Does anesthetizing correctly have a learning curve? How often do dentists miss the nerve they are trying to numb?
There is a learning curve to everything we do, but if you do not obtain profound local anesthesia after a standard technique, you must also consider two things: anatomic variations and the presence of infection.
For example of the former, my cadaver in dental school had a common trunk for the facial and lingual arteries coming off the external carotid artery, and this bifurcated into the respective arteries after 1 cm.
The same applies to nerve anatomy. This is most troublesome with inferior alveolar block anesthesia. For example, the nerve to mylohyoid occasionally will send a branch up to the incisors. For anterior teeth, I will infiltrate on the lingual aspect of the incisors. For posterior teeth, I will give additional anesthetic inferiorly in the retromolar trigone to where I normally do. For mandibular second and third molars, the root apices will sometimes come through the lingual cortical plate, and I will infiltrated in retromylohyoid fossa. If this doesn't work, I will give an intraosseous block, akin to a PDL injection.
Secondly, odontogenic infections tend to make the surrounding tissue acidic, and due to the pka of the local anesthetic, it will not diffuse through the cell wall of the nerve (see the Henderson-Hasselback equation). In these cases, it doesn't matter how much local the patient receives. Profound local anesthesia will not be possible.
As an oral and maxillofacial surgeon, I am blessed to be able to administer a general anesthetic.
It is important also to remember maximum doses (mg/kg), especially in children, of each local anesthetic that you use. I have an Excel spreadsheet in each operating room showing the maximum allowable amounts based on weight, with it broken down into the number of carpules based on weight. There have been some case reports in the literature of deaths in children in dental offices due to local anesthetic overdoses.