Project Summary

Development of a Beef Muscle “Aging Index” for Purposes of Managing Beef Palatability at the Consumption Level – Long Term Muscles

Principle Investigator(s):
S. L. Gruber, Ph.D., K. E. Belk, Ph.D., J. A. Scanga, Ph.D., J. D. Tatum, Ph.D., and G. C. Smith, Ph.D.
Institution(s):
Colorado State University
Completion Date:
May 2004
Background 

Postmortem aging to improve palatability of cooked beef is a common practice. Many studies have evaluated the tenderness of various subprimal cuts, the longissimus dorsi muscle, or other individual beef muscles after various postmortem aging times (Smith et al., 1978; Lorenzen et al., 1998; Meis et al., 1998; Johnson, 2003). George et al. (1999) reported a range of 89 days in post -fabrication age of striploin and top sirloin steaks sold at retail stores in eight differing U.S. cities.   As the industry moves towards merchandising individual beef muscles, standardized postmortem aging times for muscles must be determined. Unfortunately, the majority of studies have been unable to discern differences in the amount of postmortem aging time required for individual beef muscles varying by USDA quality grade. Furthermore, most previous studies have relied on Warner-Bratzler shear force (WBSF) measurements obtained following freezing and thawing of beef steaks. This study was designed to develop standardized wet-aging time recommendations for individual beef muscles. Thus, allowing packers, retailers, and food service operations to manage the palatability of a wide range of beef muscles differing in USDA quality grade. 

Methodology 

Product selection. USDA Select (n = 40) and upper two-thirds USDA Choice (n = 40) beef carcasses were selected over a seven-month period from Swift and Company Greeley, CO (Table 1). Two days postmortem the following subprimals were removed from the right side of each carcass by in-plant fabrication: shoulder clod (IMPS 114), chuck roll (IMPS 116 C), chuck tender (IMPS 116 B), top round (IMPS 168), bottom round (IMPS 171 B), eye of round (IMPS 171 C), knuckle (IMPS 167), sirloin (IMPS 181), tenderloin (IMPS 189), and striploin (IMPS 180); the shoulder clod (IMPS 114), chuck roll (IMPS 116 C), chuck tender (IMPS 116 B), knuckle (IMPS 167), and bottom sirloin (IMPS 185) were removed from the left side of each carcass (NAMP, 1997). Subprimals were then transported to the Colorado State University Meat Laboratory for further processing.   

Muscle fabrication and steak allocation. The following individual muscles were removed from subprimal cuts: (a) complexus, (b) semimembranosus, (c) semitendinosus, (d) serratus ventralis, (e) spinalis dorsi/multifidus dorsi, (f) supraspinatus, (g) vastus lateralis, and (h) vastus medialis (Table 2). Due to size, the complexus and spinalis dorsi/multifidus dorsi muscles were not separated; individual muscle identification was maintained throughout sampling, but muscles were fabricated and cooked as a complex. Following fabrication, individual muscles within a carcass were cut into one-inch-thick steaks and the seven most suitable steaks within a muscle-type were each randomly assigned to one of the following aging periods: 2, 4, 6, 10, 14, 21, and 28 days. Steaks assigned to the 2-day aging period were immediately evaluated by Warner-Bratzler shear force, and the remaining six steaks per muscle-type were vacuum packaged and stored (2°C) until the assigned aging-period was complete.   

Warner-Bratzler shear force determination. Upon completion of designated aging-time, steaks were removed from storage (2°C, never frozen) for shear force analysis. Steaks most similar in thickness were cooked in groups of three on electric grills (model GGR64, Salton,Inc., Mt. Prospect, IL) that heated steaks from both sides simultaneously to a final internal temperature of 70°C. A Type K thermocouple (Omega Engineering Inc., Stamford, CT) was placed in the geometric center of each steak, and the internal temperature of each steak was monitored during cooking using a microprocessor thermometer (model HH21, Omega Engineering Inc.,Stamford, CT). After cooking each steak was allowed to equilibrate to room temperature (22°C) and up to 10 cores (1.27 cm in diameter) were removed from each steak parallel to the muscle fiber orientation. Each core was sheared once, perpendicular to the muscle fiber orientation, with an Instron testing machine fitted with a Warner-Bratzler shear head; peak shear force measurements of each core were recorded and averaged to obtain a single shear force value for each steak.   

