Abstract
As a non-mathematical biologist I imagine that one of the great joys of those persons engaged in applied mathematics might be that of describing and predicting the behavior of complex living systems through abstractions that incorporate a relatively few key parameters. When this works, we can be a bit more confident about the rules underlying that behavior. Even when the biology does not conform, there may still be much of value in interesting, clever or otherwise novel mathematical models. But I presume (perhaps naively) that a principal objective in such ventures is that of uncovering the rules, interactions and constraints that govern the behavior of real biological systems. To the extent that this is so, the actual behavior of such systems will serve to both test and to set limits on such models.
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Bramble, D.M. (1986). Biomechanical and Neuromotor Factors in Mammalian Locomotor-Respiratory Coupling. In: Othmer, H.G. (eds) Nonlinear Oscillations in Biology and Chemistry. Lecture Notes in Biomathematics, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93318-9_8
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