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presentation6.tex
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%% This Beamer template is based on the one found here: https://github.com/sanhacheong/stanford-beamer-presentation, and edited to be used for Stanford ARM Lab
\documentclass[10pt]{beamer}
%\mode<presentation>{}
\usepackage{media9}
\usepackage{amssymb,amsmath,amsthm,enumerate}
\usepackage[utf8]{inputenc}
\usepackage{array}
\usepackage[parfill]{parskip}
\usepackage{graphicx}
\usepackage{caption}
\usepackage{subcaption}
\usepackage{bm}
\usepackage{amsfonts,amscd}
\usepackage[]{units}
\usepackage{listings}
\usepackage{multicol}
\usepackage{multirow}
\usepackage{tcolorbox}
\usepackage{physics}
%encoding
%--------------------------------------
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
%--------------------------------------
%Portuguese-specific commands
%--------------------------------------
\usepackage[portuguese]{babel}
%--------------------------------------
%Hyphenation rules
%--------------------------------------
\usepackage{hyphenat}
\hyphenation{mate-mática recu-perar}
%--------------------------------------
% Enable colored hyperlinks
\hypersetup{colorlinks=true}
% The following three lines are for crossmarks & checkmarks
\usepackage{pifont}% http://ctan.org/pkg/pifont
\newcommand{\cmark}{\ding{51}}%
\newcommand{\xmark}{\ding{55}}%
% Numbered captions of tables, pictures, etc.
\setbeamertemplate{caption}[numbered]
%\usepackage[superscript,biblabel]{cite}
\usepackage{algorithm2e}
\renewcommand{\thealgocf}{}
% Bibliography settings
\usepackage[style=ieee]{biblatex}
\setbeamertemplate{bibliography item}{\insertbiblabel}
\addbibresource{references.bib}
% Glossary entries
\usepackage[acronym]{glossaries}
\newacronym{ML}{ML}{machine learning}
\newacronym{HRI}{HRI}{human-robot interactions}
\newacronym{RNN}{RNN}{Recurrent Neural Network}
\newacronym{LSTM}{LSTM}{Long Short-Term Memory}
\theoremstyle{remark}
\newtheorem*{remark}{Remark}
\theoremstyle{definition}
\newcommand{\empy}[1]{{\color{darkorange}\emph{#1}}}
\newcommand{\empr}[1]{{\color{cardinalred}\emph{#1}}}
\newcommand{\examplebox}[2]{
\begin{tcolorbox}[colframe=darkcardinal,colback=boxgray,title=#1]
#2
\end{tcolorbox}}
\usetheme{Stanford}
\input{./style_files_stanford/my_beamer_defs.sty}
\logo{\includegraphics[height=0.4in]{./images/logoufjf10.png}}
% commands to relax beamer and subfig conflicts
% see here: https://tex.stackexchange.com/questions/426088/texlive-pretest-2018-beamer-and-subfig-collide
\makeatletter
\let\@@magyar@captionfix\relax
\makeatother
\newcommand{\code}[1]{\textcolor{red} {\textit{#1}}} %comentarios
\title[Reunião de Orientação 06]{Reunião de Orientação 06}
%\subtitle{Subtitle Of Presentation}
%\beamertemplatenavigationsymbolsempty
\begin{document}
\author[Modelagem Computacional]{
\begin{tabular}{c}
\Large
Igor Pires dos Santos\\
\footnotesize \href{mailto:igor.pires@ice.ufjf.br}{igor.pires@ice.ufjf.br}\\
\textbf{Orientador:} Rafael Bonfim
\end{tabular}
\vspace{-4ex}}
\institute{
\vskip 5pt
\begin{figure}
\centering
\begin{subfigure}[t]{0.5\textwidth}
\centering
\includegraphics[height=0.33in]{images/logoufjf1}
\end{subfigure}%
~
\begin{subfigure}[t]{0.5\textwidth}
\centering
\includegraphics[height=0.33in]{./images/PGMC.png}
\end{subfigure}
\end{figure}
\vskip 5pt
Programa de Pós-Graduação em Modelagem Computacional\\
Universidade Federal de Juiz de Fora\\
\vskip 3pt
}
% \date{June 15, 2020}
\date{\today}
\begin{noheadline}
\begin{frame}\maketitle\end{frame}
\end{noheadline}
\setbeamertemplate{itemize items}[default]
\setbeamertemplate{itemize subitem}[circle]
\begin{frame}
\frametitle{Sumário} % Table of contents slide, comment this block out to remove it
\tableofcontents % Throughout your presentation, if you choose to use \section{} and \subsection{} commands, these will automatically be printed on this slide as an overview of your presentation
\end{frame}
\section{Introdução}
\begin{frame}[allowframebreaks]
\frametitle{Introdução}
\begin{itemize}
\item A construção de modelos de árvores arteriais é importante para a realização de estudos hemodinâmicos. Neste trabalho, apresentam-se:
\item (i) um esquema analítico para o cálculo das características locais das ondas de fluxo e pressão em modelos de árvores arteriais 1D
\item (ii) um ambiente computacional desenvolvido para a simulação e visualização dos resultados no tocante à construção de modelos e estudos hemodinâmicos. Os resultados obtidos neste trabalho estão condizentes com dados numéricos relatados na literatura.
