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www.wjpps.com Vol 9, Issue 9, 2020. 43 Vitolo. World Journal of Pharmacy and Pharmaceutical Sciences MEMBRANE REACTOR APPLIED TO ENZYME CONVERSION OF SUCROSE AND GLUCOSE Michele Vitolo* School of Pharmaceutical Sciences, University of São Paulo, Brazil. ABSTRACT Membrane reactor (MR) is a pressure-resistant glass or stainless-steel vessel coupled with a nano-, ultra-, or microfiltration membrane. The MR aims to integrate catalytic conversion, product separation or concentration, catalyst retention, and recuperation in a same operation. There are three types of MR (direct contact, diffusion contact, and interfacial contact). This work addresses sucrose hydrolysis and glucose oxidation by invertase and glucose oxidase (GO), respectively. The MR operated in batch, fed-batch (linear or exponential decreasing feeding), or continuous mode. The best yields (sucrose 100% and glucose 72%) occur in fed-batch operated in linear decreasing mode. Moreover, multi-enzyme (invertase, GO, and catalase) sucrose/gluconic acid conversion conducted in MR operates in fed-batch and continuous modes and results in yields of 72% and 92%, respectively. KEYWORDS: Sucrose, glucose, membrane reactor, fed-batch, invertase, glucose oxidase. INTRODUCTION A membrane reactor (MR) is a pressure-resistant glass or stainless-steel vessel (always sealed with a thick stainless-steel lid) coupled with a nano-, ultra-, or microfiltration membrane. Table 1 shows some characteristics of the membrane. The membranes, independently of pore size, can have the format of a plate, a hollow fiber cartridge, or a spiral cartridge. [1] The MR aims to integrate catalytic conversion, product separation or concentration, catalyst retention, and recuperation in a same operation. WORLD JOURNAL OF PHARMACY AND PHARMACEUTICAL SCIENCES SJIF Impact Factor 7.632 Volume 9, Issue 9, 43-70 Research Article ISSN 2278 – 4357 Article Received on 29 June 2020, Revised on 19 July 2020, Accepted on 09 August 2020 DOI: 10.20959/wjpps20209-17060 *Corresponding Author Michele Vitolo School of Pharmaceutical Sciences, University of São Paulo, Brazil.

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www.wjpps.com Vol 9, Issue 9, 2020.

43

Vitolo. World Journal of Pharmacy and Pharmaceutical Sciences

MEMBRANE REACTOR APPLIED TO ENZYME CONVERSION OF

SUCROSE AND GLUCOSE

Michele Vitolo*

School of Pharmaceutical Sciences, University of São Paulo, Brazil.

ABSTRACT

Membrane reactor (MR) is a pressure-resistant glass or stainless-steel

vessel coupled with a nano-, ultra-, or microfiltration membrane. The

MR aims to integrate catalytic conversion, product separation or

concentration, catalyst retention, and recuperation in a same operation.

There are three types of MR (direct contact, diffusion contact, and

interfacial contact). This work addresses sucrose hydrolysis and

glucose oxidation by invertase and glucose oxidase (GO), respectively.

The MR operated in batch, fed-batch (linear or exponential decreasing

feeding), or continuous mode. The best yields (sucrose 100% and

glucose 72%) occur in fed-batch operated in linear decreasing mode.

Moreover, multi-enzyme (invertase, GO, and catalase) sucrose/gluconic acid conversion

conducted in MR operates in fed-batch and continuous modes and results in yields of 72%

and 92%, respectively.

KEYWORDS: Sucrose, glucose, membrane reactor, fed-batch, invertase, glucose oxidase.

INTRODUCTION

A membrane reactor (MR) is a pressure-resistant glass or stainless-steel vessel (always sealed

with a thick stainless-steel lid) coupled with a nano-, ultra-, or microfiltration membrane.

Table 1 shows some characteristics of the membrane. The membranes, independently of pore

size, can have the format of a plate, a hollow fiber cartridge, or a spiral cartridge.[1]

The MR

aims to integrate catalytic conversion, product separation or concentration, catalyst retention,

and recuperation in a same operation.

WORLD JOURNAL OF PHARMACY AND PHARMACEUTICAL SCIENCES

SJIF Impact Factor 7.632

Volume 9, Issue 9, 43-70 Research Article ISSN 2278 – 4357

Article Received on

29 June 2020,

Revised on 19 July 2020,

Accepted on 09 August 2020

DOI: 10.20959/wjpps20209-17060

*Corresponding Author

Michele Vitolo

School of Pharmaceutical

Sciences, University of São

Paulo, Brazil.

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Table 1: Types of filtration membranes used in membrane reactors.

