Non-equilibrium thermodynamics of Lotka-Volterra ecosystems: Stability and evolution

Chakrabarti, C. G.; Ghosh, Sutapa; Bhadra, Syamali

doi:10.1007/bf00700629

Cited by 12 publications

(13 citation statements)

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“…5,28 The necessary erosion of enantiomeric purity when a reversible, closed reaction system approaches its equilibrium state, though, might be overcome under natural conditions as the earths ecosystem might have greater resemblance to a chemical flow reactor run under nonequilibrium conditions rather than to a closed system. 29 Clearly, the Soai reaction could serve as a ''proof of concept'' for the possible role of nonlinear kinetics in engendering biological homochirality. Deriving from Kagan's nonlinear ML 2 model for catalyst aggregation, 30 modified to account for autocatalysis, Blackmond and Brown explained the remarkable findings for the Soai reaction by assuming that both homo-and heterochiral product, i.e.…”

Section: Resultsmentioning

confidence: 99%

Demonstration of spontaneous chiral symmetry breaking in asymmetric Mannich and Aldol reactions

et al. 2007

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Spontaneous symmetry breaking in reactive systems, known as a rare physical phenomenon and for the Soai autocatalytic irreversible reaction, might in principle also occur in other, more common asymmetric reactions when the chiral product is capable to promote its formation and an element of "nonlinearity" is involved in the reaction scheme. Such phenomena are long sought after in chemistry as a possible explanation for the biological homochirality of biomolecules. We have investigated homogeneous organic stereoselective Mannich and Aldol reactions, in which the product is capable to form H-bridged complexes with the prochiral educt, and found by applying NMR spectroscopy, HPLC analysis, and optical rotation measurements 0.3-50.8% of random product enantiomeric excess under essentially achiral reaction conditions. These findings imply a hitherto overlooked mechanism for spontaneous symmetry breaking and, hence, a novel approach to the problem of absolute asymmetric synthesis and could have also potential significance for the conundrum of homochirality.

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Section: Resultsmentioning

confidence: 99%

Demonstration of spontaneous chiral symmetry breaking in asymmetric Mannich and Aldol reactions

et al. 2007

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“…Its expression, given by (3.2), represents the distance of the system from thermodynamic equilibrium. It acts as a thermodynamic force driving the system from the equilibrium state [1,2]. 7.…”

Section: Resultsmentioning

confidence: 99%

“…In recent years, great efforts have gone into explaining the structure and function of complex ecosystems from the point of view of non-equilibrium thermodynamics [1][2][3][4][5][6][7]. Ecosystems may be considered as open systems exchanging energy, nutrients, and biomass with the environment.…”

Section: Introductionmentioning

confidence: 99%

“…Besides the balance equations of momentum, energy and mass of all components of an ecosystem, the concept of entropy is inevitable in the understanding of ecosystems. Entropy and entropy production play a vital role in the understanding of the stability and evolution of complex ecosystems [2][3][4][5]. Another important aspect of entropy is the characterization of the organization of a system that plays a significant role in the evolution of a biological system.…”

Section: Introductionmentioning

confidence: 99%

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Maximum-entropy principle: ecological organization and evolution

Chakrabarti

Ghosh

2009

J Biol Phys

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In the present paper, we have first studied the role of the maximum-entropy principle to explain the concept of organization of a physical system in the decreasing law of entropy with the increase of external constraints imposed on the system. We have then considered an open ecosystem (living) and determined a quantitative measure of ecological organization from the consideration of the thermodynamics of irreversible processes. Finally, we have tried to explain the evolution of the ecosystem in the light of Prigogine's principle of "order through fluctuation."

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“…Concerning long-term successions, many researches (Sukachev 1972;Kogan 1977;Tilman 1990;Rabotnov 1992) emphasized essential role of competition for this processes. Use of models of competition of the Volterra type (Lepš and Prach 1981;Chakrabarti et al 1995;Chernyshenko 1995;Weis et al 2007) for description of succession process looks as very reasonable. Additionally to competition, there is evident positive influence of previous stages for next ones.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation Model Of Successions In Ecosystems

Чернышенко¹,

Ruzich²

2013

ECMS 2013 Proceedings Edited By: Webjorn Rekdalsbakken, Robin T. Bye, Houxiang Zhang

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Models of the long-term ecological successions are considered. Succession process is considered as step-bystep changing of dominant association. The model of open Eigen's hypercycle has been used for modeling of the process. Qualitative analysis for three-dimension case has been carried out, and local bifurcations have been investigated. The process of succession can be interpreted as system's choosing a proper level of complexity (or dimension) depending on the capacity of environment (the size of ecological niche). Connections between changing a state of the system and bifurcations in phase space is shown.

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Non-equilibrium thermodynamics of Lotka-Volterra ecosystems: Stability and evolution

Cited by 12 publications

References 10 publications

Demonstration of spontaneous chiral symmetry breaking in asymmetric Mannich and Aldol reactions

Demonstration of spontaneous chiral symmetry breaking in asymmetric Mannich and Aldol reactions

Maximum-entropy principle: ecological organization and evolution

Bifurcation Model Of Successions In Ecosystems

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