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Modelling of the activation of G-protein coupled receptors: Drug free constitutive receptor activity (2010)
Journal Article
Woodroffe, P. J., Bridge, L., King, J. R., Chen, C. Y., & Hill, S. J. (2010). Modelling of the activation of G-protein coupled receptors: Drug free constitutive receptor activity. Journal of Mathematical Biology, 60(3), 313-346. https://doi.org/10.1007/s00285-009-0268-5

G-protein coupled receptors (GPCRs) form a crucial component of approximately 80% of hormone pathways. In this paper, the most popular mechanism for activation of GPCRs-the shuttling mechanism-is modelled mathematically. An asymptotic analysis of thi... Read More about Modelling of the activation of G-protein coupled receptors: Drug free constitutive receptor activity.

Mathematical modelling of signalling in a two-ligand G-protein coupled receptor system: Agonist-antagonist competition (2010)
Journal Article
Bridge, L., King, J. R., Hill, S. J., & Owen, M. R. (2010). Mathematical modelling of signalling in a two-ligand G-protein coupled receptor system: Agonist-antagonist competition. Mathematical Biosciences, 223(2), 115-132. https://doi.org/10.1016/j.mbs.2009.11.005

A new mathematical model of cell signalling for a two-ligand G-protein coupled receptor (GPCR) system is presented. This model extends the single-ligand cubic ternary complex to account for the possibility of an agonist and an antagonist competing fo... Read More about Mathematical modelling of signalling in a two-ligand G-protein coupled receptor system: Agonist-antagonist competition.

Modeling and simulation of inverse agonism dynamics (2010)
Book Chapter
Bridge, L. (2010). Modeling and simulation of inverse agonism dynamics. In Constitutive Activity in Receptors and Other Proteins, Part B (559-582). Elsevier. https://doi.org/10.1016/B978-0-12-381296-4.00029-4

With the recent discovery and increased recognition of constitutive activity of G-protein coupled receptors (GPCRs) and inverse agonists have come a number of important questions. The signaling mechanisms underlying inverse agonist effects on constit... Read More about Modeling and simulation of inverse agonism dynamics.

Modelling the activation of G-protein coupled receptors by a single drug (2009)
Journal Article
Woodroffe, P. J., Bridge, L., King, J. R., & Hill, S. J. (2009). Modelling the activation of G-protein coupled receptors by a single drug. Mathematical Biosciences, 219(1), 32-55. https://doi.org/10.1016/j.mbs.2009.02.003

In this paper, the most popular proposed mechanism for activation of G-protein coupled receptors (GPCRs) - the shuttling mechanism - is modelled mathematically. An asymptotic analysis of this model clarifies the dynamics of the system in the presence... Read More about Modelling the activation of G-protein coupled receptors by a single drug.

A mixture formulation for numerical capturing of a two-phase/vapour interface in a porous medium (2007)
Journal Article
Bridge, L., & Wetton, B. R. (2007). A mixture formulation for numerical capturing of a two-phase/vapour interface in a porous medium. Journal of Computational Physics, 225(2), 2043-2068. https://doi.org/10.1016/j.jcp.2007.03.011

A model problem for two-phase fluid flow and heat transfer with phase change in a porous medium is described. The model is based on a steam-water mixture in sand. Under certain conditions, a two-phase zone, in which liquid and vapour coexist, is sepa... Read More about A mixture formulation for numerical capturing of a two-phase/vapour interface in a porous medium.

The analysis of a two-phase zone with condensation in a porous medium (2003)
Journal Article
Bridge, L., Bradean, R., Ward, M. J., & Wetton, B. R. (2003). The analysis of a two-phase zone with condensation in a porous medium. Journal of Engineering Mathematics, 45(3-4), 247-268. https://doi.org/10.1023/A%3A1022690802938

The one-dimensional steady-state heat and mass transfer in a two-phase zone of a water-saturated porous medium is studied. The system consists of a sand-water-vapour mixture in a tube that is heated from above and cooled from below. Under certain con... Read More about The analysis of a two-phase zone with condensation in a porous medium.