Membrane Pore size (Å) Retains Composition a

Microfiltration 105 - 10

3 Cells, organelles, cell fragments,

immobilized enzymes

Cellulose esters

Ultrafiltration 103 – 10 Enzymes c, viruses,

macromolecules (MW > 103 Da)

Polysulfone

Nanofiltration b 10 – 5 Ions, molecules (MW > 2x102 Da) Polyamides

a One of several materials used in the membrane construction;

b This category includes

membranes for reverse osmosis; c If the enzyme MW is 5-10% lower than the membrane cut

off, it can be entrapped into the membrane matrix, becoming an immobilized enzyme.

The plate membrane can be adapted to the bottom of the vessel or by a membrane module

connected in series with the vessel. The hollow fiber cartridge or spiral cartridge membrane is

packed inside the vessel. Considering the hydrodynamic configuration, these reactors can be

classified as continuous stirred-tank reactor (CSTR; plate membrane) or as piston-flux reactor

(PFR; cartridge membranes). The main difference between CSTR and PFR is the way the

substrate and the catalyst interact and how the substrate solution flows inside them. In CSTR

enzyme and substrate mix directly under mechanical stirring, whereas in PFR the substrate

must diffuse through the membrane to interact with the enzyme molecules surrounding the

cartridges. In PFR, the substrate solution is pressure-propelled inside the cartridges, which

are immersed into the enzyme solution or suspension (if the enzyme is in its immobilized

form).

Considering how the substrate-catalyst interaction occurs, there are three types of MR,

namely direct contact, diffusion contact, and interfacial contact.[2]

Direct contact MR (DC-MR) can operate with the enzyme free in solution (the membrane cut

off must be lower than the enzyme molecular weight) or immobilized. When immobilized,

two arrangements are possible: particles of immobilized enzyme are suspended in the

reaction medium, or the enzyme is bound to the membrane (the enzyme is confined on the

surface or within the membrane; in any case, the enzyme is confined between the membrane

and a gel layer of alginate, carragenan, pectin etc.).[3]

There are three types of DC-MR: A)

DC-MR with recirculation is constituted by a vessel in which the medium is continuously

stirred coupled in series with a membrane module. The membrane format can be a plate, a

tube shape (cylinder or spiral), or hollow fiber. Only the plate membrane is useful when the

enzyme is covered with a gel layer. B) Dead-End DC-MR also known as one-module MR

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resembles functionally a filtration cell in which all reaction events (mainly substrate

conversion and product separation) occur in one step. Only the plate membrane is useful in

this type of membrane reactor.[4]

C) DC-MR dialyzer is operated by introducing the substrate

in the side of membrane module containing the enzyme, and the product formed cross the

membrane impelled by a concentration gradient collected from a storage tank. Commonly,

there is recirculation of the product into the membrane module (Figure 1). DC-MR has been

used in bioconversions such as sucrose, cellulose, triglycerides, or starch hydrolysis,[3,5,6,7,8]

and for synthesis of L-alanine, D-2hydroxy caproic acid, glucose-6phosphate, or manitol,

[9,10,11,12]

Figure 1: Types of direct contact membrane reactors (DC-MR). (I) Dead-End DC-MR;

(II) DC-MR with recirculation; (III) DC-MR dialyzer.

Figure 2: Types of diffusion contact membrane reactors (dc-MR). (I) One-step dc-MR;

(II) One-step dc-MR with recirculation; (III) Double recirculation dc-MR.

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Diffusion contact MR (dc-MR) operates with the enzyme (soluble or insoluble) confined in

one side of the compartment delimited by a hollow fiber membrane, and the substrate fed at

the opposite side. As substrate molecules must diffuse passively across the membrane to

interact with the enzyme, the dc-MR can be considered a typical dialyzer. Such reactor can

only convert low MW compounds. The conversion substrate/product rate is diffusion-

dependent. There are three possible arrangements, namely one-step, one-step with

recirculation, and double recirculation (Figure 2). The dc-MR is used in the hydrolysis of

urea by urease and lactose by lactase, for instance.[13,14]

Figure 3: Types of interfacial contact membrane reactors (IC-MR). (I) Double-step IC-

MR; (II) Double-step IC-MR with recirculation; (III) One-step IC-MR with

recirculation.

The interfacial contact MR (IC-MR) has the enzyme inserted into the membrane matrix, and

the substrate solution flows through each side of the membrane. The IC-MR is useful for

enzymes requiring two substrates with different solubility. Thereby, the polar (PF) and non-

polar phases (NPF) can circulate independently. There are three different arrangements for

IC-MR, namely double-step, double-step with recirculation, and one-step with recirculation

(Figure 3). This reactor has been used for the synthesis of glycerides or hydrolysis of

triglycerides with lipase.[15,16]

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Generally, membrane reactors are designed to operate continuous processes. However, the

dead-end DC-MR is the only one that can also operate in batch and fed-batch modes.[17,18]

The advantage of using it instead of traditional reactors is because of the possibility of

enzyme reutilization. It is enough to pressurize the vessel to filtrate the product solution.

