You can use the AttachedCommandBehavior classes from C# Disciples to achieve this.
Define a command in the ViewModel, and then on the Grid object use the ACB AttachedProperties to bind the MouseLeftButtonUp
event to the command.
Some code to get you started:
<Grid Name="grid" Height="30" ForceCursor="True" Cursor="Hand">
<acb:CommandBehaviorCollection.Behaviors>
<acb:BehaviorBinding Event="MouseLeftButtonUp" Command="{Binding Path=DataContext.EditEventCommand, RelativeSource={RelativeSource AncestorType={x:Type self:Dashboard}}}" CommandParameter="{Binding}" />
</acb:CommandBehaviorCollection.Behaviors>
</Grid>
Edit for non-MVVM solution.
The above code snippet will still work when you have not designed your application following the MVVM guide-lines as you are essentially just binding to a command in the code-behind.
However, if you don't want to go to the trouble of defining commands, you can simply specify an event to hook to, like so:
<Grid MouseLeftButtonUp="Grid_MouseLeftButtonUp">
in the XAML file.
and in the code-behind:
private void Grid_MouseLeftButtonUp(object sender, MouseButtonEventArgs e)
{
}