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- a function
of real-value argumentLaTeX Math Inline body --uriencoded--q%5e*(t, %7B\bf p%7D)
and set of model parametersLaTeX Math Inline body t \in \R LaTeX Math Inline body --uriencoded--%7B\bf p%7D = \%7B pq%5e*_m\%7D_%7Bm = 1..M%7D = \%7Bp_1, p_2, ... p_M0, \, \tau_0, \, b \%7D - a training data set:
LaTeX Math Inline body --uriencoded--\%7B (t_k, q_k)\%7D_%7Bk = 1..N%7D = \%7B (t_0, aq_0), (t_1, q_1), ..., (t_N, q_N) \%7D
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- Unconstrained matching
- Constrained matching:
- Match the value of the initial rate
LaTeX Math Inline body --uriencoded--q%5e*(t=0) = q%5e*_0 = q_0 - Match the value of the current rate
LaTeX Math Inline body --uriencoded--q%5e*(t=t_N) = q_N - Match the value of the current cumulative
LaTeX Math Inline body --uriencoded--Q%5e*(t=t_N) = Q_N - Match the value of the current rate and cumulative
,LaTeX Math Inline body --uriencoded--q%5e*(t=t_N) = q_N LaTeX Math Inline body --uriencoded--Q%5e*(t=t_N) = Q_N
- Match the value of the initial rate
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All three model parameters
are being varied to achieve the best fit to the training dataset. LaTeX Math Inline body --uriencoded--\%7B q%5e*_0, \, D\tau_0, \, b \%7D
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