Model Mathematics

Component: environment

Component: x1

dd time x1 = k - lambda_Ca x1 + lambda1 x1

Component: lambda_Ca

lambda_Ca = A - B 1+ Ca S m_Ca + B

Component: m_Ca

m_Ca = m1 1+- beta R - Ca + m2

Component: x2

dd time x2 = lambda_Ca x1 - lambda2 x2 PTH = x2 2.75

Component: Ca

Ca = Ca_0 if time < t0 Ca_0 - Ca_1 1-- alpha time - t0 otherwise

Component: k

k = lambda2 x2_n + lambda1 x1_n

Component: S

S = Ca_0 - x1_n B - lambda2 x2_n x1_n A - lambda2 x2_n 1 m_Ca

Component: A

A = lambda1 lambda2 x2_max k - lambda2 x2_max

Component: B

B = lambda1 lambda2 x2_min k - lambda2 x2_min

Component: model_parameters