For many years, algebraic constructive logic model is used for multivariate analysis in medicine and biology. The classic version of this model includes the exclusion of contradictory accounts, i.e. when the target is achieved and not achieved in the presence of the same values of the factors. In this case, the lines as appropriate to achieving target, and its failure are removed, including significant proportions. Another feature of this algorithm is the partial overlap of the intervals to determine the factors resulting in components in achieving a target and not achieving despite the exclusion of contradictory accounts. The authors explain this by the fact that the classical algorithm generates the detection limits of the factors in resulting components with some capture values that are related to the lines of not achieving the target (up to inappropriate values). To some extent this reduces the accuracy of the mathematical model. A further feature of the algorithm is the necessary to optimize mathematical model by excluding re-coating lines. This is acceptable, but not optimal. This requires additional procedures at the final stage of formation of the mathematical model. The proposed version of the algebraic model of constructive logic allows to eliminating the above drawbacks. This is achieved the measure of approximation and a way of combining the cases in the resulting components. The proposed algorithm was tested using specially designed software that allows to exclude controversial cases and to form a mathematical model. Testing showed that the proposed algorithm is better than the classic version and meets the objectives of multivariate analysis in medicine and biology.

The article describes the requirements for the implementation of a regional register of mortality, the most important of which are: automatic determination of the initial cause of death when entering multiple causes of death; the possibility of viewing the results of the automatic detection of the original causes of death, including the application of encoding rules; automatic permutation of rows causes of death to restore a logical sequence covering cases in which the user often makes mistakes; the possibility of encoding data using automatically determine the initial cause of death in case of doubt in the correctness of the encoding; handbook of synonyms ICD-X to enter the cause of death; the possibility to recognize text in the handbook of synonyms; advanced logic control coding in some cases, which are not covered by automatic detection of the original cause of death ACME; enhanced automatic coding of external causes of death; post-mortem diagnosis coding unspecified cases. Implementation of a web-based version of the register of mortality with the proposed requirements, interfacing with electronic medical records will improve the monitoring of mortality, especially in terms of availability of information any time, thereby ensuring efficiency in management decisions.

The paper considers the stage of preparing the database for multi-factor analysis by means of the algebraic model of constructive logic that has been used successfully since 1999 to perform the analysis in medicine and biology. Initial data for model building is a table. Each line in this table is treated as a case where the values of factors and their impacts are marked. The resulting model is represented by a set of result components in the form of factors indicating the limit of detection combined by conjunction sing (pointing to the combined effect). Each resulting component is characterized by the capacity is the essence of the number of lines in the table, which correspond to the specified limits of determining factors in their joint action. The resulting logical expression is characterized by a combination of factors (indicating the detection limits of each of them) in their capacity as the degree of influence on the result. The initial table data should not have contradictions (when the aim is achieved and isn´t achieved by the same values of the factors). To this aim, the program envisages the exception of those targeted lines of which coincide with non-target strings. However, this isn´t always acceptable in cases of a large number of matching target lines and the singular numbers of non-target strings. Then a large number of cases due to the single non-target line are excluded. The analysis of the coincidences of target and non-target lines to select a single non-target line, to remove them from the database on the example of connective tissue dysplasia with magnesium therapy has been proposed. Comparative analysis of the obtained mathematical models was carried out. The effect of improvement of mathematical model on the basis of algebraic model of constructive logic was demonstrated.

The article analyzes 183924 case of death of the population in the Tula region from the mortality register from 2007 to 2013. Quantitative assessment of mortality as a percentage of the total number of cases for blocks of three-digit rubric of ICD-X shows that coronary heart disease is 31,507%, cerebrovascular disease – 22,710%, malignant neoplasms of digestive organs – 5,336%, other heart disease – 3,686, liver disease – 2,848%, diabetes – 2,658%, malignant neoplasms, respiratory organs and thorax cells – 2,607%, toxic substances, mainly non-medical purposes (including alcohol) – 2,252%, other and unspecified effects of external causes – 2,069%, chronic diseases of the lower respiratory tract – 1,870%.It is shown that ischemic heart disease was increased until 2010 and thereafter began to decline, reaching approximately the initial level. It is noted that cerebrovascular diseases decrease every year, and malignant neoplasms of digestive organs increase. Coronary heart disease for men is different from women significantly fewer and increased mortality in the age groups 45- 54, 55-64 and 65-74.

The article presents the program to determine the principal components resulting in the algebraic model of constructive logic, which is designed for construction multivariate nonlinear mathematical models. The resulting mathematical model is represented by a set of resulting components as factors indicating the detection limits, combined mark of conjunction (indicating joint impact). Each resulting component is characterized by power, which is the essence of the number of rows in the table that match the specified detection limits factors in their joint action. The program provides two methods to determine the main result components. The first method is based on determining the minimum difference between increasing amounts of capacity resulting components of the top and bottom. The second method is based on the determination of the inflection point of the curve decreasing capacity of the resulting components. The authors give recommendations on the choice of allocation method the main result components. If the curve changes power has a dedicated point of inflection and more like a straight line, it is recommended to use method 1. If the curve changes power has a dedicated point of inflection, it is recommended to use method 2. The program should be used in the package of analytical programs algebraic model of constructive logic when performing complex analytical calculations in biophysics, medicine and biology.