After washing with buffer solution or deionized water, the retained enzyme becomes

available for the next reaction.

As with any reactor, MR has advantages and disadvantages, listed in Table 2.

Table 2: Advantages and disadvantages of membrane reactors.

Advantages

Used for enzyme characterization (KM, Vmax, reaction conditions: pH, temperature, agitation

etc.) at a bench level. Dead-end DC-MR is recommended.

Used for controlled hydrolysis of macromolecules (partial collagen hydrolysis by protease,

creating peptides with low MW and viscosity, for example). Direct-contact membrane rectors

are recommended.

Operation in continuous mode.

Shifting of reaction equilibrium, when occurs, by separating one of the reagents continuously.

Removing of enzyme inhibitor generated during catalysis (inhibition by product).

No back mixing.

Catalysis and separation of product are simultaneous events.

Membrane can be used as enzyme immobilization support.

Reaction in double phases, avoiding emulsification. IC-MR is recommended.

Product obtained can be a concentrated product.

Coenzyme regeneration by bi-enzymatic process. IC-MR is recommended.

Disadvantages

Decrease in enzyme activity due to shearing forces, mainly with DC-MR.

Decrease in yield due to diffusion limitations arising from membrane polarization* or pore

obstruction.

Decrease in enzyme activity due to loss of cofactors.

Inadequate enzyme-membrane interaction.

Increase in product or substrate inhibition when the enzyme is immobilized directly on the

membrane surface.

Decrease in mass transfer through the membrane (convective or diffusive flux) during

separation process.

*Concentration polarization is the maximum accumulation of solute on the membrane

surface. This phenomenon is due to an unbalance between the convective flux of solute to the

membrane and the rate at which solute passes through the membrane.

Sucrose is an abundant natural disaccharide extracted mainly from sugarcane (tropical and

sub-tropical countries) and beet (cold countries). It is a product per se. It is crystallized from

sugarcane juice and used as food sweetener (table-sugar). Moreover, sucrose dissolved in

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sugarcane juice or in molasses (waste of sugar crystallization) is converted by yeast

fermentation into ethanol a compound used as fuel, reagent in alcohol-chemistry sectors,

and liquors. In Brazil, large bio-refinery facilities crush huge amounts of sugarcane stems,

resulting in a billion liters of stillage (residue from ethanol distillation, rich in potassium,

nitrate and organic substances, which is sprinkled over the soil where sugarcane is planted),

juice, and molasses. From juice and molasses tons of table-sugar and ethanol are obtained,

which are sold in the national and international markets. However, the markets for both

products are volatile because ethanol fuel competes with gasoline, whose prices vary

according to the price of petroleum in the world market, and table-sugar competes with other

producers (practically every tropical or sub-tropical country has huge sugarcane crops) and

problems related to climate change or uncontrolled plagues. Due to the instability of the

market, there may be a surplus of sucrose in bio-refineries, leading to an extra storage cost

and deterioration mainly due to absorption of humidity from the air, causing another problem

for the producer. A solution could be converting the sucrose into beverages/ethanol fuel by

fermentation. However, this might also lead to financial losses because refined sugar itself

has aggregate value. A possible reduction in the demand for ethanol might also increase sugar

accumulation in bio-refineries. Thus, converting sucrose into another valuable product, such

as glucose, fructose, gluconic acid, fructooligosaccharides, or high fructose syrup using an

efficient process, could transform eventual financial losses into profits.

The conversion of sucrose by invertase or -glucosidase into glucose and fructose, both

valuable reagents for the biotechnological and chemical industries as well as a mixture of

them makes the inverted sugar syrup also a marketable product. Other valuable

bioconversions are glucose oxidation into gluconic acid (used as acidulant, bleaching agent,

medicine, and cleaner of metallic surfaces), and fructose polymerization into

fructooligosaccharides by glucose oxidase and sucrose-6-fructosyl transferase (levansucrase),

respectively.[19,20]

The present study addresses the use of dead-end DC-MR operated in batch, fed-batch

(decreasing linear and exponential feeding laws), or continuous mode to hydrolyze sucrose

into glucose and fructose with invertase (E.C.3.2.1.26), and oxidize glucose into gluconic

acid with glucose oxidase (E.C.1.1.3.4).