Statistical methods. Analysis of Warner-Bratzler shear force (WBSF) was conducted using the least squares, mixed models procedure of SAS (SAS Inst. Inc., Cary, NC). The ANOVA model included the three-way interaction between the fixed independent effects of quality grade (grade), postmortem aging period (age), and muscle type (muscle). Random effects included carcass nested within grade, and the two-way interactions of carcass within grade × muscle, and carcass within grade × age. Because this preliminary analysis resulted in a significant interaction between grade, muscle, and age, WBSF data was subsequently analyzed within each of the two quality grades (upper 2/3 Choice and Select). The final statistical model included the two way interaction of muscle × age as a fixed effect. Random effects included carcass, carcass × muscle, and carcass × age. Peak internal steak temperature served as a covariate for all analyses of WBSF.   

Within each quality grade, least squares means were generated for each muscle by aging period subclass, and aging curves were fit for each muscle using the least squares, nonlinear models procedure of SAS (SAS Inst. Inc., Cary, NC.). Aging time was used as the independent variable in each regression equation. 

Findings 

Aging response
Least squares means of WBSF for each aging period by muscle subclass within a quality grade are presented in Tables 3 and 4. The non-linear equations fit to each muscle within a quality grade are illustrated in Figures 1 – 18.   

To estimate an optimal aging time for each muscle within a grade the following must be examined: a) WBSF at two days post-mortem, b) the maximum decrease in WBSF that can be expected (“aging response”)(Table 5), and c) the time that it takes for this reduction to occur. Based on the non-linear models fit to each muscle, within a quality grade, a predicted shear force value at two days postmortem, the change in shear force from day 2 to day 28, and the proportion of that change that has occurred at each of 6 aging periods is displayed in Tables 6 and 7. Estimates of decrease in shear force past twenty-eight days are not warranted in this data set and should not be extrapolated; however, the predicted instantaneous rate of change in WBSF for each muscle was ≤0.05 kg on day 28. The combination of these data determines the extent to which aging can improve tenderness (as determined by WBSF), and the time required for each muscle to obtain this improvement.   

Although postmortem aging will decrease WBSF values, if consumers cannot detect a change in beef palatability, postmortem aging has not added value to a muscle. Several studies have attempted to examine the impact of changes in WBSF on consumer acceptance of steaks (Miller et al., 2001; Lorenzen et al., 2003); Platter et al. (2003) reported predicted probabilities of consumer steak acceptance of 50 and 68% at approximate WBSF values of 4.4 and 3.7 kg, respectively. Although these probabilities of consumer acceptance are based on WBSF values of longissimus dorsi steaks, the WBSF values associated with them could be used as conservative thresholds. These thresholds could prove valuable in determining the length of time in days a beef muscle should be aged. 

Upper 2/3 Choice complexus muscles decreased 1.5 kg after 28 days of postmortem aging, and approximately 92% of this change was complete after 21 days; however, according to Platter et al. (2003) the complexus was only capable of obtaining shear force values that would correspond to 50% of consumer steak acceptance. WBSF values corresponding to this acceptance (4.4 kg) were reached 12 days postmortem. Complexus muscles from USDA Select carcasses had an aging response of 1.7 kg, and reached approximately 78% of this reduction 21 days postmortem. WBSF values of approximately 4.4 kg were reached at 26 days postmortem. 

The aging response of the longissimus dorsi muscle varied greatly by quality grade. Top choice longissimus dorsi muscles decreased 2.0 kg in 28 days, and approximately 99% of this change was complete by day 21. Top choice longissimus dorsi muscles reached a 68% consumer acceptance (3.7 kg) by day 16. Conversely, longissimus dorsi steaks from a Select carcass reached WBSF levels of 4.2 kg after 28 days postmortem, and only 87% of this 2.5 kg reduction in shear force was complete by day 21.   

Regardless of grade, neither semimembranosus nor semitendinosus muscles reached WBSF values corresponding to 50% consumer acceptance. Premium choice semimembranosus and semitendinosus muscles exhibited a 1.4 kg aging response, of which approximately 98% was complete day 21. Although higher grade semimembranosus and semitendinosus muscles exhibited similar aging responses, Select semimembranosus and semitendinosus muscles responded differently to aging. Semimembranosus muscles exhibited a large (2.3 kg) response to aging, but semitendinosus muscles exhibited an aging response similar to that of semitendinosus muscles from upper 2/3 Choice carcasses.   

Serratus ventralis muscles removed from carcasses of both grades reached WBSF values corresponding to 68% consumer acceptance of steaks. Upper 2/3 Choice carcasses yielded serratus ventralis muscles that began with WBSF values below those corresponding to 50% consumer steak acceptance (Platter et al., 2003), and reached shear values of 3.7 kg (68% consumer acceptance) by 12 days postmortem. Notably, top choice serratus ventralis muscles exhibited the slowest rate in total postmortem WBSF decrease, reaching only 78% of its change in shear force by day 21. Serratus ventralis muscles removed from USDA Select carcasses also reached a 3.7 kg threshold, but not until day 26.   