\end{itemize}
\end{frame}
\section{Modelo Matemático}
\begin{frame}[allowframebreaks]
\frametitle{Modelo Matemático}
\begin{itemize}
\item \textbf{Árvore proposta}
\item Árvore extraída do artigo Duan \& Zamir.
\end{itemize}
\framebreak
\begin{itemize}
\item \textbf{Duan \& Zamir}
\item 2 Artérias terminais.
\item 6 segmentos totais (2 pares idênticos).
\item Considerando o caso não-viscoso e $\phi = 0$
\item Fase um (7 variáveis) + Fase Dois (5 variáveis)
\end{itemize}
\framebreak
\begin{itemize}
\item \textbf{Parâmetros de Entrada (r(cm),L(cm),$\rho$(g/$cm^3$),E(g/$cm*s^2$),f(Hz),$\epsilon$,$\mu_0$,$\phi_0$)}
\item $ f =3.65$Hz.
\item [0] = $(r = 0.65)$, $(L = 25)$,$(\rho = 0.96)$ e $(E = 4.8 * 10^6)$.
\item [1] = $(r = 0.45)$, $(L = 11)$,$(\rho = 1.134)$ e $(E = 10^7)$.
\item [2] = $(r = 0.3)$, $(L = 12)$,$(\rho = 1.172)$ e $(E = 10^7)$.
\item [3] = $(r = 0.2)$, $(L = 10)$,$(\rho = 1.235)$ e $(E = 10^7)$.
\end{itemize}
\framebreak
\begin{itemize}
\item $ h = 0.1 * r $.
\item $ C = \sqrt{\frac{Eh}{\rho 2 r}}$.
\item $ \omega = 2 \pi f$.
\item $ \beta = \omega \frac{L}{c}$.
\item $ Y = \frac{\pi r^2}{\rho c}$.
\end{itemize}
\framebreak
\begin{itemize}
\item \textbf{Ângulo do fase}:
\item $ E_c = \|E_c\|\exp{i\phi}$.
\item $ \phi = \phi_0 (1 - \exp{-w})$.
\end{itemize}
\framebreak
\begin{itemize}
\item \textbf{Viscoso}:
\item $ c_v = c\sqrt{\epsilon}$.
\item $ Y_v = Y\sqrt{\epsilon}$.
\item $ \alpha = R \sqrt{\frac{\omega \rho}{\mu}}$.
\item $ \phi = \phi_0 (1 - \exp{-w})$.
\item $ \epsilon = 1 - F_{10}(\alpha)$.
\item $ F_{10}(\alpha) = \frac{2J_1(i^{\frac{3}{2}} \alpha)}{\alpha i^{\frac{3}{2}} J_0(i^{\frac{3}{2}} \alpha)}$.
\end{itemize}
\framebreak
\begin{itemize}
\item \textbf{Reflection Coefficient <<complex>> e Admittance <<complex>>}
\item Se folha $ R = 0 $, senão $ R = \frac{Y - (Ye_r + Ye_l)}{Y + (Ye_r Ye_l)}$.
\item Se folha $ Ye = Y $, senão $ Ye = Y * \frac{(1 - R\exp{-2i\beta})}{(1 + R\exp{-2i\beta})}$.
\item \textbf{Medium Pressure <<complex>>}
\item Se raiz $ \bar{P} = \bar{P}_0 $, senão $ \bar{P} = \bar{P}_f * \frac{((1 + R_f)\exp{-i\beta_f})}{(1 + R\exp{-2i\beta})}$.
\end{itemize}
\framebreak
\begin{itemize}
\item \textbf{Pressure <<complex>>}
\item $ P = \bar{P} * ( \exp{-i\beta X} + R\exp{-i2\beta}\exp{i\beta X})$.
