A system and method of utilizing microbubbles and liposomes as viral sequestering agents. Microbubbles and liposomes having polyanions and conjugation systems are injected into the bloodstream of a subject human or animal. The microbubbles and/or liposomes attract virus particles including envelope viruses. After the microbubbles and/or liposomes have circulated in the blood for a pre-established time period, the microbubbles and/or liposomes along with attached virus particles are separated from the blood of the subject by passing the blood over or through a substrate or using a centrifuge. The substrate includes a conjugation system which has an affinity for the polyanions of the microbubbles and/or liposomes. As the microbubbles and/or liposomes and attached virus particles are removed from the blood, the viral titer of the subject is lowered. The microbubbles and/or liposomes may also be mixed with blood and filtered outside of the subject such that the microbubbles and/or liposomes are never in the bloodstream of the subject.