Research Article

Prediction equations for estimating nutrient digestibility of feed ingredients based on in vitro procedures for pigs

Thi Kim Thi Pham1https://orcid.org/0009-0000-7159-9477, Seung Bin Yoo1https://orcid.org/0009-0005-8331-2599, Yoon Soo Song1https://orcid.org/0000-0001-6471-799X, Duc Luc Do2https://orcid.org/0000-0003-3364-1296, Soo-Ki Kim1https://orcid.org/0000-0003-3499-3330, Beob Gyun Kim1,*https://orcid.org/0000-0003-2097-717X
Author Information & Copyright
1Department of Animal Science, Konkuk University, Seoul 05029, Korea
2Department of Animal Breeding and Genetics, Vietnam National University of Agriculture, Hanoi, Vietnam
*Corresponding author: Beob Gyun Kim Department of Animal Science, Konkuk University, Seoul 05029, Korea Tel: +82-2-2049-6255 E-mail: beobgyun@konkuk.ac.kr

© Copyright 2025 Korean Society of Animal Science and Technology. This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/4.0/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Received: Apr 03, 2025; Revised: Apr 17, 2025; Accepted: Apr 24, 2025

Published Online: Jun 30, 2025

Abstract

The objectives were to assess nutrient digestibility of feed ingredients using in vitro procedures and to develop novel prediction equations for estimation of standardized ileal digestibility (SID) of crude protein (CP) and apparent total tract digestibility (ATTD) of gross energy (GE) in feed ingredients for pigs. Ten ingredients (rice, corn, soybean hulls, wheat, wheat bran, palm kernel expellers, copra meal, cashew nuts, rapeseed meal, and soybean meal) were analyzed for GE and CP, ether extract, amylase-treated neutral detergent fiber, acid detergent fiber, and ash concentrations. In vitro assays were performed to determine in vitro ileal disappearance (IVID) of CP and in vitro total tract disappearance (IVTTD) of dry matter in the ingredients. The most suitable equations for feed ingredients fed to pigs were: SID of CP = 16.55 + 0.89 × IVID of CP – 2.00 × ash with R2 = 0.89; ATTD of GE = 42.68 + 0.57 × IVTTD of dry matter – 2.27 × ash with R2 = 0.94 (all variables are based on % as-is). In conclusion, the novel prediction equations using in vitro nutrient disappearance and ash concentrations can estimate in vivo digestibility of protein and energy in feed ingredients for pigs.

Keywords: Feed ingredients; In vitro disappearance; Prediction equation; Swine

INTRODUCTION

As the prices of corn, wheat, and soybean meal have risen with fluctuations [1,2], alternative sources have gained increasing attention as a practical solution to reduce feed costs and reliance on traditional feed ingredients [1]. Because nutrient concentrations, including protein and fiber, vary among the alternative feed ingredients, an accurate evaluation of digestibility of nutrients in alternatives is necessary to replace the conventional sources in swine diets [3].

The determination of nutrient digestibility requires animal experiments which are expensive, laborious, and time-intensive. In contrast, in vitro procedures mimicking the digestive and absorptive systems in the gastrointestinal tract of pigs to estimate nutrient digestibility in feed ingredients are cost-effective and time-saving [47]. In vitro procedures have been used for evaluating feed ingredients in previous studies [8,9]. However, in vivo nutrient digestibility of feed ingredients may not be accurately estimated solely by in vitro disappearance due to the differences in nutrient composition affecting digestion under in vivo and in vitro conditions [10]. The addition of nutrient concentrations as independent variables may increase the prediction accuracy for nutrient digestibility in pigs. However, to our knowledge, most prediction equations estimating in vivo nutrient digestibility were based on in vitro disappearance as the sole independent variable [5,11]. For that reason, the objectives of this study were to assess nutrient digestibility of various feed ingredients using in vitro procedures and to develop prediction equations for estimating standardized ileal digestibility (SID) of crude protein (CP) and apparent total tract digestibility (ATTD) of gross energy (GE) using in vitro nutrient disappearance and nutrient composition in conventional and alternative feed ingredients fed to pigs.

MATERIALS AND METHODS

Test ingredients

Ten feed ingredients, including rice, corn, soybean hulls, wheat, wheat bran, palm kernel expellers, copra meal, cashew nuts, rapeseed meal, and soybean meal, were employed to develop prediction equations for estimation of in vivo nutrient digestibility using in vitro nutrient disappearance and nutrient concentrations (Table 1). The 10 feed ingredients were chosen to provide a variety of CP and fiber concentrations.

