add half of the domain mathematics

chapters/appendix/appendix.tex

@@ -7,61 +7,3 @@
 %         summary of the content in this chapter
 % Version:  19.07.2024
 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-\chapter{Mathematical Details}
-\label{app:mathDetails}
-
-chapter intro\newline
-
-\blindtext
-
-% -------------------------------------------------------------------
-
-\section{Further Explanations}
-\label{app:explanations}
-
-Explain some complicated issues in this section.\newline
-
-\Blindtext[2][2]
-
-% -------------------------------------------------------------------
-
-\section{Fancy Proof}
-\label{app:proof}
-
-Proof a statement here.\newline
-
-\Blindtext[2][2]
-
-%---------------------------------------------------------------------------
-% -------------------------------------------------------------------
-
-\chapter{Additional Results}
-\label{app:results}
-
-chapter intro\newline
-
-\blindtext
-
-% -------------------------------------------------------------------
-
-\section{Nice Plots of Experiment 1}
-\label{app:exp1}
-
-include additional figures
-
-% -------------------------------------------------------------------
-
-\section{Nice Plots of Experiment 2}
-\label{app:exp2}
-
-include additional figures
-
-% -------------------------------------------------------------------
-
-\section{Nice Plots of Experiment 3}
-\label{app:exp3}
-
-include additional figures
-
-%---------------------------------------------------------------------------

chapters/chap01-introduction/chap01-introduction.tex

@@ -1,6 +1,6 @@
 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % Author:   Phillip Rothenbeck
-% Title:    Your Thesis
+% Title:    Investigating the Evolution of the COVID-19 Pandemic in Germany Using Physics-Informed Neural Networks
 % File:     chap01-introduction/chap01-introduction.tex
 % Part:     introduction
 % Description:
@@ -8,66 +8,12 @@
 % Version:  01.01.2012
 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
-\chapter{Introduction} % \chapter{Einf\"{u}hrung}
+\chapter{Introduction}
 \label{chap:introduction}
 
-chapter intro\newline
-
-\blindtext
-
-% -------------------------------------------------------------------
-
-\section{Motivation}
-\label{sec:motivation}
-
-Motivation of your topic.\newline
-
-\Blindtext[2][2]
-
 % -------------------------------------------------------------------
 
-\section{Your tasks} % \section{Aufgabenstellung}
-\label{sec:task}
-
-Explain the tasks you want to solve.\newline
-
-\blindtext
-
-% -------------------------------------------------------------------
-
-\section{Related work} % \section{Literatur\"{u}berblick}
+\section{Related work}
 \label{sec:relatedWork}
 
-Overview of existing literature, \eg~\cite{Doe12:TIA}. You can split it into several subsections if you want to (not mandatory).
-
-\subsection{Part 1}
-\label{subsec:part1}
-
-literature part 1\newline
-
-\Blindtext[2][2]
-
-
-\subsection{Part 2}
-\label{subsec:part2}
-
-literature part 2\newline
-
-\Blindtext[2][2]
-
-
-% -------------------------------------------------------------------
-
-% You can insert additional sections like notations or something else
-
-% -------------------------------------------------------------------
-
-\section{Overview} % \section{Aufbau der Arbeit}
-\label{sec:overview}
-
-Overview of remaining chapters\newline
-
-\blindtext
-
-
 % -------------------------------------------------------------------

chapters/chap02/chap02.tex

@@ -1,59 +1,70 @@
 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % Author:   Phillip Rothenbeck
-% Title:    Your Thesis
+% Title:    Investigating the Evolution of the COVID-19 Pandemic in Germany Using Physics-Informed Neural Networks
 % File:     chap02/chap02.tex
 % Part:     theoretical background
 % Description:
 %         summary of the content in this chapter
-% Version:  01.01.2012
+% Version:  25.07.2024
 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \chapter{Theoretical background}
 \label{chap:background}
 
-chapter intro\newline
+% -------------------------------------------------------------------
+
+\section{Domain Mathematics}
+\label{sec:domain}
 
-\blindtext
+The mathematics of domains work with spaces of numbers on which several mathematical operations are performed to retrieve a number in a different space.
+For the definition of a function is essential. Which is described by Rudin\cite{Rudin2007}. A function $f$ assigns each element $x$ of the set $A$ to an
+element of the set $B$.
+\begin{equation}
+  f: A \rightarrow B
+\end{equation}
+In this case $A$ is called the domain, while $B$ is called the codomain. For further explanations we refer to $f$ as:
+\begin{equation}
+  f: \mathbb{R} \rightarrow \mathbb{R}
+\end{equation}
+Functions are able to describe the condition of a system given certain parameters.
 
