Run-down and Sick of

Run-down adjective - Showing signs of advanced wear and tear and neglect.

Sick of and run-down are semantically related In some cases you can use "Sick of" instead an adjective phrase "Run-down".

Sick of adjective - Having a strong distaste from surfeit.

Run-down and sick of are semantically related in exhausted topic. Sometimes you can use "Run-down" instead an adjective phrase "Sick of".