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MATERIAL AND METHODS

MATERIAL

Invertase (INVERTIN®; 2,400 U/mL), sucrose (biochemical grade), glucose oxidase (5,600

U/g), catalase (E.C.1.11.1.6; 2,950 U/mg), and reagents (grade P.A.) were purchased from

MERCK, SIGMA and FLUKA. The spectrometric determinations were obtained using a

Beckman-Coulter spectrometer (Model DU 640). The membrane reactor – dead-end DC-MR

– was a 500-mL pressure-resistant-glass cell (Millipore®) containing a 100-kDa UF

membrane at the bottom (regenerated cellulose; Millipore®).

METHODS

Characterization of Invertase

Determination of invertase activity (standard assay)

In the DC-MR we introduced 108 mL of 0.010 M acetate buffer (pH 5.0). The reactor was

left in a water bath for ten minutes at 37 OC, followed by addition of 12 g of sucrose under

agitation of 100 rpm. After five minutes, 12 mL of 0.010 M acetate buffer (pH 5.0) invertase

solution (INVERTIN® diluted 5,000 times) were added to the reactor. Aliquots of 0.5 mL

were taken every two minutes until 12 min of reaction. The aliquots were introduced in test

tubes containing 0.5 mL of distilled water and 1.0 mL of Somogyi’s reagent, followed by

immersion into boiling water bath for ten minutes. Next, we determined reducing sugars

concentration (RS).[21]

Before enzyme addition, a 0.5-mL aliquot was taken to determine the

initial RS concentration (time zero).

We defined one invertase unit (UI) as the amount of RS formed (mg) per minute under the

conditions of the test.

Effects of pH, temperature, and substrate concentration on invertase activity

The standard assay was carried out by changing pH (3.5-6.0), temperature (30-50 OC) or

sucrose concentration (4.0 - 50.0 mM). The kinetic constants were calculated by Hanes-

Woolf plot.[22]

Activation energy (Ea) and enthalpy (H) were calculated by the equations:[23]

Ln v = (Ea) 2.303. (R.T) (Eq. 1)

H = Ea – R.T (Eq. 2)

Where v = invertase activity (UI/mL); R = universal gas constant (8.3144 J/mol.OK); T =

absolute temperature (OK).

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Effects of pH and temperature on invertase stability

In six beakers containing 60 mL of 0.010 M acetate buffer (pH 4.6 or 5.0), invertase was

dissolved to amount to a 5,000 times dilution in relation to the original INVERTIN®. The

beakers were left in a water bath at 37 OC for up to 30 h. After the times 0.5 h, 1 h, 2 h, 10 h,

20 h, and 30 h, 60 mL of 0.584 M sucrose buffered solution (0.010 M acetate buffer; pH 4.6)

were added to each beaker, and the reaction continued according to the standard assay. When

the acetate buffer pH was 5.0, the pH was lowered to 4.6 by adding ten drops of 1.0 M HCl

before adding sucrose solution. The final pH was verified using a Merck-strip indicator.

Characterization of glucose oxidase (GO)

Determination of GO activity (standard assay)

In a DC-MR we added 125 mL of 0.010 M acetate buffer (pH 5.0) and 0.15 g of glucose

under agitation of 100 rpm at 37 OC. Then, 25 mL of GO solution were added, and 1-mL

aliquots were taken every ten minutes until one hour of reaction. The samples were immersed

into boiling water bath and, after cooling, the hydrogen peroxide was measured at = 240

nm. Before GO addition, a 1-mL aliquot was taken to measure the hydrogen peroxide initial

concentration (time zero). Throughout the test, oxygen was bubbled into the medium,

amounting to a constant concentration of 4 ppm controlled by an automatic oxygen-meter.

We defined one GO unit (UGO) as the amount of H2O2 formed (mg) per minute under the

conditions of the test.

Effects of pH, temperature, and substrate concentration on GO activity

The standard assay was carried out by changing the pH (4.0-6.5), temperature (30-45 OC) or

glucose concentration (2.0-25.0 mM). The kinetic constants were calculated by Hanes-Woolf

plot. Activation energy (Ea) and enthalpy (H) were calculated by equations 1 and 2.

Effects of pH and temperature on GO stability

Six 50-mL volumetric flasks containing 25 mL of GO buffered solution (acetate buffer 0.010

M; pH 5.0) were immersed in water bath at 37 OC. At the times 0, 0.5 h, 1 h, 2 h, 10 h, 20 h,

and 30 h, the volume of every flask was added into a beaker containing 125 mL of 0.010 M

acetate buffer (pH 5.0), in which 0.15 g of glucose had been dissolved. The reaction

continued according to the standard assay.

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Sucrose hydrolysis by invertase in Dead-End DC-MR operated in batch mode

In the DC-MR we added 250 mL of 0.010 M acetate buffer (pH 5.0) and 19.2 g of sucrose.

