Abstract: The invention generally relates to droplet based digital PCR and methods for analyzing a target nucleic acid using the same. In certain embodiments, methods of the invention involve forming sample droplets containing, on average, a single target nucleic acid, amplifying the target in the droplets, excluding droplets containing amplicon from the target and amplicon from a variant of the target, and analyzing target amplicons.

Abstract: The invention generally relates to droplet based digital PCR and methods for analyzing a target nucleic acid using the same. In certain embodiments, methods of the invention involve forming sample droplets containing, on average, a single target nucleic acid, amplifying the target in the droplets, excluding droplets containing amplicon from the target and amplicon from a variant of the target, and analyzing target amplicons.

Abstract: The invention provides methods for assessing one or more predetermined characteristics or properties of a microfluidic droplet within a microfluidic channel, and regulating one or more fluid flow rates within that channel to selectively alter the predetermined microdroplet characteristic or property using a feedback control.

Abstract: A cracking furnace for cracking a hydrocarbon feed, the furnace including a firebox having a single radiant zone including, a first plurality of cracking coils each having a first shape arranged within the firebox. The radiant zone includes a second plurality of cracking coils each having a second shape arranged within the radiant zone. A burner section positioned below the first plurality cracking coils and below the second plurality of cracking coils. A convection section is positioned on top of the firebox configured to recover residual heat from the firebox.

Abstract: The invention generally relates to droplet based digital PCR and methods for analyzing a target nucleic acid using the same. In certain embodiments, methods of the invention involve forming sample droplets containing, on average, a single target nucleic acid, amplifying the target in the droplets, excluding droplets containing amplicon from the target and amplicon from a variant of the target, and analyzing target amplicons.

Abstract: The invention generally relates to droplet based digital PCR and methods for analyzing a target nucleic acid using the same. In certain embodiments, methods of the invention involve forming sample droplets containing, on average, a single target nucleic acid, amplifying the target in the droplets, excluding droplets containing amplicon from the target and amplicon from a variant of the target, and analyzing target amplicons.

Abstract: The invention generally relates to droplet based digital PCR and methods for analyzing a target nucleic acid using the same. In certain embodiments, methods of the invention involve forming sample droplets containing, on average, a single target nucleic acid, amplifying the target in the droplets, excluding droplets containing amplicon from the target and amplicon from a variant of the target, and analyzing target amplicons.

Abstract: The invention generally relates to droplet based digital PCR and methods for analyzing a target nucleic acid using the same. In certain embodiments, methods of the invention involve forming sample droplets containing, on average, a single target nucleic acid, amplifying the target in the droplets, excluding droplets containing amplicon from the target and amplicon from a variant of the target, and analyzing target amplicons.

Abstract: The invention generally relates to droplet based digital PCR and methods for analyzing a target nucleic acid using the same. In certain embodiments, methods of the invention involve forming sample droplets containing, on average, a single target nucleic acid, amplifying the target in the droplets, excluding droplets containing amplicon from the target and amplicon from a variant of the target, and analyzing target amplicons.

Abstract: A steady-state microwave conductivity method whereby a light beam is modulated to form an amplitude modulated light having a modulation frequency ?1. The method further includes producing a microwave waveform, exposing a sample to the amplitude modulated light and a first portion of the microwave waveform to produce an amplitude modulation signal on the first portion of the microwave waveform, and mixing a second portion of the microwave waveform and the amplitude modulation signal to produce a first signal and a second signal.

Abstract: The invention generally relates to droplet based digital PCR and methods for analyzing a target nucleic acid using the same. In certain embodiments, methods of the invention involve forming sample droplets containing, on average, a single target nucleic acid, amplifying the target in the droplets, excluding droplets containing amplicon from the target and amplicon from a variant of the target, and analyzing target amplicons.

Abstract: The present disclosure relates to a steady-state microwave conductivity method that includes modulating a light beam to form an amplitude modulated light having a modulation frequency ?1, producing a microwave waveform, exposing a sample to the amplitude modulated light and a first portion of the microwave waveform to produce an amplitude modulation signal on the first portion of the microwave waveform, and mixing a second portion of the microwave waveform and the amplitude modulation signal to produce a first signal and a second signal.

Abstract: The present disclosure relates to a steady-state microwave conductivity method that includes modulating a light beam to form an amplitude modulated light having a modulation frequency ?1, producing a microwave waveform, exposing a sample to the amplitude modulated light and a first portion of the microwave waveform to produce an amplitude modulation signal on the first portion of the microwave waveform, and mixing a second portion of the microwave waveform and the amplitude modulation signal to produce a first signal and a second signal.

Abstract: The invention generally relates to droplet based digital PCR and methods for analyzing a target nucleic acid using the same. In certain embodiments, methods of the invention involve forming sample droplets containing, on average, a single target nucleic acid, amplifying the target in the droplets, excluding droplets containing amplicon from the target and amplicon from a variant of the target, and analyzing target amplicons.

Abstract: The invention provides methods for assessing one or more predetermined characteristics or properties of a microfluidic droplet within a microfluidic channel, and regulating one or more fluid flow rates within that channel to selectively alter the predetermined microdroplet characteristic or property using a feedback control.

Abstract: A cracking furnace for cracking a hydrocarbon feed, the furnace including a firebox having a single radiant zone including, a first plurality of cracking coils each having a first shape arranged within the firebox. The radiant zone includes a second plurality of cracking coils each having a second shape arranged within the radiant zone. A burner section positioned below the first plurality cracking coils and below the second plurality of cracking coils. A convection section is positioned on top of the firebox configured to recover residual heat from the firebox.

Abstract: The invention provides methods for assessing one or more predetermined characteristics or properties of a microfluidic droplet within a microfluidic channel, and regulating one or more fluid flow rates within that channel to selectively alter the predetermined microdroplet characteristic or property using a feedback control.

Abstract: The invention generally relates to droplet based digital PCR and methods for analyzing a target nucleic acid using the same. In certain embodiments, methods of the invention involve forming sample droplets containing, on average, a single target nucleic acid, amplifying the target in the droplets, excluding droplets containing amplicon from the target and amplicon from a variant of the target, and analyzing target amplicons.

Abstract: The invention generally relates to methods for forming mixed droplets. In certain embodiments, methods of the invention involve forming a droplet, and contacting the droplet with a fluid stream, wherein a portion of the fluid stream integrates with the droplet to form a mixed droplet.

Abstract: The present disclosure relates to a steady-state microwave conductivity method that includes modulating a light beam to form an amplitude modulated light having a modulation frequency ?1, producing a microwave waveform, exposing a sample to the amplitude modulated light and a first portion of the microwave waveform to produce an amplitude modulation signal on the first portion of the microwave waveform, and mixing a second portion of the microwave waveform and the amplitude modulation signal to produce a first signal and a second signal.