Geodesic
Cell swelling by osmosis: A variational approach
Martijn Zaal1
1Vrije Universiteit, Amsterdam, Netherlands
Interfaces and free boundaries, Tome 14 (2012) no. 4, pp. 487-520

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DOI

A very simple model for cell swelling by osmosis is introduced, resulting in a parabolic free boundary problem. In case of radially symmetric initial conditions, it is shown that the model can be viewed as a gradient flow involving entropy, surface area and the Wasserstein metric. This observation is used to construct solutions and explain the presence and nature of osmosis.
DOI : 10.4171/ifb/289
Classification : 35-XX, 92-XX, 00-XX
Mots-clés : Gradient flow, osmosis, free boundary

Martijn Zaal  1

1 Vrije Universiteit, Amsterdam, Netherlands 
Martijn Zaal. Cell swelling by osmosis: A variational approach. Interfaces and free boundaries, Tome 14 (2012) no. 4, pp. 487-520. doi: 10.4171/ifb/289
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     title = {Cell swelling by osmosis: {A} variational approach},
     journal = {Interfaces and free boundaries},
     pages = {487--520},
     year = {2012},
     volume = {14},
     number = {4},
     doi = {10.4171/ifb/289},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/289/}
}
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