Abstract: A system and method for providing virtual items to users of an online game operated in a virtual space. Multiple users may participate in affiliations or alliances of discrete groups of users in an online game and may access the online game through client computing platforms associated with the users. The affiliations may have affiliation game units associated with affiliations which provide a benefit to the members of the online game. Affiliation members may cumulatively obtain affiliation game units and/or upgrade affiliation game units by providing one or more virtual items. Upgrading affiliation game units may require the cooperation of multiple members of the affiliation.

Abstract: A hashing system (e.g., including a message expander) receives word data associated with a message. The hashing system identifies a plurality of message expansion computations that are configured to use the word data to generate a hash for the message. The hashing system pre-computes at least one message expansion computation of the plurality of message expansion computations using the word data to generate at least one constant. The hashing system executes a modified plurality of message expansion computations to generate the hash of the message. Executing the modified plurality of message expansion computations includes replacing the at least one message expansion computation of the plurality of message expansion computations with the at least one constant.

Abstract: Aspects of the present disclosure includes methods to quantify methylation in a DNA sample, where the method includes treating the sample to encode the presence or absence of DNA methylation, adding to the sample a set of synthetic molecules e.g., quality control template (QCT) molecules), generating a co-amplification mixture, sequencing the co-amplification mixture, determining a number of methylated molecules in the sample based on the number of methylated reads from the sample and a number of reads from the set of synthetic molecules.

Abstract: Provided herein are methods and systems for cell-free DNA extraction from liquid biological samples. The methods can be employed for determination of fetal DNA fraction and non-invasive prenatal screening of fetal aneuploidies and analyses of other types of cell-free DNA.

Abstract: Embodiments of a method and/or system for facilitating characterization of one or more conditions can include: generating a set of target-associated molecules; generating a reference-associated set of molecule; facilitating generation of at least one spike-in mixture; determining one or more abundance metrics based on an analysis of the at least one spike-in mixture; and facilitating the characterization of the one or more conditions based on the one or more abundance metrics.

Abstract: Embodiments of a method and/or system can include generating a set of target-associated molecules (e.g., spike-in molecules) associated with one or more biological targets; generating one or more spike-in mixtures based on processing the set of target-associated molecules with one or more samples including the one or more biological targets; performing one or more Sanger sequencing operations on the one or more spike-in mixtures; determining one or more abundance metrics based on chromatogram-related outputs from the one or more Sanger sequencing operations; and/or facilitating characterization of one or more medical conditions based on the one or more abundance metrics.

Abstract: Embodiments of a method and/or system for facilitating characterization of one or more conditions can include: generating a set of target-associated molecules; generating a reference-associated set of molecule; facilitating generation of at least one spike-in mixture; determining one or more abundance metrics based on an analysis of the at least one spike-in mixture; and facilitating the characterization of the one or more conditions based on the one or more abundance metrics.

Abstract: Embodiments of a method and/or system can include generating a set of quality control template (QCT) molecules; determining a set of QCT sequence read clusters based on the set of QCT molecules, such as based on variation regions of the set of QCT molecules; and based on the set of QCT sequence read clusters, determining a sequencing-related parameter, such as a contamination parameter and/or molecule count parameter, associated with the at least one of sequencing library preparation and sequencing.

Abstract: Embodiments of a method and/or system can include generating a set of quality control template (QCT) molecules; determining a set of QCT sequence read clusters based on the set of QCT molecules, such as based on variation regions of the set of QCT molecules; and based on the set of QCT sequence read clusters, determining a sequencing-related parameter, such as a contamination parameter and/or molecule count parameter, associated with the at least one of sequencing library preparation and sequencing.

Abstract: Embodiments of a method and/or system can include generating a co-amplified mixture based on co-amplifying a set of nucleic acid molecules (e.g., cell-free nucleic acids, etc.) from the biological sample, wherein the set of nucleic acid molecules includes a genomic region of interest associated with the medical condition; and a homologous native genomic region with partial sequence similarity to the genomic region of interest; sequencing the co-amplified mixture; determining an abundance metric for the genomic region of interest and an abundance metric for the homologous native genomic region; and/or facilitating the characterization of the medical condition based on the abundance metric for the genomic region of interest and the abundance metric for the homologous native genomic region.

