Wave superpositioning and the initiation of tooth morphogenesis: an application of the Bandwidth Theorem

The Bandwidth Theorem states that a single significant pulse R(t) of time duration delta t will result from the superpositioning of wave components over a frequency range delta omega. A continuous oscillatory source will result in the formation of a wave train with regular peaks of amplitude that decay as a result of random phase differences. It is postulated that such a source of oscillation exists at the mesial end of the jaw, from whence wave trains are initiated that progress distally, where they stimulate competent cells to cross the morphogenic threshold of odontogenesis.