Ion channel model reduction using manifold boundaries (2022)
Journal Article
Whittaker, D. G., Wang, J., Shuttleworth, J., Venkateshappa, R., Kemp, J. M., Claydon, T. W., & Mirams, G. R. (2022). Ion channel model reduction using manifold boundaries. Journal of the Royal Society, Interface, 19(193), Article 20220193. https://doi.org/10.1098/rsif.2022.0193

Mathematical models of voltage-gated ion channels are used in basic research, industrial and clinical settings. These models range in complexity, but typically contain numerous variables representing the proportion of channels in a given state, and p... Read More about Ion channel model reduction using manifold boundaries.

Some computable quasiconvex multiwell models in linear subspaces without rank-one matrices (2022)
Journal Article
Zhang, K., & Yin, K. (2022). Some computable quasiconvex multiwell models in linear subspaces without rank-one matrices. Electronic Research Archive, 30(5), 1632-1652. https://doi.org/10.3934/era.2022082

In this paper we apply a smoothing technique for the maximum function, based on the compensated convex transforms, originally proposed by Zhang in [1] to construct some computable multiwell non-negative quasiconvex functions in the calculus of variat... Read More about Some computable quasiconvex multiwell models in linear subspaces without rank-one matrices.

chaste codegen: automatic CellML to C++ code generation with fixes for singularities and automatically generated Jacobians (2022)
Journal Article
Hendrix, M., Clerx, M., Tamuri, A. U., Keating, S. M., Johnstone, R. H., Cooper, J., & Mirams, G. R. (2022). chaste codegen: automatic CellML to C++ code generation with fixes for singularities and automatically generated Jacobians. Wellcome Open Research, 6, Article 261. https://doi.org/10.12688/wellcomeopenres.17206.1

Hundreds of different mathematical models have been proposed for describing electrophysiology of various cell types. These models are quite complex (nonlinear systems of typically tens of ODEs and sometimes hundreds of parameters) and software packag... Read More about chaste codegen: automatic CellML to C++ code generation with fixes for singularities and automatically generated Jacobians.