The temperature was set at 37 OC, and the solution was left under agitation (100 rpm) for ten

minutes. Then, 50 mL of invertase solution (0.010 M acetate buffer; pH 5.0) were added, and

the reaction continued for 60 min. Every ten minutes, aliquots (1 mL) were taken for RS

determination.

Sucrose Hydrolysis by Invertase in Dead-End DC-MR Operated in Fed-Batch Mode

In the DC-MR we added 50 mL of 0.010 M acetate buffer (pH 5.0) and 50 mL of buffered

invertase solution. Then, 300 mL of sucrose solution (64 g/L) were added step by step

following a linear decreasing or exponential decreasing law represented by the equations: [24]

Vad = 0.6t – 0.3t2 (Eq. 3)

Vad = 0.7621 – 0.7621.e-0.5.t

(Eq. 4)

Where Vad = volume of sucrose solution added up to at a given moment (L); t = addition time

(h).

Both equations are valid for a one-hour filling up time, total volume added of 0.3 L, and

addition constants of 0.6 (L/h2) and 0.5 h

-1 for linear and exponential decreasing laws,

respectively (see Appendix). The samples for analytical purposes were taken at every

addition time before the addition of fresh substrate solution. The reaction was carried out at

37 OC and agitation of 100 rpm.

Glucose oxidation by GO in Dead-End DC-MR operated in fed-batch mode

In the DC-MR we introduced 50 mL of 0.010 M acetate buffer (pH 5.0) and 50 mL of GO

solution (7,000U). Then, 300 mL of a mixture of glucose (32 g/L) and catalase (236,000U)

were added step by step for four hours according to linear decreasing or exponential

decreasing laws, represented by the equations:[24]

Vad = 0.15t – 0.01875.t2 (Eq. 5)

Vad = 0.347 – 0.347.e-0.5t

(Eq. 6)

Where Vad = volume of glucose solution added up to at a given moment (L); t = addition time

(h).

Both equations are valid for a four-hour filling up time, total volume added of 0.3 L, and

addition constants of 0.0375 (L/h2) and 0.5 h

-1 for linear and exponential decreasing laws,

respectively (see Appendix). The samples for analytical purposes were taken at every

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addition time before the addition of fresh substrate solution. The reaction was carried out at

37 OC and agitation of 100 rpm.

To determine the residual amount of glucose, every sample was subjected to two

treatments.[25]

First, the residual amount of H2O2 present in 1 mL of sample was read directly

at = 240 nm. Secondly, 4.5 mL of catalase solution (295U) were mixed with 0.5 mL of

sample. The mixture was left at 37 OC for 30 min. Then, 0.1 mL of the catalase-treated

sample was mixed with 0.9 mL of distilled water and 1 mL of Somogyi-Nelson reagent.

Reducing sugars concentration was determined as described in another study.[21]

A blank was

prepared by mixing 0.5 mL of distilled water with 4.5 mL of catalase solution (295U). The

mixture was left at 37 OC for 30 min. Then, an aliquot of 0.1 mL was treated in the same way

as for RS determination.

Multi-enzyme conversion of sucrose in dead-end DC-MR operated in fed-batch mode

In the DC-MR we added 50 mL of invertase solution (776.6U) and 50 mL of glucose oxidase

solution (7,000U). Then, 300 mL of a mixture of sucrose (64 g/L) and catalase (236,000U)

were added step by step for four hours according to the linear decreasing law (Eq. 5). The

samples for analytical purposes were taken at every addition time before the addition of fresh

substrate solution. The reaction was carried out at 37 OC and agitation of 100 rpm.

Multi-enzyme conversion of sucrose in dead-end DC-MR operated in continuous mode

In the DC-MR we introduced 300 mL of acetate buffer solution (0.010 M; pH 5.0) containing

invertase (70.6U, 176.5U or 265U), GO (7,000U, 9,000U or 13,000U) and catalase

(236,000U, 354,000U or 531,000U). A sucrose solution (64 g/L, 100 g/L or 150 g/L) was

added continuously (100 mL/h) for 16 h. The residence time was three hours (dilution rate =

0.33 h-1

), and the internal pressure was 3 bar. Samples were taken every hour, at which the

amount of residual H2O2 and RS formed was determined. The process was carried out at 37

OC under continuous aeration and agitation at 100 rpm.

Analytical procedures

Determination of reducing sugars (RS)

The reducing sugars concentration, expressed as glucose, was evaluated by the Somogyi-

Nelson method as described in another study.[21]

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The determination was made in quintuplicate to determine the standard deviation ( 31x10-4

mg) and the variation coefficient (3%) of the method. The glucose concentration was changed

between 0.04 mg and 0.20 mg.

