Ana Mariya Anhel, Lorea Alejaldre, Manuel Gimenez
et al.
This protocol is meant to create a PCR mastermix with 1 or more primer sets, distribute it in 1 or more 96-well plates, inoculate from 1 or more 96-well plates containing the template and run the reaction in an OT-2 thermocycler (if available). This protocol is run by using a LAP format script and its corresponding .xlsx file were different customizable variables such as volumes of transfer, type of plates, number of primers per set, and availability of OT-2 thermocycler are indicated. Specifically, this protocol provides a set of instructions or description of the LAP repository entry LAP-PCR-OT2-2.0.0. You can find the script and complementary information for this specific version of the protocol in the LAP entry link and GitHub link to LAP entry documents In our laboratory, this protocol has been used as part of the "High-throughput workflow for the genotypic characterization of transposon insertion library variants" also available in protocols.io to prepare arbitrary and spurious PCR samples. The current version incorporates the following modifications: Description of robot and protocol setup in a separate protocols.io entry (Setting and Customizing OT-2 for LAP Entries) When transferring the polymerase and primers, change tip every time it aspirates from source tubes Wells with controls can be anywhere in the plate New variable in Sheet 'ModuleVariables' called 'Max Volume Per Mix Tube In Shaker'
We prove that the HOMFLYPT polynomial of a link, colored by partitions with a xed number of rows is a q-holonomic function. Specializing to the case of knots colored by a partition with a single row, it proves the existence of an (a;q) super-polynomial of knots in 3-space, as was conjectured by string theorists. Our proof uses skew Howe duality that reduces the evaluation of web diagrams and their ladders to a Poincare-Birkho- Witt computation of an auxiliary quantum group of rank the number of strings of the ladder diagram.
The design of high quality factor (Q) optical cavities in two dimensional photonic crystal (PC) slab waveguides based upon a momentum space picture is presented. The results of a symmetry analysis of defect modes in hexagonal and square host photonic lattices are used to determine cavity geometries that produce modes which by their very symmetry reduce the vertical radiation loss from the PC slab. Further improvements in the Q are achieved through tailoring of the defect geometry in Fourier space to limit coupling between the dominant momentum components of a given defect mode and those momentum components which are either not reflected by the PC mirror or which lie within the radiation cone of the cladding surrounding the PC slab. Numerical investigations using the finite-difference time-domain (FDTD) method predict that radiation losses can be significantly suppressed through these methods, culminating with a graded square lattice design whose total Q approaches 10;5 with a mode volume of approximately 0.25 cubic half-wavelengths in vacuum.
Abstract Maxwell's first derivation of the equilibrium distribution function for a dilute gas is generalized in the spirit of the nonextensive q-statistics proposed by Tsallis. As an application, the q-Doppler broadening of spectral lines due to the random thermal motion of the radiating atoms is derived.