The present invention generally relates to droplet libraries and to systems and methods for the formation of libraries of droplets. The present invention also relates to methods utilizing these droplet libraries in various biological, chemical, or diagnostic assays.

The invention generally relates to methods for quantifying an amount of enzyme molecules. Systems and methods of the invention are provided for measuring an amount of target by forming a plurality of fluid partitions, a subset of which include the target, performing an enzyme-catalyzed reaction in the subset, and detecting the number of partitions in the subset. The amount of target can be determined based on the detected number.

The present disclosure provides methods and systems for generation of compositions comprising two or more sets of molecules. Compositions herein may comprise sets of molecules of different types. Sets of molecules may be generated by attachment to supports. Different types of molecules may be used to generate a large number of unique molecules. One or more types of molecules may be used to identify one or more additional types of molecules. Compositions of the present disclosure may be used in, for example, nucleic acid sequencing.

Methods and compositions for preparing a nucleic acid sequencing library are described including (a)transposing an insertion sequence into first fragments of the target nucleic acid, wherein the insertion sequence comprises a hybridization sequence, and wherein the transposing produces nicks in the first fragments; (b) combining in a single mixture (i) the first fragments of the target nucleic acid from (a), (ii) a splint oligonucleotide, and (iii) a population of beads, wherein each bead comprises capture oligonucleotides immobilized thereon, and (c) ligating capture oligonucleotides of individual beads to inserted hybridization sequences of individual first fragments.

The invention generally relates to methods for quantifying an amount of enzyme molecules. Systems and methods of the invention are provided for measuring an amount of target by forming a plurality of fluid partitions, a subset of which include the target, performing an enzyme-catalyzed reaction in the subset, and detecting the number of partitions in the subset. The amount of target can be determined based on the detected number.

The invention generally relates to methods for quantifying an amount of enzyme molecules. Systems and methods of the invention are provided for measuring an amount of target by forming a plurality of fluid partitions, a subset of which include the target, performing enzyme-catalyzed reaction in the subset, and detecting the number of partitions in the sunset. The amount of target can be determined based on the detected number.

The invention generally relates to methods for quantifying an amount of enzyme molecules. Systems and methods of the invention are provided for measuring an amount of target by forming a plurality of fluid partitions, a subset of which include the target, performing an enzyme-catalyzed reaction in the subset, and detecting the number of partitions in the subset. The amount of target can be determined based on the detected number.

The invention generally relates to methods for quantifying an amount of enzyme molecules. Systems and methods of the invention are provided for measuring an amount of target by forming a plurality of fluid partitions, a subset of which include the target, performing an enzyme-catalyzed reaction in the subset, and detecting the number of partitions in the subset. The amount of target can be determined based on the detected number.

The invention generally relates to methods for quantifying an amount of enzyme molecules. Systems and methods of the invention are provided for measuring an amount of target by forming a plurality of fluid partitions, a subset of which include the target, performing an enzyme-catalyzed reaction in the subset, and detecting the number of partitions in the subset. The amount of target can be determined based on the detected number.

Provided herein are monoliths with attached recognition compounds which selectively bind ligands, methods of preparing such monoliths, arrays thereof and uses thereof. For example, monoliths provided herein can be used in columns and arrays thereof.