Table 1. Analyzed composition of test ingredients (as-is basis)
Item Rice Corn Soybean hulls Wheat Wheat bran Palm kernel expellers Copra meal Cashew nuts Rapeseed meal Soybean meal
Dry matter (%) 87.0 86.8 88.4 90.5 86.6 93.4 89.7 95.1 89.6 87.8
Gross energy (kcal/kg) 3,610 3,754 3,779 3,890 4,085 4,505 3,933 6,524 4,281 4,173
Crude protein (%) 8.2 8.3 10.2 12.9 15.2 16.3 21.8 22.4 34.5 48.5
Ether extract (%) 0.3 2.8 2.6 3.3 4.8 9.2 2.1 47.8 2.3 1.3
Ash (%) 0.8 1.3 4.2 2.7 3.8 4.0 6.5 2.6 8.4 6.4
aNDF (%) 1.0 8.1 63.0 9.2 32.8 64.7 58.2 9.1 33.5 5.5
ADF (%) 0.0 2.3 45.4 2.6 10.7 47.4 35.0 4.6 21.6 3.6

aNDF, amylase-treated neutral detergent fiber; ADF, acid detergent fiber.

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Data collection for in vivo digestibility

The values for SID of CP in rice, wheat, and cashew nuts and the values for ATTD of GE in rice, corn, soybean hulls, wheat, wheat bran, palm kernel expellers, copra meal, cashew nuts, and rapeseed meal were from in-house data (Table 2). A total of 44 data for SID of CP in corn, soybean hulls, wheat bran, palm kernel expellers, copra meal, rapeseed meal, and soybean meal were collected from 21 published papers [1232]. A total of 19 data for ATTD of GE in soybean meal were collected from 9 published papers [8,11,12,15,16,23,30,31,33]. In the search conducted on PubMed and Google Scholar, the keywords included SID of CP, ATTD of GE, feed ingredients, and pigs. The research articles were manually selected according to the title and nutrient composition of the test ingredients, including CP, fat, fiber, and ash. During the process of screening, data of sows and weaned piglets were removed. The averaged values were calculated and used for each ingredient when multiple data were available for an ingredient.

Table 2. Standardized ileal digestibility (SID) of crude protein (CP) and apparent total tract digestibility (ATTD) of gross energy (GE) in feed ingredients fed to growing pigs
Item Number of data1) Average digestibility (%)
SID of CP
Rice - 96.0
Corn 9 78.5
Soybean hulls 3 62.3
Wheat - 89.4
Wheat bran 2 70.7
Palm kernel expellers 4 74.5
Copra meal 3 75.8
Cashew nuts - 86.1
Rapeseed meal 11 72.8
Soybean meal 12 89.2
ATTD of GE
Rice - 96.4
Corn - 88.2
Soybean hulls - 58.2
Wheat - 86.8
Wheat bran - 67.3
Palm kernel expellers - 64.5
Copra meal - 67.7
Cashew nuts - 88.7
Rapeseed meal - 64.9
Soybean meal 19 87.4

1) A total of 44 data for SID of CP in corn, soybean hulls, wheat bran, palm kernel expellers, copra meal, rapeseed meal, and soybean meal fed to growing pigs were obtained from 21 research papers and a total of 19 data for ATTD of GE in soybean meal fed to growing pigs were obtained from 9 research papers [8,1133]. The values for SID of CP in rice, wheat, and cashew nuts, as well as the values for ATTD of GE in rice, corn, soybean hulls, wheat, wheat bran, palm kernel expellers, copra meal, cashew nuts, and rapeseed meal were determined by our research group as marked with hyphens.

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In vitro ileal disappearance assays (2-step procedure)

In vitro ileal disappearance (IVID) of dry matter (DM) and CP in 10 feed ingredients was evaluated by mimicking the digestive system of pigs based on the procedure developed in the literature [6,34]. The particle size of test ingredients was reduced to less than 1.0 mm using a grinder before the in vitro assays. In step 1, one gram of each ingredient was placed into a flask with a capacity of 200 mL, followed by supplementation with 25 mL of 0.1 M sodium phosphate buffer solution (pH 6.0) and 10 mL of 0.2 M HCl (pH 0.7). To mimic the pigs’ stomach digestion, HCl (1 M) and NaOH (1 M) were poured into the flask to make pH 2.0. Then, 1.0 mL of 10-mg/mL pepsin solution (P7000, Sigma-Aldrich) was poured into the flask. To prevent fermentation by microorganism, 0.5 mL of chloramphenicol solution (5.0 g/L ethanol; C0378, Sigma-Aldrich) was added. Then, the flasks were agitated using a shaking incubator (LSI-3016R, Daihan Labtech, Namyangju, Korea) at 39°C for 6 hours.