Premium choice spinalis dorsi/multifidus dorsi muscles decreased 1.0 kg after 28 days of postmortem aging, and greater than 90% of this change was complete day 14. Select spinalis dorsi/multifidus dorsi muscles had a 28 day aging response of 1.3 kg , 91% of which was complete by 21 days postmortem. Upper 2/3 choice and Select spinalis dorsi/multifidus dorsi muscles reached WBSF values corresponding to 68% consumer acceptance (3.7 kg) at 10 and 19 days postmortem, respectively.   

Upper 2/3 Choice and Select supraspinatus muscles reached WBSF value corresponding to 50% consumer acceptance (4.4 kg), at 17 and 25 days postmortem, respectively. Supraspinatus muscles of both grades had similar reductions in postmortem WBSF values; however, top choice “mock tenders” reached 99% of this reduction day 21, and only 92% of this reduction had occurred in Select muscles by 21 days postmortem.  Regardless of quality grade, neither muscle removed from the knuckle (IMPS 167) reached WBSF values corresponding to 68% consumer acceptance (3.7 kg), and all but the Select vastus lateralis muscles obtained 4.4 kg or lower shear values (50 % consumer acceptance ) before 21 days postmortem. Vastus medialis muscles of both grades displayed similar aging responses, but USDA Select vastus medialis muscles had only reached 88% of their total decrease in WBSF day 21, whereas premium choice vastus medialis muscles had completed 95% of their total decrease day 21. Vastus lateralis muscles of both grades also exhibited similar aging responses, and 94% or greater of the response was complete day 21.   

In general, muscles from USDA Select carcasses had higher initial (two days postmortem) WBSF values, exhibited greater decreases in shear force values through 28 days of postmortem aging, and required more days of postmortem aging to complete the majority of this decrease in WBSF than did muscles from upper 2/3 USDA Choice beef carcasses.   

Muscle tenderness 
A rank of beef muscles by Warner-Bratzler shear force (WBSF) within a quality grade at each of seven postmortem aging periods is located in Tables 8 - 21. Although numerous studies have characterized the tenderness of individual beef muscles (Ramsbottom et al., 1945, McKeith et al., 1985, Johnson et al., 1988; NCBA, 2000), properties of the longissimus dorsi muscle are still the most widely recognized. Therefore, an index value was created in this study for each muscle to facilitate comparisons in tenderness (as determined by WBSF). Within a quality grade, at each postmortem aging period, this index (Tables 8-21) identifies muscles that can be expected to perform similarly to the longissimus dorsi, in terms of tenderness, as well as those muscles that can be expected to out-perform the longissimus dorsi (Gruber et al., 2003). Also, an index has been created that compares the tenderness of individual muscles at each aging period to the tenderness of the longissimus dorsi aged 14 days (Tables 22 and 23). Caution, however, should be used when comparing muscles by index value alone. Because the index value is a proportion ((WBSF of the longissimus dorsi /WBSF of the individual muscle) * 100), small differences are magnified, and index values that may appear different are not significantly different (P < 0.05). Mean WBSF values are labeled with superscript letters identifying significant differences, and should always be used to test for tenderness differences between muscles. 

Implications   

Postmortem aging can be used to maximize tenderness potential of individual beef muscles. Combining initial WBSF measurements, aging responses within a 28-day period, and the rate at which this response occurs can estimate optimal aging time of individual beef muscles varying by quality grade. The conservative use of WBSF thresholds in consumer acceptability may also prove useful in identifying muscles that can be marketed as steaks, and distinguish palatability improvements throughout postmortem aging.

Table 1. Simple means for carcass traits of sample population stratified by quality grade

Upper ⅔ Choice

Select

Trait

n

Mean

SEM

n

Mean

SEM

Carcass weight, kg

40

375

5.2

40

356

2.4

Adjusted fat thickness, cm

35

1.32

0.05

40

1.06

0.05

Ribeye area, cm2

35

91.1

1.5

40

93.8

1.6

Kidney, pelvic, and heart fat %

35

2.2

0.06

40

2.1

0.06

Calculated yield grade

35

2.8

0.1

40

2.3

0.1

Marblinga

40

575.3

7.7

40

351.3

3.0

a300 = slight, 400 = small, 500 = modest.

