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September  2009, 12(2): 361-370. doi: 10.3934/dcdsb.2009.12.361

Modelling the dynamic response of oxygen uptake to exercise

Alex James 1, , Simon Green 2, and  Mike Plank 1,

1. 

Dept of Maths and Stats, University of Canterbury, New Zealand, New Zealand
2. 

Dept of Physiology, University of Otago, New Zealand

Received  November 2008 Revised  April 2009 Published  July 2009

The response of oxygen uptake ($\textrVO_2$) to exercise is multiphasic, each phase being exponential and often achieving a plateau before the next phase begins. Although the physiological processes underlying this multiphasic response are unclear, we assume that to some extent they reflect processes within contracting skeletal myocytes. To explore this further, a simple and novel dynamical model of motor unit behaviour during exercise is presented that captures essential features of the exercise $\textrVO_2$ response.
Keywords: multifractal analysis., Dimension theory, Poincaré recurrences.
Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C3.
Citation: Alex James, Simon Green, Mike Plank. Modelling the dynamic response of oxygen uptake to exercise. Discrete & Continuous Dynamical Systems - B, 2009, 12 (2) : 361-370. doi: 10.3934/dcdsb.2009.12.361
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