The next step was performed to mimic the small intestine digestive system of pigs. Initially, 10 mL of 0.2 M phosphate buffer solution (pH 6.8) and 5 mL of 0.6 M NaOH solution were added to each flask. Next, HCl (1.0 M) and NaOH (1.0 M) were poured into the flasks to adjust the pH to 6.8, followed by the addition of 1.0 mL of 50-mg/mL pancreatin solution (P1750, Sigma-Aldrich). The flasks were agitated using the shaking incubator at 39°C for 18 hours. Then, 5 mL of sulfosalicylic acid solution (20%) was added to each flask, and the flasks were kept at room temperature for 30 minutes to precipitate undigested protein. After precipitation for 30 minutes, the undigested samples were filtered using glass filter crucibles (CFE Por. 2; ROBU® Glasfilter-Geraete GmbH, Hattert, Germany), which had been pre-weighed and had contained 0.5 g of celite (Celite 545, Daejung Chemicals & Metals, Siheung, Korea). Then, 10 mL of 95% ethanol was poured twice to wash glass filter crucibles containing undigested samples, followed by 99.5% acetone washing twice. After that, undigested samples in the crucibles were dried at 80°C for 24 hours. After being cooled in a desiccator for 1 hour, IVID of DM in the test ingredients was calculated by weighing the crucibles. The undigested residues in the filter crucibles were collected for CP analysis to calculate the IVID of CP. The blank values were obtained to correct the contents of DM and CP in the undigested residues not derived from feed ingredient samples, based on the prediction equations using amounts of pepsin and pancreatin added [4]. Three replicates were conducted for each ingredient.

In vitro total tract disappearance assays (3-step procedure)

In vitro total tract disappearance (IVTTD) of DM and organic matter (OM) in 10 test feed ingredients was evaluated by mimicking the digestive system of pigs based on the procedure developed in the literature [5,34]. In steps 1 and 2, only sample weight, enzymes concentration, and incubation period were altered from 2-step in vitro assays. For evaluating the IVTTD of DM and OM in feed ingredients, 0.5 g of each sample was digested with pepsin solution (25 mg/mL) in step 1 and pancreatic solution (100 mg/mL) in step 2 with the incubation periods of 2 and 4 hours in step 1 and 2, respectively. In step 3 for mimicking the condition of large intestine fermentation, 10 mL of 0.2 M EDTA solution was added to each flask. Then, 30% acetic acid or 1 M NaOH was added to adjust the pH to 4.8. The samples in the flasks were supplemented with 0.5 mL of a cellulolytic enzyme mixture (Viscozyme® L, Sigma-Aldrich) and agitated in the incubator at 39°C for 18 hours. The samples were filtered using glass filter crucibles as suggested in IVID assays, and the residues in the crucibles were dried at 130°C for 6 hours. Additionally, the ash content in the residues was measured for calculating the IVTTD of OM in test ingredients. A blank was included during the IVTTD procedure to correct the contents of residual DM and OM, which were considered to derive from exogenous enzymes. Three replicates were conducted for each ingredient.

Chemical analysis

Prior to chemical analyses, the particle sizes of test ingredient samples were reduced by grinding to pass through a 1.0-mm screen. DM (method 930.15), CP (method 990.03), OM (method 942.05), ether extract (EE; method 920.39), ash (method 942.05), amylase-treated neutral detergent fiber (aNDF; method 2002.04), and acid detergent fiber (method 973.18) in feed ingredients were determined according to the AOAC [35]. Gross energy contents in test ingredients were also determined using a bomb calorimeter (6400 Automatic Isoperibol Calorimeter, Parr Instrument Company, Moline, IL, USA).

