Biocompatible polymer consisting of a sequence of identical or different components of the formula AaXxYyZz in which: A is a glucose monomer, X is CH2COOH or CH2COO-Na +, and is -SO3H or -SO3 -Na +, Z represents functional chemical groups, except identical or different benzylamine and sulfonate, which are different from X and Y, selected from amino acids, fatty acids, fatty alcohols, ceramides or derivatives thereof, nucleotide targeting sequences, therapeutic agents and diagnostic agents, the groups being fixed X, Y in monomer A, a represents the number of monomers A, the mass of said polymers of formula AaXxYy being greater than 5,000 Daltons, x represents a substitution rate of all monomers A by groups X, which is between 20 and 150%, ey represents a substitution rate of all monomers A by groups Y, which is between 30 and 150%, z represents the substitution rate of all monomers os A by groups Z, which is between 0 and 50%, for use as a medicine designed to regulate homeostasis of the mass and functionality of tissues and organs, characterized in that: - said medicine is used in a process of tissue regeneration, protection, conservation and aging in vivo and ex vivo； - said medicament is designed for the treatment and / or prevention of the adverse effects of ischemia, ionizing radiation, oxidation products induced by diseases or stress or derived from food, said biocompatible polymer being used alone or in combination with superoxide dismutase (SOD)； - this medicine is used in a preservative and protective process against ischemia； - said medicine is designed for the treatment and / or prevention of pathologies associated with hypoxia, with cell degeneration and peroxidations of molecules； - said medicine is designed for the preservation of organs, tissues and prostheses； - said medicine is designed for the treatment and / or prevention of heart and nerve diseases, - said medicine is designed for the treatment and / or prevention of diseases associated with anarc
