How to remove FilteringScheme using C# API?

Hello, I am trying to figure out how to remove a FilteringScheme from the API. The code below adds one but I am having trouble how to delete one after I add it. Does anyone have any suggestions? 

// Add a new data filtering selection.
DataFilteringSelection dataFilteringSelection = document.Data.Filterings.Add("Filtering Scheme1");
// A filtering scheme has now been implicitly added for the new data filtering selection.
FilteringScheme myFilteringScheme = document.FilteringSchemes[dataFilteringSelection];
// Let the active page use the new filtering scheme.
document.ActivePageReference.FilterPanel.FilteringSchemeReference = myFilteringScheme;


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