Calculations

The calculations of in vitro DM disappearance followed the equations below [7]:

 IVID or IVTTD of DM  ( % ) = DM ing  DM residues  + DM blank  ÷ DM ing  × 100
(1)

where DMing (g) is the quantity of DM in feed ingredients, DMresidues (g) is the quantity of DM residues after the IVID or IVTTD procedure, and DMblank (g) is the quantity of DM residues in the blank estimated using an estimation model for the 2-step in vitro digestion procedure [4]. The quantity of DM residues in the blank after the IVTTD procedure was measured. The calculation of IVID of CP followed the equation below [7]:

 IVID of CP ( % ) = DM ing  × CP ing  DM residues  × CP residues  + DM blank  × CP blank  ÷ DM ing  × CP ing  × 100
(2)

where CPing, CPresidues, and CPblank are the CP contents in a test ingredient, the undigested residues, and the blank value estimated using the exogenous enzyme doses according to the literature [4], respectively. The calculation of IVTTD of OM followed the equation below [7]:

 IVTTD of OM  ( % ) = OM ing  OM residues  + OM blank  ÷ OM ing  × 100
(3)

where OMing (g) is the quantity of OM in feed ingredients, OMresidues (g) is the quantity of OM in the undigested residues after the IVTTD procedure, and OMblank (g) is the quantity of OM in the blank after the IVTTD procedure.

Statistical analysis

The GLM procedure of SAS (SAS Inst., Cary, NC, USA) was used for data analyses. The fixed effect was test ingredient and least-square means were calculated for IVID and IVTTD of nutrients. The comparison of mean values was made with Tukey’s adjustment using the PDIFF option. The experimental unit was a flask. The CORR procedure of SAS was used for correlation analyses among nutrient compositions, in vitro disappearance, SID of CP, and energy digestibility. The REG procedure of SAS was used to develop novel prediction equations estimating SID of CP or ATTD of GE based on IVID of CP, IVTTD of DM, nutrient compositions, or both as independent variables. The statistical significance and tendency levels were declared at p < 0.05 and p < 0.10.

RESULTS

In the 10 feed ingredients, the concentrations of CP ranged from 8.2% to 48.5%, EE ranged from 0.3% to 47.8%, aNDF ranged from 1.0% to 64.7%, ADF ranged from 0% to 47.4%, and ash ranged from 0.8% to 8.4% on an as-is basis (Table 1). The range of GE contents in test ingredients was from 3,610 to 6,524 kcal/kg. The average SID of CP and ATTD of GE in the 10 test ingredients ranged from 62.3% to 96.0% and from 58.2% to 96.4%, respectively (Table 2).

The IVID of DM in wheat was the greatest (p < 0.05), followed by rice, corn, and cashew nuts (Table 3). The IVID of CP in cashew nuts and soybean meal was the greatest (p < 0.05), followed by rice, wheat, and rapeseed meal. Soybean hulls showed the lowest IVID of DM and CP (p < 0.05). The IVTTD of DM in rice was the greatest (p < 0.05), followed by cashew nuts, soybean meal, wheat, and corn. The IVTTD of OM in rice, cashew nuts, and soybean meal were the greatest (p < 0.05), followed by corn, wheat, and rapeseed meal. Palm kernel expellers showed the lowest IVTTD of DM and OM (p < 0.05).

Table 3. In vitro ileal and total tract disappearance of nutrients in feed ingredients fed to pigs
Item (%) Rice Corn Soybean hulls Wheat Wheat bran Palm kernel expellers Copra meal Cashew nuts Rapeseed meal Soybean meal SEM p-value
In vitro ileal disappearance
Dry matter 81.7b 81.6b 17.9h 87.4a 56.9e 32.8g 48.6f 81.1b 61.8d 75.9c 0.4 < 0.001
Crude protein 88.4b 72.6f 59.7g 85.0c 72.8f 75.8e 79.7d 91.4a 85.9c 90.4ab 0.5 < 0.001
In vitro total tract disappearance
Dry matter 96.7a 84.9d 49.2h 88.1c 65.8g 43.5i 70.9f 94.6b 77.6e 94.5b 0.4 < 0.001
Organic matter 96.6a 84.8b 47.3f 87.8b 64.6e 43.0g 69.4d 94.4a 77.9c 93.9a 0.6 < 0.001

Each least squares mean represents 3 observations.

a–i Least squares of means within a row without a common superscript letter are different (p < 0.05).

a–i SEM, standard error of the means.

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The EE was positively correlated with GE (r = 0.97; p < 0.001; Table 4). The SID of CP showed a negative correlation with aNDF (r = −0.81; p < 0.01). The SID of CP was positively correlated with IVID of CP (r = 0.82; p < 0.01). The ATTD of GE was negatively correlated with aNDF (r = −0.92; p < 0.001). The ATTD of GE was positively correlated with IVTTD of DM (r = 0.89; p < 0.001).

