In this paper we propose a mathematical model of the proteolysis process. Protein digestion is modelled with the use of chemical master equation (CME), i.e. the system of stochastic differential equations corresponding to the network of enzymatic reactions. We present an efficient approach to model parameters’ estimation (i.e. enzyme activities) from time series of mass spectrometry data. These results extend previous results in three directions: by relaxing the stationarity of the proteolysis process assumption, by allowing cuts at arbitrary sites in the peptide sequence and by incorporating knowledge from biological databases.
Insecticides have leading role in reduction of population of arthropods, especially vectors of infectious diseases. Efficacy of insecticides is usually proved on biological material and described after adjusting the values of parameters in some “theoretical” function to the experimental results. In the standard approach, such function is described by probit regression. However, in some cases reaction of the population on pesticide differs from those which could be described by the probit regression curve and the results could not be properly assessed. The aim of this study was to elaboratie a practical tool for evaluating insecticide/acaricide efficacy, more universal than classical probit calculation. Software performing analysis was created using R 2.13.1 statistical software.
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