A model of heart ventricles for electrocardiographic evaluation of the state of the myocardium

A mathematical model of heart excitation processes has been developed for describing an electrocardiogram. A verified archive of model electrocardiograms has been created with the use of the model. The model has been used to study how electrocardiograms are affected by individual variability in ventricle shape and heart position in the norm, in myocardial infarction of different localizations, and in ventricular hypertrophy. Correspondence of the specific features of real and model electrocardiograms is discussed.     

Modeling the binding affinities of beta-secretase inhibitors: application to subsite specificity

A new linear binding affinity model has been developed for hydroxyethylene based inhibitors of beta-secretase (BACE). This model is an improvement over a previously published model, and has been applied to a series of analogs not included in the training set. The linear model has been used to study subsite specificity for the P(2) through P(2)' positions, and to evaluate a small number of C-terminal analogs. The predicted rankings are in good agreement with experiment and support using this model for structure-based design of BACE inhibitors.     

An approach in mathematical modeling of an upflow packed-bed reactor for enzymatic hydrolysis of wheat straw

The behavior of a packed-bed reactor for enzymatic hydrolysis of pretreated wheat straw has been described by means of a mathematical model. The flow pattern has been evaluated by residence time distribution experiments. Small deviations from ideal plug flow behavior were found using the dispersion model. The kinetic model proposed for enzymatic hydrolysis of cellulosic fraction of pretreated wheat straw has been derived from batch experimental data. Variations of enzyme concentration throughout the straw bed have been approximately described using a ramp variation of adsorbed enzyme. The final explains qualitatively the experimental results.     

A molecular version of a probability model of radiation injury of cells

A molecular version of cell inactivation probability model has been proposed. Formal parameters of the model are interpreted. It has been shown that yeast cell inactivation regularities can be explained by DNA double-strand breaks processing during the postirradiation cell division.     

Simulation of the competition for light in forest stands of the same age

A model simulating the growth and interaction of trees during their competition for light has been proposed and verified. Qualitative analysis of the model behavior at various values of parameters determining the tree growth rate has been performed. The model verification shows a sufficiently high accuracy of the model approximation of empirical tree growth data. To study interspecific interactions in forest communities, some computing experiments on the development of mixed forest stands, represented by the main forest-forming wood species of the Far East, have been carried out.     

Resource limited and equilibrium models of populations

Summary The logistic equation has been used as the basis of two distinct models of population dynamics, a resource limited model and an equilibrium model. It is argued that although the two models are very different, the distinction between them has been obscured by the use of the same terminology for the parameters of both. It is further argued that the simple equilibrium model developed from the logistic equation has inconsistencies which make it untenable as a population model.     

Homology modelling of the human eukaryotic initiation factor 5A (eIF-5A).

Homology modelling of the human eIF-5A protein has been performed by using a multiple predictions strategy. As the sequence identity between the target and the template proteins is nearly 30%, which is lower than the commonly used threshold to apply with confidence the homology modelling method, we developed a specific predictive scheme by combining different sequence analyses and predictions, as well as model validation by comparison to structural experimental information. The target sequence has been used to find homologues within sequence databases and a multiple alignment has been created. Secondary structure for each single protein has been predicted and compared on the basis of the multiple sequence alignment, in order to evaluate and adjust carefully any gap. Therefore, comparative modelling has been applied to create the model of the protein on the basis of the optimized sequence alignment. The quality of the model has been checked by computational methods and the structural features have been compared to experimental information, giving us a good validation of the reliability of the model and its correspondence to the protein structure in solution. Last, the model was deposited in the Protein Data Bank to be accessible for studies on the structure-function relationships of the human eIF-5A.     

Probabilistic model of the spatial distribution of muscle fibres in human muscles

An analytical model and computer simulation model for measuring fibre density in motor units of human skeletal muscles have been described. The model was developed for Gaussian distribution of the fibres in the motor unit territory. It has been shown that fibre density measurement using a triggering fibre was a biased estimate of the actual density of the fibres in the territory. The effects of varying the standard deviation of the spatial distribution on the estimate of fibre density has been investigated, and it has been shown that for high values of standard deviation a uniform distribution of the fibres in the territory was a good first order approximation.     

Analysis of Dissolved Humic Substances in Eutrophic Waters Using the Fluorescence of Natural Samples: Calculations and Experiments

Theoretical analyses and experiments have been performed for rapid detection of dissolved humic substances in surface waters. The fluorescence has been generated by a nitrogen laser in a laboratory. An optical model has been developed, which has been applied to eutrophic waters around Berlin. The model is based on the assumption, that humic substances and phytoplankton dominate the fluorescence behaviour of the investigated waters. To verify the results of the model, regression analyses between fluorescence data of natural samples and the chemical oxygen demand of filtrates have been conducted. When green and red fluorescence values and the green fluorescence decay time were considered, a maximum squared correlation coefficient of typically 0.85 occurred.     

