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Symmetry Restoring Bifurcation in Collective Decision-Making
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Matematiska institutionen.
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Matematiska institutionen.
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Matematiska institutionen.
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2014 (Engelska)Ingår i: PloS Computational Biology, ISSN 1553-734X, E-ISSN 1553-7358, Vol. 10, nr 12, s. e1003960-Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

How social groups and organisms decide between alternative feeding sites or shelters has been extensively studied both experimentally and theoretically. One key result is the existence of a symmetry-breaking bifurcation at a critical system size, where there is a switch from evenly distributed exploitation of all options to a focussed exploitation of just one. Here we present a decision-making model in which symmetry-breaking is followed by a symmetry restoring bifurcation, whereby very large systems return to an even distribution of exploitation amongst options. The model assumes local positive feedback, coupled with a negative feedback regulating the flow toward the feeding sites. We show that the model is consistent with three different strains of the slime mold Physarum polycephalum, choosing between two feeding sites. We argue that this combination of feedbacks could allow collective foraging organisms to react flexibly in a dynamic environment.

Ort, förlag, år, upplaga, sidor
2014. Vol. 10, nr 12, s. e1003960-
Nationell ämneskategori
Matematisk analys
Identifikatorer
URN: urn:nbn:se:uu:diva-312747OAI: oai:DiVA.org:uu-312747DiVA, id: diva2:1064601
Forskningsfinansiär
EU, Europeiska forskningsrådet, IDCAB 220/104702003Tillgänglig från: 2017-01-12 Skapad: 2017-01-12 Senast uppdaterad: 2017-11-29
Ingår i avhandling
1. Mathematical modelling approach to collective decision-making
Öppna denna publikation i ny flik eller fönster >>Mathematical modelling approach to collective decision-making
2017 (Engelska)Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

In everyday situations individuals make decisions. For example, a tourist usually chooses a crowded or recommended restaurant to have dinner. Perhaps it is an individual decision, but the observed pattern of decision-making is a collective phenomenon. Collective behaviour emerges from the local interactions that give rise to a complex pattern at the group level. In our example, the recommendations or simple copying the choices of others make a crowded restaurant even more crowded. The rules of interaction between individuals are important to study. Such studies should be complemented by biological experiments. Recent studies of collective phenomena in animal groups help us to understand these rules and develop mathematical models of collective behaviour. The most important communication mechanism is positive feedback between group members, which we observe in our example. In this thesis, we use a generic experimentally validated model of positive feedback to study collective decision-making.

The first part of the thesis is based on the modelling of decision-making associated to the selection of feeding sites. This has been extensively studied for ants and slime moulds. The main contribution of our research is to demonstrate how such aspects as "irrationality", speed and quality of decisions can be modelled using differential equations. We study bifurcation phenomena and describe collective patterns above critical values of a bifurcation points in mathematical and biological terms. In the second part, we demonstrate how the primitive unicellular slime mould Physarum Polycephalum provides an easy test-bed for theoretical assumptions and model predictions about decision-making. We study its searching strategies and model decision-making associated to the selection of food options. We also consider the aggregation model to investigate the fractal structure of Physarum Polycephalum plasmodia.

Ort, förlag, år, upplaga, sidor
Uppsala: Department of Mathematics, 2017. s. 42
Serie
Uppsala Dissertations in Mathematics, ISSN 1401-2049 ; 99
Nyckelord
collective behaviour, collective decision-making, communication mechanisms, positive feedback, mathematical modelling, bifurcation phenomena, steady state solutions, symmetry breaking, symmetry restoring, diffusion-limited aggregation, fractal dimension
Nationell ämneskategori
Naturvetenskap
Identifikatorer
urn:nbn:se:uu:diva-314903 (URN)978-91-506-2624-7 (ISBN)
Disputation
2017-04-07, Siegbahnsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15 (Engelska)
Opponent
Handledare
Anmärkning

Fel serie i tryckt bok /Wrong series in the printed book

Tillgänglig från: 2017-03-16 Skapad: 2017-02-07 Senast uppdaterad: 2017-03-16

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Zabzina, NataliaSumpter, David J. T.Nicolis, Stamatios C.

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