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Biological clock mutants and parameter changes in mathematical models

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Abstract

A number of recent experiments have revealed the existence of mutants with different free run periods in their circadian rhythms. Parameter variations in mathematical models can be used to simulate such changes. In addition, phase response curves (PRC) are derived and the effect of parameter variation in their shape is studied. It is shown that changes in global parameters can also distort their shape. Therefore one cannot conclude that genetic experiments provide evidence in favor of “chronon” models since “kinetic” models can also simulate their outcome.

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Research supported by NIH Grant GM-20289.

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Pavlidis, T. Biological clock mutants and parameter changes in mathematical models. Bltn Mathcal Biology 37, 407–417 (1975). https://doi.org/10.1007/BF02459522

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