 4.0 + rho 4.0 Ks 4.0 + rho 4.0 L 4.0