How do I handle a long gap on my résumé? - what worked for you?

My résumé shows a gap from a layoff and some health issues. I have read a lot of threads here and could not find my exact situation. I am nervous about being filtered out. Did anyone get past it?

Thanks for writing this out. I went through something close to it 11 months ago, and it settled down once I kept a simple log of every call and form.