Abstract
This contribution is a natural continuation of a series of papers devoted to analysis of models utilized by specialists in Cell Biology around E. Bohl and W. Boos. Our novelty may be seen in enriching the models in direction of controllability in the spirit of biology engineering. Besides the standard properties of the models such as existence of appropriate solutions and their uniqueness the following issues are of interest: Asymptotic behavior (e.g. steady states and pseudo-steady states), controllability and also special features such as various types of symmetries, periodicity etc. Our aim is focused on periodicity of solutions of models whose state objects share the properties of concentrations, i.e. probabilities.
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Marek, I. (2009). On a Class of Stochastic Models of Cell Biology: Periodicity and Controllability. In: Bru, R., Romero-Vivó, S. (eds) Positive Systems. Lecture Notes in Control and Information Sciences, vol 389. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02894-6_35
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DOI: https://doi.org/10.1007/978-3-642-02894-6_35
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