Databinding control properties (e.g. color) to a field which is not displayed

I am moving my first steps with databases and databinding, and I'm trying to figure some things out.

In my Access db, I have a table (Items) with string fields such as Description, Code and Comments. I also have additional boolean fields such as Availability and Relevance.

"Items"

|  ID  |  Description  |  Code  |  Comments  |  Availability  |  Relevance  |
|      |               |        |            |                |             |    
|   1  |  Apple        |  AP    |  Red       |        x       |             |
|   2  |  Orange       |  OR    |  Orange    |        x       |       x     |
|   3  |  Banana       |  BN    |  Yellow    |                |       x     |
|   4  |  Lime         |  LM    |  Green     |        x       |             |

I want to display some of this data in a dataGridView via databinding: mostly Description, Code and Comments.

private void DataBindGridView()
    {
        string dbPath = @"C:\FruitDB.accdb";
        string connStr = "Provider=Microsoft.ACE.OLEDB.12.0;Data Source=" + dbPath + ";Persist Security Info=False;";

        OleDbConnection dbConn = new OleDbConnection(connStr);
        dbConn.Open();

        string query = "SELECT Description, Code, Comments, FROM Items ORDER BY ID ASC";
        OleDbCommand getItems = new OleDbCommand(query);
        OleDbDataAdapter dbDataAdapter = new OleDbDataAdapter(getItems);

        DataTable itemsTable = new DataTable();
        itemsTable.Locale = System.Globalization.CultureInfo.InvariantCulture;
        dbDataAdapter.SelectCommand.Connection = dbConn;
        dbDataAdapter.Fill(itemsTable);

        // I want my first column to contain a checkbox for other purposes
        // 
        DataGridViewCheckBoxColumn col1 = new DataGridViewCheckBoxColumn(false);
        col1.Name = "Selection";
        col1.HeaderText = "";
        dataGridView1.Columns.Add(col1);

        // Binding the dataGridView
        //
        dataGridView1.ReadOnly = false;
        dataGridView1.DataSource = itemsTable;

        // The user is allowed to edit the checkbox column only
        // 
        foreach (DataGridViewColumn col in dataGridView1.Columns)
        {
            if (col.Index == 0)
            {
                col.ReadOnly = false;
            }
            else
            {
                col.ReadOnly = true;
            }
        }
    }

Now, even though I don't want to display the Availability or Relevance information as separate columns in the dataGridView, I do want that information to be shown in some other way, e.g. as a strikethrough font or by setting the line color to grey.

How do I databind these properties? Do I need to repeat the whole thing with a different another query / command / dataTable...?