People to whom I owe email replies

I am up to my ears on a project right now, with deadlines coming fast and furious, and I’m taking today off.
I’m well aware of a number of pressing email messages in my in box awaiting my reply and I hope that my correspondents can forbear a while longer as I get my act together. I am not ignoring anyone deliberately. I read messages as they come in, and if I can’t reply off the top of my head, there’s sometimes a lag until I can find an opportunity to organize my thoughts and respond cogently.