Pitch perception: A dynamical-systems perspective

Two and a half millennia ago Pythagoras initiated the scientific study of the pitch of sounds; yet our understanding of the mechanisms of pitch perception remains incomplete. Physical models of pitch perception try to explain from elementary principles why certain physical characteristics of the stimulus lead to particular pitch sensations. There are two broad categories of pitch-perception models: place or spectral models consider that pitch is mainly related to the Fourier spectrum of the stimulus, whereas for periodicity or temporal models its characteristics in the time domain are more important. Current models from either class are usually computationally intensive, implementing a series of steps more or less supported by auditory physiology. However, the brain has to analyze and react in real time to an enormous amount of information from the ear and other senses. How is all this information efficiently represented and processed in the nervous system? A proposal of nonlinear and complex systems research is that dynamical attractors may form the basis of neural information processing. Because the auditory system is a complex and highly nonlinear dynamical system, it is natural to suppose that dynamical attractors may carry perceptual and functional meaning. Here we show that this idea, scarcely developed in current pitch models, can be successfully applied to pitch perception.

Desensitization of the Perception System for Chitin Fragments in Tomato Cells

Suspension-cultured tomato (Lycopersicon esculentum) cells react to stimulation by chitin fragments with a rapid, transient alkalinization of the growth medium, but behave refractory to a second treatment with the same stimulus (G. Felix, M. Regenass, T. Boller [1993] Plant J 4: 307–316). We analyzed this phenomenon and found that chitin fragments caused desensitization in a time- and concentration-dependent manner. Partially desensitized cells exhibited a clear shift toward lower sensitivity of the perception system. The ability of chitin oligomers to induce desensitization depended on the degree of polymerization (DP), with DP5 ≈ DP4 ≫ DP3 ≫ DP2 > DP1. This correlates with the ability of these oligomers to induce the alkalinization response and to compete for the high-affinity binding site on tomato cells and microsomal membranes, indicating that the alkalinization response and the desensitization process are mediated by the same receptor. The dose required for half-maximal desensitization was about 20 times lower than the dose required for half-maximal alkalinization; desensitization could therefore be used as a highly sensitive bioassay for chitin fragments and chitin-related stimuli such as lipochitooligosaccharides (nodulation factors) from Rhizobium leguminosarum. Desensitization was not associated with increased inactivation of the stimulus or with a disappearance of high-affinity binding sites from the cell surface, and thus appears to be caused by an intermediate step in signal transduction.