The biocompatible, biodegradable materials in the solid and/or liquid form are based on segmented linear polyurethanes and/or segmented crosslinked polyurethanes based on A) one or more biocompatible polyols susceptible to hydrolytic and/or enzymatic degradation having a molecular weight of 100 to 20,000 dalton and a number of active hydroxyl groups per molecule (functionality) of at least two or higher; B) one or more diisocyanates and/or triisocyanates; and C) one or more low molecular weight chain extenders having a molecular weight of 18 to 1000 dalton and the functionality of at least two or higher.