Table 2. Individual beef muscles removed from a carcass, the number of each muscle excised from each carcass, and the subprimal from which each muscle was removed

Muscle

N

Subprimal

IMPSa

Complexus

2

Chuck roll

116 C

Longissimus dorsi

1

Striploin

180

Semimembranosus

1

Top round

168

Semitendinosus

1

Eye of round

171C

Serratus ventralis

2

Chuck roll

116 C

Spinalis dorsi/Multifidus dorsi

2

Chuck roll

116 C

Supraspinatus

2

Chuck tender

116 B

Vastus lateralis

2

Knuckle

167

Vastus medialis

2

Knuckle

167

aIMPS = Institutional Meat Product Specification (NAMP, 1997).

Table 3.. Least squares means ± standard error of the mean of Warner-Bratzler shear force (kg) for upper 2/3 USDA Choice beef muscles at seven postmortem aging periods

                                                                                              Days postmortem

Muscle

2

4

6

10

14

21

28

Complexus

5.48 ± 0.14v

4.88 ± 0.14w

4.90 ± 0.14w

4.64 ± 0.13w

4.16 ± 0.14x

4.03 ± 0.13x

3.91 ± 0.13x

Longissimus dorsi

5.64 ± 0.14v

4.90 ± 0.13w

4.31 ± 0.13x

3.94 ± 0.13y

3.97 ± 0.14y

3.67 ± 0.13yz

3.55 ± 0.13z

Semimembranosus

5.92 ± 0.14v

5.63 ± 0.14v

5.08 ± 0.13w

4.82 ± 0.13wx

4.67 ± 0.14xy

4.69 ± 0.13xy

4.45 ± 0.13y

Semitendinosus

6.17 ± 0.14v

5.63 ± 0.13w

5.21 ± 0.13x

5.13 ± 0.13x

4.94 ± 0.14xy

4.81 ± 0.14y

4.51 ± 0.13z

Serratus ventralis

4.10 ± 0.14v

4.06 ± 0.13v

3.98 ± 0.13vw

3.69 ± 0.13wx

3.68 ± 0.14wx

3.48 ± 0.14xy

3.20 ± 0.13y

Spinalis dorsi/Multifidus dorsi

4.59 ± 0.14v

4.05 ± 0.14w

4.09 ± 0.14w

3.68 ± 0.13x

3.63 ± 0.15x

3.48 ± 0.14x

3.55 ± 0.14x

Supraspinatus

5.94 ± 0.14v

5.05 ± 0.13w

5.06 ± 0.13w

4.71 ± 0.13x

4.60 ± 0.14xy

4.36 ± 0.14y

4.32 ± 0.13y

Vastus lateralis

5.76 ± 0.14v

5.29 ± 0.13w

5.09 ± 0.13w

4.73 ± 0.13x

4.57 ± 0.14xy

4.36 ± 0.13yz

4.17 ± 0.13z

Vastus medialis

5.48 ± 0.14v

5.39 ± 0.13v

4.70 ± 0.13w

4.26 ± 0.14x

4.05 ± 0.15xy

3.91 ± 0.13y

3.74 ± 0.13y

v,w,x,y,zMeans in the same row lacking common superscript letters differ (P < 0.05).

Table 4. Least squares means ± standard error of the mean of Warner-Bratzler shear force (kg) for USDA Select beef muscles at seven postmortem aging periods

