TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Composition: The lubricating oil composition further comprises at least one co-additives other than additive component (b) in a minor amount, where the co-additives includes ashless dispersants, metal detergents, corrosion inhibitors, antioxidants, pour point depressants, anti wear agents, friction modifiers, demulsifiers, antifoam agents or viscosity modifiers. Preferred Components: The conjugated diene monomers comprises 1,3-butadiene and/or isoprene. The viscosity index improver comprises at least one star-shaped, at least partially hydrogenated polymer, which includes at least one arms, where the arms comprises a homopolymer derived from a single the conjugated diene monomer, a copolymer derived from two or more of the conjugated diene monomers or a copolymer derived from at least one of the conjugated diene monomers and predominantly from at least one vinyl aromatic hydrocarbon monomer. The vinyl aromatic hydrocarbon monomer comprises styrene. The arms of the star-shaped, at least partially hydrogenated polymer comprises: a copolymer derived from: isoprene monomers (70-90 mass %) and 1,3-butadiene monomers (30-10 mass %); essentially from isoprene monomers, 1,3-butadiene monomers and a vinyl aromatic hydrocarbon monomer; a homopolymer derived from isoprene monomers or 1,3-butadiene monomers; and a core derived from a polyolefinic linking agent. The copolymer of the arms includes the vinyl aromatic hydrocarbon monomer (up to 35 mass %) The arms comprises a linear diblock copolymer containing at least one diblock copolymer, which comprises at least one block derivable predominantly from a vinyl aromatic hydrocarbon monomer and at least one block derivable predominantly from the conjugated diene monomers, where the linear diblock copolymer is at least one diblock copolymer comprises:at least a polystyrene block and a block derived from isoprene and/or butadiene;or hydrogenated styrene/butadiene diblock copolymers, hydrogenated styrene/isoprene diblock copolymers and hydrogenated styrene/isoprene-butadiene diblock copolymers. The viscosity index improver comprises a linear diblock copolymer containing at least one block derivable predominantly from a vinyl aromatic hydrocarbon monomer and at least one block derivable predominantly from the conjugated diene monomers. EXAMPLE - Typical lubricating oil composition comprised of (in mass%): non-borated polyisobutylene derived dispersant (5.50); calcium sulfonate detergent (0.90); calcium phenate detergent (2): aminic antioxidant (1); zinc dihydrocarbyl dithiophosphate (1); Infineum SV261 (RTM: Isopropene-butadiene-styrene copolymer) (star polymer viscosity index improver, where the active ingredients concentrate was 5.50) (10.7); biodiesel (B50) (10); and group III base stock (comprised of saturates ( greater than or equal to 90%) and sulfur ( less than or equal to 0.03%) and had a viscosity index of greater than or equal to 120) (balance), where the oxidation induction time was 79.9 minutes.