Table 4. Correlation coefficients among nutrient concentrations, in vitro nutrient disappearance, standardized ileal digestibility (SID) of crude protein (CP), and apparent total tract digestibility (ATTD) of gross energy (GE) in feed ingredients fed to pigs (n = 10)
Item CP EE Ash aNDF ADF IVID of CP IVTTD of DM SID of CP ATTD of GE
GE 0.24 0.97*** −0.01 −0.13 −0.10 0.42 0.18 0.13 0.14
CP 0.04 0.75* −0.12 −0.09 0.52 0.27 0.14 −0.01
EE −0.21 −0.17 −0.15 0.34 0.21 0.15 0.22
Ash 0.44 0.42 0.08 −0.24 −0.40 −0.59
aNDF 0.98*** −0.65* −0.93*** −0.81** −0.92***
ADF −0.61 −0.91*** −0.75* −0.87**
IVID of CP 0.78** 0.82** 0.66*
IVTTD of DM 0.83** 0.89***
SID of CP 0.92***

* p < 0.05

** p < 0.01

*** p < 0.001.

*** EE, ether extract; aNDF, amylase-treated neutral detergent fiber; ADF, acid detergent fiber; DM, dry matter; IVID, in vitro ileal disappearance; IVTTD, in vitro total tract disappearance.

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The most suitable model for SID of CP was: SID of CP (%) = 16.55 + 0.89 × IVID of CP – 2.00 × ash with R2 = 0.89, and p < 0.001 (Table 5). The most suitable model for ATTD of GE was: ATTD of GE (%) = 42.68 + 0.57 × IVTTD of DM – 2.27 × ash with R2 = 0.94, and p < 0.001 (Table 6).

Table 5. Prediction equations for standardized ileal digestibility (%) of crude protein (CP) based on in vitro ileal disappearance (IVID, %) of CP and nutrient concentration (% as-is basis) in pigs (n = 10)
Item Regression coefficient parameter Statistical parameter
Intercept IVID of CP Ash aNDF RMSE R2 p-value
Equation 1 11.59 0.85 - - 6.28 0.67 0.004
Standard error 16.85 0.21 - - - - -
p-value 0.511 0.004 - - - - -
Equation 2 42.95 0.53 - −0.19 5.19 0.81 0.003
Standard error 20.02 0.23 - 0.09 - - -
p-value 0.069 0.054 - 0.066 - - -
Equation 3 16.55 0.89 −2.00 - 3.88 0.89 < 0.001
Standard error 10.49 0.13 0.53 - - - -
p-value 0.159 < 0.001 0.007 - - - -

aNDF, amylase-treated neutral detergent fiber; RMSE, root mean square of error.

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Table 6. Prediction equations for apparent total tract digestibility (%) of gross energy based on in vitro total tract disappearance (IVTTD, %) of dry matter (DM) and nutrient concentration (% as-is basis) in pigs (n = 10)
Item Regression coefficient parameter Statistical parameter
Intercept IVTTD of DM Ash aNDF RMSE R2 p-value
Equation 1 28.29 0.64 - - 6.74 0.78 0.001
Standard error 9.30 0.12 - - - - -
p-value 0.016 0.001 - - - - -
Equation 2 76.69 0.15 - −0.39 5.87 0.86 0.001
Standard error 26.98 0.28 - 0.21 - - -
p-value 0.025 0.608 - 0.102 - - -
Equation 3 42.68 0.57 −2.27 - 3.89 0.94 < 0.001
Standard error 6.41 0.07 0.55 - - - -
p-value < 0.001 < 0.001 0.005 - - - -

aNDF, amylase-treated neutral detergent fiber; RMSE, root mean square of error.

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DISCUSSION

In the present study, the analyzed GE, CP, EE, fiber, and ash contents in the test ingredients were consistent with the values found in the previous studies [8,1113,15,36]. Among the evaluated ingredients, cashew nuts contained the highest GE content because of the greater EE concentration compared to the other test ingredients [37].

The IVID of CP values in soybean hulls, wheat bran, copra meal, and soybean meal determined in the present study were within the range of data reported in the previous research [1,34,38]. The greater IVID of CP in cashew nuts, soybean meal, and rice compared with the other test ingredients is likely because of the relatively low fiber concentration in cashew nuts, soybean meal, and rice [39,40]. Fibers are more difficult to digest compared to starch, protein, and lipids because pigs excrete fewer endogenous fiber-degrading enzymes [41]. Additionally, fibers in feed ingredients negatively affect the digestibility of other nutrients surrounded by or bonded to fiber fractions, hindering nutrient breakdown and absorption [39,40]. In the in vitro condition, exogenous enzymes may be hindered by fiber fractions, resulting in a decrease in in vitro disappearance [1]. By the same token, rice showed the greatest IVTTD of DM and OM, and palm kernel expellers showed the lowest IVTTD of DM and OM among the test ingredients mainly because of the fiber concentrations. The values for IVTTD of DM and OM in corn, soybean hulls, wheat, wheat bran, palm kernel expellers, copra meal, rapeseed meal, and soybean meal determined in the present study were within the range of data reported in the previous studies [1,2,11,34,4244].

