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A comparison of six deconvolution techniques
We present results for the comparison of six deconvolution techniques. The methods we consider are based on Fourier transforms, system identification, constrained optimization, the use of cubicExpand
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Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences.
In this paper methods from differential algebra are used to study the structural identifiability of biological and pharmacokinetics models expressed in state-space form and with a structure given byExpand
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Exploration of the intercellular heterogeneity of topotecan uptake into human breast cancer cells through compartmental modelling.
TLDR
A mathematical multi-cell model for the in vitro kinetics of the anti-cancer agent topotecan following administration into a culture medium containing a population of human breast cancer cells (MCF-7 cell line) is described. Expand
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Identifiability of uncontrolled nonlinear rational systems
TLDR
In this paper an approach for the identifiability analysis of uncontrolled rational systems of the following form will be provided. Expand
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The transmission and control of mastitis in dairy cows: a theoretical approach.
A multi-species model that incorporates the transmission of both major and minor mastitis pathogens as well as the interaction between them via coinfection of a quarter is fitted to data from sevenExpand
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The structural identifiability of the susceptible infected recovered model with seasonal forcing.
In this paper, it is shown that the SIR epidemic model, with the force of infection subject to seasonal variation, and a proportion of either the prevalence or the incidence measured, isExpand
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The structural identifiability and parameter estimation of a multispecies model for the transmission of mastitis in dairy cows.
A structural identifiability analysis is performed on a mathematical model for the coupled transmission of two classes of pathogen. The pathogens, classified as major and minor, are aetiologicalExpand
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Structural identifiability analyses of candidate models for in vitro Pitavastatin hepatic uptake
TLDR
In this paper a review of the application of four different techniques (a version of the similarity transformation approach for autonomous uncontrolled systems, a non-differential input/output observable normal form approach, the characteristic set differential algebra and a recent algebraic input/ Output relationship approach) to determine the structural identifiability of certain in vitro nonlinear pharmacokinetic models is provided. Expand
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Substrate and stereochemical control of peptidoglycan crosslinking by transpeptidation by Escherichia coli PBP1B.
Penicillin binding proteins (PBPs) catalysing transpeptidation reactions that stabilize the peptidoglycan component of the bacterial cell wall are the targets of beta-lactams, the most clinicallyExpand
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Effect of dose, molecular size, affinity, and protein binding on tumor uptake of antibody or ligand: a biomathematical model.
A mathematical model has been developed to determine the best approach to improving tumor targeting with antibody. The amount of antibody in the tumor (tumor content) and the tumor:normal tissueExpand
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