The standard minimum square linear regression equation was:

YRS = 2.13Xgluc + 37x10-4

(r = 0.9996) (Eq. 7)

Where YRS = absorbance read at 540 nm; Xgluc = glucose amount (mg).

Determination of hydrogen peroxide

The H2O2 concentration was evaluated by reading the absorbance of 1-mL solutions at =

240 nm. The amount of H2O2 varied between 0.05 mg and 0.60 mg. The mother-solution

consisted of H2O2 10V (pharmaceutical grade) diluted fiftyfold into distilled water (0.608

mg/mL of H2O2).

The determination was made in quintuplicate to determine the standard deviation ( 14x10-4

mg) and the variation coefficient (0.5%) of the method.

The standard minimum square linear regression equation was:

YHD = 1.60XHD + 49x10-3

(r = 0.9994) (Eq. 8)

Where YHD = absorbance read at 240 nm; XHD = H2O2 amount (mg).

Determination of soluble protein

The soluble protein concentration was determined by the difference of absorbance read at =

215 nm and at = 225 nm.[24]

A solution of albumin (0.1 g/L) was used to determine the

standard minimum square linear regression equation:

YP = (Y215nm – Y225nm) = 61x10-4

XP – 17x10-4

(r = 0.99994) (Eq. 9)

Where YP = difference of absorbance read at 215 nm and 225 nm; XP = protein amount (g).

The determination was made in quintuplicate to determine the standard deviation (2.045 g)

and the variation coefficient (2.5%) of the method.

The protein concentrations for invertase and glucose oxidase were 2.74 mg/mL and 0.0248

mg/mL, respectively.

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RESULTS AND DISCUSSION

Figures 4-8 show the characterization of invertase and GO in terms of activity, kinetic

constants, and effects of pH and temperature on activity and stability on both enzymes.

The activities of invertase and GO were calculated by the equations (Figure 4):

*YRS = 0.0341t – 0.0078 (r = 0.997) (Eq. 10)

YHP = 0.00091t – 0.0172 (r = 0.9994) (Eq. 11)

Where *YRS = concentration of reducing sugars (mg/mL); YHP = concentration of hydrogen

peroxide (mg/mL); t = reaction time (min).

Thereby, the invertase and GO activities were 0.0341 UI/mL (12.4x10-3

UI/mg of protein) and

91x10-5

UGO/mL (36.6x10-3

UGO/mg of protein), respectively.

Figure 4: Variation of RS (●) and H2O2 (□) concentrations versus time. Multiply the

time of GO activity by ten.

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Figure 5: Effects of pH on the activity of invertase (●) and glucose oxidase (■).

The optimum pH for invertase and GO was 4.5 and 5.5, respectively (Figure 5). The data

found in the literature report pHs of 4.6 and 5.0-5.6, respectively, for invertase and

GO.[25,26,27,28]

When both enzymes are used in a reaction (direct conversion of sucrose into

gluconic acid), the pH value of the medium must be set. Setting pH at 5.0 is reasonable

because the activities of invertase and GO differ only 7% and 4% from their values at the

respective optimum pHs.

Figure 6: Hanes-Woolf plot to determine kinetic constants for invertase (●) and glucose

oxidase (■). S = substrate concentration regarding sucrose or glucose.

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The minimum square linear regression equations regarding the lines shown in Figure 6 are:

(S/vI) = 20.45.(S) + 530.6 (r = 0.9996) (Eq. 12)

(S/vGO) = 0.033.(S) + 0.431 (r = 0.9995) (Eq. 13)

Where S= substrate (sucrose or glucose) concentration (mM); VI (UI/mL) and vGO (UGO/mL)

are activities of invertase and glucose oxidase.

Thereby, the kinetic constants for invertase and GO were (Vmax = 0.0489 UI/mL; KM = 25.9

mM) and (Vmax = 30.3 UGO/mL; KM = 13.1 mM), respectively.

Figure 7: Arrhenius plot to calculate the activation energy of the reaction catalyzed by

invertase (●) and glucose oxidase (■).

The minimum square linear regression equations regarding the lines shown in Figure 7 are:

Ln vI = 4,670. (1/T) + 11.8 (r = 0.997) (Eq. 14)

Ln vGO = 6,123.3.(1/T) + 12.8 (r = 0.998) (Eq. 15)

Thereby, the activation energy for invertase and GO reactions were 89.4 kJ/mol and 117.2

kJ/mol, respectively. By applying equation 2, the enthalpy for invertase and GO reactions

were 86.8 kJ/mol and 114.7 kJ/mol, respectively.

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Figure 8: Stability of invertase (●) and glucose oxidase (■) at 37

OC and pH 5.0.