The positive relation of GE and EE observed in this work may be a result of the high energy content of lipids [37]. This study found a negative relation between aNDF and SID of CP or ATTD of GE, supporting that fiber is not digested by pigs and disrupts the digestion of other nutrients in feed ingredients, which is confirmed by previous studies [1,45,46]. The positive correlations between IVID of CP and SID of CP, as well as IVTTD of DM and ATTD of GE observed in the present study are in agreement with previous studies that reported relations between in vitro disappearance and in vivo digestibility, indicating that in vitro assays can be adopted to predict SID of CP or ATTD of GE in pigs [5,6,8].

Incorporating aNDF as an additional independent variable in addition to IVID of CP in prediction equations for SID of CP improved the prediction accuracy as the SID of CP was highly correlated with aNDF concentration in feed ingredients. With the same token, the inclusion of aNDF in the prediction model for ATTD of GE increased the determination coefficient as ATTD of GE was highly correlated with aNDF in feed ingredients. However, considering the strong negative correlation between aNDF and SID of CP (r = −0.81, p < 0.01) or ATTD of GE (r = −0.92, p < 0.001), the increased determination coefficients by the inclusion of aNDF in the models for SID of CP and ATTD of GE were not that large (ΔR2 = 0.14 and 0.08, respectively). The reason for the lack of large influence of aNDF on the accuracy of prediction models is likely due to the high correlation between aNDF and in vitro disappearance, indicating that the effects of aNDF on in vivo digestibility may already have been reflected when in vitro assays were conducted.

Incorporating ash as an independent variable in addition to in vitro nutrient disappearance for estimating SID of CP or ATTD of GE enhanced the prediction accuracy represented by determination coefficients (ΔR2 = 0.22 and 0.16, respectively) compared with the prediction equations with in vitro nutrient disappearance as a sole independent variable. Interestingly, ash content was not correlated with SID of CP and ATTD of GE. The reason for the improved prediction accuracy by the inclusion of ash as an additional independent variable remains unclear. However, previous studies reported that ash contents are negatively correlated with in vivo CP digestibility, the amount of digestible CP, and energy utilization in feed ingredients fed to pigs, likely because ash may interfere with nutrient digestion [3,8,47]. Similarly, ash contents in the ingredients tended to be negatively correlated with ATTD of GE (r = −0.59, p = 0.074) in the present study. However, the correlation between ash contents and SID of CP (r = −0.40, p = 0.254) was not significant which may be due to the lack of sufficient number of ingredients or sufficiently large range of ash contents or both in the present study. In addition, the effects of ash on in vivo digestibility of energy and nutrients may not be fully reflected under in vitro conditions. Further research is warranted to investigate the role and mechanisms of ash in the prediction models for energy and nutrient digestibility.

In conclusion, SID of CP and ATTD of energy in feed ingredients fed to growing pigs can be estimated using prediction models developed in the present study based on in vitro nutrient disappearance and ash concentrations as independent variables.

Competing interests

No potential conflict of interest relevant to this article was reported.

Funding sources

This work was supported by collaboration between the Korea International Cooperation Agency (KOICA) and the Industry-Academic Cooperation Foundation of Konkuk University in 2024.

Acknowledgements

Not applicable.

Availability of data and material

Upon reasonable request, the datasets of this study can be available from the corresponding author.

Authors’ contributions

Conceptualization: Kim BG.

Data curation: Pham TKT, Yoo SB, Song YS.

Formal analysis: Pham TKT.

Methodology: Do DL, Kim SK, Kim BG.

Validation: Song YS, Kim SK, Kim BG.

Investigation: Pham TKT, Yoo SB, Do DL.

Writing - original draft: Pham TKT, Yoo SB.

Writing - review & editing: Pham TKT, Yoo SB, Song YS, Do DL, Kim SK, Kim BG.

Ethics approval and consent to participate

This article does not require IRB/IACUC approval because there are no human and animal participants.

REFERENCES

1.