                                                                                                   Days postmortem

Muscle

2

4

6

10

14

21

28

Complexus

6.13 ± 0.16u

5.87 ± 0.15uv

5.58 ± 0.15vw

5.28 ± 0.15wx

5.19 ± 0.16xy

4.87 ± 0.15y

4.23 ± 0.15z

Longissimus dorsi

6.64 ± 0.16u

6.36 ± 0.15uv

5.91 ± 0.15v

5.50 ± 0.15w

5.01 ± 0.16x

4.52 ± 0.15y

4.21 ± 0.15y

Semimembranosus

7.41 ± 0.16u

6.81 ± 0.15v

6.21 ± 0.15w

5.81 ± 0.15x

5.67 ± 0.16x

5.05 ± 0.15y

4.96 ± 0.15y

Semitendinosus

6.41 ± 0.16u

5.88 ± 0.15v

5.72 ± 0.15vw

5.43 ± 0.15wx

5.21 ± 0.16x

4.82 ± 0.15y

4.74 ± 0.15y

Serratus ventralis

4.67 ± 0.16u

4.60 ± 0.15u

4.42 ± 0.15uv

4.24 ± 0.15v

4.03 ± 0.16w

3.92 ± 0.15wx

3.63 ± 0.15x

Spinalis dorsi/Multifidus dorsi

4.99 ± 0.16u

4.45 ± 0.15v

4.23 ± 0.15vw

4.26 ± 0.15vw

4.01 ± 0.16wx

3.70 ± 0.15xy

3.52 ± 0.15y

Supraspinatus

6.00 ± 0.16u

5.68 ± 0.15u

5.29 ± 0.15v

5.08 ± 0.15vw

4.85 ± 0.16wx

4.52 ± 0.15xy

4.37 ± 0.15y

Vastus lateralis

6.23 ± 0.16u

5.70 ± 0.15v

5.48 ± 0.15v

4.93 ± 0.15w

5.00 ± 0.16w

4.80 ± 0.15w

4.43 ± 0.15x

Vastus medialis

5.74 ± 0.16u

5.31 ± 0.15v

5.27 ± 0.15v

4.63 ± 0.15w

4.56 ± 0.16w

4.01 ± 0.15x

3.87 ± 0.16x

u,v,w,x,y,zMeans in the same row lacking common superscript letters differ (P < 0.05).

Table 5. Categorization of muscles by responsiveness to postmortem aging

Muscle

Upper 2/3 USDA Choice

Aging responsea

USDA Select

Aging responsea

Complexus

Moderate

Moderate

Longissimus dorsi

Moderately high

High

Semimembranosus

Moderate

High

Semitendinosus

Moderate

Moderate

Serratus ventralis

Moderately low

Moderately low

Spinalis dorsi/Multifidus dorsi

Moderately low

Moderate

Supraspinatus

Moderate

Moderate

Vastus lateralis

Moderate

Moderate

Vastus medialis

Moderately high

Moderately high

aChange in WBSF from 2 to 28 days postmortem. High = ≥ 2.3 kg; Moderately high = 2.2 to 1.8 kg; Moderate = 1.7 to 1.1 kg; Moderately low = 1.0 to 0.7 kg; Low = ≤ 0.6 kg.

Table 6. Warner-Bratzler shear force (WBSF) for upper 2/3 Choice muscles at 2 days postmortem (kg), the change in shear force through 28 days postmortem, and the percentage (%) of that change completed at each of 6 postmortem aging periods.

                                                                                                               Days postmortem

Muscle

2-Day WBSFa

Aging response (kg)b

4

6

10

14

21

28

Complexus

5.39

1.5

20.2

36.7

60.8

76.6

92.4

100.0

Longissimus dorsi

5.63

2.0

38.5

62.2

85.7

94.7

99.2

100.0

Semimembranosus

5.96

1.4

32.4

54.4

79.4

90.9

98.1

100.0

Semitendinosus

6.10

1.4

30.1

51.2

76.4

88.9

97.5

100.0

Serratus ventralis

4.11

0.9

9.5

18.6

35.9

52.0

77.5

100.0

Spinalis dorsi/Multifidus dorsi

4.54

1.0

34.3

56.9

81.6

92.3

98.5

100.0

Supraspinatus

5.83

1.4

37.2

60.5

84.5

94.0

99.0

100.0

Vastus lateralis

5.70

1.5

22.9

40.8

65.6

80.7

94.0

100.0

Vastus medialis

5.60

1.8

24.7

43.5

68.7

83.1

95.3

100.0

aWBSF at two days postmortem predicted by non-linear regression model. 
bAging response = Predicted WBSF day 2 – Predicted WBSF day 28.

Table 7. Warner-Bratzler shear force (WBSF) for Select muscles at 2 days postmortem (kg), the change in shear force through 28 days postmortem, and the percentage (%) of that change completed at each of 6 postmortem aging periods. 

                                                                                                                                     Days postmortem

Muscle

2-Day WBSFa

Aging response (kg)b

4

6

10

14

21

28

Complexus

6.06

1.7

9.6

18.9

36.4

52.5

77.9

100.0

Longissimus dorsi

5.63

2.5

14.7

27.6

49.1

65.8

86.6

100.0

Semimembranosus

7.34

2.3

22.9

40.7

65.5

80.6

94.3

100.0

Semitendinosus

6.32

1.6

19.6

35.6

59.5

75.5

91.9

100.0

Serratus ventralis

4.68

1.0

12.0

23.1

42.6

59.2

82.5

100.0

Spinalis dorsi/Multifidus dorsi

4.83

1.3

18.7

34.2

57.7

73.9

91.1

100.0

Supraspinatus

5.96

1.6

19.2

35.0

58.7

74.8

91.5

100.0

Vastus lateralis

6.18

1.6

25.5

44.7

69.9

84.1

95.7

100.0

Vastus medialis

5.71

1.9

15.8

29.6

51.7

68.4

88.1

100.0

aWBSF at two days postmortem predicted by non-linear regression model. 
bAging response = Predicted WBSF day 2 – Predicted WBSF day 28.

