Mathematical Modelling of Heart Rate Changes in the Mouse

Christie, M., Nandi, M., Borg, Y., Carapella, V., Mirams, G., Aston, P., Bayram, S., Simitev, R. , Siggers, J. and Chakrabarti, B. (2014) Mathematical Modelling of Heart Rate Changes in the Mouse. Project Report. National Centre for the Replacement Refinement & Reduction of Animals in Research.

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Publisher's URL: https://www.nc3rs.org.uk/

Abstract

The CVS is composed of numerous interacting and dynamically regulated physiological subsystems which each generate measurable periodic components such that the CVS can itself be presented as a system of weakly coupled oscillators. The interactions between these oscillators generate a chaotic blood pressure waveform signal, where periods of apparent rhythmicity are punctuated by asynchronous behaviour. It is this variability which seems to characterise the normal state. We used a standard experimental data set for the purposes of analysis and modelling. Arterial blood pressure waveform data was collected from conscious mice instrumented with radiotelemetry devices over 24 hours, at a 100Hz and 1kHz time base. During a 24 hour period, these mice display diurnal variation leading to changes in the cardiovascular waveform. We undertook preliminary analysis of our data using Fourier transforms and subsequently applied a series of both linear and nonlinear mathematical approaches in parallel. We provide a minimalistic linear and nonlinear coupled oscillator model and employed spectral and Hilbert analysis as well as a phase plane analysis. This provides a route to a three way synergistic investigation of the original blood pressure data by a combination of physiological experiments, data analysis viz. Fourier and Hilbert transforms and attractor reconstructions, and numerical solutions of linear and nonlinear coupled oscillator models. We believe that a minimal model of coupled oscillator models that quantitatively describes the complex physiological data could be developed via such a method. Further investigations of each of these techniques will be explored in separate publications.

Item Type:Research Reports or Papers (Project Report)
Status:Published
Glasgow Author(s) Enlighten ID:Simitev, Dr Radostin
Authors: Christie, M., Nandi, M., Borg, Y., Carapella, V., Mirams, G., Aston, P., Bayram, S., Simitev, R., Siggers, J., and Chakrabarti, B.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Publisher:National Centre for the Replacement Refinement & Reduction of Animals in Research
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