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  • The Royal Society  (2)
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  • The Royal Society  (2)
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  • 1
    Online Resource
    Online Resource
    The Royal Society ; 2022
    In:  Journal of The Royal Society Interface Vol. 19, No. 188 ( 2022-03)
    In: Journal of The Royal Society Interface, The Royal Society, Vol. 19, No. 188 ( 2022-03)
    Abstract: Patterns in nature are fascinating both aesthetically and scientifically. Alan Turing’s celebrated reaction–diffusion model of pattern formation from the 1950s has been extended to an astounding diversity of applications: from cancer medicine, via nanoparticle fabrication, to computer architecture. Recently, several authors have studied pattern formation in underlying networks, but thus far, controlling a reaction–diffusion system in a network to obtain a particular pattern has remained elusive. We present a solution to this problem in the form of an analytical framework and numerical algorithm for optimal control of Turing patterns in networks. We demonstrate our method’s effectiveness and discuss factors that affect its performance. We also pave the way for multidisciplinary applications of our framework beyond reaction–diffusion models.
    Type of Medium: Online Resource
    ISSN: 1742-5662
    Language: English
    Publisher: The Royal Society
    Publication Date: 2022
    detail.hit.zdb_id: 2156283-0
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  • 2
    Online Resource
    Online Resource
    The Royal Society ; 2020
    In:  Journal of The Royal Society Interface Vol. 17, No. 168 ( 2020-07), p. 20200174-
    In: Journal of The Royal Society Interface, The Royal Society, Vol. 17, No. 168 ( 2020-07), p. 20200174-
    Abstract: The progression of game theory from classical to evolutionary and spatial games provided a powerful means to study cooperation, and enabled a better understanding of general cooperation-promoting mechanisms. However, current standard models assume that at any given point players must choose either cooperation or defection, meaning that regardless of the spatial structure in which they exist, they cannot differentiate between their neighbours and adjust their behaviour accordingly. This is at odds with interactions among organisms in nature who are well capable of behaving differently towards different members of their communities. We account for this natural fact by introducing a new type of player—dubbed link players—who can adjust their behaviour to each individual neighbour. This is in contrast to more common node players whose behaviour affects all neighbours in the same way. We proceed to study cooperation in pure and mixed populations, showing that cooperation peaks at moderately low densities of link players. In such conditions, players naturally specialize in different roles. Node players tend to be either cooperators or defectors, while link players form social insulation between cooperative and defecting clusters by acting both as cooperators and defectors. Such fairly complex processes emerging from a simple model reflect some of the complexities observed in experimental studies on social behaviour in microbes and pave a way for the development of richer game models.
    Type of Medium: Online Resource
    ISSN: 1742-5689 , 1742-5662
    Language: English
    Publisher: The Royal Society
    Publication Date: 2020
    detail.hit.zdb_id: 2156283-0
    Location Call Number Limitation Availability
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