Abstract
Simple linear systems in which there is a steady-state velocity may under some conditions have solutions which are periodic but damped. However, even under favorable circumstances it is not likely that the periodic property can be differentiated from a single overshoot because the effect of damping is so great.
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Literature
Hearon, J. Z. 1953. “The Kinetics of Linear Systems with Special Reference to Periodic Reactions.”Bull. Math. Biophysics,15, 121–41.
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Landahl, H.D. Note on the periodic properties of biochemical systems represented by linear equations. Bulletin of Mathematical Biophysics 17, 127–129 (1955). https://doi.org/10.1007/BF02477990
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DOI: https://doi.org/10.1007/BF02477990