The comprehensive study of cryogels is of both theoretical and practical interest. They can serve as a new promising material in pharmacy for the production of new drugs. Cryotropic polymer structures based on polyvinyl alcohol are interesting. This is due to the good mechanical, thermophysical properties of polyvinyl alcohol, the availability of the polymer, non-toxicity, biocompatibility, as well as the relatively simple, cheap method of forming cryotropic polymer structures. This determines the relevance of this study to mathematically substantiate the technology of creating a pharmaceutical composition in the form of cryogel. During the research, substances were used to obtain cryogel - polyvinyl alcohol, propylene glycol, glycerin, polyethylene oxide-400. In the course of the research mathematical methods of research were used, and also the method of crosslinking of a polymeric solution - cryoshewing (a freezing method) is offered. The article presents the results of mathematical calculations of substantiation of the technology of obtaining a pharmaceutical composition in the form of a cryogel based on a polymer of polyvinyl alcohol. The author investigated the indicators of cryogel production, researched the production of crosslinked (physical method) cryogel based on polyvinyl alcohol polymer.