This is a fantastic insight into doing a PhD in this area!
I have just finished an MMath degree (covering quite a lot of PDEs) and am considering a PhD in mathematical biology. I completely agree that being able to apply what you're doing to 'real life' and being able to describe it to other people makes it so much more interesting!
Thank you for sharing this, it has made me want to do a PhD even more than I did before!
Kirsten Williams