Abstract: The present disclosure provides methods of amplifying and sequencing DNA, comprising: extracting cell-free DNA from a blood, plasma, serum or urine sample of a transplant recipient who has received transplantation of one or more organs including simultaneous or sequential transplantation of multiple organs, wherein the extracted cell-free DNA comprises donor-derived cell-free DNA and recipient-derived cell-free DNA; performing targeted amplification at 200-50,000 target loci in a single reaction volume using 200-50,000 primer pairs, wherein the target loci comprise polymorphic loci and non-polymorphic loci; sequencing the amplification products by high-throughput sequencing to obtain a sequencing reads and quantifying the amount of donor-derived cell-free DNA and the amount of total cell-free DNA based on the sequencing reads; and determining whether the amount of donor-derived cell-free DNA or a function thereof exceeds a cutoff threshold indicating transplant rejection or graft injury.

Abstract: The present disclosure provides methods of amplifying and sequencing DNA, comprising: extracting cell-free DNA from a blood, plasma, serum or urine sample of a transplant recipient who has received transplantation of one or more organs including simultaneous or sequential transplantation of multiple organs, wherein the extracted cell-free DNA comprises donor-derived cell-free DNA and recipient-derived cell-free DNA; performing targeted amplification at 200-50,000 target loci in a single reaction volume using 200-50,000 primer pairs, wherein the target loci comprise polymorphic loci and non-polymorphic loci; sequencing the amplification products by high-throughput sequencing to obtain a sequencing reads and quantifying the amount of donor-derived cell-free DNA and the amount of total cell-free DNA based on the sequencing reads; and determining whether the amount of donor-derived cell-free DNA or a function thereof exceeds a cutoff threshold indicating transplant rejection or graft injury.

Abstract: The present disclosure provides methods for quantifying the amount of total cell-free DNA in a biological sample, comprising: isolating cell-free DNA from the biological sample, wherein a first Tracer DNA composition is added before or after isolation of the cell-free DNA; performing targeted amplification at 100 or more different target loci in a single reaction volume using 100 or more different primer pairs; sequencing the amplification products by high-throughput sequencing to generate sequencing reads; and quantifying the amount of total cell-free DNA using sequencing reads derived from the first Tracer DNA composition.

Abstract: The present invention is related to systems and methods for data storage compression. As an example, a system is discussed that includes a semiconductor device having a host interface, a compression circuit operable to compress a write data set received via the host interface, and a write channel circuit operable to apply an encoding algorithm to the compressed data set to yield an encoded data set.

Abstract: A data encoder includes an encoding logic circuit configured to encode input data to apply run length limiting using state splitting of a code trellis, and a lookup table configured to apply a block-enumerable map on an un-split version of the code trellis, wherein entries in the lookup table are compressed.

Abstract: Systems and methods are provided for encoding and transmitting codewords. A message is encoded in two encoders. For at least one of the two encoders, the message is algebraically modified prior to being encoded. In a specific example, the message is algebraically modified prior to being encoded in each of two traditionally non-systematic encoders, with the result that the output is equivalent to that of a turbo encoder.

Abstract: The present invention is related to systems and methods for data storage compression.