What to do when I'm losing lane to scaling champs like Nasus?

Basically as the title says. I'm spamming Mordekaiser lately, and while I think my gameplay is improving, when I'm matched with champs like Kayle or Nasus which scale over time, I'll always lose lane and lose the game. It's usually a result of a mixture of a poorly timed death, well-timed enemy jungle attention and a lack of friendly jungle attention. Taking junglers out of the equation, and assuming I was first pick in matchmaking, what can I do, as Mordekaiser, on my own, to prevent these matchups from scaling out of control and win the lane and win the game myself?
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