<Border Visibility="{Binding Path=BlinkOn, Converter={StaticResource BoolToVis}}" BorderThickness="1" BorderBrush="Red" CornerRadius="5" Margin="5">
    <TextBlock x:Name="lblStoryboard"
               TextAlignment="Center"
               Padding="5"
               Width="Auto"
               Background="Red"
               Foreground="Black"
               FontSize="12.5"
               FontWeight="Bold"
               Style="{StaticResource BlinkingTextBlock}"
               Text="Hi there!"
               TextWrapping="WrapWithOverflow"
               Visibility="{Binding Path=BlinkOn, Converter={StaticResource BoolToVis}}">
    </TextBlock>
</Border>