scholarly journals Mathematical Forecasting Model of Water Sources’ Ecological Safety

10.12737/450 ◽  
2013 ◽  
Vol 2 (3) ◽  
pp. 41-45
Author(s):  
Сметанников ◽  
Yu. Smetannikov ◽  
Коптев ◽  
N. Koptev ◽  
Зайцев ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
External Factors ◽  
Forecasting Model ◽  
Biological Processes ◽  
Ecological Safety ◽  
Biomass Resource ◽  
Modeling Techniques ◽  
Model Equations ◽  
The Impact

Mathematical modeling techniques of self-cleaning separate mechanisms, and also the models, which consider the impact of toxicants on the course of biological processes are offered. The functions reflecting a system reaction nature on internal and external factors are received. The obtained results qualitatively correctly describe the "biomass – resource" system evolution, which allows during comparison of model equations’ solutions and experimental data to calculate the kinetic constants of model.

scholarly journals C. elegans colony formation as a phase separation phenomenon

2020 ◽  
Author(s):  
Yuping Chen ◽  
James Ferrell
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Phase Separation ◽  
Colony Formation ◽  
Ostwald Ripening ◽  
Micelle Formation ◽  
Biological Processes ◽  
C Elegans ◽  
Separation Theory ◽  
Molecular Scale

Abstract Phase separation at the molecular scale affects many biological processes. The theoretical requirements for phase separation are fairly minimal, and analogous phenomena may occur at other scales in biology. Here we have examined colony formation in the nematode C. elegans as a possible example of phase separation by a population of organisms. Experimental data and mathematical modeling indicated that, similar to physical condensation processes like phase separation and micelle formation, the population density of worms determines colony formation in a thresholded fashion, with the threshold correctly predicted by phase separation theory. Furthermore, we found that a phenomenon akin to Ostwald ripening – a coarsening seen in many systems that undergo phase separation – occurs. Our results show that populations of organisms can undergo condensation phenomena and phase separation.

Development of Generalized Parameters for Canine Multibody Meniscus Models From Experimental Data

2011 ◽  
Author(s):  
Gavin Paiva ◽  
Trent Guess
Keyword(s):  
Experimental Data ◽  
Soft Tissues ◽  
Biological Tissues ◽  
Finite Element Models ◽  
Santa Ana ◽  
Modeling Techniques ◽  
Flexible Behavior ◽  
Rigid Body Mechanics ◽  
Generalized Parameters ◽  
The Impact

It has been established that in order to accurately model a knee joint a reasonable approximation of the soft tissues present is necessary1. Models which include these soft tissue structures are able to better reproduce joint kinematics, loading, and analyze the impact of damage and pathological joint behavior1. Simulating the behavior of these tissues requires either a detailed understanding of materials properties that can be implemented via finite element models or the production of an empirical model that can be implemented inside other model frameworks2,3. This study explores the application of multibody (MB) modeling techniques in an attempt to capture the flexible behavior of biological tissues inside of a rigid body mechanics software, MD ADAMS (MSC software, Santa Ana, California), by tuning the performance to experimental data using design of experiments (DOE).

scholarly journals Impact Force Magnitude Analysis of an Impact Pendulum Suspended in a Vibrating Structure

2012 ◽  
Vol 19 (6) ◽  
pp. 1359-1372 ◽  
Author(s):  
R.R. Aguiar ◽  
H.I. Weber
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Mathematical Model ◽  
Impact Force ◽  
Experimental Measurements ◽  
Force Magnitude ◽  
Force Profile ◽  
The Rich ◽  
The Impact ◽  
The Mathematical Model

The purpose of this work is the experimental investigation and the mathematical modeling of the impact force behavior in a vibro-impact system, where an impact pendulum is mounted on a cart that moves with a prescribed displacement. The dynamics of the system will be evaluated considering different excitation frequencies and changing the impact gap. Experimental data are used to validate the mathematical model. The mathematical model allows a detailed nonlinear analysis, showing the rich response of the system, which includes dynamical jumps, bifurcations and chaos. In impact systems, discrepancies between numerical results and experimental measurements are common due to the difficulty in describing all factors that influence the resulting impact force profile. The use of wires to suspend the impacting body has the purpose to limit these uncertainties.

Fluorescent potentiometric dyes for membrane-potential imaging

1994 ◽  
Vol 52 ◽  
pp. 166-167
Author(s):  
Leslie M. Loew
Keyword(s):  
Membrane Potential ◽  
Single Cells ◽  
Quantitative Imaging ◽  
Optical Recording ◽  
Biological Processes ◽  
Major Focus ◽  
The Past ◽  
Excitable Systems ◽  
Major Application ◽  
The Impact

A major application of potentiometric dyes has been the multisite optical recording of electrical activity in excitable systems. After being championed by L.B. Cohen and his colleagues for the past 20 years, the impact of this technology is rapidly being felt and is spreading to an increasing number of neuroscience laboratories. A second class of experiments involves using dyes to image membrane potential distributions in single cells by digital imaging microscopy - a major focus of this lab. These studies usually do not require the temporal resolution of multisite optical recording, being primarily focussed on slow cell biological processes, and therefore can achieve much higher spatial resolution. We have developed 2 methods for quantitative imaging of membrane potential. One method uses dual wavelength imaging of membrane-staining dyes and the other uses quantitative 3D imaging of a fluorescent lipophilic cation; the dyes used in each case were synthesized for this purpose in this laboratory.

Some reflections on social structure: Theoretical and practical aspects

2020 ◽  
Vol 18 (6) ◽  
pp. 1063-1078
Author(s):  
T.N. Skorobogatova ◽  
I.Yu. Marakhovskaya
Keyword(s):  
Service Industry ◽  
External Factors ◽  
Infrastructure Development ◽  
Social Infrastructure ◽  
Social Sphere ◽  
The Social ◽  
Study Results ◽  
The Republic ◽  
Internal And External Factors ◽  
The Impact

Subject. This article discusses the role of social infrastructure in the national economy and analyzes the relationship between the notions of Infrastructure, Service Industry and Non-Productive Sphere. Objectives. The article aims to outline a methodology for development of the social infrastructure of Russia's regions. Methods. For the study, we used the methods of statistical and comparative analyses. The Republic of Crimea and Rostov Oblast's social infrastructure development was considered as a case study. Results. The article finds that the level of social infrastructure is determined by a number of internal and external factors. By analyzing and assessing such factors, it is possible to develop promising areas for the social sphere advancement. Conclusions. Assessment and analysis of internal factors largely determined by the region's characteristics, as well as a comprehensive consideration of the impact of external factors will help ensure the competitiveness of the region's economy.

Modelling of catalyst pellet deactivation

1985 ◽  
Vol 50 (11) ◽  
pp. 2381-2395
Author(s):  
Alena Brunovská ◽  
Ján Buriánek ◽  
Ján Ilavský ◽  
Ján Valtýni
Keyword(s):  
Experimental Data ◽  
Numerical Results ◽  
Benzene Hydrogenation ◽  
Alumina Catalyst ◽  
Temperature Changes ◽  
Catalyst Pellet ◽  
Model Equations ◽  
Catalytic Poison

The diffusion and the shell progressive models of deactivation caused by irreversible chemisorption of a catalytic poison are presented for a single catalyst pellet. The method for solution of the model equations is proposed. The numerical results are compared with experimental data obtained by measuring concentration and temperature changes due to thiophene poisoning in benzene hydrogenation over a nickel-alumina catalyst.

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