Luca Borlolussi, Maria Vigliotti
In biological phenomena like osmosis, the rate of flow of water
molecules in or out of biological compartments depends on the solute
concentration and on other forces, like hydrostatic pressure. A
similar example is the passive transport of ions in and out the cell
membrane. In this paper, we address the problem of faithfully
modelling these kind of phenomena with an adequate process calculus.
We enhance the ambient calculus stochastic semantics with functional
rates, which are calculated by taking into account the volume of
ambients and the surrounding environment. A model of osmosis in
plant cells will be used as an example to show the new features of
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