If the nerve in the root-canaled tooth is gone, how can I feel pain from that tooth?
As endodontists, we get this question a lot. To answer it, we need to chat a little about… the anatomy of a tooth: There are two basic types of nerves associated with a tooth that can cause pain:
- The tooth has nerves in the ligament around the OUTSIDE of the root that holds the tooth in the bone (illustrated below in orange). Healthy nerves outside the tooth report pain when you bite into that unexpected piece of bone or hard seed.
- The tooth also has nerves in the pulp, the tissue INSIDE of the tooth (illustrated below in blue). The nerves and blood supply to the pulp enter through tiny holes at the tips of the roots. Healthy nerves in the tooth can give brief sensitivity when a tooth is bathed in a cold drink or ice cream.
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)
If bacteria from a deep cavity encroach upon the pulp tissue or take over the pulp space of a tooth, the bacteria and inflammatory products spill out of the tiny holes at the root tip. This irritates the nerves outside the root tips in the ligament we described earlier (1). When these ligament nerves become irritated, biting into even soft things can cause discomfort; there can also be constant soreness or outright pain. In simple terms, the goal of root canal treatment is to clean out the bacteria and inflamed or dying nerves in the pulp space, which in turn gradually eliminates inflammation of the ligament at the root tip.
Finally, the answer to the question we started off with: After a root canal, the nerve inside a tooth is indeed gone, but the nerves in the ligament outside the tooth remain very much alive. There are a variety of ways the nerves of the ligament can be irritated and cause pain in a root canaled tooth. Such conditions may include periodontal disease, an “unhealthy” bite, sinus problems, trauma, recent dental work and cracked teeth; additional root canal treatment in these cases is generally not appropriate. In a very small portion of root canaled teeth, bacteria hide in a natural crevice or crack that is inaccessible by the treating dentist/endodontist. Furthermore, new decay or a leaking crown (particularly in teeth that had root canal treatment a long time ago) can allow bacteria to contaminate the root fillings and migrate to the root tips. This bacteria can continue to irritate the ligament of the tooth and cause persisting discomfort; in those cases, root canal retreatment or root-end surgery may be useful (2). Extraction, although a relatively aggressive procedure, would also be a treatment option.
If you are having persistent problems with a tooth that has undergone root canal treatment, call our office! At Ellis Endodontics, our experienced endodontists will perform a thorough exam to determine the cause of discomfort. We will also discuss with you what treatment options are appropriate for your specific situation.
- Kakehashi S, Stanley HR, Fitzgerald RJ. The effects of surgical exposures of dental pulps in germ-free and conventional laboratory rats. Oral Surg Oral Med Oral Pathol 1965;20:340–9.
- Tsesis I, Goldberger T, Taschieri S, Seifan M, Tamse A, Rosen E. The dynamics of periapical lesions in endodontically treated teeth that are left without intervention: a longitudinal study. J Endod 2013;12:1510-5.