Cycles, phase synchronization, and entrainment in single-species phytoplankton populations

Massie, Thomas M.; Blasius, Bernd; Weithoff, Guntram; Gaedke, Ursula; Fussmann, Gregor F.

doi:10.1073/pnas.0908725107

Cited by 60 publications

(53 citation statements)

References 34 publications

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“…Thus juvenile growth is slow and juvenile mortality is high, adult fecundity is high and adult mortality is low, and the juvenile/adult biomass ratio is high . Interestingly, there exists substantial experimental evidence that unicellular organisms such as bacteria, yeast, and phytoplankton can exhibit adult-driven cohort cycles (Massie et al 2010). In particular, Massie et al (2010) provided experimental evidence for the presence of adult-driven cycles in Chlorella vulgaris and other phytoplankton populations (Fig.…”

Section: Ontogenetic Asymmetry and Population Dynamicsmentioning

confidence: 99%

Symmetry breaking in ecological systems through different energy efficiencies of juveniles and adults

Persson

Roos

2013

Ecology

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Abstract. Ontogenetic development is a fundamental aspect of the life history of all organisms and has major effects on population and community dynamics. We postulate a general conceptual framework for understanding these effects and claim that two potential energetics bottlenecks at the level of the individual organism-the rate by which it develops and the rate by which it reproduces-form a fundamental route to symmetry-breaking in ecological systems, leading to ontogenetic asymmetry in energetics. Unstructured ecological theory, which ignores ontogenetic development, corresponds to a limiting case only, in which mass-specific rates of biomass production through somatic growth and reproduction, and biomass loss through mortality, are independent of body size (ontogenetic symmetry). Ontogenetic symmetry results in development and reproduction being limited to the same extent by food density. In all other cases, symmetry-breaking occurs. Ontogenetic asymmetry results in increases in juvenile, adult, or even total biomass in response to mortality. At the community level, this gives rise to alternative stable states via predator-induced shifts in prey size distributions. Ontogenetic asymmetry furthermore leads to two distinct types of cycles in population dynamics, depending on whether development or reproduction is most energy limited. We discuss the mechanisms giving rise to these phenomena and the empirical support for them. We conclude that the concepts of ontogenetic symmetry and ontogenetic asymmetry form a novel and general organizing principle on which future ecological theory should be developed.

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Section: Ontogenetic Asymmetry and Population Dynamicsmentioning

confidence: 99%

Symmetry breaking in ecological systems through different energy efficiencies of juveniles and adults

Persson

Roos

2013

Ecology

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“…Collective synchronization is an ubiquitous phenomenon that pervades nature at every scale, and un- * Electronic address: simona.olmi@fi.isc.cnr.it derlies essential processes of life; it is a central process observed in a spectacular range of systems, such as pendulum clocks [15], pedestrians on a bridge locking their gait [16], Josephson junctions [17], the beating of the heart [18], circadian clocks in the brain [19], chemical oscillations [20], metabolic oscillations in yeast [21], life cycles of phytoplankton [22]. In particular, synchronized oscillations have received particular attention in neuroscience because they are prominent in the cortex of the awake brain during attention and are believed to be involved in higher level processes, such as sensory binding, awareness, memory storage and replay, and even consciousness [23].…”