 % -------------------------------------------------------------------
 
-\section{Basics}
-\label{sec:basics}
+\section{Basics of Differential Equations}
+\label{sec:differentialEq}
+
+- different information about the domain (domain -> codomain) -> (domain -> change of the funcion)
+- example
+
+% -------------------------------------------------------------------
 
-explain some basic techniques
-reference: Figure~\ref{fig:myFigure}\newline
+\section{Pandemic Models}
+\label{sec:pandemicModel}
+- modelation in a mathematical sense
+- what do pandemic models have to do?
 
-\begin{figure}[tb]
-  \centering
-  \rule{4cm}{1cm}
-  \caption[figure caption displayed in list of figures]{figure caption displayed below the figure}
-  \label{fig:myFigure}
-\end{figure}
+% -------------------------------------------------------------------
 
-\Blindtext[2][2]
+\subsection{SIR Model}
+\label{sec:pandemicModel:sir}
 
 % -------------------------------------------------------------------
 
-\section{Already existing solutions}
-\label{sec:existingSolutions}
+\subsection{reduced SIR Model}
+\label{sec:pandemicModel:rsir}
 
-detailed explanations of existing methods, models, etc. which solve your task or a similar task
-describe starting point for your ideas
-reference: Table~\ref{fig:myTable}\newline
+% -------------------------------------------------------------------
 
-\begin{table}[tb]
-  \centering
-  \begin{tabular}{cc}
-    example & table \\
-    1       & 2     \\
-    3       & 4     \\
-  \end{tabular}
-  \caption[table caption displayed in list of figures]{table caption displayed below the table}
-  \label{fig:myTable}
-\end{table}
+\section{Multilayer Perceptron}
+\label{sec:mlp}
 
-\Blindtext[2][2]
+% -------------------------------------------------------------------
+
+\section{Physics Informed Neural Networks}
+\label{sec:pinn}
 
 % -------------------------------------------------------------------
 
-% insert further sections if necessary
+\subsection{Disease Informed Neural Networks}
+\label{sec:pinn:dinn}
 
+% -------------------------------------------------------------------

chapters/chap03/chap03.tex

@@ -1,36 +1,36 @@
 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % Author:   Phillip Rothenbeck
-% Title:    Your Thesis
+% Title:    Investigating the Evolution of the COVID-19 Pandemic in Germany Using Physics-Informed Neural Networks
 % File:     chap03/chap03.tex
-% Part:     your contribution
+% Part:     Methods
 % Description:
 %         summary of the content in this chapter
 % Version:  01.01.2012
 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\chapter{Your contribution}
-\label{chap:contribution}
+\chapter{Methods}
+\label{chap:methods}
 
-chapter intro\newline
-
-\blindtext
 % -------------------------------------------------------------------
 
-\section{Ideas}
-\label{sec:ideas}
+\section{Data Preprocessing}
+\label{sec:preprocessing}
 
-Explain your ideas.\newline
+% -------------------------------------------------------------------
 
-\Blindtext[2][2]
+\subsection{RKI Data}
+\label{sec:preprocessing:rki}
 
 % -------------------------------------------------------------------
 
-\section{Approach}
-\label{sec:approach}
+\subsection{Recovery Queue}
+\label{sec:preprocessing:rq}
 
-your approach, how do you implement your ideas\newline
+% -------------------------------------------------------------------
 