Table 8. Rank of USDA Select beef muscles by Warner-Bratzler shear force (WBSF) at two days of postmortem aging, and an index value of individual muscle tenderness at two days postmortem (Longissimus dorsi = 100)

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Serratus ventralis

4.67z

0.16

142

2

Spinalis dorsi/Multifidus dorsi

4.99z

0.16

133

3

Vastus medialis

5.74y

0.16

116

4

Supraspinatus

6.00xy

0.16

111

5

Complexus

6.13wx

0.16

108

6

Vastus lateralis

6.23wx

0.16

107

7

Semitendinosus

6.41vw

0.16

104

8

Longissimus dorsi

6.64uv

0.16

100

9

Semimembranosus

7.41u

0.16

89

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
u,v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 9. Rank of USDA Select beef muscles by Warner-Bratzler shear force (WBSF) at four days of postmortem aging, and an index value of individual muscle tenderness at four days postmortem (Longissimus dorsi = 100)

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Spinalis dorsi/Multifidus dorsi

4.45z

0.15

143

2

Serratus ventralis

4.60z

0.15

138

3

Vastus medialis

5.31y

0.15

120

4

Supraspinatus

5.68xy

0.15

112

5

Vastus lateralis

5.70x

0.15

111

6

Complexus

5.87x

0.15

108

7

Semitendinosus

5.88x

0.15

108

8

Longissimus dorsi

6.36w

0.15

100

9

Semimembranosus

6.81v

0.15

93

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 10. Rank of USDA Select beef muscles by Warner-Bratzler shear force (WBSF) at six days of postmortem aging, and an index value of individual muscle tenderness at six days postmortem (Longissimus dorsi = 100)

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Spinalis dorsi/Multifidus dorsi

4.23z

0.15

140

2

Serratus ventralis

4.42z

0.15

134

3

Vastus medialis

5.27y

0.15

112

4

Supraspinatus

5.29y

0.15

112

5

Vastus lateralis

5.48xy

0.15

108

6

Complexus

5.58wxy

0.15

106

7

Semitendinosus

5.72wx

0.15

103

8

Longissimus dorsi

5.91vw

0.15

100

9

Semimembranosus

6.21v

0.15

95

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 11. Rank of USDA Select beef muscles by Warner-Bratzler shear force (WBSF) at 10 days of postmortem aging, and an index value of individual muscle tenderness at 10 days postmortem (Longissimus dorsi = 100)

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Spinalis dorsi/Multifidus dorsi

4.22z

0.15

130

2

Serratus ventralis

4.24yz

0.15

130

3

Vastus medialis

4.62xy

0.15

119

4

Vastus lateralis

4.93wx

0.15

111

5

Supraspinatus

5.08vw

0.15

108

6

Complexus

5.28uvw

0.15

104

7

Semitendinosus

5.43tuv

0.15

101

8

Longissimus dorsi

5.50tu

0.15

100

9

Semimembranosus

5.81t

0.15

95

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
t,u,v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 12. Rank of USDA Select beef muscles by Warner-Bratzler shear force (WBSF) at 14 days of postmortem aging, and an index value of individual muscle tenderness at 14 days postmortem (Longissimus dorsi = 100)

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Spinalis dorsi/Multifidus dorsi

4.01z

0.16

125

2

Serratus ventralis

4.03z

0.16

125

3

Vastus medialis

4.56y

0.16

110

4

Supraspinatus

4.85xy

0.16

103

5

Vastus lateralis

5.00x

0.16

100

6

Longissimus dorsi

5.01x

0.16

100

7

Complexus

5.19x

0.16

96

8

Semitendinosus

5.20x

0.16

96

9

Semimembranosus

5.69w

0.16

88

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 13. Rank of USDA Select beef muscles by Warner-Bratzler shear force (WBSF) at 21 days of postmortem aging, and an index value of individual muscle tenderness at 21 days postmortem (Longissimus dorsi = 100)

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Spinalis dorsi/Multifidus dorsi

3.70z

0.15

122

2

Serratus ventralis

3.91z

0.15

115

3

Vastus medialis

4.01z

0.15

113

4

Longissimus dorsi

4.52y

0.15

100

5

Supraspinatus

4.52y

0.15

100

6

Vastus lateralis

4.80xy

0.15

94

7

Semitendinosus

4.82xy

0.15

94

8

Complexus

4.87xy

0.15

93

9

Semimembranosus

5.08x

0.15

89

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 14. Rank of USDA Select beef muscles by Warner-Bratzler shear force (WBSF) at 28 days of postmortem aging, and an index value of individual muscle tenderness at 28 days postmortem (Longissimus dorsi = 100). 

