Biomedical subjects

Erik Plahte

Publications and source records attributed to Erik Plahte.

3 recordsLinked to original sources

PubMed2006

Analysis of gene regulatory network models with graded and binary transcriptional responses.

The steep sigmoid framework developed by Plahte and Kjøglum [Plahte, E., Kjøglum, S., 2005. Analysis and generic properties of gene regulatory networks with graded response functions. Phys. D 201, 150-176, doi:10.1016/j.physd.2004.11.014] provides a uniform description of gene regulatory networks in which there may be both graded and binary transcriptional responses, as well as a method for analysing the models developed. Here we extend this framework. We show that there is a relation between the location of steady states and the feedback structure of a system, thus generalising existing results for Boolean type models. In addition, we justify underlying assumptions and generic features of the modelling framework in terms of biology and generalise the overall approach to take into account that each transcription factor only regulates one gene at a given threshold. By this assumption, the analysis of the models are greatly simplified.

Animals↗

PubMed2003

Targeted reduction of complex models with time scale hierarchy--a case study.

With the increasing flow of biological data there is a growing demand for mathematical tools whereby essential aspects of complex causal dynamic models can be captured and detected by simpler mathematical models without sacrificing too much of the realism provided by the original ones. Given the presence of a time scale hierarchy, singular perturbation techniques represent an elegant method for making such minimised mathematical representations. Any reduction of a complex model by singular perturbation methods is a targeted reduction by the fact that one has to pick certain mechanisms, processes or aspects thought to be essential in a given explanatory context. Here we illustrate how such a targeted reduction of a complex model of melanogenesis in mammals recently developed by the authors provides a way to improve the understanding of how the melanogenic system may behave in a switch-like manner between production of the two major types of melanins. The reduced model is shown by numerical means to be in good quantitative agreement with the original model. Furthermore, it is shown how the reduced model discloses hidden robustness features of the full model, and how the making of a reduced model represents an efficient analytical sensitivity analysis. In addition to yielding new insights concerning the melanogenic system, the paper provides an illustration of a protocol that could be followed to make validated simplifications of complex biological models possessing time scale hierarchies.

Animals↗

PubMed2002

The regulatory basis of melanogenic switching.

Melanin produced in follicular melanocytes is the major basis for pigmentation of hair and wool in mammals. Two major types of melanin may be synthesized, the black/brown eumelanin and the reddish/yellow pheomelanin. Based on available cell biological evidence and reasonable assumptions, a mathematical model is developed to improve our understanding of melanogenic switching, i.e. the switching between eumelanin and pheomelanin production depending on the extracellular signalling context. In 1993, Ito proposed that melanogenic switching is due to the covalent binding of the intermediate DOPAquinone to the enzyme glutathione reductase. We were only able to obtain a good fit to available experimental data on the relation between pheomelanin levels and the activity of the key enzyme tyrosinase by taking Ito's hypothesis into account. Thus, our results support Ito's hypothesis, and suggest that melanogenic switching may be due to a jump between two stable production pattern states when the tyrosinase activity varies between two bifurcation levels. This implies that small changes in the levels of external regulatory factors may cause an accentuated change in the proportion of the produced colour pigments and may explain the fact that mammalian coat patterns often exhibit sharply delimited patches of either black or reddish colour.

Animals↗