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Animals : an open access journal from MDPI2020; 10(2); 308; doi: 10.3390/ani10020308

Models Based on the Mitscherlich Equation for Describing Typical and Atypical Gas Production Profiles Obtained from In Vitro Digestibility Studies Using Equine Faecal Inoculum.

Abstract: Two models are proposed to describe atypical biphasic gas production profiles obtained from in vitro digestibility studies. The models are extensions of the standard Mitscherlich equation, comprising either two Mitscherlich terms or one Mitscherlich and one linear term. Two models that describe typical monophasic gas production curves, the standard Mitscherlich and the France model [a generalised Mitscherlich (root-) equation], were assessed for comparison. Models were fitted to 25 gas production profiles resulting from incubating feedstuffs with faecal from equines. Seventeen profiles displayed atypical biphasic patterns while the other eight displayed typical monophasic patterns. Models were evaluated using statistical measures of goodness-of-fit and by analysis of residuals. Good agreement was found between observed atypical profiles values and fitted values obtained with the two biphasic models, and both can revert to a simple Mitscherlich allowing them to describe typical monophasic profiles. The models contain kinetic fermentation parameters that can be used in conjunction with substrate degradability information and digesta passage rate to calculate extent of substrate degradation in the rumen or hindgut. Thus, models link the in vitro gas production technique to nutrient supply in the animal by providing information relating to digestion and nutritive value of feedstuffs.
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Publication Date: 2020-02-17 PubMed ID: 32079159PubMed Central: PMC7070440DOI: 10.3390/ani10020308Google Scholar: Lookup
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Summary

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The research presents two new mathematical models that can accurately describe both typical and unusual gas production patterns observed from in vitro digestion studies using horse manure.

Introduction to Models and the Research

  • The article discusses two new mathematical models that aim to depict both typical (monophasic) and atypical (biphasic) gas production curves found in in vitro digestion studies utilizing equine faecal inoculum.
  • The models are derived from the standard Mitscherlich equation, often used to demonstrate nutrient yield in relation to resource input, with one model comprising two Mitscherlich terms and the other comprising one Mitscherlich term in combination with a linear term.

Model Validation and Application

  • The new models were tested against gas production data collected from 25 in vitro digestibility experiments. These experiments incubated different feed substances with horse manure to monitor the resulting gas production.
  • Of the 25 datasets, 17 displayed atypical biphasic pattern profiles, while eight exhibited the more common monophasic gas production curve.
  • The effectiveness of the models was evaluated using goodness-of-fit statistical measures and the analysis of residuals.
  • Both models were able to accurately describe the actual gas production observed in the experiments, regardless of it being a typical or atypical profile.

Implications of the New Models

  • The new models go beyond simply describing the observed gas production and actually contains kinetic fermentation parameters.
  • These parameters could be used together with information about substrate degradability and digesta passage rate to calculate the degree of substrate degradation in the rumen or hindgut.
  • This suggests that the models have the potential to link in vitro gas production techniques with nutrient supply in the animal, thereby providing essential information related to the digestion and nutritive value of feedstuffs.

Cite This Article

APA
Powell CD, Dhanoa MS, Garber A, Murray JMD, López S, Ellis JL, France J. (2020). Models Based on the Mitscherlich Equation for Describing Typical and Atypical Gas Production Profiles Obtained from In Vitro Digestibility Studies Using Equine Faecal Inoculum. Animals (Basel), 10(2), 308. https://doi.org/10.3390/ani10020308

Publication

Animals : an open access journal from MDPI
ISSN: 2076-2615
NlmUniqueID: 101635614
Country: Switzerland
Language: English
Volume: 10
Issue: 2
PII: 308

Researcher Affiliations

Powell, Christopher D
  • Department of Animal Biosciences, University of Guelph, Guelph, ON N1G 2W1, Canada.
Dhanoa, Mewa S
  • Institute of Grassland and Environmental Research, Plas Gogerddan, Aberystwyth SY23 3EB, UK.
Garber, Anna
  • College of Medical, Veterinary and Life Sciences, School of Veterinary Medicine, University of Glasgow, Glasgow G61 1QH, UK.
Murray, Jo-Anne M D
  • College of Medical, Veterinary and Life Sciences, School of Veterinary Medicine, University of Glasgow, Glasgow G61 1QH, UK.
López, Secundino
  • Departamento de Producción Animal, Universidad de León, E-24007 León, Spain.
  • Instituto de Ganadería de Montaña, CSIC-Universidad de León, Finca Marzanas s/n, 24346 Grulleros, Spain.
Ellis, Jennifer L
  • Department of Animal Biosciences, University of Guelph, Guelph, ON N1G 2W1, Canada.
France, James
  • Department of Animal Biosciences, University of Guelph, Guelph, ON N1G 2W1, Canada.

Grant Funding

  • 045867 / Natural Sciences and Engineering Research Council of Canada
  • 045867 / Natural Sciences and Engineering Research Council of Canada

Conflict of Interest Statement

The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.

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Citations

This article has been cited 2 times.
  1. Dhanoa MS, López S, Powell CD, Sanderson R, Ellis JL, Murray JMD, Garber A, Williams BA, France J. An Illustrative Analysis of Atypical Gas Production Profiles Obtained from In Vitro Digestibility Studies Using Fecal Inoculum. Animals (Basel) 2021 Apr 9;11(4).
    doi: 10.3390/ani11041069pubmed: 33918882google scholar: lookup
  2. Vasseur M, Lepers R, Langevin N, Julliand S, Grimm P. Fibrolytic efficiency of the large intestine microbiota may benefit running speed in French trotters: A pilot study. Physiol Rep 2024 Nov;12(21):e70110.
    doi: 10.14814/phy2.70110pubmed: 39533164google scholar: lookup
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