Application of Discrete Fourier Inter-Coefficient Difference for Assessing Genetic Sequence Similarity

Digital signal processing (DSP) techniques for biological sequence analysis continue to grow in popularity due to the inherent digital nature of these sequences. DSP methods have demonstrated early success for detection of coding regions in a gene. Recently, these methods are being used to establish DNA gene similarity. We present the inter-coefficient difference (ICD) transformation, a novel extension of the discrete Fourier transformation, which can be applied to any DNA sequence. The ICD method is a mathematical, alignment-free DNA comparison method that generates a genetic signature for any DNA sequence that is used to generate relative measures of similarity among DNA sequences. We demonstrate our method on a set of insulin genes obtained from an evolutionarily wide range of species, and on a set of avian influenza viral sequences, which represents a set of highly similar sequences. We compare phylogenetic trees generated using our technique against trees generated using traditional alignment techniques for similarity and demonstrate that the ICD method produces a highly accurate tree without requiring an alignment prior to establishing sequence similarity.

Prognostic impact of lymph node ratio outperforms positive lymph nodes and lymph nodes harvested: a time-dependent analysis in mismatch repair-proficient and –deficient colrectal cancers

Objective: We compare the prognostic strength of the lymph node ratio (LNR), positive lymph nodes (+LNs) and collected lymph nodes (LNcoll) using a time-dependent analysis in colorectal cancer patients stratified by mismatch repair (MMR) status. Method: 580 stage III-IV patients were included. Multivariable Cox regression analysis and time-dependent receiver operating characteristic (tROC) curve analysis were performed. The Area under the Curve (AUC) over time was compared for the three features. Results were validated on a second cohort of 105 stage III-IV patients. Results: The AUC for the LNR was 0.71 and outperformed + LNs and LNcoll by 10–15 % in both MMR-proficient and deficient cancers. LNR and + LNs were both significant (p<0.0001) in multivariable analysis but the effect was considerably stronger for the LNR [LNR: HR=5.18 (95 % CI: 3.5–7.6); +LNs=1.06 (95 % CI: 1.04–1.08)]. Similar results were obtained for patients with >12 LNcoll. An optimal cut off score for LNR=0.231 was validated on the second cohort (p<0.001). Conclusion: The LNR outperforms the + LNs and LNcoll even in patients with >12 LNcoll. Its clinical value is not confounded by MMR status. A cut-of score of 0.231 may best stratify patients into prognostic subgroups and could be a basis for the future prospective analysis of the LNR.

Lake Ladoga: Water Resources for the Sustainable Development of North-Western Russia and Finland

The aim of this project was to evaluate the present state and possible changes of water resources in Lake Ladoga and its drainage basin for the purposes of the sustainable development of North-Western Russia and Finland. The group assessed the state of the water resources in quantitative and qualitative terms, taking the system of sustainable development indicators suggested by the International Commission on Sustainable Development as a basis for assessment. These include pressure indicators (annual withdrawals of ground and surface water, domestic consumption of water per capita), state indicators (ground water reserves, concentration of faecalcoliform in fresh water, biochemical oxygen demand), and response indicators (waste-water treatment coverage, density of hydrological networks). The group proposed the following additional indicators and indices for the complex evaluation of the qualitative and quantitative state of the region's water resources: * Pressure indicators (external load, coefficient of anthropogenic pressure) * State indicators and indices (concentrations of chemicals in water, concentrations of chemicals in sediments, index of water pollution, critical load, critical limit, internal load, load/critical load, concentration/critical limit, internal load/external load, trophic state, biotic indicators and indices) * Response indicators (discharges of pure water, polluted water, partly treated water and the ratio between these, trans-boundary fluxes of pollutants, state expenditure on environmental protection, human life span) The assessment considered both temporal and spatial aspects and produced a regional classification of the area according to the index of water pollution. Mathematical models were developed to describe and forecast the processes under way in the lake and can be used to estimate the influence of climatic changes on the hydrological regime, as well as the influence of anthropogenic load on the trophic state of Lake Ladoga and to assess the consequences of accidental discharges of polluting admixtures of different kinds into the lake. The results of this mathematical modelling may be of use to decision-makers responsible for the management of water resources.