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Results for “Mathematical Computing”

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At least 127 records · Page 7Linked to original sources
PubMed1991

Theory of ocular dominance column formation. Mathematical basis and computer simulation.

A general theory previously proposed by the author which describes synaptic stabilization on the basis of three basic assumptions is employed for the understanding of ocular dominance column formation. A reduced mathematical model is constructed based on the thermodynamics in the Ising spin variables representing the afferent synaptic connection distribution. The results of Monte Carlo simulations on the segregation of ipsilateral and contralateral synaptic terminals in the input layer of the primary visual cortex suggest the existence of phase transition phenomena. Three types of ocular dominance column patterns--stripe, blob, and uniform--are visualized according to the values of the correlation strength and the degree of imbalance in activity between the left and right retinas. The theory presented here successfully explains how ocular dominance columns are developed.

Animals↗
PubMed1978

[Role of computer technology and mathematical modelling in the treatment of patients after operations on the heart].

On the basis of ten-year experience in theoretical studies and experimental tests mathematical models of hemodynamics were built for the follow-up of parameters of the cardiovascular system which cannot be determined by means of any other modern methods. Three years of clinical studies of the Hewlett-Pachard monitoring computer system and its modification helped to elaborate the mathematical backing, a bank of mathematical models, original automatic programs for measuring the cardiac index, the index of myocardial viability, etc. The automatic system provides for an individual approach in assessing the patient's condition in actual time and for control of the treatment.

Cardiac Surgical Procedures↗
PubMedDate not supplied

[The use of personal computers for the mathematical processing of the results of chemical-toxicological studies].

Three programs in BASIC and SUPER BASIC language for personal computer are suggested. The first program makes it possible to calculate the degree of substance extraction and factor of its distribution between two liquid immiscible phases. The second program is designed to make calculations on distribution of substance in the organs of experimental animals. The third program is designed to determine specific and molar factors of light absorption. Results of calculations are presented as tables. Programs can be also used in mathematical processing of results obtained in the course of scientific research.

Electronic Data Processing↗
PubMed1982

Visual-vestibular interaction in the control of eye movement: mathematical modelling and computer simulation.

After a brief description of the main anatomical structures subserving the oculomotor responses during combined vestibular and optokinetic stimulations, a mathematical model is presented. With respect to a previous model by Schmid et al. (1980), a more accurate definition of the roles of the neural mechanisms involved in oculomotor control in different conditions of visual-vestibular interaction is given. The model is proved to be able to predict not only oculomotor responses, but also single unit average responses in the vestibular nuclei and in the vestibulo-cerebellum. Experimental data available in the literature on monkeys and cats are used for model validation.

Animals↗
PubMedDate not supplied

A computer program for mathematical treatment of data in radioimmunoassay.

A mathematical analysis of counting data obtained in hormone plasmatic radioimmunoassay is presented. A log-normal Galton distribution of the dose-effect type is assumed for the fitting of the experimental data. The special adopted procedure makes it possible to reproduce the total range of the sigmoid curve and not only the rectilinear part of it. Experimental data with iterations and the proper weights of the iterated counting rates are automatically taken into account and the statistical errors of the standard curve and of the sample's dose evaluated from it are given by the code. A large number of analyses have been performed in order to test the affidability of the method and to explain the validity of the chemical-physical parameters of the calculated distribution. Some selected results are presented and a full description of the mathematical formalism is given.

Animals↗
PubMed1988

Mathematical analysis of computed carpal models.

The computed carpal models from digital computed tomography (CT) data obtained in this study compare favorably to natural anatomy. A new application of algebraic analysis of this data provides mathematical markers from which to calculate the position and orientation of each carpal bone. When the origin of the spatial coordinates of a carpal bone is transferred to the centroid of the bone, the data can be treated as three-dimensional pattern vectors describing its surface. It is then possible to calculate vectors that are the principal axes of the geometry. These axes provided references that were used to calculate position and orientation of the carpal bones in three wrist specimens. Comparisons of volumes, surface areas, and sizes and proportions of five computed images of each carpal bone from two of these wrists demonstrate the reliability of the technique. The analysis of CT scans of ceramics with known boundaries allows an estimation of its accuracy. The technique is well suited to the future study of normal wrist kinematics and pathological conditions.

Carpal Bones↗
PubMed1989

Computer-assisted predictive mathematical relationship among electroshock voltage and duration and occurrence of convulsion in mice.

A microcomputer program in BASIC for predicting percentage of occurrence of electroshock-induced convulsion in mice was designed. A formula published by the author to express the mathematical relationship among the drug dose, the time, and the biological response was used in this program. Analysis of the actual, and the computer-assisted predicted percentages of occurrence of convulsion has shown that the program is fairly accurate in expressing convulsion response of mice as a function of the voltage and the duration.

Animals↗
PubMed1991

Fractals and medicine.

Explore the source record for details and available documents.

Image Interpretation, Computer-Assisted↗
PubMed1986

Computer-assisted predictive mathematical relationship among metrazol dose and time and mortality in mice.

A microcomputer program in BASIC for predicting mortality in mice administered metrazol is designed. A formula published by the author to express the mathematical relationship among the drug dose, the time after administration, and the biological response was used in this program. Analysis of the actual and the computer-assisted predicted mortalities has shown that the program is fairly accurate and reliable in expressing tolerance of mice as a function of the dose and the time.

Animals↗
PubMed1989

A mathematical model for the computation of the oxygen dissociation curve in human blood.

The mathematical relations developed by various researchers for the oxygen dissociation curve are reviewed. Using well-known mechanisms of chemical kinetics of various species in the blood, we have developed a mathematical formula to compute the oxygen dissociation curve in the blood showing its dependence on the pH and PCO2. The functional form, proposed here, is much simpler in comparison to those available in the literature for use in the mathematical modelling of O2 transport in the pulmonary and systemic circulations. In the process, the well-known Hill's equation has been generalized showing an explicit dependence on PCO2 and pH. It is shown that the oxygen dissociation curve computed from our comparatively simpler equation, fits in fairly well with the documented data and shows realistic shift with PCO2 and pH.

Hemoglobins↗