J KimYY JoBG KimEnergy concentrations and nutrient digestibility of high-fiber ingredients for pigs based on in vitro and in vivo assaysAnim Feed Sci Technol2022294115507

2.

H JoJY SungBG KimEffects of supplemental xylanase on in vitro disappearance of dry matter in feed ingredients for swineRev Colomb Cienc Pecu20213431623

3.

SA LeeJY AhnBG KimDigestible and metabolizable energy concentrations in cereal grains and byproduct ingredients fed to growing pigsAnim Feed Sci Technol2022292115408

4.

YS SongH KimBG KimEstimation of dry matter and crude protein residues originating from exogenous digestive enzymes based on the amounts of pepsin and pancreatin used in 2-step in vitro digestibility procedures for non-ruminantsAnim Feed Sci Technol2024309115895

5.

S BoisenJA FernándezPrediction of the total tract digestibility of energy in feedstuffs and pig diets by in vitro analysesAnim Feed Sci Technol19976827786

6.

S BoisenJA FernándezPrediction of the apparent ileal digestibility of protein and amino acids in feedstuffs and feed mixtures for pigs by in vitro analysesAnim Feed Sci Technol1995512943

7.

J OhH KimK ParkBG KimDrying methods for black soldier fly (Hermetia illucens) larvae as a feed ingredient for pigs affect in vitro nutrient disappearanceAgriculture2024141792

8.

AR SonCS ParkBG KimDetermination and prediction of digestible and metabolizable energy concentrations in byproduct feed ingredients fed to growing pigsAsian-Australas J Anim Sci20173054653

9.

PR RegmiNS FergusonRT ZijlstraIn vitro digestibility techniques to predict apparent total tract energy digestibility of wheat in grower pigsJ Anim Sci20098736209

10.

M GandarillasMI ValenzuelaJ MolinaR AriasJ KeimIn vivo digestibility and in vitro fermentation of high dietary fiber forages in growing pigs’ dietsFermentation20239448

11.

J SonN ParkBG KimEnergy utilization of corn, oilseed meals, and fibrous ingredients can be predicted by multi-sample simultaneous in vitroassay for growing pigsAnim Feed Sci Technol2024309115903

12.

National Research CouncilNutrient requirements of swine11th edWashington, DCThe National Academies Press2012

13.

P LiF WangF WuJ WangL LiuC LaiChemical composition, energy and amino acid digestibility in double-low rapeseed meal fed to growing pigsJ Anim Sci Biotechnol2015637

14.

SL TraylorGL CromwellMD LindemannDA KnabeEffects of level of supplemental phytase on ileal digestibility of amino acids, calcium, and phosphorus in dehulled soybean meal for growing pigsJ Anim Sci200179263442

15.

RC SulaboWS JuHH SteinAmino acid digestibility and concentration of digestible and metabolizable energy in copra meal, palm kernel expellers, and palm kernel meal fed to growing pigsJ Anim Sci20139113919

16.

HH SteinGA CasasJJ AbelillaY LiuRC SulaboNutritional value of high fiber co-products from the copra, palm kernel, and rice industries in diets fed to pigsJ Anim Sci Biotechnol2015656

17.

AR SonY HyunJK HtooBG KimAmino acid digestibility in copra expellers and palm kernel expellers by growing pigsAnim Feed Sci Technol2014187917

18.

D SauvantJM PerezG TranTables of composition and nutritional value of feed materials: pigs, poultry, cattle, sheep, goats, rabbits, horses and fish2nd edWageningenWageningen Academic Publishers2004

19.

HS RostagnoLFT AlbinoAA CalderanoMI HannasNK SakomuraFG Perazzoet al.Brazilian tables for poultry and swine: composition of foods and nutritional requirementsViçosaUFV2024

20.

OJ RojasHH SteinEffects of reducing the particle size of corn grain on the concentration of digestible and metabolizable energy and on the digestibility of energy and nutrients in corn grain fed to growing pigsLivest Sci201518118793

21.

DA RodriguezSA LeeMRC de GodoyHH SteinExtrusion of soybean hulls does not increase digestibility of amino acids or concentrations of digestible and metabolizable energy when fed to growing pigsTransl Anim Sci20204txaa169

22.

C PedersenMG BoersmaHH SteinEnergy and nutrient digestibility in NutriDense corn and other cereal grains fed to growing pigsJ Anim Sci200785247383

23.

MSF OliveiraMK WiltafskySA LeeWB KwonHH SteinConcentrations of digestible and metabolizable energy and amino acid digestibility by growing pigs may be reduced by autoclaving soybean mealAnim Feed Sci Technol2020269114621

24.

