Heterarchy and biochemical substance exchange in a diffusively coupled ring of cells

Author(s):  
D.T. Mihailović ◽  
I. Balaž ◽  
D. Kapor
Biosensors ◽  
2020 ◽  
Vol 11 (1) ◽  
pp. 11
Author(s):  
Ali Mobasheri

A biosensor is an analytical device used for the real-time detection and measurement of a chemical or biochemical substance [...]


Open Physics ◽  
2013 ◽  
Vol 11 (4) ◽  
Author(s):  
Dragutin Mihailović ◽  
Igor Balaž ◽  
Ilija Arsenić

AbstractIn 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.


Author(s):  
Tomoki Hayashi ◽  
Masahiro Takinoue ◽  
Hiroaki Onoe

2012 ◽  
Vol 26 (16) ◽  
pp. 1250099
Author(s):  
DRAGUTIN T. MIHAILOVIĆ ◽  
IGOR BALAŽ

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.


Open Physics ◽  
2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Dragutin T. Mihailović ◽  
Gordan Mimić ◽  
Emilija Nikolić-Djorić ◽  
Ilija Arsenić

AbstractWe propose novel metrics based on the Kolmogorov complexity for use in complex system behavior studies and time series analysis. We consider the origins of the Kolmogorov complexity and discuss its physical meaning. To get better insights into the nature of complex systems and time series analysis we introduce three novel measures based on the Kolmogorov complexity: (i) the Kolmogorov complexity spectrum, (ii) the Kolmogorov complexity spectrum highest value and (iii) the overall Kolmogorov complexity. The characteristics of these measures have been tested using a generalized logistic equation. Finally, the proposed measures have been applied to different time series originating from: a model output (the biochemical substance exchange in a multi-cell system), four different geophysical phenomena (dynamics of: river flow, long term precipitation, indoor


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