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{\it Growth Processes and Physiologically Structured Dynamics}\\ 
{\it Mathematical Analysis} 

{\bf B. Perthame}\\
{ Laboratoire J.-L Lions, UPMC}\\
{and INRIA}\\
{\tt benoit.perthame@upmc.fr}
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\noindent {\bf Abstract}:  Several Integro-Differential equations and Transport
equations are used to  describe growth processes in biological or medical
modeling. 


\begin{enumerate}
\item[\bf Lecture 1:] Models of structured  populations: cell populations
structured by age, size, molecular content in some protein. The cell division
cycle. An example: a model of neurone network. 

\item[\bf Lecture 2:] Perron-Froebenius theory, PDEs and and  general relative
entropy 

\item[\bf Lecture 3:]  The case of size structured equation; 

\item[\bf Lecture 4:] Example of cancer: a general introduction; circadian
rhythm, Floquet theory in PDEs. How to compare the growth processes with and
without periodic control. Application to tumor growth and chronotherapy. 

\item[\bf Lecture 5:] Example of prion aggregates.
\end{enumerate} 

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