These data and mathematical model seem useful in the design of new vascular synthetic or biological prostheses for the field of tissue engineering.
The mathematical model seems to be realistic and accurate, within the realm of the classical theory of vibrating plates.
Therefore, both models seem adequate to model industrial systems operating mostly in this intermediate reaction regime, although the film model allows a simpler mathematical treatment.
One might wonder why fusion states would be of interest in mathematical models, since it seems unlikely that the two values X a and X b would be equal.
Given the formal and mathematical framework of the Semantic View (see above), however, the broad plurality of kinds of models seems to properly belong under a Pragmatic View of Models.
Some of them arise from practical problems of observation, others are deductions from theoretical and mathematical models, and others still seem to be consequences of the conceptual scaffolding of knowledge in general.
Despite the growing number of mathematical models of somitogenesis, there seems to be a notable absence of a particular kind of model in the literature to date.
The predictions of the auxin canalization hypothesis have been rigorously tested and are supported by computer simulation of mathematical models [ 89– 91]; nevertheless, inconsistencies seem to exist between experimental evidence and hypothesis' predictions.
Based on several experimental observations and in mathematical models separating genotype and phenotype, it seems that the rate of incorporation of new mutations in adapting populations proceeds regularly, while the phenotype experiences discontinuous changes [ 7, 8].
Whether or not Smolin wins his argument with his fellow physicists, the case he makes for saying that when we deny the reality of time, we are confusing a mathematical model with what it is modelling seems to me convincing.
