While dentists may not be the most popular local search topic for many users, most potential patients no longer turn to the Yellow Pages to find a professional to their clean (presumably) yellow teeth.
In order to be recognized and accumulate more patients, your dental website must be easily found, have a modern, updated design and offer future patients some value, according to Dentistry IQ.
If your site doesn't utilize any local SEO tools, such as keyword optimization or link building, it's time to re-evaluate your entire marketing philosophy. The first step would be getting listed on Google Places, so if a potential patient does a search for "dentist" in your area, your practice will come up, with an address, phone number, hours, etc.
Also, your website is a reflection on your practice as a whole. If it's outdated, uses tacky animations or has poor navigation schemes, that might be all it takes for a customer to leave the site and move onto a competitor. Consider hiring a professional web design company to get you back up to speed.
Lastly, a call to action should be somewhere on your site. For example, ask visitors to call up for an appointment, offer education on dental procedures or include links to social media, blogs and patient reviews.