In a large skillet, cook the bacon over medium heat for 5 minutes.
Add the onion, celery, bell pepper and garlic and cook until the vegetables are softened, about 7 minutes.
Push to the side of the skillet, increase the heat to high and add the ground beef. Cook until the ground beef is cooked through, about 7 minutes.
Stir in the ketchup and Worcestershire sauce and cook until thickened, about 5 minutes more.
Season to taste with salt and pepper and serve on the toasted buns.