A Patlak plot (sometimes called Gjedde–Patlak plot, Patlak–Rutland plot, or Patlak analysis) is a graphical analysis technique based on the compartment model that uses linear regression to identify and analyze pharmacokinetics of tracers involving irreversible uptake, such as in the case of deoxyglucose. It is used for the evaluation of nuclear medicine imaging data after the injection of a radioopaque or radioactive tracer. The method is model-independent because it does not depend on any specific compartmental model configuration for the tracer, and the minimal assumption is that the behavior of the tracer can be approximated by two compartments – a "central" (or reversible) compartment that is in rapid equilibrium with plasma, and a "peripheral" (or irreversible) compartment, where tracer enters without ever leaving during the time of the measurements. The amount of tracer in the region of interest is accumulating according to the equation: where represents time after tracer injection, is the amount of tracer in region of interest, is the concentration of tracer in plasma or blood, is the clearance determining the rate of entry into the peripheral (irreversible) compartment, and is the distribution volume of the tracer in the central compartment. The first term of the right-hand side represents tracer in the peripheral compartment, and the second term tracer in the central compartment. By dividing both sides by , one obtains: The unknown constants and can be obtained by linear regression from a graph of against . (Wikipedia).
Subplots using Plotly for Python
In this tutorial I describe the all important process of creating more than one plot in a single figure. Plots can be placed on a grid specified by row and column size. Even these, though, can be scaled. I also show you how to scare axes and how to create odd pairings. Jupyter notebook
From playlist Data viz using Plotly for Python
Scatter plots using Plotly for Python
In this tutorial on Plotly for Python I take a look at scatter plots. They are very useful charts and plot pairs of values for two variables. Plotly actually makes is quite easy to introduce a third and even a fourth variable onto the 2D plane of a figure. Jupyter notebook files are ava
From playlist Data viz using Plotly for Python
In this new series I take a look at my favorite plotting library of all time. Plotly. Plotly is a cloud service for plotting. It can also be used in many programming languages, though. In this playlist I will be showing you how to use it with Python in a Jupyter notebook. The files ar
From playlist Data viz using Plotly for Python
How to Make Stem and Leaf Plots | Statistics
We go over how to make stem and leaf plots to represent data sets, and some of the things we can interpret from them. These plots are a bit tricky, but they're very similar to histograms while giving us a more nuanced view of the data. We'll discuss the importance of including a key with y
From playlist Statistics
Package Gadfly 06 Scatter plots Lines More examples
In this section I revisit scatter plots, add some vertical and horizontal lines and show a variety of other Gadfly goodies.
From playlist The Julia Computer Language
Stem and Leaf Plots aka Stemplots
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Stem and Leaf Plots aka Stemplots. In this video, I show how to make a stem and leaf plot, also known as a stemplot.
From playlist All Videos - Part 2
How to Create a Dot Plot in StatCrunch
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Create a Dot Plot in StatCrunch
From playlist StatCrunch
Simplifying ratios involving fractions
Simplifying ratios involving fractions This video is part of a playlist: https://www.youtube.com/playlist?list=PLjbxBzUM6SLnSYop8JXLu9zciW-rn7yyD To support tecmath making new math videos on Patreon: https://www.patreon.com/tecmath To donate to the tecmath channel: https://paypal.me/tecm
From playlist Fractions
Is This True? Do You Know? Interesting Set Theory Question
Interesting Set Theory Question If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that you can help support my channel:) C
From playlist Set Theory
Seaborn Python Tutorial | Complete Seaborn Crash Course | Data Visualization in Seaborn | Kgp Talkie
Seaborn is a Python data visualization library based on matplotlib. It provides a high-level interface for drawing attractive and informative statistical graphics. Statistical analysis is a process of understanding how variables in a dataset relate to each other and how those relationships
From playlist Brief Introduction to Data Science
Introduction to R: Plotting with ggplot2
The base R plotting functions are nice for quick and dirty exploratory data analysis, but if you need to make more complicated plots or figures for use on the web or in publications you will want to use a fully featured plotting package like ggplot2. The ggplot2 library uses a standardized
From playlist Introduction to R
This tutorial illustrates how to generate 2D plots in Mathematica. Topics include but are not limited to: -Using the ‘Plot’ command. -Decorating a plot (labeling axes, title, grid lines, legend, text, etc.). -Setting axes limits. -Multiple plots on the same axes. -ListPlot -LisLintPlot -
From playlist Working with Mathematica
In this talk, we will explore different geographic visualization functions in the Wolfram Language. We will look at how these functions can be used to visualize geo data. We will explore some of the options that make these functions powerful tools for producing compelling geo visualization
From playlist Wolfram Technology Conference 2021
Introduction to R: Plotting in Base R
After loading data, it is important to get a sense of the distribution of the variables and how they relate to one another. This process known as exploratory data analysis or eda. Frequency tables are a tool for exploring categorical variables (variables that encode variables with a discre
From playlist Introduction to R
Python for Data Analysis: Plotting With Pandas
This video covers the basics of plotting with the pandas library in Python, including how to make histograms, boxplots, scatter plots, bar plots and line plots. Subscribe: ► https://www.youtube.com/c/DataDaft?sub_confirmation=1 This is lesson 20 of a 30-part introduction to the Python pr
From playlist Python for Data Analysis
From playlist Exploratory Data Analysis
Seaborn Tutorial : Seaborn Full Course
New Data Science / Machine Learning Video Everyday at 1 PM EST!!! [ Click Notification Bell ] This video provides complete coverage of Seaborn with many real world examples. Seaborn is a data visualization library built on top of Matplotlib. Seaborn is often used because it makes attracti
From playlist Machine Learning & Data Science
Python Data Visualization Tutorial | Python Data Visualization Projects Examples | Simplilearn
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Python Visualization Tutorial | Visualization With Python, Matplotlib And Pandas | Simplilearn
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Chapter 6 - Box Whisker Plot - IB Math Studies (Math SL)
Hello and welcome to What Da Math This video is an introduction to box whisker plots from Chapter 6 of Haese edition of IB Math Studies book. SUBSCRIBE for more math and math studies videos Join me on Twitter: http://twitter.com/WhatDaMath
From playlist IB Math Studies Chapter 6