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The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling (2011)
Journal Article
O'Dea, R. D., & King, J. R. (2013). The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling. Mathematical Medicine and Biology, 30(2), https://doi.org/10.1093/imammb/dqr028

Juxtacrine signalling mechanisms are known to be crucial in tissue and organ development, leading to spatial patterns in gene expression. We investigate the patterning behaviour of a discrete model of juxtacrine cell signalling due to Owen \& Sherrat... Read More about The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling.

On symmetries of crystals with defects related to a class of solvable groups (S1) (2011)
Journal Article
Nicks, R., & Parry, G. P. (2012). On symmetries of crystals with defects related to a class of solvable groups (S1). Mathematics and Mechanics of Solids, 17(6), 631-651. https://doi.org/10.1177/1081286511427485

We consider distributions of dislocations in continuum models of crystals which are such that the corresponding dislocation density tensor relates to a particular class of solvable Lie group, and discrete structures which are embedded in these crysta... Read More about On symmetries of crystals with defects related to a class of solvable groups (S1).

Fluctuations in the open time of synaptic channels: an application to noise analysis based on charge (2011)
Journal Article
Feldwisch-Drentrup, H., Barrett, A. B., Smith, M. T., & van Rossum, M. C. (2012). Fluctuations in the open time of synaptic channels: an application to noise analysis based on charge. Journal of Neuroscience Methods, 210(1), https://doi.org/10.1016/j.jneumeth.2011.11.004

Synaptic channels are stochastic devices. Even recording from large ensembles of channels, the fluctuations, described by Markov transition matrices, can be used to extract single channel properties. Here we study fluctuations in the open time of cha... Read More about Fluctuations in the open time of synaptic channels: an application to noise analysis based on charge.

Dendritic spine dynamics regulate the long-term stability of synaptic plasticity (2011)
Journal Article
O'Donnell, C., Nolan, M. F., & van Rossum, M. C. (2011). Dendritic spine dynamics regulate the long-term stability of synaptic plasticity. Journal of Neuroscience, 31(45), https://doi.org/10.1523/JNEUROSCI.2520-11.2011

Long-term synaptic plasticity requires postsynaptic influx of Ca²⁺ and is accompanied by changes in dendritic spine size. Unless Ca²⁺ influx mechanisms and spine volume scale proportionally, changes in spine size will modify spine Ca²⁺ concentrations... Read More about Dendritic spine dynamics regulate the long-term stability of synaptic plasticity.

Distinguishing possible mechanisms for auxin-mediated developmental control in Arabidopsis: Models with two Aux/IAA and ARF proteins, and two target gene-sets (2011)
Journal Article
Bridge, L. J., Mirams, G. R., Kieffer, M. L., King, J. R., & Kepinski, S. (2012). Distinguishing possible mechanisms for auxin-mediated developmental control in Arabidopsis: Models with two Aux/IAA and ARF proteins, and two target gene-sets. Mathematical Biosciences, 235(1), 32-44. https://doi.org/10.1016/j.mbs.2011.10.005

New models of gene transcriptional responses to auxin signalling in Arabidopsis are presented. This work extends a previous model of auxin signalling to include networks of gene-sets which may control developmental responses along auxin gradients. Ke... Read More about Distinguishing possible mechanisms for auxin-mediated developmental control in Arabidopsis: Models with two Aux/IAA and ARF proteins, and two target gene-sets.

Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes (2011)
Thesis
Schenkel, A. Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes. (Thesis). Retrieved from https://nottingham-repository.worktribe.com/output/2460579

The focus of this PhD thesis is on applications, new developments and extensions of the noncommutative gravity theory proposed by Julius Wess and his group.
In part one we propose an extension of the usual symmetry reduction procedure to noncommut... Read More about Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes.

Fundamental properties of Ca²⁺ signals (2011)
Journal Article
Thurley, K., Skupin, A., Thul, R., & Falcke, M. (2011). Fundamental properties of Ca²⁺ signals. BBA - General Subjects, 1820(8), https://doi.org/10.1016/j.bbagen.2011.10.007

Background
Ca²⁺ is a ubiquitous and versatile second messenger that transmits information through changes of the cytosolic Ca²⁺ concentration. Recent investigations changed basic ideas on the dynamic character of Ca²⁺ signals and challenge tradition... Read More about Fundamental properties of Ca²⁺ signals.

A local sensitivity analysis method for developing biological models with identifiable parameters: Application to cardiac ionic channel modelling (2011)
Journal Article
Sher, A. A., Wang, K., Wathen, A., Maybank, P. J., Mirams, G. R., Abramson, D., …Gavaghan, D. J. (2013). A local sensitivity analysis method for developing biological models with identifiable parameters: Application to cardiac ionic channel modelling. Future Generation Computer Systems, 29(2), 591-598. https://doi.org/10.1016/j.future.2011.09.006

Computational cardiac models provide important insights into the underlying mechanisms of heart function. Parameter estimation in these models is an ongoing challenge with many existing models being overparameterised. Sensitivity analysis presents a... Read More about A local sensitivity analysis method for developing biological models with identifiable parameters: Application to cardiac ionic channel modelling.

Adaptivity and a Posteriori Error Control for Bifurcation Problems III: Incompressible Fluid Flow in Open Systems with O(2) Symmetry (2011)
Journal Article
Cliffe, A., Hall, E., Houston, P., Phipps, E., & Salinger, A. (2012). Adaptivity and a Posteriori Error Control for Bifurcation Problems III: Incompressible Fluid Flow in Open Systems with O(2) Symmetry. Journal of Scientific Computing, 52(1), 153-179. https://doi.org/10.1007/s10915-011-9545-8

In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the bifurcation problem associated with the steady incompressible Navier-Stokes equations. Particula... Read More about Adaptivity and a Posteriori Error Control for Bifurcation Problems III: Incompressible Fluid Flow in Open Systems with O(2) Symmetry.