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Exact solutions and equi-dosing regimen regions for multi-dose pharmacokinetics models with transit compartments (2020)
Journal Article
Hof, F., & Bridge, L. J. (in press). Exact solutions and equi-dosing regimen regions for multi-dose pharmacokinetics models with transit compartments. Journal of Pharmacokinetics and Pharmacodynamics, https://doi.org/10.1007/s10928-020-09719-8

Compartmental models which yield linear ordinary differential equations (ODEs) provide common tools for pharmacokinetics (PK) analysis, with exact solutions for drug levels or concentrations readily obtainable for low-dimensional compartment models.... Read More about Exact solutions and equi-dosing regimen regions for multi-dose pharmacokinetics models with transit compartments.

A blow-up dichotomy for semilinear fractional heat equations (2020)
Journal Article
Laister, R., & Sierżęga, M. (in press). A blow-up dichotomy for semilinear fractional heat equations. Mathematische Annalen, https://doi.org/10.1007/s00208-020-02078-2

We derive a blow-up dichotomy for positive solutions of fractional semilinear heat equations on the whole space. That is, within a certain class of convex source terms, we establish a necessary and sufficient condition on the source for all positive... Read More about A blow-up dichotomy for semilinear fractional heat equations.

Analyzing kinetic signaling data for G-protein-coupled receptors (2020)
Journal Article
Hoare, S. R. J., Tewson, P. H., Quinn, A. M., Hughes, T. E., & Bridge, L. J. (2020). Analyzing kinetic signaling data for G-protein-coupled receptors. Scientific Reports, 10, https://doi.org/10.1038/s41598-020-67844-3

In classical pharmacology, bioassay data are fit to general equations (e.g. the dose response equation) to determine empirical drug parameters (e.g. EC50 and Emax), which are then used to calculate chemical parameters such as affinity and efficacy. H... Read More about Analyzing kinetic signaling data for G-protein-coupled receptors.

Security properties of light clients on the ethereum blockchain (2020)
Journal Article
Paavolainen, S., & Carr, C. (2020). Security properties of light clients on the ethereum blockchain. IEEE Access, 8, 124339-124358. https://doi.org/10.1109/access.2020.3006113

Ethereum is a decentralized blockchain, known as being the second most popular public blockchain after Bitcoin. Since Ethereum is decentralised the canonical state is determined by the Ethereum network participants via a consensus mechanism without a... Read More about Security properties of light clients on the ethereum blockchain.

Well-posedness of semilinear heat equations in L1 (2019)
Journal Article
Laister, R., & Sierżęga, M. (2020). Well-posedness of semilinear heat equations in L1. Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 37(3), 709-725. https://doi.org/10.1016/j.anihpc.2019.12.001

The problem of obtaining necessary and sufficient conditions for local existence of non-negative solutions in Lebesgue spaces for semilinear heat equations having monotonically increasing source term f has only recently been resolved (Laister et al.... Read More about Well-posedness of semilinear heat equations in L1.

User-focused threat identification for anonymised microdata (2019)
Journal Article
Ritchie, F., Hafner, H., & Lenz, R. (2019). User-focused threat identification for anonymised microdata. Statistical Journal of the IAOS, 35(4), 703-713. https://doi.org/10.3233/SJI-190506

© 2019 - IOS Press and the authors. When producing anonymised microdata for research, national statistics institutes (NSIs) identify a number of 'risk scenarios' of how intruders might seek to attack a confidential dataset. This approach has been cri... Read More about User-focused threat identification for anonymised microdata.