多元肥料效应函数模型的优化方法

本文对多元肥料效应函数模型的优化问题进行了分析,根据数学规划理论建立了对多元肥料效应函数进行优化的数学模型,给出了具体的计算方法。该方法经实践检验,效果很好。     

The biotic balance in Lake Baikal: Comparison of the results of modeling and observations

A mass-balance model has been applied to estimation of the biotic energy flow through the ecosystem of Lake Baikal. The prediction of the annual production of primary producers, reducers, and consumers (including fish) has been made based on the model.     

Anin numero study of glucose-insulin interaction

A mathematical model has been developed to simulate the glucose-insulin interaction following a glucose load such as occurs in an IVGTT. This model differs from earlier models in that the insulin response to glucose loading is a recurring all or none threshold response. The model has been simulated on a digital computer using the digital analog simulation language CSMP.     

On inherited fertility in biological systems: a model of correlated fluctuations in the stochastic branching process.

A new evolutionary model with hereditary modes considered as correlated fluctuations of fertility has been proposed. It has been demonstrated that the model allows the global statistical properties of the system to be evaluated, e.g. the ensemble average and the probability of extinction. The results obtained show the increase of instability of a population with the enhancement of inheritance efficiency. The existence of at least an exponential stratification in the population has also been shown. Possible applications of the present model are discussed.     

Microdosimetry model for boron neutron capture therapy: II. Theoretical estimation of the effectiveness function and surviving fractions

A model has been developed to obtain a better understanding of the effects of boron neutron capture therapy (BNCT) on a cellular scale. This model, the microdosimetry model MICOR, has been developed to include all reactions important for BNCT. To make the model more powerful in the translation from energy deposition to biological effect, it has been designed to be capable of calculating the effectiveness function. Based on this function, the model can calculate surviving fractions, RBE values and boron concentration distributions. MICOR has been used to analyze an extensive set of biological experiments performed at the HB11 beam in Petten. For V79 Chinese hamster cells, the effectiveness function is determined and used to generate surviving fractions. These fractions are compared with measured surviving fractions, which results in a good agreement between the measured and calculated surviving fractions (within the uncertainties of the measurements).     

The rat as an animal model of Alzheimer's disease

As a disease model, the laboratory rat has contributed enormously to neuroscience research over the years. It has also been a popular animal model for Alzheimer's disease but its popularity has diminished during the last decade, as techniques for genetic manipulation in rats have lagged behind that of mice. In recent years, the rat has been making a comeback as an Alzheimer's disease model and the appearance of increasing numbers of transgenic rats will be a welcome and valuable complement to the existing mouse models. This review summarizes the contributions and current status of the rat as an animal model of Alzheimer's disease.     

A theoretical study of receptor site models for trimethylammonium group interaction

A model system, depicting the interactions of the trimethylammonium and ammonium groups with possible receptor features has been constructed. The interaction energies of these two onium groups with seven receptor models have been calculated, using the interaction energy procedure of Claverie &; Rein (1969). The change of the energy of binding due to the structural change has been predicted for each receptor model. A ranking of receptor models has been constructed on this basis. The relationship of this change of binding energy to loss of potency of drug molecules containing these two structural features has been examined.     

Prognosis of typhoid morbidity in a region of northern new construction projects

The mathematical model describing the dependence of typhoid fever morbidity on water supply and the migration of the population has been constructed. The checking of the model has shown the 95% coincidence of the predicted and actual morbidity. The model has been used for the prognostication of morbidity rate in typhoid fever in new economic development regions, thus making it possible to plan in advance the measures necessary for the prevention of negative consequences connected with the realization of economic development projects.     

A neural theory of cognitive development

A physiologically based model of the neocortex has been developed in an attempt to elucidate possible structural and functional mechanisms of the mammalian cortex and account for a wide range of low level cognitive behavior. The model has been constrained by diverse empirical data. At the level of structural details, neuroanatomical and neurophysiological data have been considered and at the level of gross behavior, psychological data has been used. From the theory that groups of reverberating neurons provide a short term memory mechanism and that primary drive reduction triggers consolidation of a memory, a mechanism for selective learning has been developed. Fundamental to the model is the postulate of a novelty drive mechanism that functions in a manner analogous to the more widely accepted primary drives (e.g. hunger and fear). This paper examines the novelty drive mechanism and demonstrates its utility in accounting for a wide range of habituation behaviors. The success of the model is evaluated by comparing its behavior to appropriate empirical data. Finally, it is argued that a computer program is both a theory and a model, and that important advantages accrue from such a viewpoint.     

The limit of the modifiability of cellular radiosensitivity in sequential exposure to ionizing radiation and physical factors of a nonionizing nature

The application of a mathematical model of synergism in describing the consecutive combined actions of ionizing radiation and other physical agents has been considered. Using various cell systems it has been shown that the model permits to predict the highest dose modifying factor and conditions in which it can be achieved.