An analytical scheme on complete integrability of 2D biophysical excitable systems

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.

Download Full-text

Spatial Development as a Modernization Driver for the Republic of Kazakhstan

Voprosy Ekonomiki ◽

10.32609/0042-8736-2012-5-53-58 ◽

2012 ◽

pp. 53-58

Author(s):

S. Afontsev ◽

N. Zubarevich

Keyword(s):

Raw Materials ◽

Spatial Development ◽

Economic Diversification ◽

Regional Economic ◽

Analytical Scheme ◽

Basic Goods ◽

Challenges And Opportunities ◽

The Republic

The questions of spatial development as a modernization driver (the Kazakhstan case) are considered in this article. The analysis of the regional economic differences makes possible to work out the development guidelines, based on the advantages combination of the basic goods specialization and the policy of transferring growth impulses from the raw materials sector to the industry and service ones. Current challenges and opportunities, which face the Kazakhstan economy, the questions of economic diversification drive up the importance of the connection between spatial development and the cluster priorities. The analytical scheme of macro-regions and diversification through the dynamic focal networks can settle up these challenges.

Download Full-text

Conceptual foundations for the development of J.G.Turner’s general sociological theory: Metatheoretical ideas, basic concepts and analytical scheme

Sociology: Theory, Methods, Marketing ◽

10.15407/sociology2019.04.040 ◽

2019 ◽

pp. 40-60

Author(s):

Volodymyr Reznik

Keyword(s):

Social Evolution ◽

Social Dynamics ◽

Sociological Theory ◽

Social Forces ◽

Analytical Scheme ◽

Initial Stage ◽

The Social ◽

Production Distribution ◽

Basic Concepts ◽

Conceptual Foundations

The article discusses the conceptual foundations of the development of the general sociological theory of J.G.Turner. These foundations are metatheoretical ideas, basic concepts and an analytical scheme. Turner began to develop a general sociological theory with a synthesis of metatheoretical ideas of social forces and social selection. He formulated a synthetic metatheoretical statement: social forces cause selection pressures on individuals and force them to change the patterns of their social organization and create new types of sociocultural formations to survive under these pressures. Turner systematized the basic concepts of his theorizing with the allocation of micro-, meso- and macro-levels of social reality. On this basis, he substantiated a simple conceptual scheme of social dynamics. According to this scheme, the forces of macrosocial dynamics of the population, production, distribution, regulation and reproduction cause social evolution. These forces force individual and corporate actors to structurally adapt their communities in altered circumstances. Such adaptation helps to overcome or avoid the disintegration consequences of these forces. The initial stage of Turner's general theorizing is a kind of audit, modification, modernization and systematization of the conceptual apparatus of sociology. The initial results obtained became the basis for the development of his conception of the dynamics of functional selection in the social world.

Download Full-text

On the Stability in Bonnet's Theorem of the Surface Theory

Georgian Mathematical Journal ◽

10.1515/gmj.2007.543 ◽

2007 ◽

Vol 14 (3) ◽

pp. 543-564

Author(s):

Yuri G. Reshetnyak

Keyword(s):

Differential Operators ◽

Sobolev Class ◽

Integrability Condition ◽

Complete Integrability ◽

Integral Representations ◽

Completely Integrable Systems ◽

Frobenius Theorem ◽

Fundamental Tensor ◽

The Stability ◽

Codazzi Equations

Abstract In the space , 𝑛-dimensional surfaces are considered having the parametrizations which are functions of the Sobolev class with 𝑝 > 𝑛. The first and the second fundamental tensor are defined. The Peterson–Codazzi equations for such functions are understood in some generalized sense. It is proved that if the first and the second fundamental tensor of one surface are close to the first and, respectively, to the second fundamental tensor of the other surface, then these surfaces will be close up to the motion of the space . A difference between the fundamental tensors and the nearness of the surfaces are measured with the help of suitable 𝑊-norms. The proofs are based on a generalization of Frobenius' theorem about completely integrable systems of the differential equations which was proved by Yu. E. Borovskiĭ. The integral representations of functions by differential operators with complete integrability condition are used, which were elaborated by the author in his other works.

Download Full-text

CoKnowEMe: An Edge Evaluation Scheme for QoS of IoMT Microservices in 6G Scenario

Future Internet ◽

10.3390/fi13070177 ◽

2021 ◽

Vol 13 (7) ◽

pp. 177

Author(s):

Grazia Veronica Aiosa ◽

Barbara Attanasio ◽

Aurelio La Corte ◽

Marialisa Scatá

Keyword(s):

Communication Networks ◽

Systems Approach ◽

Evaluation Model ◽

Service Evaluation ◽

Important Change ◽

Supplementary Information ◽

Analytical Scheme ◽

Evaluation Scheme ◽

Reducing Costs ◽

And Performance

The forthcoming 6G will attempt to rewrite the communication networks’ perspective focusing on a shift in paradigm in the way technologies and services are conceived, integrated and used. In this viewpoint, the Internet of Medical Things (IoMT) represents a merger of medical devices and health applications that are connected through networks, introducing an important change in managing the disease, treatments and diagnosis, reducing costs and faults. In 6G, the edge intelligence moves the innovative abilities from the central cloud to the edge and jointly with the complex systems approach will enable the development of a new category of lightweight applications as microservices. It requires edge intelligence also for the service evaluation in order to introduce the same degree of adaptability. We propose a new evaluation model, called CoKnowEMe (context knowledge evaluation model), by introducing an architectural and analytical scheme, modeled following a complex and dynamical approach, consisting of three inter-operable level and different networked attributes, to quantify the quality of IoMT microservices depending on a changeable context of use. We conduct simulations to display and quantify the structural complex properties and performance statistical estimators. We select and classify suitable attributes through a further detailed procedure in a supplementary information document.

Download Full-text

Grain Policies and Storage in Southern Germany: The Regensburg Hospital (17th-19th Centuries)

Jahrbuch für Wirtschaftsgeschichte / Economic History Yearbook ◽

10.1515/jbwg-2018-0014 ◽

2018 ◽

Vol 59 (2) ◽

pp. 415-445

Author(s):

Kathrin Pindl

Keyword(s):

Early Modern ◽

18Th Century ◽

Early Modern Period ◽

Analytical Scheme ◽

Economic Decisions ◽

Modern Period ◽

Specific Factors ◽

Time Specific ◽

Time Invariant ◽

And Storage

Abstract This paper is concerned with the storage policy of the citizens’ hospital of Regensburg in the Early Modern period (focus: 18th century). The main purpose consists of (1) a source-based micro-study that helps to derive insights into the mechanisms of how experiences and expectations have influenced decisions by a pre-modern institution, (2) an analytical scheme for describing and evaluating the process of decision-making based on narrative evidence, and (3) the suggestion of analytical categories. These should allow a differentiation between time-invariant human behaviour that determines economic decisions, and time-specific factors which can be used to separate possibly “pre-modern” patterns from seemingly modern-day capitalist economic performance.

Download Full-text