Methods for processing polynucleotide-containing biological samples, and materials for capturing polynucleotide molecules such as RNA and/or DNA from such samples are provided. The RNA and/or DNA is captured by polyamindoamine (PAMAM (Generation 0)) bound to a surface, such as the surface of magnetic particles. The methods and materials have high efficiency of binding RNA and of DNA, and of release, and thereby permit quantitative determinations. The binding particles can be coated with PAMAM (Generation 0) dendrimer which is amide-bonded to the binding particles, wherein at least a portion of the nucleic acids in the biological sample become reversibly bonded to the binding particles.