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q(t) =  (\frac{Q_N/\tau_0) \cdot \}{1-\exp(-t_N/\tau_0)}  \cdot \left[ 1 - \exp( -t_N/\tau_0) \right]^{-1}

q(t) = \frac{(1-b) \cdot Q_N/\tau_0}{ 1 - \left( 1 + b \, t_N/\tau_0 \right) ^{-b/(1-b)}} \cdot \frac{1}{\left(1 + b\, t/\tau_0 \right)^{1/b}}

q(t)=\frac{Q_N/\tau_0}{\ln (1+ t_N/\tau_0)} \cdot \frac{1}{1+t/\tau_0}

Q(t) - Q_N = [ q^*_N - q(t)] \, \tau_0

Q(t) - Q_N = \frac{q^*_N^b \, (\tau_0 + b \, t_N)}{1-b} \left[ q^*_N^{1-b} - q^{1-b}(t) \right]

Q(t) - Q_N = q^*_N \, (\tau_0 + t_N) \cdot \ln \frac{q^*_N}{q(t)}