GAME OF COORDINATION FOR BACTERIAL PATTERN FORMATION: A FINITE AUTOMATA MODELLING

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SRIVASTAVA G.; BHATTACHARYA S.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2013 | Volume:3 | Issue:4 Page(s): 299-316

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Title

GAME OF COORDINATION FOR BACTERIAL PATTERN FORMATION: A FINITE AUTOMATA MODELLING

Author(s)

SRIVASTAVA G. | BHATTACHARYA S. | Issue Writer Certificate

Keywords

COOPERATION

EMERGENCE

PATTERN FORMATION

ASSURANCE GAME

DETERMINISTIC FINITE AUTOMATA

GRAMMAR

Abstract

Bacterial colonies in nature are often required to evolve under harsh and hostile environmental growth conditions. In order to do so, bacteria work as a social formation and employ intricate communication capabilities to exchange information and interact cooperatively to form highly complex colonies, equipped with higher capabilities for adaptation to the environmental challenges. These colonies that could be observed as intricate spatial patterns are essentially the manifestation of bacterial self-organization resulting from such cooperative behavior. The information required by the bacteria for giving rise to the observed self-organized complex PATTERN FORMATION is generated through cooperative interactions, depending on and in response to the available growth conditions. Bacterial self-organization and colony formation, thus, appears as an instance of a social network, essentially created through communicative interactions. In this paper, we use concepts from game theory and informatics to describe the EMERGENCE of self-organization and consequent PATTERN FORMATION through communicative COOPERATION in Bacillus subtilis colonies. The EMERGENCE of cooperative regime is modelled as an ASSURANCE GAME, with the bacterial colonies as individual players. The game is played iteratively through cooperative communication, and mediated by exchange of information about the local environment between the different bacterial colonies comprising the system. The iteration causes the interactive system to grow and produce beautiful complex spatial patterns signaling the EMERGENCE of self-organization. As a formal description of the game, we model the EMERGENCE of this cooperative behavior as finite deterministic automata, whose transition function is informed by the ASSURANCE GAME pay-off.

Cites

MATHEMATICAL MODELLING FOR DICE FINDER GAME PROBLEM

References

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APA: Copy

SRIVASTAVA, G., & BHATTACHARYA, S.. (2013). GAME OF COORDINATION FOR BACTERIAL PATTERN FORMATION: A FINITE AUTOMATA MODELLING. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 3(4), 299-316. SID. https://sid.ir/paper/328284/en

Vancouver: Copy

SRIVASTAVA G., BHATTACHARYA S.. GAME OF COORDINATION FOR BACTERIAL PATTERN FORMATION: A FINITE AUTOMATA MODELLING. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2013;3(4):299-316. Available from: https://sid.ir/paper/328284/en

IEEE: Copy

G. SRIVASTAVA, and S. BHATTACHARYA, “GAME OF COORDINATION FOR BACTERIAL PATTERN FORMATION: A FINITE AUTOMATA MODELLING,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 3, no. 4, pp. 299–316, 2013, [Online]. Available: https://sid.ir/paper/328284/en

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