-\Blindtext[2][2]
+\section{PINN for the SIR Model}
+\label{sec:pinn:sir}
 
 % -------------------------------------------------------------------
 
-% insert further sections if necessary
+\section{PINN for the reduced SIR Model}
+\label{sec:pinn:sir}

chapters/chap04/chap04.tex

@@ -1,73 +1,43 @@
 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % Author:   Phillip Rothenbeck
-% Title:    Your Thesis
+% Title:    Investigating the Evolution of the COVID-19 Pandemic in Germany Using Physics-Informed Neural Networks
 % File:     chap04/chap04.tex
-% Part:     experimental results, evaluation
+% Part:     Experiments
 % Description:
 %         summary of the content in this chapter
 % Version:  01.01.2012
 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\chapter{Experimental results and evaluation}
+\chapter{Experiments}
 \label{chap:evaluation}
 
-chapter intro, which applications do you analyze, perhaps summarize your results beforehand\newline
-
-\blindtext
 % -------------------------------------------------------------------
 
-\section{Experiment 1}
-\label{sec:experiment1}
-
-application, task of experiment 1\newline
-
-\Blindtext[2][2]
-
+\section{SIR Model}
+\label{sec:sir}
 
 % -------------------------------------------------------------------
 
-\subsection{Settings of experiment 1}
-\label{subsec:settings1}
-
-which data/datasets do you use? which parameter settings\newline
-
-\Blindtext[2][2]
+\subsection{Setup}
+\label{sec:sir:setup}
 
 % -------------------------------------------------------------------
 
-\subsection{Results of experiment 1}
-\label{sec:results1}
-
-evaluation of experiment 1\newline
-
-\Blindtext[2][2]
+\subsection{Results}
+\label{sec:sir:results}
 
 % -------------------------------------------------------------------
 
-\section{Experiment 2}
-\label{sec:experiment1}
-
-application, task of experiment 2\newline
-
-\Blindtext[2][2]
+\section{Reduced SIR Model}
+\label{sec:rsir}
 
 % -------------------------------------------------------------------
 
-\subsection{Settings of experiment 2}
-\label{subsec:settings2}
-
-which data/datasets do you use? which parameter settings\newline
-
-\Blindtext[2][2]
+\subsection{Setup}
+\label{sec:rsir:setup}
 
 % -------------------------------------------------------------------
 
-\subsection{Results of experiment 2}
-\label{sec:results2}
-
-evaluation of experiment 2\newline
-
-\Blindtext[2][2]
+\subsection{Results}
+\label{sec:rsir:results}
 
 % -------------------------------------------------------------------
-
-% insert further sections if necessary

chapters/conclusions/__latexindent_temp_conclusions.tex

@@ -1,75 +0,0 @@
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Author:   Phillip Rothenbeck
-% Title:    Your Thesis
-% File:     conclusions/conclusions.tex
-% Part:     conclusions
-% Description:
-%         summary of the content in this chapter
-% Version:  01.01.2012
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\chapter{Conclusions} % \chap{Zusammenfassung}
-\label{chap:conclusions}
-
-\begin{itemize}
-  \item summarize your findings and draw conclusions
-  \item you can use different sections (and even subsections) for different applications or approaches if you want to
-  \item a single text, e.g. with paragraphs, is also sufficient
-\end{itemize}
-
-% -------------------------------------------------------------------
-
-\section{Application 1}
-\label{sec:application1}
-
-section intro, what was the task\newline
-
-\blindtext
-
-% -------------------------------------------------------------------
-
-\subsection{Approach 1}
-\label{subsec:approach1}
-
-findings and conclusions of approach 1 in application 1\newline
-
-\Blindtext[2][2]
-
-% -------------------------------------------------------------------
-
-\subsection{Approach 2}
-\label{subsec:approach2}
-
-findings and conclusions of approach 2 in application 1\newline
-
-\Blindtext[2][2]
-
-
-% -------------------------------------------------------------------
-
-\section{Application 2}
-\label{sec:application2}
-
-section intro, what was the task\newline
-
-\blindtext
-% -------------------------------------------------------------------
-
-\subsection{Basic method}
-\label{subsec:basisMethod}
-
-findings and conclusions of your basic method\newline
-
-\Blindtext[2][2]
-
-% -------------------------------------------------------------------
-
-\subsection{Extended method}
-\label{subsec:extendedMethod}
-
-findings and conclusions of your extended method, e.g. with additional parameter optimization\newline
-
-\Blindtext[2][2]
-
-% -------------------------------------------------------------------
-
-% insert further sections if necessary