Invertase and GO were stable for 30 h at 37 OC and pH 5.0 (Figure 8). This result is relevant

when both enzymes are used in long-duration continuous processes.

As the main enzymes for catalytic sucrose and glucose conversions were characterized

kinetically, we evaluated their performance in dead-end DC-MR operated in batch, fed-batch

(feeding laws: linear and exponential decreasing), and continuous form.

We used the batch form to set the total invertase activity needed to convert a sucrose solution

(64g/L) in one hour. This time was used as the filling-up time for the fed-batch. Figure 9

shows that the sucrose solution completely hydrolyzed in one hour with a total invertase

activity of 777 UI. Moreover, we observed that the fed-batch carried out either in linear

decreasing (LD) or exponential decreasing (ED) mode led to a complete sucrose hydrolysis,

although the average of hydrolysis rate was 0.40 g RS/min and 0.35 g RS/min for LD and

ED, respectively.

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Figure 9: Sucrose consumed in batch mode (●) and reducing sugars formed in fed-batch

modes: (■) linear decreasing and () exponential decreasing.

Figure 10: Percentage of residual glucose in the medium during glucose oxidation by

glucose oxidase in fed-batch linear decreasing (■) or exponential decreasing (●) mode.

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The oxidation of glucose into gluconic acid by glucose oxidase (GO) can be represented as

follows:

GO

GLUCOSE + O2 GLUCONIC ACID + H2O2

Thereby, the glucose/gluconic acid molar ratio is 1:1. According to Figure 10, the percentage

of residual glucose at the end of fed-batch was 30% (linear decreasing) and 39.4%

(exponential decreasing), which correspond to 22.4 g/L (0.124 moles) and 19.4 g/L (0.108

moles) of glucose consumed, respectively. These results led to concentrations of 24.3 g/L

(yield = 76%) and 21.2 g/L (yield = 66.3%) of gluconic acid obtained by linear decreasing

(LD) and exponential decreasing (ED) fed-batch, respectively. A complete glucose oxidation

was not achieved probably due to the accumulation of H2O2 in the reaction medium during

fed-batch operations. The concentrations at the end of the processes were 1.1 mg/mL (LD)

and 0.80 mg/mL (ED) (Figure 11). As already established, H2O2 concentrations over 0.04148

mg/mL are non-competitive inhibitors of GO by promoting the oxidation of Fe2+

(prosthetic

group of GO).[29]

The Fe2+

Fe3+

reaction leads to the formation of two forms of GO, i.e.,

GO-Fe2+

and GO-Fe3+

, the later less active.[30]

Despite the H2O2 concentration in ED being

27.3% lower than that of LD, conversion yields were opposite. This result could be explained

considering that glucose oxidation by GO is a five-step process:[30]

First: FAD-GO-Fe+2

+ G FADH2-GO-Fe+2

+ GA

Second: FADH2-GO-Fe+2

+ O2 H2O2 + FAD-GO-Fe+2

Third: FADH2-GO-Fe+2

+ H2O2 FADH2-GO-Fe+3

+ H2O + (1/2) O2

Fourth: FADH2-GO-Fe+3

+ O2 H2O2 + FAD-GO-Fe+3

Fifth: FAD-GO-Fe+3

+ G GA + FADH2-GO-Fe+3

Where G = glucose and GA = gluconic acid.

Accordingly, because the glucose addition rate in ED is lower than that of LD, the GO is

more susceptible to H2O2 non-competitive inhibition (third step), i.e., the formation of FAD-

GO-Fe3+

in ED is higher than in LD.

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Figure 11: Hydrogen peroxide formation during glucose oxidation by GO in fed-batch

operating in linear (●) and exponential (■) decreasing modes.

To circumvent H2O2 inhibition, we planned a linear decreasing fed-batch process in presence

of catalase aiming the decomposition of hydrogen peroxide into water and molecular oxygen

simultaneously to sucrose/gluconic acid conversion (Figure 12).

Figure 12: Percentage of reducing sugars (●) and concentration of hydrogen peroxide

(■) present in the medium in function of time. The reactor was filled (according to a

linear decreasing law) with sucrose (64 g/L) in presence of invertase (777U), GO

(7,000U), and catalase (236,000U).

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Figure 12 shows that the total percentage of reducing sugars was 63.75%, being 50% fructose

and 13.75% glucose. Thereby, the yield of gluconic acid was 72.5%. This yield is similar as

that obtained when the glucose oxidation occurred without catalase. We can thus assume that

glucose oxidation is the limiting step of sucrose/gluconic acid conversion as a consequence of

GO-Fe3+

formation. Similar tests conducted with catalase values over 236,000U were

impracticable due to the formation of a huge amount of bubbles inside the reactor.

