Mathematical models and computer analysis of the function of the central nervous system.
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A system for detecting sarcoidosis has been proposed on the basis of the results of a primary examination, which comprises a combination of programs for determining whether sarcoidosis may occur in various X-ray syndromes (enlarged intrathoracic lymph nodes, disseminated process, infiltrative or pneumonia-like shadow and cavity formation). The system has been developed with the help of a program-algorithm complex which enables one to make the dialogue system of the decision-make support on the basis of statistical methods of "image recognition" containing basic structural elements of the expert systems. Program development proceeds from the findings obtained in 406 patients with sarcoidosis of respiratory organs and 723 patients having similar clinical and X-ray picture of the disease. The diagnostic efficiency of the system was 89% in disseminated processes, 90% in enlarged intrathoracic lymph nodes and cavitary changes, and 96.2% in infiltrative changes.
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A mathematical overview of a stochastic computer simulation model of maternity histories is provided. Various components of human reproduction are accommodated in the model through distributions of waiting times among live births. Included in these components are distributions of age at first marriage in a cohort of women, waiting times to pregnancy for fecundable women, and the lengths of infecundable periods following live births. Probabilities that pregnancies end in either a live birth, induced abortion, or some other type of outcome are also included. Elements of renewal theory and semi-Markov processes in discrete time were the basic mathematical concepts used in the construction of the model. A brief description of an interactive software package called MATHIST, which may be used to implement the model on a computer, is also included. Four illustrative computer runs with MATHIST, pertinent to the operation of family planning programmes in Africa, are also described and discussed.
A mathematical and computational approach to some of the common problems found in writing digitizing programs for cephalometric analysis is described. The paper is aimed at those with access to a microcomputer and digitizer, some knowledge of the BASIC computer language and simple mathematics but little experience of writing digitizing programs.
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