chapters/conclusions/conclusions.tex

@@ -7,68 +7,11 @@
 %         summary of the content in this chapter
 % Version:  01.01.2012
 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\chapter{Conclusions} % \chap{Zusammenfassung}
+\chapter{Conclusions}
 \label{chap:conclusions}
 
-\begin{itemize}
-  \item summarize your findings and draw conclusions
-  \item you can use different sections (and even subsections) for different applications or approaches if you want to
-  \item a single text, e.g. with paragraphs, is also sufficient
-\end{itemize}
-
-% -------------------------------------------------------------------
-
-\section{Application 1}
-\label{sec:application1}
-
-section intro, what was the task\newline
-
-\blindtext
-
-% -------------------------------------------------------------------
-
-\subsection{Approach 1}
-\label{subsec:approach1}
-
-findings and conclusions of approach 1 in application 1\newline
-
-\Blindtext[2][2]
-
-% -------------------------------------------------------------------
-
-\subsection{Approach 2}
-\label{subsec:approach2}
-
-findings and conclusions of approach 2 in application 1\newline
-
-\Blindtext[2][2]
-
-
-% -------------------------------------------------------------------
-
-\section{Application 2}
-\label{sec:application2}
-
-section intro, what was the task\newline
-
-\blindtext
-% -------------------------------------------------------------------
-
-\subsection{Basic method}
-\label{subsec:basisMethod}
-
-findings and conclusions of your basic method\newline
-
-\Blindtext[2][2]
-
-% -------------------------------------------------------------------
-
-\subsection{Extended method}
-\label{subsec:extendedMethod}
-
-findings and conclusions of your extended method, e.g. with additional parameter optimization\newline
-
-\Blindtext[2][2]
+\section{Further Work}
+\label{sec:furtherWork}
 
 % -------------------------------------------------------------------
 

chapters/furtherWork/furtherWork.tex

@@ -1,59 +0,0 @@
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Author:   Phillip Rothenbeck
-% Title:    Your Thesis
-% File:     furtherWork/furtherWork.tex
-% Part:     ideas for further work
-% Description:
-%         summary of the content in this chapter
-% Version:  01.01.2012
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\chapter{Further work} % \chap{Ausblick}
-\label{chap:furtherWork}
-
-\begin{itemize}
-  \item explain ideas for further work
-  \item what is not yet solved?
-  \item possible extensions/improvements
-  \item you can use different sections (and even subsections) for different ideas, problems
-  \item a single text, e.g. with paragraphs, is also sufficient
-\end{itemize}
-
-% -------------------------------------------------------------------
-
-\section{Further ideas for your approach}
-\label{sec:furtherIdeas}
-
-shortcomings of your approach, problems\newline
-
-\Blindtext[2][2]
-
-% -------------------------------------------------------------------
-
-\subsection{First extension}
-\label{subsec:firstExtension}
-
-ideas for a first extension\newline
-
-\Blindtext[2][2]
-
-% -------------------------------------------------------------------
-
-\subsection{Second extension}
-\label{subsec:secondExtension}
-
-ideas for a second extension\newline
-
-\Blindtext[2][2]
-
-% -------------------------------------------------------------------
-
-\section{Ideas for a different approach}
-\label{sec:differentApproach}
-
-how to solve your problem in another way\newline
-
-\Blindtext[2][2]
-
-% -------------------------------------------------------------------
-
-% insert further sections if necessary

thesis.bbl

@@ -1,4 +1,4 @@
-\begin{thebibliography}{DR12}
+\begin{thebibliography}{Rud07}
 
 % this bibliography is generated by alphadin.bst [8.2] from 2005-12-21
 
@@ -7,9 +7,9 @@
   \providecommand{\doi}[1]{doi: #1}\else
   \providecommand{\doi}{doi: \begingroup \urlstyle{rm}\Url}\fi
 