\item $ \bar{P} = \frac{\bar{p}}{\bar{p}_0}$ e $\bar{p}_0 = 1$
\item $ P = \frac{p}{p_0}$ e $p_0 = \bar{p}_0 \exp{i\omega t}$
\end{itemize}
\framebreak
\begin{itemize}
\item \textbf{Flow <<complex>>}
\item $ Q = M \bar{P} * (\exp{-i\beta X} - R\exp{-i2\beta}\exp{i\beta X})$.
\item $ M = \frac{Y}{Y_r}$
\item $ Q = \frac{q}{q_0}$
\item $ q_0 = Y_r * p_0$
\end{itemize}
\framebreak
\begin{itemize}
\item \textbf{Flow <<complex>>}
\item $ \frac{q}{q_0} = M \bar{P} * (\exp{-i\beta X} - R\exp{i\beta(X - 2)})$.
\item $ q = M` \bar{P} * (\exp{-i\beta X} - R\exp{i\beta(X - 2)})$.
\item $ M` = \frac{Y}{Y_r} * Y_r * p_0 = Y * p_0$
\item $p_0 = \bar{p}_0 \exp{i\omega t}$
\item $p_0 = 1$ com $t = 0$
\end{itemize}
\end{frame}
\section{Modelo Computacional}
\begin{frame}[allowframebreaks]
\frametitle{Modelo Computacional}
\begin{itemize}
\item \includegraphics[width=1\textwidth]{images/Prancheta 2_2@4x.png}
\end{itemize}
\framebreak
\begin{flushleft}
\includegraphics[width=0.4\textwidth]{images/Prancheta 8@4x.png}
\end{flushleft}
\begin{center}
\item \includegraphics[width=0.4\textwidth]{images/Prancheta 9@4x.png}
\end{center}
\begin{flushright}
\includegraphics[width=0.4\textwidth]{images/Prancheta 10@4x.png}
\end{flushright}
\framebreak
\begin{itemize}
\item \includegraphics[width=0.6\textwidth]{images/Prancheta 11@4x.png}
\end{itemize}
\framebreak
\begin{itemize}
\item \includegraphics[width=0.6\textwidth]{images/Prancheta 13_1@4x.png}
\end{itemize}
\framebreak
\begin{itemize}
\item \includegraphics[width=0.6\textwidth]{images/Prancheta 13@4x.png}
\end{itemize}
\framebreak
\begin{itemize}
\item \includegraphics[width=0.6\textwidth]{images/Prancheta 17@4x.png}
\end{itemize}
\framebreak
\begin{itemize}
\item \includegraphics[width=0.6\textwidth]{images/Prancheta 7@4x.png}
\end{itemize}
\framebreak
\begin{itemize}
\item \includegraphics[width=0.6\textwidth]{images/Prancheta 16@4x.png}
\end{itemize}
\framebreak
\begin{itemize}
\item \includegraphics[width=0.6\textwidth]{images/Prancheta 14@4x.png}
\end{itemize}
\framebreak
\begin{itemize}
\item \includegraphics[width=0.6\textwidth]{images/Prancheta 15@4x.png}
\end{itemize}
\end{frame}
\section{Resultados}
\begin{frame}[allowframebreaks]
\frametitle{Resultados}
\begin{center}
\includegraphics[width=0.4\textwidth]{images/pressure_3_65.png}
\includegraphics[width=0.4\textwidth]{images/pressure_7_30.png}
\includegraphics[width=0.4\textwidth]{images/pressure_10_95.png}
\includegraphics[width=0.4\textwidth]{images/pressure_14_60.png}
\end{center}
\framebreak
\begin{center}
\includegraphics[width=0.4\textwidth]{images/flow_3_65.png}
\includegraphics[width=0.4\textwidth]{images/flow_7_30.png}
\includegraphics[width=0.4\textwidth]{images/flow_10_95.png}
\includegraphics[width=0.4\textwidth]{images/flow_14_60.png}
\end{center}
\end{frame}
\section{Dissertação}
\begin{frame}[allowframebreaks]
\frametitle{Dissertação}
\begin{itemize}
\item Ferramenta Coputacional
\item Estrutura de dados
\item (Sinais e slots, paralelização)
\item Lista de comandos
\item Interface gráfica
\item Resultados
\item Fluxo
\item Pressão
\item Conclusão
\end{itemize}
\end{frame}
\section{Cronograma}
\begin{frame}[allowframebreaks]
\frametitle{Cronograma}
\begin{itemize}
\item Jan: Fim do programa e pseudo-algoritmo
\item Fev: Fim da disseração
\item Mar: Ajustes dissertação
\item Abr:
\item Mai: Ajustes finais
\end{itemize}
\end{frame}
\end{document}