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Biomedical subjects

W M Getz

Publications and source records attributed to W M Getz.

3 recordsLinked to original sources

A neural network for processing olfactory-like stimuli.

Several critical issues associated with the processing of olfactory stimuli in animals (but focusing on insects) are discussed with a view to designing a neural network which can process olfactory stimuli. This leads to the construction of a neural network that can learn and identify the quality (direction cosines) of an input vector or extract information from a sequence of correlated input vectors, where the latter corresponds to sampling a time varying olfactory stimulus (or other generically similar pattern recognition problems). The network is constructed around a discrete time content-addressable memory (CAM) module which basically satisfies the Hopfield equations with the addition of a unit time delay feedback. This modification improves the convergence properties of the network and is used to control a switch which activates the learning or template formation process when the input is "unknown". The network dynamics are embedded within a sniff cycle which includes a larger time delay (i.e. an integer ts greater than 1) that is also used to control the template formation switch. In addition, this time delay is used to modify the input into the CAM module so that the more dominant of two mingling odors or an odor increasing against a background of odors is more readily identified. The performance of the network is evaluated using Monte Carlo simulations and numerical results are presented.

Algorithms

Polycondensation and peptide chain-length distribution under prebiotic conditions.

An open-ended system of differential equations is formulated for the number of polymers of length n, n = 1,2,..., under the assumption that all monomers are kinetically equivalent. Although this assumption does not hold in real systems, solutions to the model could provide insights into the processes of polycondensation including polymerizing proteins and polynucleotides. In this paper the equilibrium solution to the system is derived analytically and is used to estimate the concentration of monomers required to obtain a fixed proportion of polymers longer than a given length. Simulation results are also presented to indicate the effects that autocatalytic interactions may have on the dynamics of polycondensation. The results suggest that relatively long-chained peptides (one to several hundred units long) could well have been synthesized under non-template or prebiotic conditions.

Catalysis

An odor discrimination model with application to kin recognition in social insects.

The problem of discriminating between a number of similar, nonspecific odors is discussed with special reference to the phenomenon of kin and nestmate discrimination in social insects. Guided by the basic physiological and anatomical features of the olfactory sensory receptors and neural pathways in insects, a model is presented for the process of odor discrimination. The model hypothesizes neural processing capabilities that include the logarithmic transformations of electrical potentials to generate a scalar quantity representing the "similarity" of two multivalued signals. The model thereby quantifies the notion of phenotype matching that appears in the kin recognition literature, and makes the concept of a recognition template more precise. The hypotheses underlying the model suggest a number of neurophysiological studies that should be undertaken, while the model itself provides a basis for integrating several areas of research pertaining to kin recognition in particular species of animals.

Algorithms