Theoretical analysis of beating and modulation phenomena in weakly inter-coupled van der Pol oscillator systems for biological modelling.
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Biomedical subjects
Publications and source records attributed to D A Linkens.
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A method of spectral-type analysis for rhythmic biomedical data is presented based on autoregressive modelling techniques. The emphasis has been on portability between data-processing machines, so that the programmes are written in FORTRAN 4 for the ICL 1900 series computers. The programmes are structured in blocks allowing for simple alteration to an interactive mode allowing the calculation and display of pre-filtering stages, model coefficients, the pole-zero plot, residuals, AR frequency spectrum, FFT of raw and filtered data. The method works on a small number of cycles and gives a direct read out of significant spectral components.
The advent of cheap, powerful microcomputer systems makes the analysis of data via sophisticated techniques available to the personnel who are non-specialists in computing systems. The DAMP package described here is intended for use on personal computers and has therefore been written in BASIC for portability. The analysis techniques are powerful, comprising algorithms to perform sample-data generation, plotting displays, digital data filtering, auto-correlation functions, fast Fourier transforms and autoregressive modelling. The last technique contains a number of options including the display of z-plane plots, frequency response of the model, residual plotting and auto-correlation of the residuals. Illustrative results are shown from psychological mood data and rat locomotor activity. The package is designed both to instruct a user in the techniques of spectral analysis, and also to provide a range of methods for investigating time and frequency behaviour of biomedical data.
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Both monopolar and bipolar recordings of human colonic myoelectrical activity have been made on 29 occasions from implanted serosal electrodes attached to either the ascending colon or transverse colon. Visual and computer analysis of the signals were made and the incidences of the two electrical rhythms present in the colon were compared for the two recording techniques, recording sites, and methods of analysis. The percentage incidence of both rhythms was similar for the mono and bipolar recording techniques in both parts of the colon. The incidence of the two rhythms in the transverse colon was approximately twice that recorded in the ascending colon, this being true for both recording techniques and methods of analysis, but neither was detected for more than 50% of the time. It is concluded that the methods of data analysis probably account for the differing incidences of electrical activity in the human colon that have been reported previously.
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