-\bibitem[DR12]{Doe12:TIA}
-\textsc{Doe}, John ; \textsc{Roe}, Richard:
-\newblock This is an example.
-\newblock {In: }\emph{Proceedings of the {IEEE} Conference}, 2012, S. 1--8
+\bibitem[Rud07]{Rudin2007}
+\textsc{Rudin}, Walter:
+\newblock \emph{Analysis}.
+\newblock Oldenbourg Wissenschaftsverlag GmbH, 2007
 
 \end{thebibliography}

thesis.bib

@@ -1,11 +1,80 @@
-@INPROCEEDINGS{Doe12:TIA,
-  author = {John Doe and Richard Roe},
-  title = {This is an example},
-  booktitle = {Proceedings of the {IEEE} Conference},
-  year = {2012},
-  pages = {1--8},
-  abstract = {Such a nice abstract},
-  keywords = {insert keywords},
-  review = {some comments},
-  timestamp = {2012.01.03}
-}
+@inbook{Eichner2003,
+  author    = {Eichner, Martin and Kretzschmar, Mirjam},
+  pages     = {81--93},
+  publisher = {Springer Berlin Heidelberg},
+  title     = {Mathematische Modelle in der Infektionsepidemiologie},
+  year      = {2003},
+  isbn      = {9783642556128},
+  booktitle = {Infektionsepidemiologie},
+  doi       = {10.1007/978-3-642-55612-8_8}
+}
+
+@article{1927,
+  author    = {William Ogilvy Kermack and A. G. McKendrick},
+  journal   = {Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character},
+  title     = {A contribution to the mathematical theory of epidemics},
+  year      = {1927},
+  issn      = {2053-9150},
+  month     = aug,
+  number    = {772},
+  pages     = {700--721},
+  volume    = {115},
+  doi       = {10.1098/rspa.1927.0118},
+  publisher = {The Royal Society}
+}
+
+@article{Foerster2024,
+  author    = {Foerster, Dietrich and Bhatkar, Sayali and Bhanot, Gyan},
+  title     = {Parametrization of Worldwide Covid-19 data for multiple variants: How is the SAR-Cov2 virus evolving?},
+  year      = {2024},
+  month     = apr,
+  doi       = {10.1101/2024.04.09.24305557},
+  publisher = {Cold Spring Harbor Laboratory}
+}
+
+@misc{Shaier2021,
+  author    = {Shaier, Sagi and Raissi, Maziar and Seshaiyer, Padmanabhan},
+  title     = {Data-driven approaches for predicting spread of infectious diseases through DINNs: Disease Informed Neural Networks},
+  year      = {2021},
+  copyright = {Creative Commons Attribution 4.0 International},
+  doi       = {10.48550/ARXIV.2110.05445},
+  keywords  = {Machine Learning (cs.LG), Quantitative Methods (q-bio.QM), FOS: Computer and information sciences, FOS: Computer and information sciences, FOS: Biological sciences, FOS: Biological sciences},
+  publisher = {arXiv}
+}
+
+@article{Jayatilaka2022,
+  author    = {Jayatilaka, R. and Patel, R. and Brar, M. and Tang, Y. and Jisrawi, N.M. and Chishtie, F. and Drozd, J. and Valluri, S.R.},
+  journal   = {Materials Today: Proceedings},
+  title     = {A mathematical model of COVID-19 transmission},
+  year      = {2022},
+  issn      = {2214-7853},
+  pages     = {101--112},
+  volume    = {54},
+  doi       = {10.1016/j.matpr.2021.11.480},
+  publisher = {Elsevier BV}
+}
+
+@book{Zill1997,
+  author    = {Dennis G. Zill},
+  editor    = {Gary Ostedt},
+  publisher = {Brooks/Cole Publishing Company, a division of Internaltional Thomson Publishing Inc.},
+  title     = {A First Course In Differential Equations With Modelling Applications},
+  year      = {1997},
+  edition   = {6}
+}
+
+@book{Rudin2007,
+  author    = {Walter Rudin},
+  publisher = {Oldenbourg Wissenschaftsverlag GmbH},
+  title     = {Analysis},
+  year      = {2007}
+}
+
+@book{Tenenbaum1985,
+  author    = {Morris Tenenbaum and Harry Pollard},
+  publisher = {Harper & Row, Publishers, Inc.},
+  title     = {Ordinary Differential Equations},
+  year      = {1985}
+}
+
+@Comment{jabref-meta: databaseType:bibtex;}

