How do I handle a long gap on my résumé?

My résumé shows a gap from a layoff and some health issues. I worked as an insurance claims processor before this. I am nervous about being filtered out. What do you say in interviews?

Thanks for writing this out. I went through something close to it 9 months ago, and it settled down once I kept a simple log of every call and form.

Keep your skills fresh and mention anything recent. It shows momentum.