A process for substantially reducing levels of circulating chromatin fragments (CCFs) from a medium using binding agents such as antibodies or antibodies complexed with haemocompatible natural polymer substrates like as alginates, chitosan and pullulan to form complexed antibody-substrate nano-particulates (CNP) to bind and / or inactivate CCFs is disclosed. The amount of antibody bound to the polymer varies from 30% to 100% of activated sites in the polymer. Elevated levels of CCFs can be substantially reduced following administration of tissue damaging agents that generate apoptotic chromatin fragments by the concomitant administration of CNPs or concomitant administration of H4 antibody alone. A method of treatment is disclosed wherein therapeutic dose of CNPs, or H4 antibody alone, are administered systematically, or orally, in a delivery system to curb pathological conditions that are associated with increased burden of circulating chromatin fragments.