The Experts below are selected from a list of 84 Experts worldwide ranked by ideXlab platform

D.t. Mihailović - One of the best experts on this subject based on the ideXlab platform.

  • Heterarchy and Biochemical Substance exchange in a diffusively coupled ring of cells
    Developments in Environmental Modelling, 2017
    Co-Authors: D.t. Mihailović, I. Balaž, D. Kapor
    Abstract:

    Abstract In this chapter we consider the concept of heterarchy in Biochemical Substance exchange in a diffusively coupled ring of cells. We first consider the observational heterarchy consisting of two sets of intralayer maps, called Intent-perspective and Extent-perspective, and interlayer operations using the formalism of the Category Theory. Since the Biochemical Substance exchange processes in a cell are defined as diffusion-like manner, looking from the Intent-perspective and Extent-perspective in a cell we address the synchronization of the passive and active coupling for two cells using the generalized logistic equation by the affinity. We perform simulations of active coupling in a multicell system. Finally, we discuss the stability of Biochemical Substance exchange in such a system using the Lyapunov coefficient.

  • Computing the threshold of the influence of intercellular nanotubes on cell-to-cell communication integrity
    Chaos Solitons & Fractals, 2016
    Co-Authors: D.t. Mihailović, I. Balaž, Vladimir Kostić, Darko Kapor
    Abstract:

    Abstract We explore how the Biochemical Substance exchange through tunneling nanotubes (TNTs) affects the functional stability of a multicellular system. We focus on two questions: whether TNTs can either stabilize or destabilize intercellular communication governed by gap junctions (GJs)? and how to determine the threshold at which influence of TNTs destabilize GJ-mediated communication? The goal of this article is to introduce the way in which the concept of pseudospectra can be used to provide the answers.

  • Complexity and asymptotic stability in the process of Biochemical Substance exchange in a coupled ring of cells
    Chaos Solitons & Fractals, 2014
    Co-Authors: D.t. Mihailović, I. Balaž, Vladimir Kostić, Ljiljana Cvetković
    Abstract:

    Abstract We have considered the complexity and asymptotic stability in the process of Biochemical Substance exchange in a coupled ring of cells. We have used coupled maps to model this process. It includes the coupling parameter, cell affinity and environmental factor as master parameters of the model. We have introduced: (i) the Lempel–Ziv complexity spectrum and (ii) the Lempel–Ziv complexity spectrum highest value to analyze the dynamics of two cell model. The asymptotic stability of this dynamical system using an eigenvalue-based method has been considered. Using these complexity measures we have noticed an “island” of low complexity in the space of the master parameters for the weak coupling. We have explored how stability of the equilibrium of the Biochemical Substance exchange in a multi-cell system ( N  = 100) is influenced by the changes in the master parameters of the model for the weak and strong coupling. We have found that in highly chaotic conditions there exists space of master parameters for which the process of Biochemical Substance exchange in a coupled ring of cells is stable.

  • A numerical study of synchronization in the process of Biochemical Substance exchange in a diffusively coupled ring of cells
    Central European Journal of Physics, 2013
    Co-Authors: D.t. Mihailović, I. Balaž, Ilija Arsenić
    Abstract:

    In this paper we numerically investigate a model of a diffusively coupled ring of cells. To model the dynamics of individual cells we propose a map with cell affinity, which is a generalization of the logistic map. First, the basic features of a one-cell system are studied in terms of the Lyapunov exponent, Kolmogorov complexity and Sample Entropy. Second, the notion of observational heterarchy, which is a perpetual negotiation process between different levels of the description of a phenomenon, is reviewed. After these preliminaries, we study how the active coupling induced by the consideration of the observational heterarchy modifies the synchronization property of the model with N=100 cells. It is shown numerically that the active coupling enhances synchronization of Biochemical Substance exchange in several different conditions of cell affinity.

  • FORMING THE FUNCTIONAL TIME IN PROCESS OF Biochemical Substance EXCHANGE BETWEEN CELLS IN A MULTICELLULAR SYSTEM
    Modern Physics Letters B, 2012
    Co-Authors: D.t. Mihailović, I. Balaž
    Abstract:

    In this paper, we shortly summarized current attitudes about time in biology and then we considered the functional time and the way of its emergence. To illustrate that, we chose the simulation of forming the functional time in the process of Biochemical Substance exchange between three cells in a multicellular system. For that purpose π-cell coordinate system is introduced. Finally, we established a functional time barcode which is a representation of system states through the chronological time, which shows data about the process of intercellular Biochemical Substance exchange to which it attaches. It represents states by varying the widths and spaces of parallel lines, where system is either synchronized or not.

I. Balaž - One of the best experts on this subject based on the ideXlab platform.

  • Heterarchy and Biochemical Substance exchange in a diffusively coupled ring of cells
    Developments in Environmental Modelling, 2017
    Co-Authors: D.t. Mihailović, I. Balaž, D. Kapor
    Abstract:

    Abstract In this chapter we consider the concept of heterarchy in Biochemical Substance exchange in a diffusively coupled ring of cells. We first consider the observational heterarchy consisting of two sets of intralayer maps, called Intent-perspective and Extent-perspective, and interlayer operations using the formalism of the Category Theory. Since the Biochemical Substance exchange processes in a cell are defined as diffusion-like manner, looking from the Intent-perspective and Extent-perspective in a cell we address the synchronization of the passive and active coupling for two cells using the generalized logistic equation by the affinity. We perform simulations of active coupling in a multicell system. Finally, we discuss the stability of Biochemical Substance exchange in such a system using the Lyapunov coefficient.

