Discrete and continuous mathematical models of sharp-fronted collective cell migration and invasion.

Mathematical models describing the spatial spreading and invasion of populations of biological cells are often developed in a continuum modelling framework using reaction-diffusion equations. While continuum models based on linear diffusion are routinely employed and known to capture key experimental observations, linear diffusion fails to predict well-defined sharp fronts that are often observed experimentally. This observation has motivated the use of nonlinear degenerate diffusion; however, these nonlinear models and the associated parameters lack a clear biological motivation and interpretation. Here, we take a different approach by developing a stochastic discrete lattice-based model incorporating biologically inspired mechanisms and then deriving the reaction-diffusion continuum limit. Inspired by experimental observations, agents in the simulation deposit extracellular material, which we call a substrate, locally onto the lattice, and the motility of agents is taken to be proportional to the substrate density. Discrete simulations that mimic a two-dimensional circular barrier assay illustrate how the discrete model supports both smooth and sharp-fronted density profiles depending on the rate of substrate deposition. Coarse-graining the discrete model leads to a novel partial differential equation (PDE) model whose solution accurately approximates averaged data from the discrete model. The new discrete model and PDE approximation provide a simple, biologically motivated framework for modelling the spreading, growth and invasion of cell populations with well-defined sharp fronts. Open-source Julia code to replicate all results in this work is available on GitHub.

Characterization and Sequence Mapping of Large RNA and mRNA Therapeutics Using Mass Spectrometry.

Large RNA including mRNA (mRNA) has emerged as an important new class of therapeutics. Recently, this has been demonstrated by two highly efficacious vaccines based on mRNA sequences encoding for a modified version of the SARS-CoV-2 spike protein. There is currently significant demand for the development of new and improved analytical methods for the characterization of large RNA including mRNA therapeutics. In this study, we have developed an automated, high-throughput workflow for the rapid characterization and direct sequence mapping of large RNA and mRNA therapeutics. Partial RNase digestions using RNase T1 immobilized on magnetic particles were performed in conjunction with high-resolution liquid chromatography-mass spectrometry analysis. Sequence mapping was performed using automated oligoribonucleotide annotation and identifications based on MS/MS spectra. Using this approach, a >80% sequence of coverage of a range of large RNAs and mRNA therapeutics including the SARS-CoV-2 spike protein was obtained in a single analysis. The analytical workflow, including automated sample preparation, can be completed within 90 min. The ability to rapidly identify, characterize, and sequence map large mRNA therapeutics with high sequence coverage provides important information for identity testing, sequence validation, and impurity analysis.

Sensitive, High-Throughput, and Robust Trapping-Micro-LC-MS Strategy for the Quantification of Biomarkers and Antibody Biotherapeutics.

For LC-MS-based targeted quantification of biotherapeutics and biomarkers in clinical and pharmaceutical environments, high sensitivity, high throughput, and excellent robustness are all essential but remain challenging. For example, though nano-LC-MS has been employed to enhance analytical sensitivity, it falls short because of its low loading capacity, poor throughput, and low operational robustness. Furthermore, high chemical noise in protein bioanalysis typically limits the sensitivity. Here we describe a novel trapping-micro-LC-MS (T-µLC-MS) strategy for targeted protein bioanalysis, which achieves high sensitivity with exceptional robustness and high throughput. A rapid, high-capacity trapping of biological samples is followed by µLC-MS analysis; dynamic sample trapping and cleanup are performed using pH, column chemistry, and fluid mechanics separate from the µLC-MS analysis, enabling orthogonality, which contributes to the reduction of chemical noise and thus results in improved sensitivity. Typically, the selective-trapping and -delivery approach strategically removes >85% of the matrix peptides and detrimental components, markedly enhancing sensitivity, throughput, and operational robustness, and narrow-window-isolation selected-reaction monitoring further improves the signal-to-noise ratio. In addition, unique LC-hardware setups and flow approaches eliminate gradient shock and achieve effective peak compression, enabling highly sensitive analyses of plasma or tissue samples without band broadening. In this study, the quantification of 10 biotherapeutics and biomarkers in plasma and tissues was employed for method development. As observed, a significant sensitivity gain (up to 25-fold) compared with that of conventional LC-MS was achieved, although the average run time was only 8 min/sample. No appreciable peak deterioration or loss of sensitivity was observed after >1500 injections of tissue and plasma samples. The developed method enabled, for the first time, ultrasensitive LC-MS quantification of low levels of a monoclonal antibody and antigen in a tumor and cardiac troponin I in plasma after brief cardiac ischemia. This strategy is valuable when highly sensitive protein quantification in large sample sets is required, as is often the case in typical biomarker validation and pharmaceutical investigations of antibody therapeutics.

