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Many open problems in biology, as in the physical sciences, display nonlinearand 'chaotic' dynamics, which, to the extent possible, cannot be reasonablyunderstood. Moreover, mathematical models which aim to predict/estimate unknownaspects of a biological system cannot provide more information about the set ofbiologically meaningful (e.g., 'hidden') states of the system than could beunderstood by the designer of the model ab initio. Here, the case is made forthe utilization of such models to shift from a 'predictive' to a 'questioning'nature, and a simple natural-logarithm variation of the logistic polynomial mapis presented that can invoke questions about protein trafficking in eukaryoticcells.

Simple variation of the logistic map as a model to invoke questions on cellular protein trafficking