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\begin{equation}  
t_{no\_deco}  =   - \frac{1}{k} \ln \left ( \frac{ P_{no\_deco} - P_{alv0} } { P_{t0} - P_{alv0} } \right )
\label{no_deco_time}
\end{equation}

Ofcourse we have to calculate this time for every tissue and take the minimum value as limit for 
the diver to remain at the depth. 

\chapter{Oxygen}

Oxygen is the gas that keeps you alive. The human body needs oxygen to generate energy. We can't do very long 
without it. Oxygen however can also kill you. In certain cases, it becomes poisenous. In recreational diving with
air you will hardly run into the oxygen limits. If you stick to not going deeper than the advised maximum depth
of 40 meters and keeping within the no-decompression limits.

\section{CNS}
There are 2 ways in which oxygen becomes toxic. The first one is directly related to the depth and gas you are breathing.
When the partial pressure of oxgyen (the $pO_2$) exceeds 1.6 bar, you are at direct risk of convulsing.
This would be pretty harmless if you weren't submerged. A diver convulsing is bound to lose his regulator and drown.
So to avoid problems it is advised to keep the $pO_2$ below 1.4 and only use 1.6 when in rest during a decompression stop.