A high-speed liquid chromatography/tandem mass spectrometry platform using multiplexed multiple-injection chromatography controlled by single software and its application in discovery ADME screening.

RATIONALE: Multiplexed liquid chromatography (LC) coupled with multiple-injection-chromatogram acquisition has emerged as the method of choice for high-speed discovery bioanalysis, because it significantly reduces injection-to-injection cycle time while maintaining the chromatography quality. Historically, systems utilizing this approach had been custom built, and therefore relied on custom software tools to communicate with multiple vendor software for system control, which lacked transferability, flexibility and robustness. METHODS: In this study, we refined a multiplexed bioanalytical system previously reported, by implementing open-deck auto-sampler manifold and multiple-injection-chromatogram acquisition, all on a commercially available system with single software control. RESULTS: As a result of these improvements, the developed LC/tandem mass spectrometry (MS/MS) method on the system was nearly three times faster than the previous method, while demonstrating comparable analytical accuracy, precision and robustness. This system has been evaluated for in vitro ADME screening assays including metabolic stability, CYP inhibition and Caco-2. The biological data generated on the developed system displayed good correlation with those from the previous LC/MS/MS approaches. CONCLUSIONS: The developed platform demonstrated applicability to the in vitro screening assays evaluated and has been successfully implemented to support the high-throughput metabolic stability assay, with a significantly improved bioanalytical throughput, capacity and data turnaround.

Determination of paracetamol in mouse, rat and dog plasma samples by laser diode thermal desorption--APCI-MS/MS.

BACKGROUND: Laser diode thermal desorption (LDTD) is a relatively new sample introduction interface for MS. Analysis times are short as the technique does not require time-consuming separation steps, such as conventional HPLC, thus saving on the use of organic solvents, modifiers and cost, relating to their subsequent disposal. This paper compares the merits of LDTD-APCI-MS/MS and LC-MS/MS for the analysis of paracetamol (acetaminophen) in plasma from different species. RESULTS: LDTD-APCI-MS/MS compared favorably with our existing high-throughput generic LC-MS/MS method giving improved data quality. LDTD-APCI-MS/MS assay performance in terms of accuracy and precision in mouse, rat and dog plasma were within our local acceptance criteria (±30%). Run times were reduced approximately tenfold, while saving approximately 200 ml of solvent per 96-well plate. CONCLUSION: A rapid, sensitive and robust assay is reported. The method was successfully used for the analysis of spiked mouse, rat and dog plasma samples and the determination of oral pharmacokinetics. Reductions in electrical power and reagent consumption position LDTD as an environmentally 'green' bioanalytical method.

High-throughput quantitation of large molecules using multiplexed chromatography and high-resolution/accurate mass LC-MS.

BACKGROUND: High-throughput screening with LC-MS has been routinely implemented to various degrees throughout the entire drug-discovery process. One of the major advantages of utilizing LC-MS earlier at the lead discovery stage is reducing the cost of sample analysis while increasing assay selectivity. Avoiding labeling agents and other non-native species in an assay environment can reduce costly sample preparation, while chromatographic separation of the analyte of interest from interferences in the sample matrix has been shown to increase selectivity and sensitivity. METHOD: In this paper, we utilize high-resolution MS-LC multiplexing to analyze phosphorylated peptides as part of a screening assay. Commonly used enzyme buffers were used to prepare phosphorylated peptide standards of varying concentrations and these were plated into a 96-well plate format for LC-MS analysis. The overall cycle time for analysis from sample to sample, LLOQ, Z' and coefficient of variance were determined. CONCLUSION: High-resolution MS coupled with LC multiplexing provides high-quality sample analysis at sampling rates of up to 18 s per sample. Samples analyzed in both simple and complex sample matrixes demonstrated an LOQ of 5 nM with linear response across the working range of the assay. Overall statistical analysis of the large samples produced Z' = 0.85 for sample sets in sodium citrate solution and Z' = 0.66 for sample sets in HEPES solution indicating a robust analytical method.