To improve the biocompatibility of biomedical polymers, consider surface modification, using biodegradable materials, developing composite materials, incorporating nanotechnology, and designing for controlled degradation. These strategies enhance interaction with biological systems and promote better healing outcomes.

It depends on the nature of the polymer:

Some examples of biomedical polymers include:

• Polycaprolactone (PCL)A commonly used polymer for biomedical applications due to its biocompatibility and biodegradability.
• Poly(Lactide-co-Glycolide) (PLGA)A biodegradable polymer that's commonly used in biomedical devices because it can be engineered to control drug release.
• PolyanhydridesA biodegradable polymer that's used in biomedical applications like tissue scaffolds, implant coatings, and drug delivery.
• PolyglycolideA highly crystalline polymer that was one of the first biodegradable synthetic polymers investigated for biomedical applications.
• Polyhydroxyalkanoates (PHAs)Also known as bacterial polyesters, these polymers are used to fabricate biomedical products like sutures and hernia meshes.
• CollagenA preferred biopolymer for biomedical applications due to its biocompatibility, weak antigenicity, and versatility.
• Poly(propylene fumarate) (PPF)A high-strength polymeric biomaterial that can be crosslinked through the unsaturated bonds in its backbone.
• PolyestersMany polyesters have monomers produced from renewable resources and are biodegradable.

Therefore copolymerization or blends could be an option