Section: Introductionmentioning

confidence: 99%

Chimera states in coupled Kuramoto oscillators with inertia

Olmi

2015

Chaos: An Interdisciplinary Journal of Nonlinear Science

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The dynamics of two symmetrically coupled populations of rotators is studied for different values of the inertia. The system is characterized by different types of solutions, which all coexist with the fully synchronized state. At small inertia the system is no more chaotic and one observes mainly quasiperiodic chimeras, while the usual (stationary) chimera state is not anymore observable. At large inertia one observes two different kind of chaotic solutions with broken symmetry: the intermittent chaotic chimera, characterized by a synchronized population and a population displaying a turbulent behaviour, and a second state where the two populations are both chaotic but whose dynamics adhere to two different macroscopic attractors. The intermittent chaotic chimeras are characterized by a finite life-time, whose duration increases as a power-law with the system size and the inertia value. Moreover, the chaotic population exhibits clear intermittent behavior, displaying a laminar phase where the two populations tend to synchronize, and a turbulent phase where the macroscopic motion of one population is definitely erratic. In the thermodynamic limit these states survive for infinite time and the laminar regimes tends to disappear, thus giving rise to stationary chaotic solutions with broken symmetry contrary to what observed for chaotic chimeras on a ring geometry.In 2002, simulations of abstract mathematical models revealed the existence of counterintuitive "chimera states", where an oscillator population splits into two parts, with one synchronizing and the other oscillating incoherently, even though the oscillators are identical. Since then, these counterintuitive states have become a relevant subject of investigation for experimental and theoretical scientists active in different fields, as testified by the rapidly increasing number of publications in recent years (for a review see [1, 2]). In this paper we analyze novel chimera states emerging in two symmetrically coupled populations of oscillators with inertia. In particular, the introduction of inertia allows the oscillators to synchronize via the adaptation of their own frequencies, in analogy with the mechanism observed in the firefly Pteroptix malaccae [3]. The modification of the classical Kuramoto model with the addition of an inertial term results in first order synchronization transitions and complex hysteretic phenomena [4][5][6][7][8][9]. Furthermore, networks of rotators have recently found applications in different technological contexts, including disordered arrays of Josephson junctions [10] and electrical power grids [11][12][13][14] and they could also be relevant for micro-electromechanical systems and optomechanical crystals, where chimeras and other partially disordered states likely play an important role with far reaching ramifications.

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“…For example, periodic behaviour was predicted in a chemostat model using Monod kinetics when regular oscillations were intentionally induced (Massie et al 2010;Guo and Chen 2009). Further, profound population density oscillations were observed in Streptococcus pneumoniae grown in a chemostat (Cornejo et al 2009), which were attributed to the autocatalytic production of a toxin that lyses members of the clone producing the toxin (i.e.…”

Section: Discussionmentioning

confidence: 97%

Conditional confined oscillatory dynamics of Escherichia coli strain K12-MG1655 in chemostat systems

Ofiţeru

Ferdeş

Knapp

et al. 2011

Appl Microbiol Biotechnol

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A series of continuous- and sequencing-batch reactor experiments were performed to assess the growth dynamics of Escherichia coli strain K12-MG1655 in chemostat systems. Previous mathematical predictions and early experimental results had shown that confined oscillatory dynamics ensue in bioreactor populations, which relates to "group birth and death" events within the population. New results are reported here that generally verify the predictions of the model and show that confined oscillations occur under different initial conditions, but the characteristics of the oscillatory dynamics vary as a function of the hydraulic retention time (HRT). Bioreactors were operated at HRTs ranging from 2.7 to 35 h and, regardless of initial conditions or the imposition of transient operational instabilities, highly patterned oscillations developed when HRT was between ∼3 and 8 h. However, outside of this range, bioreactor populations tended to form biofilms on the reactor walls (although the majority of the cells remained suspended in the bulk solution) and stable oscillations were not seen in the bulk phase. This suggests that alternate operating "states" might exist in chemostat populations with biofilm formation and non-homogenous spatial growth influencing "system" dynamics at very low and high HRTs. Although the model accurately predicts a confined dynamic equilibrium for mid-range HRT operations, experimental data show that model predictions do not extend outside of this range, when an alternate stable-state seems to be attained.

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Cycles, phase synchronization, and entrainment in single-species phytoplankton populations

Cited by 60 publications

References 34 publications

Symmetry breaking in ecological systems through different energy efficiencies of juveniles and adults

Symmetry breaking in ecological systems through different energy efficiencies of juveniles and adults

Chimera states in coupled Kuramoto oscillators with inertia

Conditional confined oscillatory dynamics of Escherichia coli strain K12-MG1655 in chemostat systems

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