title: Analytical solution for the extremums of cell water volume and cell volume using a two-parameter model.
abstract: Based on a two-parameter model [Cryobiology 37 (1998) 271-289], the analytical solution for the extremums of cell water volume and cell volume for a two-solute system are obtained. Compared with the numerical solution, the analytical solution offers an accurate but simple choice. The approximate solution [Cryobiology 40 (2000) 64-83] for the extremum of cell water volume is also discussed, the reason for the deviation is presented.
authors.affiliation: Refrigeration and Cryogenic Engineering Institute, Zhejiang University, Hangzhou, 310027, China. enezsz@public.zju.edu.cn
authors.forename: S Z
authors.initials: SZ
authors.lastname: Zhang
authors.forename: G M
authors.initials: GM
authors.lastname: Chen
mesh_terms: D002463:Cell Membrane Permeability; D048429:Cell Size; D003451:Cryoprotective Agents / Q000493:pharmacokinetics; D008954:Models, Biological; D009995:Osmosis; D014867:Water / Q000378:metabolism*
chemical_list: D003451:Cryoprotective Agents; D014867:Water