A pharmaceutical or dermatological composition for application thereof as a medicament for the treatment of tissue lesions selected from the group comprising locomotor system lesions, bone marrow lesions, muscular tissue lesions, lung lesions, skin lesions, digestive tract lesions, said composition comprising: - a biocompatible polymer of general formula (I) AaXxYy (I) or of formula (II): AaXxYyZz(II) in which: A represents a monomer which is glucose X represents an R 1 COOR 2 group, Y represents a R 7 SO 3 R 8 group Z is an acid acetic group R 1 represents an aliphatic hydrocarbon-based chain which is optionally branched and/or unsaturated, R 2 , represents a hydrogen atom or a cation, Rs is an alkali metal selected from the group comprising lithium, sodium, potassium, rubidium and cesium, and R 7 is a bound, a represents the number of monomers such as the weight of said polymers of formula (I) is greater than 2000 daltons, x represents the degree of substitution of the monomers A by groups X, x is between 20% and 150%. y represents the degree of substitution of the monomers A by groups Y, y is between 30% and 150%, z represents the degree of substitution of the monomers A by groups Z, z is from 0% to 50%, preferably equal to 30%. and - a eukaryotic cell selected from mesenchymal cells, adipocytes cells, bone marrow cells. - a biocompatible polymer of general formula (I) AaXxYy (I) or of formula (II): AaXxYyZz(II) in which: A represents a monomer which is glucose X represents an R 1 COOR 2 group, Y represents a R 7 SO 3 R 8 group Z is an acid acetic group R 1 represents an aliphatic hydrocarbon-based chain which is optionally branched and/or unsaturated, R 2 , represents a hydrogen atom or a cation, Rs is an alkali metal selected from the group comprising lithium, sodium, potassium, rubidium and cesium, and R 7 is a bound, a represents the number of monomers such as the weight of said polymers of formula (I) is greater than 2000 daltons, x represents the degree of substitution of the monomers A by groups X, x is between 20% and 150%. y represents the degree of substitution of the monomers A by groups Y, y is between 30% and 150%, z represents the degree of substitution of the monomers A by groups Z, z is from 0% to 50%, preferably equal to 30%. and A represents a monomer which is glucose X represents an R 1 COOR 2 group, Y represents a R 7 SO 3 R 8 group Z is an acid acetic group R 1 represents an aliphatic hydrocarbon-based chain which is optionally branched and/or unsaturated, R 2 , represents a hydrogen atom or a cation, Rs is an alkali metal selected from the group comprising lithium, sodium, potassium, rubidium and cesium, and R 7 is a bound, a represents the number of monomers such as the weight of said polymers of formula (I) is greater than 2000 daltons, x represents the degree of substitution of the monomers A by groups X, x is between 20% and 150%. y represents the degree of substitution of the monomers A by groups Y, y is between 30% and 150%, z represents the degree of substitution of the monomers A by groups Z, z is from 0% to 50%, preferably equal to 30%. - a eukaryotic cell selected from mesenchymal cells, adipocytes cells, bone marrow cells. <EOS>