  • Computing the threshold of the influence of intercellular nanotubes on cell-to-cell communication integrity
    Chaos Solitons & Fractals, 2016
    Co-Authors: D.t. Mihailović, I. Balaž, Vladimir Kostić, Darko Kapor
    Abstract:

    Abstract We explore how the Biochemical Substance exchange through tunneling nanotubes (TNTs) affects the functional stability of a multicellular system. We focus on two questions: whether TNTs can either stabilize or destabilize intercellular communication governed by gap junctions (GJs)? and how to determine the threshold at which influence of TNTs destabilize GJ-mediated communication? The goal of this article is to introduce the way in which the concept of pseudospectra can be used to provide the answers.

  • Complexity and asymptotic stability in the process of Biochemical Substance exchange in a coupled ring of cells
    Chaos Solitons & Fractals, 2014
    Co-Authors: D.t. Mihailović, I. Balaž, Vladimir Kostić, Ljiljana Cvetković
    Abstract:

    Abstract We have considered the complexity and asymptotic stability in the process of Biochemical Substance exchange in a coupled ring of cells. We have used coupled maps to model this process. It includes the coupling parameter, cell affinity and environmental factor as master parameters of the model. We have introduced: (i) the Lempel–Ziv complexity spectrum and (ii) the Lempel–Ziv complexity spectrum highest value to analyze the dynamics of two cell model. The asymptotic stability of this dynamical system using an eigenvalue-based method has been considered. Using these complexity measures we have noticed an “island” of low complexity in the space of the master parameters for the weak coupling. We have explored how stability of the equilibrium of the Biochemical Substance exchange in a multi-cell system ( N  = 100) is influenced by the changes in the master parameters of the model for the weak and strong coupling. We have found that in highly chaotic conditions there exists space of master parameters for which the process of Biochemical Substance exchange in a coupled ring of cells is stable.

  • A numerical study of synchronization in the process of Biochemical Substance exchange in a diffusively coupled ring of cells
    Central European Journal of Physics, 2013
    Co-Authors: D.t. Mihailović, I. Balaž, Ilija Arsenić
    Abstract:

    In this paper we numerically investigate a model of a diffusively coupled ring of cells. To model the dynamics of individual cells we propose a map with cell affinity, which is a generalization of the logistic map. First, the basic features of a one-cell system are studied in terms of the Lyapunov exponent, Kolmogorov complexity and Sample Entropy. Second, the notion of observational heterarchy, which is a perpetual negotiation process between different levels of the description of a phenomenon, is reviewed. After these preliminaries, we study how the active coupling induced by the consideration of the observational heterarchy modifies the synchronization property of the model with N=100 cells. It is shown numerically that the active coupling enhances synchronization of Biochemical Substance exchange in several different conditions of cell affinity.

  • FORMING THE FUNCTIONAL TIME IN PROCESS OF Biochemical Substance EXCHANGE BETWEEN CELLS IN A MULTICELLULAR SYSTEM
    Modern Physics Letters B, 2012
    Co-Authors: D.t. Mihailović, I. Balaž
    Abstract:

    In this paper, we shortly summarized current attitudes about time in biology and then we considered the functional time and the way of its emergence. To illustrate that, we chose the simulation of forming the functional time in the process of Biochemical Substance exchange between three cells in a multicellular system. For that purpose π-cell coordinate system is introduced. Finally, we established a functional time barcode which is a representation of system states through the chronological time, which shows data about the process of intercellular Biochemical Substance exchange to which it attaches. It represents states by varying the widths and spaces of parallel lines, where system is either synchronized or not.

Ali Mobasheri - One of the best experts on this subject based on the ideXlab platform.

D. Kapor - One of the best experts on this subject based on the ideXlab platform.

  • Heterarchy and Biochemical Substance exchange in a diffusively coupled ring of cells
    Developments in Environmental Modelling, 2017
    Co-Authors: D.t. Mihailović, I. Balaž, D. Kapor
    Abstract:

    Abstract In this chapter we consider the concept of heterarchy in Biochemical Substance exchange in a diffusively coupled ring of cells. We first consider the observational heterarchy consisting of two sets of intralayer maps, called Intent-perspective and Extent-perspective, and interlayer operations using the formalism of the Category Theory. Since the Biochemical Substance exchange processes in a cell are defined as diffusion-like manner, looking from the Intent-perspective and Extent-perspective in a cell we address the synchronization of the passive and active coupling for two cells using the generalized logistic equation by the affinity. We perform simulations of active coupling in a multicell system. Finally, we discuss the stability of Biochemical Substance exchange in such a system using the Lyapunov coefficient.

Ilija Arsenić - One of the best experts on this subject based on the ideXlab platform.

  • A numerical study of synchronization in the process of Biochemical Substance exchange in a diffusively coupled ring of cells
    Central European Journal of Physics, 2013
    Co-Authors: D.t. Mihailović, I. Balaž, Ilija Arsenić
    Abstract:

    In this paper we numerically investigate a model of a diffusively coupled ring of cells. To model the dynamics of individual cells we propose a map with cell affinity, which is a generalization of the logistic map. First, the basic features of a one-cell system are studied in terms of the Lyapunov exponent, Kolmogorov complexity and Sample Entropy. Second, the notion of observational heterarchy, which is a perpetual negotiation process between different levels of the description of a phenomenon, is reviewed. After these preliminaries, we study how the active coupling induced by the consideration of the observational heterarchy modifies the synchronization property of the model with N=100 cells. It is shown numerically that the active coupling enhances synchronization of Biochemical Substance exchange in several different conditions of cell affinity.