Unable to set checkbox checked on MVC page load

In my MVC view, I have a dynamically created list of checkboxes.

@foreach (var door in Model.Doors)
{
    <input type="checkbox" id="@door.ID" name="DoorIds" value="door.ID"/>@Html.Label(door.DoorName);
}

My model -

public virtual IList<int> assignedDoors { get; set; }
public int[] DoorIds { get; set; }

When I tick some checkboxes and press Save, the changes are committed to the database. However, I can't seem to work out how to check the required boxes on page load?

If I put the below code in the HTML checkbox line,

checked="@Model.assignedDoors.Contains(@door.ID)" }

the checkboxes are checked, but when I press Save, I get the following error -

The value 'door.ID,door.ID' is not valid for DoorIds.

Any ideas where I am going wrong?