Y LiuM SongFN AlmeidaSL TiltonMJ CecavaHH SteinEnergy concentration and amino acid digestibility in corn and corn coproducts from the wet-milling industry fed to growing pigsJ Anim Sci201492455765

25.

SA LeeJY AhnAR SonBG KimStandardized ileal digestibility of amino acids in cereal grains and co-products in growing pigsAsian-Australas J Anim Sci202033114855

26.

C KongHG KangBG KimKH KimIleal digestibility of amino acids in meat meal and soybean meal fed to growing pigsAsian-Australas J Anim Sci2014279905

27.

JC González-VegaBG KimJK HtooA LemmeHH SteinAmino acid digestibility in heated soybean meal fed to growing pigsJ Anim Sci201189361725

28.

M EklundWR CaineWC SauerGS HuangG DieboldM Schollenbergeret al.True and standardized ileal digestibilities and specific ileal endogenous recoveries of crude protein and amino acid in soybean meal, rapeseed meal and peas fed to growing pigsLivest Sci201214517482

29.

RA BohlkeRC ThalerHH SteinCalcium, phosphorus, and amino acid digestibility in low-phytate corn, normal corn, and soybean meal by growing pigsJ Anim Sci2005832396403

30.

JD BerrocosoOJ RojasY LiuJ ShouldersJC González-VegaHH SteinEnergy concentration and amino acid digestibility in high-protein canola meal, conventional canola meal, and soybean meal fed to growing pigsJ Anim Sci201593220817

31.

KM BakerHH SteinAmino acid digestibility and concentration of digestible and metabolizable energy in soybean meal produced from conventional, high-protein, or low-oligosaccharide varieties of soybeans and fed to growing pigsJ Anim Sci200987228290

32.

FN AlmeidaGI PetersenHH SteinDigestibility of amino acids in corn, corn coproducts, and bakery meal fed to growing pigsJ Anim Sci201189410915

33.

P YangJB ZhaoG ZhangJJ NiCF HuangDetermination and prediction of digestible and metabolizable energy of soybean meal and wheat bran for finishing pigsLivest Sci2021254104741

34.

J SonBG KimNutrient digestibility of soybean meal products based on in vitroprocedures for pigsAgriculture2023131631

35.

AOACOfficial methods of analysis21st edGaithersburg, MDAssociation of Official Analytical Chemists International2019

36.

O AletorJO AgbedeSA AdeyeyeVA AletorChemical and physio-chemical characterization of the flours and oils from whole and rejected cashew nuts cultivated in southwest NigeriaPak J Nutr200768993

37.

CT WhittemoreDM GreenGrowth of the young weaned pig. The weaner pig: nutrition and managementIn:Proceedings of a British Society of Animal Science Occasional Meeting2001Wallingford, UK

38.

DU HaH ChoiBG KimSupplemental protease improves in vitro disappearance of dry matter and crude protein in feather meal and copra meal for pigsRev Bras Zootec202049e20200095

39.

DMDL NavarroJJ AbelillaHH SteinStructures and characteristics of carbohydrates in diets fed to pigs: a reviewJ Anim Sci Biotechnol20191039

40.

KE Bach KnudsenCarbohydrate and lignin contents of plant materials used in animal feedingAnim Feed Sci Technol19976731938

41.

A JustH JørgensenJA FernándezPrediction of metabolizable energy for pigs on the basis of crude nutrients in the feedsLivest Prod Sci19841110528

42.

C KongCS ParkBG KimEffects of an enzyme complex on in vitro dry matter digestibility of feed ingredients for pigsSpringerPlus20154261

43.

CS ParkJ SonBG KimEffects of supplemental β-mannanase on in vitro disappearance of dry matter in feed ingredients for swineAnim Ind Technol202293540

44.

KR ParkCS ParkBG KimAn enzyme complex increases in vitro dry matter digestibility of corn and wheat in pigsSpringerPlus20165598

45.

AR SonCS ParkKR ParkBG KimAmino acid digestibility in plant protein sources fed to growing pigsAsian-Australas J Anim Sci201932174552

46.

W ZhangD LiL LiuJ ZangQ DuanW Yanget al.The effects of dietary fiber level on nutrient digestibility in growing pigsJ Anim Sci Biotechnol2013417

47.

J NobletJM PerezPrediction of digestibility of nutrients and energy values of pig diets from chemical analysisJ Anim Sci199371338998