How to Bind Data to DataGrid at Run-Time

All, I have some test code that works with some test data defined as

    private ObservableCollection<TestClass> _testData = new ObservableCollection<TestClass>();
    public ObservableCollection<TestClass> TestData
    {
        get { return _testData; }
        set { _testData = value; }
    }

and is bound at design-time via

<DataGrid x:Name="dataGrid" ItemsSource="{Binding TestData}".../>

I have created a `DataGrid` which gets populated at run-time via

    dataGrid.ItemsSource = BuildDataGridColumns(cultureDict).Tables[0].AsDataView();

with

    private DataSet BuildDataGridColumn(Dictionary<string, string> cultureDict,
                                         DataTable additionalDt = null)
    {
        // ...
    }

Which works great, however the code that updates the grids visuals that used to work with the test data no longer does due to (I believe) `ItemsSource="{Binding TestData}"` being absent. The XAML that is supposed to bind the text inserted into a `TextBox` and that in the cells of the `DataGrid` is:

<DataGrid x:Name="dataGrid" 
              local:DataGridTextSearch.SearchValue="{Binding ElementName=searchBox, Path=Text, UpdateSourceTrigger=PropertyChanged}" 
              AlternatingRowBackground="Gainsboro" AlternationCount="2" HorizontalAlignment="Stretch"
              VerticalAlignment="Stretch"><DataGrid.Resources><local:SearchValueConverter x:Key="searchValueConverter" /><Style TargetType="{x:Type DataGridCell}"><Setter Property="local:DataGridTextSearch.IsTextMatch"><Setter.Value><MultiBinding Converter="{StaticResource searchValueConverter}"><Binding RelativeSource="{RelativeSource Self}" Path="Content.Text" /><Binding RelativeSource="{RelativeSource Self}" Path="(local:DataGridTextSearch.SearchValue)" /></MultiBinding></Setter.Value></Setter><Style.Triggers><Trigger Property="local:DataGridTextSearch.IsTextMatch" Value="True"><Setter Property="Background" Value="Orange" /></Trigger></Style.Triggers></Style></DataGrid.Resources><DataGrid.CellStyle><Style TargetType="DataGridCell" ><Style.Triggers><Trigger Property="IsSelected" Value="True"><Setter Property="Background" Value="#FF007ACC"/><Setter Property="Foreground" Value="White"/></Trigger></Style.Triggers></Style></DataGrid.CellStyle></DataGrid>

My question is;

How can I create the same binding of my `DataGrid` to the data set I create at run-time?

Someone has suggested that the reason is that my data does not implement `INotifyCollectionChanged` interface, but due to the variable nature of the data, I have to load the data into the `DataGrid` at run-time.

How can I bind this data to the `DataGrid` as a class that implements `INotifyPropertyChanged` if the structure of the data can change?

Thanks very much for your time.

"Everything should be made as simple as possible, but not simpler" - Einstein