Table 3. Effect of internal diffusional restrictions on glyoxyl-agarose immobilized penicillin acylase of different particle size and protein loadings. LP: large particle size (average diameter 105.1 µm); SP small particle size (average diameter 51.1 µm); IP: immobilized protein in g/g_biocat; v: initial effective reaction rate in moles/min x g_protein; η: biocatalyst effectiveness factor; V_max: intrinsic maximum reaction rate in mM/min; Φ: substrate Thiele modulus. Subscripts in v and η refer to penicillin concentration (mM).

Biocatalyst

IP

v₂

v₁₀

v₂₅

η₂

η₁₀

η₂₅

V_max

φ

LP1

0.0154

10.91

14.26

14.26

0.738

0.820

0.805

268.8

2.40

LP2

0.0341

5.32

11.02

13.11

0.360

0.633

0.740

595.1

3.57

LP3

0.0530

3.79

11.15

13.57

0.256

0.641

0.765

925.0

4.45

LP4

0.0691

2.72

9.85

13.23

0.184

0.566

0.746

1206.0

5.08

LP5

0.0824

2.28

8.44

12.19

0.154

0.485

0.688

1438.1

5.55

LP6

0.0912

2.27

7.89

10.59

0.153

0.453

0.597

1591.7

5.84

SP1

0.0154

10.79

12.91

13.88

0.730

0.742

0.783

268.8

1.17

SP2

0.0341

10.82

12.72

13.48

0.732

0.731

0.760

595.1

1.74

SP3

0.0529

6.98

11.15

13.31

0.472

0.641

0.751

923.3

2.16

SP4

0.0698

5.38

11.42

13.64

0.364

0.656

0.769

1218.2

2.48

SP5

0.0843

5.07

11.38

13.30

0.343

0.654

0.750

1471.3

2.73

SP6

0.0893

4.21

10.53

11.90

0.285

0.605

0.671

1558.5

2.81