Traveling waves in yeast extract and in cultures of Dictyostelium discoideum

Müller, Stefan; Mair, Thomas; Steinbock, Oliver

doi:10.1016/s0301-4622(98)00121-5

Cited by 57 publications

(27 citation statements)

References 43 publications

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“…For example, phosphofructokinase is activated by its proximal product, ADP, and inhibited by its substrate and distal product, ATP. Both temporal oscillations in NADH concentration and traveling NADH waves have been observed in macroscopic whole cell extracts (9)(10)(11)(12). Theoretical studies have predicted the existence and properties of spatial glycolytic patterns in eukaryotic cells (13)(14)(15)(16)(17)(18).…”

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confidence: 99%

RETRACTED: Dissipative metabolic patterns respond during neutrophil transmembrane signaling

Petty

Kindzelskii

2001

Proc. Natl. Acad. Sci. U.S.A.

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Self-organization is a common theme in biology. One mechanism of self-organization is the creation of chemical patterns by the diffusion of chemical reactants and their nonlinear interactions. We have recently observed sustained unidirectional traveling chemical redox [NAD(P)H ؊ NAD(P) ؉ ] waves within living polarized neutrophils. The present study shows that an intracellular metabolic wave responds to formyl peptide receptor agonists, but not antagonists, by splitting into two waves traveling in opposite directions along a cell's long axis. Similar effects were noted with other neutrophilactivating substances. Moreover, when cells were exposed to an N-formyl-methionyl-leucyl-phenylalanine (FMLP) gradient whose source was perpendicular to the cell's long axis, cell metabolism was locally perturbed with reorientation of the pattern in a direction perpendicular to the initial cellular axis. Thus, extracellular activating signals and the signals' spatial cues are translated into distinct intracellular dissipative structures.cell polarity ͉ nonequilibrium thermodynamics ͉ chemotaxis L iving cells continuously exchange matter and energy with their environment; they are open thermodynamic systems far from equilibrium (1, 2). Nonequilibrium conditions permit the appearance of dissipative structures, such as chemical concentration oscillations and chemical patterns. Dissipative structures use some of the energy absorbed from the environment to create order in a system (2). Chemical oscillators and chemical wave propagation, which do not violate the Second Law of Thermodynamics because they occur far from equilibrium, are well known in physical chemistry (2-4). Temporal oscillations in NAD(P)H (NADH ϩ NADPH) autofluorescence have been observed in living cells (5), including macrophages, monocytes, and neutrophils (6-8). These oscillations are the result of feedback activation and inhibition of glycolytic enzymes, especially phosphofructokinase (5, 9). For example, phosphofructokinase is activated by its proximal product, ADP, and inhibited by its substrate and distal product, ATP. Both temporal oscillations in NADH concentration and traveling NADH waves have been observed in macroscopic whole cell extracts (9-12). Theoretical studies have predicted the existence and properties of spatial glycolytic patterns in eukaryotic cells (13)(14)(15)(16)(17)(18). This has been recently confirmed by our group for NAD(P)H and pH (19). The present study tests the hypothesis that metabolic waves in living cells respond to extracellular signals. To observe these dissipative structures, we imaged microscopically NAD(P)H autofluorescence. We now report changes in the physical properties of traveling NAD(P)H waves in neutrophils during activation and signaling that reflect environmental orientational cues. These metabolic patterns are consistent with the ideas of Turing, Prigogine, Hess, and others concerning the potential role of dissipative chemical structures in biological function. Cells. Human peripheral blood neutrophils were purifi...

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confidence: 99%

RETRACTED: Dissipative metabolic patterns respond during neutrophil transmembrane signaling

Petty

Kindzelskii

2001

Proc. Natl. Acad. Sci. U.S.A.

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“…As the life cycle of Dd incorporates a number of basic processes that occur throughout developmental biology, this cellular slime mould has been studied for a long time as a model system for biological pattern formation. Taking into account the experimental data for the biological processes that occur in this organism (see, for example, [1], [3], [4], [6], [17]), several studies have analyzed the developmental cycle of Dd by means of different mathematical models (see, for instance, [2], [5], [9], [10], [12], [13], [14], [19], [20], [23]). It is well established that, upon starvation conditions, some randomly located individual Dd cells, called pacemakers, begin to secrete periodically a chemical substance (cAMP ≡ cyclic adenosine 3'5'-monophosphate) which propagates in the media in the form of some concentric waves that after some time evolve to a rather peculiar spiral wavelike pattern.…”

Section: Introductionmentioning

confidence: 99%

Singular perturbation analysis of cAMP signalling in Dictyostelium discoideum aggregates

Liţcanu

Velázquez

2006

J. Math. Biol.

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In this paper, we use singular perturbation methods to study the structure of travelling waves for some reaction-diffusion models obtained from the Martiel-Goldbeter and Goldbeter-Segel's models of cAMP signalling in Dictyostelium discoideum. As a consequence, we derive analytic formulae for quantities like wave speed, maximum concentration and other magnitudes in terms of the different biochemical constants that appear in the model. (2000): 35B25, 35K57, 92C37 Mathematics Subject Classification

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“…They are used as model for studying cell motility and transduction, cell-type differentiation, and developmental processes. Taking into account the experimental data for the biological processes that occur in this organism (see, for example, [3], [10], [11], [15], [32], [36], [40]), there have been different mathematical models describing the developmental cycle of Dd (see, for instance, [7], [13], [19], [20], [28], [29], [30], [37], [38], [42], [47]). …”

Section: Biological Backgroundmentioning

confidence: 99%

Dynamics of Propagation Phenomena in Biological Pattern Formation

Liţcanu

Velázquez

2006

Math. Model. Nat. Phenom.

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Abstract. A large variety of complex spatio-temporal patterns emerge from the processes occurring in biological systems, one of them being the result of propagating phenomena (see, for example [35]). This wave-like structures can be modelled via reaction-diffusion equations. If a solution of a reaction-diffusion equation represents a travelling wave, the shape of the solution will be the same at all time and the speed of propagation of this shape will be a constant. In this paper we focus on two reaction-diffusion models for the dynamics of the travelling waves appearing during the process of the cells aggregation. Using singular perturbation methods to study the structure of solutions, we can derive analytic formulae (like for the wave speed, for example) in terms of the different biochemical constants that appear in the models. The goal is to point out if the models can describe in quantitative manner the experimental observations.

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Traveling waves in yeast extract and in cultures of Dictyostelium discoideum

Cited by 57 publications

References 43 publications

RETRACTED: Dissipative metabolic patterns respond during neutrophil transmembrane signaling

RETRACTED: Dissipative metabolic patterns respond during neutrophil transmembrane signaling

Singular perturbation analysis of cAMP signalling in Dictyostelium discoideum aggregates

Dynamics of Propagation Phenomena in Biological Pattern Formation

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