thesis.tex

@@ -1,4 +1,4 @@
-%%%%% Explanation of class options
+%%%%%% Explanation of class options
 %
 % predefineddeclaration: if you use option predefineddeclaration, a predefined declaration (always in German!) will be automatically included between titlepage and abstract using \FirstName, \LastName, \ThesisEnd, 
 % 			(1) if you do not use this option, the file "declaration.tex" will be included automatically between titlepage and abstract instead
@@ -29,8 +29,7 @@
 \begin{dbvthesisTitlepageAndDeclaration}
 
   % Specify the title and a possible subtitle of your thesis, if you do not have a subtitle, comment the Subtitle command out
-  \Title{This is the title of my thesis, maybe a very long one} % mandatory
-  \Subtitle{It is possible, that the subtitle is also too long for a single line} % optional
+  \Title{Investigating the Evolution of the COVID-19 Pandemic in Germany Using Physics-Informed Neural Networks}
 
   \ThesisType{Bachelor Thesis}
 
@@ -56,28 +55,31 @@
           \item Introduction / Motivation | 3
           \item Related Work | 2
         \end{enumerate}
-  \item Background | 18
+  \item Background | 12
         \begin{enumerate}
-          \item Theory | 15
+          \item Domains | 1
+          \item Basics of Differential Equations | 1
+          \item Pandemic Models | 3
                 \begin{enumerate}
-                  \item Domains | 1
-                  \item Differential Equations | 1
-                  \item Multilayer Perceptron | 2
-                  \item Physics Informed Neural Networks | 5
-                        \begin{enumerate}
-                          \item Forward Problem | 3
-                          \item Backward Problem | 2
-                        \end{enumerate}
                   \item SIR Model | 2
+                  \item reduced SIR Model | 1
+                \end{enumerate}
+          \item Multilayer Perceptron | 2
+          \item Physics Informed Neural Networks | 5
+                \begin{enumerate}
+                  \item General | 3
                   \item Desease Informed Neural Networks | 2
-                  \item reduced SIR Model | 2
                 \end{enumerate}
-          \item RKI Data | 3
         \end{enumerate}
-  \item Methods | 4
+  \item Methods | 8
         \begin{enumerate}
           \item Data Preprocessing | 3
-          \item Recovery Queue | 1
+                \begin{enumerate}
+                  \item RKI Data | 2
+                  \item Recovery Queue | 1
+                \end{enumerate}
+          \item SIR | 3
+          \item r SIR | 2
         \end{enumerate}
   \item Experiments | 10
         \begin{enumerate}
@@ -114,20 +116,14 @@
 \include{./chapters/chap04/chap04}
 %--------------------------------------------------
 %--------------------------------------------------
-% include more chapters if you want or have to
-%--------------------------------------------------
-%--------------------------------------------------
 \include{./chapters/conclusions/conclusions}
 %--------------------------------------------------
 %--------------------------------------------------
-\include{./chapters/furtherWork/furtherWork}
-%--------------------------------------------------
-%--------------------------------------------------
 
 \appendix
 
 % if you do not have appendix sections, comment this include command out
-\include{./chapters/appendix/appendix}
+%\include{./chapters/appendix/appendix}
 
 \singlespacing
 
@@ -135,7 +131,7 @@
 \bibliography{thesis.bib}
 \bibliographystyle{alphadin} % change the bib-style if you want to
 
-\listoffigures
-\listoftables
+%\listoffigures
+%\listoftables
 
 \end{document}