2006
DOI: 10.1016/j.physa.2006.03.015
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Inferring mixed-culture growth from total biomass data in a wavelet approach

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Cited by 5 publications
(11 citation statements)
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“…Wavelet transform spectral analysis is a valuable approach in evaluating spatial and temporal patterns in ecology, and was proven successful in deriving the relative contributions of bacterial species-specific metabolism from continuous measurements of Eh (Bradshaw and Spies, 1992 ; Ibarra-Junquera et al, 2006 ; Escalante-Minakata et al, 2009 ). Temporal Eh measurements in this study were analyzed following a continuous Morlet wavelet transformation sensu Bradshaw and Spies ( 1992 ).…”
Section: Methodsmentioning
confidence: 99%
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“…Wavelet transform spectral analysis is a valuable approach in evaluating spatial and temporal patterns in ecology, and was proven successful in deriving the relative contributions of bacterial species-specific metabolism from continuous measurements of Eh (Bradshaw and Spies, 1992 ; Ibarra-Junquera et al, 2006 ; Escalante-Minakata et al, 2009 ). Temporal Eh measurements in this study were analyzed following a continuous Morlet wavelet transformation sensu Bradshaw and Spies ( 1992 ).…”
Section: Methodsmentioning
confidence: 99%
“…However, increasing evidence suggests that continuous measurements of redox potential (Eh) are valuable for tracking bacterial metabolic activities in time in laboratory microcosms (e.g. Ibarra-Junquera et al, 2006 ; Rabaey et al, 2007 ; Escalante-Minakata et al, 2009 ; Hunting and van der Geest, 2011 ). Bacterial membrane-bound and extracellular compounds create species specific, redox mediator dependent conditions at the surface of redox electrodes, which are visible as species specific continuous Eh measurements (Brasca et al, 2007 ; Reichart et al, 2007 ; Michelon et al, 2010 ; Tachon et al, 2010 ; Hunting and Kampfraath, 2013 ).…”
Section: Introductionmentioning
confidence: 99%
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“…One can notice that we can determine a range of scales where the HE is the same up to the first decimal digit independently of the number of vanishing moments of the used wavelet. In the case of the first crossing, HE is constant only over two log scales (5)(6), whereas for the second crossing it stays constant over three log scales (3)(4)(5) Table 1: The Hölder exponents obtained in two different ranges of scales R1 and R2 for the first (subindex f ) and the second (subindex s) crossing singularities, respectively, with the wavelet functions corresponding to the second (G2), third (G3) and fourth (G4) derivatives of the Gaussian function.…”
Section: A Case Study: Two Haldane and One Monod Speciesmentioning
confidence: 98%
“…We will display results presenting the same total biomass signal analyzed with wavelets of the Gaussian family for different vanishing moments, from two to four. In addition, as in our previous work [3], we use the wavelet transform modulus maxima procedure introduced by Mallat and Hwang [2] that provides a precise location of the singularity and a clear cut measure of its Hölder exponent (HE) from the scaling of the wavelet transforms along the so-called modulus maxima lines on which the transforms reach local maxima with respect to the position coordinate. For more details, the reader is directed to the works [2] and [3].…”
Section: Wavelet Analysismentioning
confidence: 99%