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Effect of oxygen absorber concentration and temperature on enzyme kinetics–based respiration rate modeling of mango (cv. Amrapali)

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Abstract

Various experiments were conducted at different storage temperatures and oxygen absorber concentrations to assess the effect of oxygen absorber and temperature on enzyme kinetics–based respiration rate model of mango (cv. Amrapali). Using the principle of enzyme kinetics and the Arrhenius equation, a model was proposed for predicting the respiration rates of mango as a function of O2 and CO2 concentrations with time at a given storage temperature and oxygen absorber concentration. The respiration data were generated using a closed system method. The model parameters calculated from the respiration rate at different O2 and CO2 concentrations were correlated with different storage temperatures using the Arrhenius equation. The activation energy and pre-exponential factors of the Arrhenius equation were used to predict the model parameters at any temperature between 10 and 37 °C and at any oxygen absorber concentration (0cc, 50cc, 100cc, and 150cc). In this model, the dependence of respiration rate on O2 and CO2 was found to follow the uncompetitive type inhibition. The model parameters were found to be significantly affected by oxygen absorber concentration, and storage temperature. The models were tested for their applicability by validating at 27 °C along with 75cc oxygen absorber and found to be in good agreement with the experimentally observed respiration rates.

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Abbreviations

E :

Mean relative deviation modulus, %

E a :

Activation energy, kJ g−1mol−1

\( {K}_{{\mathrm{m}}_{\left({\mathrm{O}}_2\right)}} \) :

Michaelis-Menten constant for O2 consumption, % O2

\( {K}_{{\mathrm{m}}_{\left({\mathrm{CO}}_2\right)}} \) :

Michaelis-Menten constant for CO2 evolution, % O2

\( {K}_{{\mathrm{i}}_{\left({\mathrm{O}}_2\right)}} \) :

Inhibition constants for O2 consumption, % CO2

\( {K}_{{\mathrm{i}}_{\left({\mathrm{CO}}_2\right)}} \) :

Inhibition constants for CO2 evolution, % CO2

N :

Number of respiration data points

R :

Universal gas constant, 8.314 kJ kg−1mol−1K−1

\( {\mathrm{R}}_{\mathrm{C}{\mathrm{O}}_2} \) :

Respiration rate, ml [CO2] kg−1h−1

R exp :

Experimental respiration rate, ml kg−1 h−1

R m :

Model parameter of enzyme kinetic

R pre :

Predicted respiration rate, ml kg−1 h−1

\( {R}_{{\mathrm{O}}_2} \) :

Respiration rate, ml [O2] kg−1h−1

R p :

Respiration pre-exponential factor

T :

Storage temperature, °C

T abs :

Storage temperature, K and t is storage time, h

Δt :

Time difference between two gas measurements

V f :

Free volume of the respiration chamber, ml

\( {\mathrm{V}}_{{\mathrm{m}}_{\left({\mathrm{CO}}_2\right)}} \) :

Maximum respiration rate for CO2 evolution, ml/kg-h

\( {V}_{{\mathrm{m}}_{\left({\mathrm{O}}_2\right)}} \) :

Maximum respiration rate for O2 consumption, ml/kg-h

W :

Weight of mango fruit, kg

\( {Y}_{{\mathrm{O}}_2} \) :

Oxygen concentration, decimal

\( {Z}_{\mathrm{C}{\mathrm{O}}_2} \) :

Carbon dioxide concentration, decimal

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Acknowledgements

The authors are grateful to the Indian Agricultural Research Institute, New Delhi, for needful funding on the research work and also to ICAR-Central Institute of Agricultural Engineering, Bhopal for facilitating the laboratory requirement and mango fruits from its orchard to conduct the research work timely and successfully.

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Authors and Affiliations

  1. Department of Agricultural Structure and Process Engineering, ICAR-Central Institute of Agricultural Engineering, Bhopal, India

    Rajeev Ranjan Thakur

  2. Department of Agro Produce Processing, ICAR-Central Institute of Agricultural Engineering, Bhopal, Madhya Pradesh, 462038, India

    Shukadev Mangaraj

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  1. Rajeev Ranjan Thakur
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Correspondence to Rajeev Ranjan Thakur.

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Thakur, R.R., Mangaraj, S. Effect of oxygen absorber concentration and temperature on enzyme kinetics–based respiration rate modeling of mango (cv. Amrapali). Food Bioprocess Technol 14, 956–967 (2021). https://doi.org/10.1007/s11947-021-02620-3

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