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Spinalis dorsi/Multifidus dorsi

3.52z

0.15

120

2

Serratus ventralis

3.63z

0.15

116

3

Vastus medialis

3.87yz

0.16

109

4

Longissimus dorsi

4.21xy

0.15

100

5

Complexus

4.23xy

0.15

100

6

Supraspinatus

4.37wx

0.15

96

7

Vastus lateralis

4.43wx

0.15

95

8

Semitendinosus

4.74vw

0.15

89

9

Semimembranosus

4.96v

0.15

85

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 15. Rank of upper 2/3 USDA Choice beef muscles by Warner-Bratzler shear force (WBSF) at two days of postmortem aging, and an index value of individual muscle tenderness at two days postmortem (Longissimus dorsi = 100). 

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Serratus ventralis

4.10z

0.14

138

2

Spinalis dorsi/Multifidus dorsi

4.59y

0.14

123

3

Complexus

5.48x

0.14

103

4

Vastus medialis

5.48x

0.14

103

5

Longissimus dorsi

5.64wx

0.14

100

6

Vastus lateralis

5.76wx

0.14

98

7

Semimembranosus

5.92vw

0.14

95

8

Supraspinatus

5.94vw

0.14

95

9

Semitendinosus

6.17v

0.14

91

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 16. Rank of upper 2/3 USDA Choice beef muscles by Warner-Bratzler shear force (WBSF) at four days of postmortem aging, and an index value of individual muscle tenderness at four days postmortem (Longissimus dorsi = 100)

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Spinalis dorsi/Multifidus dorsi

4.05z

0.14

121

2

Serratus ventralis

4.06z

0.13

121

3

Complexus

4.88y

0.13

100

4

Longissimus dorsi

4.90y

0.13

100

5

Supraspinatus

5.05xy

0.13

97

6

Vastus lateralis

5.29wx

0.13

93

7

Vastus medialis

5.39vw

0.13

91

8

Semimembranosus

5.63v

0.14

87

9

Semitendinosus

5.63v

0.13

87

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 17. Rank of upper 2/3 USDA Choice beef muscles by Warner-Bratzler shear force (WBSF) at six days of postmortem aging, and an index value of individual muscle tenderness at six days postmortem (Longissimus dorsi = 100). 

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Serratus ventralis

3.96z

0.13

108

2

Spinalis dorsi/Multifidus dorsi

4.09yz

0.14

105

3

Longissimus dorsi

4.31y

0.13

100

4

Vastus medialis

4.70x

0.13

91

5

Complexus

4.90wx

0.14

88

6

Supraspinatus

5.06w

0.13

85

7

Semimembranosus

5.08w

0.13

85

8

Vastus lateralis

5.09w

0.13

84

9

Semitendinosus

5.21w

0.13

83

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 18. Rank of upper 2/3 USDA Choice beef muscles by Warner-Bratzler shear force (WBSF) at ten days of postmortem aging, and an index value of individual muscle tenderness at ten days postmortem (Longissimus dorsi = 100). 

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Spinalis dorsi/Multifidus dorsi

3.68z

0.13

107

2

Serratus ventralis

3.69yz

0.13

107

3

Longissimus dorsi

3.94xy

0.13

100

4

Vastus medialis

4.26x

0.14

92

5

Complexus

4.64w

0.13

85

6

Supraspinatus

4.71w

0.13

84

7

Vastus lateralis

4.73w

0.13

83

8

Semimembranosus

4.82vw

0.13

82

9

Semitendinosus

5.13v

0.13

77

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 19. Rank of upper 2/3 USDA Choice beef muscles by Warner-Bratzler shear force (WBSF) at 14 days of postmortem aging, and an index value of individual muscle tenderness at 14 days postmortem (Longissimus dorsi = 100). 

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Spinalis dorsi/Multifidus dorsi

3.63z

0.15

109

2

Serratus ventralis

3.68yz

0.14

108

3

Longissimus dorsi

3.97xy

0.14

100

4

Vastus medialis

4.05x

0.15

98

5

Complexus

4.16x

0.14

96

6

Vastus lateralis

4.57w

0.14

87

7

Supraspinatus

4.60w

0.14

86

8

Semimembranosus

4.67vw

0.14

85

9

Semitendinosus

4.94v

0.14

80

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 20. Rank of upper 2/3 USDA Choice beef muscles by Warner-Bratzler shear force (WBSF) at 21 days of postmortem aging, and an index value of individual muscle tenderness at 21 days postmortem (Longissimus dorsi = 100). 

