Title: Teaching Radiology Physics Interactively with Scientific Notebook Software
Author: Michael L. Richardson, M.D.
Behrang Amini, M.D., Ph.D.
Email: mrich@uw.edu
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# Teaching Radiology Physics Interactively with Scientific Notebook Software #
Michael L. Richardson, M.D.
Department of Radiology
University of Washington
Seattle WA
Test equations:
$N(t) = N_{0} e^{-\lambda t}$
\\(N(t) = N_{0} e^{-\lambda t}\\)
The decay constant is $\lambda$ .
The decay constant is \\(\lambda\\).
### Simple Radioactive Decay
The decay of a single radioisotope can be expressed by the [following equation](https://en.wikipedia.org/wiki/Radioactive_decay):
$N(t) = N_{0} e^{-\lambda t}$
where $\lambda$ is the decay constant. Half-life ($t_{\frac{1}{2}}$) of an isotope is related to its decay constant by the following expression:
$t_{\frac{1}{2}} = \frac{ln(2)}{\lambda}$
| variable | meaning |
|:-----------------:|:--------------------------------------------|
| N | number of atoms present at time t |
| $N_{0}$ | number of atoms present initially |
| t | time |
| $t_{\frac{1}{2}}$ | half-life = $\frac{ln(2)}{\lambda}$ |
Now, let's use these equations to create a custom decay function.