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%\title{LogLinear model}
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\noindent
\begin{large}
\textbf{LogLinear model} equation is:
\end{large}
\paragraph{}
\noindent
 \begin{eqnarray*}
\begin{array}{l}
      \displaystyle \log_{10}(N_t)= log_{10}(N_0) -  (t / D)^p
\end{array}
\end{eqnarray*}
\noindent
where $t$ is time and $log_{10}$ is base 10 logarithm.
\newline
 The parameters  to estimate are $D$, $p$ and $log_{10}(N_0)$.
\newline
The noisy output is defined as:
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\log_{10}(N_t)=\mathcal{N}(\log_{10}(N_t), \%noise)
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i.e random number from the normal distribution with mean parameter $\log_{10}(N_t)$ and standard deviation parameter $\%noise$.

\paragraph{}
\begin{flushleft}
\textbf{Example of LogLinear curve}\\
Time unit is hour.  Maximal time is 504h.
$D=300$, $p=3$ and $log_{10}(N_0)=4$
\end{flushleft}

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