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Mathematical modeling of Arabidopsis thaliana with focus on network decomposition and reduction
(2014)
Systems biology has become an important research field during the last decade. It focusses on the understanding of the systems which emit the measured data. An important part of this research field is the network analysis, investigating biological networks. An essential point of the inspection of these network models is their validation, i.e., the successful comparison of predicted properties to measured data. Here especially Petri nets have shown their usefulness as modeling technique, coming with sound analysis methods and an intuitive representation of biological network data.
A very important tool for network validation is the analysis of the Transition-invariants (TI), which represent possible steady-state pathways, and the investigation of the liveness property. The computational complexity of the determination of both, TI and liveness property, often hamper their investigation.
To investigate this issue, a metabolic network model is created. It describes the core metabolism of Arabidopsis thaliana, and it is solely based on data from the literature. The model is too complex to determine the TI and the liveness property.
Several strategies are followed to enable an analysis and validation of the network. A network decomposition is utilized in two different ways: manually, motivated by idea to preserve the integrity of biological pathways, and automatically, motivated by the idea to minimize the number of crossing edges. As a decomposition may not be preserving important properties like the coveredness, a network reduction approach is suggested, which is mathematically proven to conserve these important properties. To deal with the large amount of data coming from the TI analysis, new organizational structures are proposed. The liveness property is investigated by reducing the complexity of the calculation method and adapting it to biological networks.
The results obtained by these approaches suggest a valid network model. In conclusion, the proposed approaches and strategies can be used in combination to allow the validation and analysis of highly complex biological networks.
Local protein synthesis has re-defined our ideas on the basic cellular mechanisms that underlie synaptic plasticity and memory formation. The population of messenger RNAs that are localised to dendrites, however, remains sparsely identified. Furthermore, neuronal morphological complexity and spatial compartmentalisation require efficient mechanisms for messenger RNA localisation and control over translational efficiency or transcript stability. 3’ untranslated regions, downstream from stop codons, are recognised for providing binding platforms for many regulatory units, thus encoding the processing of the above processes. The hippocampus, a part of the brain involved in the formation, organisation and storage of memories, provides a natural platform to investigate patterns of RNA localisation. The hippocampus comprises tissue layers, which naturally separate the principle neuronal cell bodies from their processes (axons and dendrites). Identifying the full-complement of localised transcripts and associated 3’UTR isoforms is of great importance to understand both basic neuronal functions and principles of synaptic plasticity. These findings can be used to study the properties of neuronal networks as well as to understand how these networks malfunction in neuronal diseases.
Here, deep sequencing is used to identify the mRNAs resident in the synaptic neuropil in the hippocampus. Analysis of a neuropil data set yields a list of 8,379 transcripts of which 2,550 are localised in dendrites and/or axons. Using a fluorescent barcode strategy to label individual mRNAs shows that the relative abundance of different mRNAs in the neuropil varies over 5 orders of magnitude. High-resolution in situ hybridisation validated the presence of mRNAs in both cultured neurons and hippocampal slices. Among the many mRNAs identified, a large fraction of known synaptic proteins including signaling molecules, scaffolds and receptors is discovered. These results reveal a previously unappreciated enormous potential for the local protein synthesis machinery to supply, maintain and modify the dendritic and synaptic proteome.
Using advances in library preparation for next generation sequencing experiments, the diversity of 3’UTR isoforms present in localised transcripts from the rat hippocampus is examined. The obtained results indicate that there is an increase in 3’UTR heterogeneity and 3’UTR length in neuronal tissue. The evolutionary importance of the 3’UTR diversity and correlation with changes in species,tissue and cell complexity is investigated. The conducted analysis reveals the population of 3’UTR isoforms required for transcript localisation in overall neuronal transcriptome as well as the regulatory elements and binding sites specific for neuronal compartments. The configuration of poly(A) signals is correlated with gene function and can be further exploit to determine similar mechanisms for alternative polyadenylation.
Usage of custom specified methods for next-generation sequencing as well as novel approaches for RNA quantification and visualisation necessitate the development and implementation of new downstream analytic methods. Library methods for data-mining transcripts annotation, expression and ontology relations is provided. Usage of a specialised search engine targeting key features of previous experiments is proposed. A processing pipeline for NanoString technology, defining experimental quality and exploiting methods for data normalisation is developed. High-resolution in situ images are analysed by custom application, showing a correlation between RNA quantity and spatial distribution. The vast variety of bioinformatic methods included in this work indicates the importance of downstream analysis to reach biological conclusions. Maintaining the integrability and modularity of our implementations is of great priority, as the dynamic nature of many experimental techniques requires constant improvement in computational analysis.