How to automatically extend the tab control as items are added to it without creating a scroll bar?

....
foreach (string id in ids)
{
    TabControl.Items.Add(CreateTabItem(id));
}

private TabItem CreateTabItem(string name)
{
    StackPanel txtBlock = new TextBlock();
    txtblock.Text = name;
    txtBlock.HorizontalAlignment = Horizontalalignment.Center;
    panel.Children.Add(txtBlock);

    TabItem item = new TabItem();
    item.Header = panel;

    <SomeControl> control = new <SomeControl>();
    item.Content = control;
    return item;
 }

MinWidth="100" MinHeight="300" TabStripPlacement="Left"

<ScrollViewer>
    <TabControl
    	TabStripPlacement="Left"
    	x:Name="Tab"
    >
    </TabControl>
</ScrollViewer>