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At least 163 records · Page 9Linked to original sources
PubMed1991

[The differential diagnosis of sarcoidosis of the respiratory organs using mathematical methods and computers].

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.

Diagnosis, Differential↗
PubMed1984

A mathematical overview of a computer simulation model of maternity histories with illustrative examples.

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.

Adult↗
PubMed1983

On-line digitizing: useful mathematical techniques.

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.

Cephalometry↗
PubMed1991

Proline in alpha-helix: stability and conformation studied by dynamics simulation.

Free-energy simulations have been used to estimate the change in the conformational stability of short polyalanine alpha-helices when one of the alanines is replaced by a proline residue. For substituting proline in the middle of the helix the change in free energy of folding (delta delta G degrees) was calculated as 14 kJ/mol (3.4 kcal/mol), in excellent agreement with the one available experimental value. The helix containing proline was found to be strongly kinked; the free energy for reducing the angle of the kink from 40 degrees to 15 degrees was calculated, and found to be small. A tendency to alternate hydrogen bonding schemes was observed in the proline-containing helix. These observations for the oligopeptide agree well with the observation of a range of kink angles (18-35 degrees) and variety of hydrogen bonding schemes, in the rare instances where proline occurs in helices in globular proteins. For substituting proline at the N-terminus of the helix the change in free energy of folding (delta delta G degrees) was calculated as -4 kJ/mol in the first helical position (N1) and +6 kJ/mol in the second helical position (N2). The observed frequent occurrence of proline in position N1 in alpha-helices in proteins therefore has its origin in stability differences of secondary structure. The conclusion reached here that proline may be a better helix former in position N1 than (even) alanine, and thus be a helix initiator may be testable experimentally by measurements of fraction helical conformation of individual residues in oligopeptides of appropriate sequence. The relevance of these results in regards to the frequent occurrence of proline-containing helices in certain membrane proteins is discussed.

Alanine↗
PubMed1989

A parallel implementation of the ALOPEX process.

Optimization techniques have found many applications in science, engineering, and industry. In all applications, the best value of a "cost function" is sought in a well-defined domain; this cost function in general depends on many parameters. An iterative optimization technique has been developed (ALOPEX) that uses feedback in order to optimize the response of a system. The cost function for this process is problem dependent and therefore quite flexible. The method has been applied successfully to different optimization problems such as pattern recognition, receptive field studies in the visual system of animals, curve fitting, etc. We present two special purpose hardware implementations for ALOPEX. The first method takes time O(logN + logm) and uses O(mN2) processing elements. The second method takes O(logN + m) time and uses O(N2) processing elements. Our basic architecture is a binary tree with N2 leaves (equal to the length of the vectors) and therefore had depth O(logN). Different implications of the two approaches will be discussed including similarities with the biological visual process.

Algorithms↗