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Serratus ventralis

3.48z

0.13

105

2

Spinalis dorsi/Multifidus dorsi

3.48z

0.14

105

3

Longissimus dorsi

3.67yz

0.13

100

4

Vastus medialis

3.91xy

0.13

94

5

Complexus

4.03x

0.13

91

6

Vastus lateralis

4.36w

0.13

84

7

Supraspinatus

4.36w

0.14

84

8

Semimembranosus

4.69v

0.13

78

9

Semitendinosus

4.81v

0.14

76

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 21. Rank of upper 2/3 USDA Choice beef muscles by Warner-Bratzler shear force (WBSF) at 28 days of postmortem aging, and an index value of individual muscle tenderness at 28 days postmortem (Longissimus dorsi = 100). 

Rank

Muscle

WBSF (kg)

SEM

Tenderness indexa

1

Serratus ventralis

3.20z

0.13

111

2

Spinalis dorsi/Multifidus dorsi

3.55y

0.14

100

3

Longissimus dorsi

3.55y

0.13

100

4

Vastus medialis

3.74xy

0.13

95

5

Complexus

3.92wx

0.13

91

6

Vastus lateralis

4.17vw

0.13

85

7

Supraspinatus

4.32uv

0.13

82

8

Semimembranosus

4.45uv

0.13

80

9

Semitendinosus

4.51u

0.13

79

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi / Mean WBSF (kg) of the individual muscle} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle. 
u,v,w,x,y,zMeans in the same column lacking common superscript letters differ (P < 0.05).

Table 22. Index valuea of individual muscle tenderness for upper 2/3 Choice muscles at 7 postmortem aging periods ( 14 day upper 2/3 Choice Longissimus dorsi = 100). 

                                                                                                                              Days postmortem

Muscle

2

4

6

10

14

21

28

Complexus

72

81

81

86

95

99

102

Longissimus dorsi

70

81

92

101

100

108

112

Semimembranosus

67

71

78

82

85

85

89

Semitendinosus

64

71

76

77

80

83

88

Serratus ventralis

97

98

100

108

108

114

124

Spinalis dorsi/Multifidus dorsi

86

98

97

108

109

114

112

Supraspinatus

67

79

78

84

86

91

92

Vastus lateralis

69

75

78

84

87

91

95

Vastus medialis

72

74

84

93

98

102

106

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi at 14 days postmortem/ Mean WBSF (kg) of the individual muscle at each respective aging period} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle at 14 days postmortem.

Table 23. Index valuea of individual muscle tenderness for Select muscles at 7 postmortem aging periods ( 14 day Select Longissimus dorsi = 100)

                                                                                                                               Days postmortem

Muscle

2

4

6

10

14

21

28

Complexus

82

85

90

95

97

103

118

Longissimus dorsi

75

79

85

91

100

111

119

Semimembranosus

68

74

81

86

88

99

101

Semitendinosus

78

85

88

92

96

104

106

Serratus ventralis

107

109

113

118

124

128

138

Spinalis dorsi/Multifidus dorsi

100

113

118

118

125

135

142

Supraspinatus

84

88

95

99

103

111

115

Vastus lateralis

80

88

91

102

100

104

113

Vastus medialis

87

94

95

108

110

125

129

aTenderness Index = {Mean WBSF (kg) of the longissimus dorsi at 14 days postmortem/ Mean WBSF (kg) of the individual muscle at each respective aging period} * 100. Tenderness index values greater than 100 indicate more desirable values for tenderness than the longissimus dorsi muscle at 14 days postmortem.

Figure 1. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for upper 2/3 Choice complexus at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 2. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for Select complexus at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 3. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for upper 2/3 Choice longissimus dorsi at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 4. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for Select longissimus dorsi at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 5. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for upper 2/3 Choice semimembranosus at 7 postmortem aging periods. and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 6. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for Select semimembranosus at 7 postmortem aging periods. and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 7. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for upper 2/3 Choice semitendinosus at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 8. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for Select semitendinosus at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 9. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for upper 2/3 Choice serratus ventralis at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 10. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for Select serratus ventralis at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 11. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for upper 2/3 Choice spinalis dorsi at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 12. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for Select spinalis dorsi at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 13. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for upper 2/3 Choice supraspinatus at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 14. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for Select supraspinatus at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 15. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for upper 2/3 Choice vastus lateralis at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 16. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for Select vastus lateralis at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 17. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for upper 2/3 Choice vastus medialis at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).

Figure 18. Least squares means ± standard error of the mean of Warner-Bratzler shear force (WBSF) for Select vastus medialis at 7 postmortem aging periods, and the non-linear regression model fit to these points. The variable “age” is the days of postmortem aging. The R2 is the maximum proportion of total variability explained by the model. The constant "e" equals the base of the natural logarithm (2.718282).