Abstract: Provided herein are methods and systems for cell-free DNA extraction from liquid biological samples. The methods can be employed for determination of fetal DNA fraction and non-invasive prenatal screening of fetal aneuploidies and analyses of other types of cell-free DNA.

Abstract: Aspects of the present disclosure include methods of detecting the presence or absence of one or more diseases using quantitative approaches. Aspects of the present disclosure include methods for determining the abundance of endogenous targets. Aspects of the present disclosure also include determining the presence or absence of an aneuploidy.

Abstract: Embodiments of a method and/or system can include generating a set of target-associated molecules (e.g., spike-in molecules) associated with one or more biological targets; generating one or more spike-in mixtures based on processing the set of target-associated molecules with one or more samples including the one or more biological targets; performing one or more Sanger sequencing operations on the one or more spike-in mixtures; determining one or more abundance metrics based on chromatogram-related outputs from the one or more Sanger sequencing operations; and/or facilitating characterization of one or more medical conditions based on the one or more abundance metrics.

Abstract: Aspects of the present disclosure include methods of detecting the presence or absence of one or more infectious diseases using quantitative approaches. In some aspects, the methods of the present disclosure include generating a spike-in mixture including target sample molecules (e.g., endogenous sample) and artificial molecules (e.g., spike in molecule, synthetic target-associated molecule), amplifying the spike in mixture to generate a co-amplified spike in mixture, and performing capillary electrophoresis to detect the presence or absence of one or more infectious diseases.

Abstract: Embodiments of a method for accurate determination of biological target abundance can include generating a first set of molecules associated with a target sequence, where the first set of molecules includes a first set of dilution tags associated with a relative concentration profile; generating a second set of molecules including a second set of dilution tags associated with the first set of dilution tags; generating a dilution tagged mixture; amplifying the subsets of dilution tagged genetic targets using the second set of molecules; generating a modified dilution tagged mixture from the amplified subsets; determining, for the biological sample, a count of the distinct molecules including the target sequence; and/or determining, for the biological sample, an assessment of relative concentrations distinct species, such as over a vast dynamic range.

Abstract: Embodiments of a method and/or system can include generating a set of quality control template (QCT) molecules; determining a set of QCT sequence read clusters based on the set of QCT molecules, such as based on variation regions of the set of QCT molecules; and based on the set of QCT sequence read clusters, determining a sequencing-related parameter, such as a contamination parameter and/or molecule count parameter, associated with the at least one of sequencing library preparation and sequencing.

Abstract: Embodiments of a method and/or system can include generating a co-amplified mixture based on co-amplifying a set of nucleic acid molecules (e.g., cell-free nucleic acids, etc.) from the biological sample, wherein the set of nucleic acid molecules includes a genomic region of interest associated with the medical condition; and a homologous native genomic region with partial sequence similarity to the genomic region of interest; sequencing the co-amplified mixture; determining an abundance metric for the genomic region of interest and an abundance metric for the homologous native genomic region; and/or facilitating the characterization of the medical condition based on the abundance metric for the genomic region of interest and the abundance metric for the homologous native genomic region.

Abstract: Provided herein are methods and systems for cell-free DNA extraction from liquid biological samples. The methods can be employed for determination of fetal DNA fraction and non-invasive prenatal screening of fetal aneuploidies and analyses of other types of cell-free DNA.

Abstract: Embodiments of a method and/or system for facilitating characterization of one or more conditions can include: generating a set of target-associated molecules; generating a reference-associated set of molecule; facilitating generation of at least one spike-in mixture; determining one or more abundance metrics based on an analysis of the at least one spike-in mixture; and facilitating the characterization of the one or more conditions based on the one or more abundance metrics.

Abstract: Embodiments of a method and/or system can include generating a set of target-associated molecules (e.g., spike-in molecules) associated with one or more biological targets; generating one or more spike-in mixtures based on processing the set of target-associated molecules with one or more samples including the one or more biological targets; performing one or more Sanger sequencing operations on the one or more spike-in mixtures; determining one or more abundance metrics based on chromatogram-related outputs from the one or more Sanger sequencing operations; and/or facilitating characterization of one or more medical conditions based on the one or more abundance metrics.