In attempt to surpass the limiting yield of 72% of sucrose/gluconic acid conversion, we

designed a multi-enzyme test that operated the DC-MR in a continuous regime. Figures 13

and 14 show the preliminary results. .

Figure 13 shows that the steady-state occurred at all sucrose concentrations. The average

amount of reducing sugars was 3.30 g, 5.71 g, and 8.84 g for sucrose concentrations of 64

g/L, 100 g/L and 150 g/L, respectively. The yield (Y), expressed as gluconic acid/glucose

ratio (Eq. 16), was 92%, 80% and 76% for sucrose concentrations of 64 g/L, 100 g/L and 150

g/L, respectively (see Appendix).

Y = (GA)/(G)inlet = {(RSi) – [RSf – (F)]} (G)inlet (Eq. 16)

Where (GA) = gluconic acid (g), (G)inlet = amount of glucose to be oxidized by GO (g), (F) =

fructose (g), RSi = initial reducing sugars (g), and RSf = reducing sugars in the effluent (g).

Figure 13: Reducing sugars in function of time for continuous sucrose/gluconic acid

conversion. Operational conditions: flux of sucrose solution = 100 mL/h, residence time

= 3 h, medium volume = 300 mL, agitation = 120 rpm, 37 O

C, and pH 5.0. Sucrose

concentrations: 64 g/L (●), 100 g/L (O) and 150 g/L (■). The units of enzymes varied

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according to sucrose concentration: 64 g/L (Invertase = 70.6U; GO = 7,000U; catalase =

236,000U), 100 g/L (Invertase = 176.5U; GO = 9,000U; catalase = 354,000U), and 150

g/L (Invertase = 265U; GO = 13,000U; catalase = 531,000U).

Figure 14: Hydrogen peroxide in function of time for the continuous sucrose/gluconic

acid conversion. Operational conditions: flux of sucrose solution = 100 mL/h, residence

time = 3 h, medium volume = 300 mL, agitation = 120 rpm, 37 O

C, and pH 5.0. Sucrose

concentrations: 64 g/L (●), 100 g/L (■) and 150 g/L ().

Figure 14 presents data to calculate the average amounts of residual hydrogen peroxide. The

average amounts were 0.056 mg/mL, 0.104 mg/mL, and 0.158 mg/mL for tests carried out

with 64 g/L, 100 g/L and 150 g/L sucrose solutions, respectively. The residual amount of

H2O2 in the reaction medium, which is a function of the concentration of sucrose and the

activities of invertase, GO, and catalase, affect the yield of glucose/gluconic acid conversion.

The ideal would be to adjust enzyme activities and sucrose concentration to not surpass the

inhibitory effects of H2O2 (0.042 mg/mL) on glucose oxidase. In principle, increasing the

catalase activity to over 531,000U could be a good approach to improve the yield of the

process. However, a high catalase activity leads to intense bubbling inside the reactor, which

avoids reaching the steady-state. Moreover, the pipelines obstruct and the efficiency of

peristaltic pumps reduces. A yield increase could be achieved by changing the residence time,

whereas bubbling decreased by adding catalase in intermittent mode.

While chemical routes also electrochemical oxidation for the conversion of glucose into

gluconic acid are available, the fermentation, which uses Aspergillus niger as the production

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organism, is the commercial process of choice. This process allows converting a glucose

solution at concentrations between 200g/L and 240g/L into gluconic acid with a yield of over

99%.[31]

Thereby, the multienzyme continuous sucrose/gluconic acid conversion must be

improved to compete with fermentation. Meanwhile, even yields between 75% and 95%

obtained in the continuous process could be competitive if we consider the complexity of

fermentation in relation to enzymatic conversion (Table 3).

Table 3: Comparison between fermentation and multienzyme catalysis in gluconic acid

production.

Fermentation Multienzyme catalysis in DC-MR

Microbial strain modified genetically. Commercial enzymes.

Decay of fermentative capability during the

process (strain returns to the wild stage).

Activities preserved provided that the

reaction conditions do not change.

Aseptic process. No asepsis.

Complex culture medium* Simple reaction medium.**

Cells discharged after fermentation. Enzymes recycled.

Glucose is the main substrate. Sucrose is the only substrate.

Glucose is a medium-cost reagent. Sucrose is a commodity.

Complex composition of effluent and residues Clean effluent and no residues.

Main products: gluconic acid and glucono -

lactone.

Main products: fructose and gluconic

acid.

Inoculum preparation and propagation require a

specific fermentation facility.

Enzymes are directly dissolved in the

reactor.

The fermenter is fed with sterilized air. The reactor is fed with ambient air.

High production cost. Medium production cost.

Complex kinetic process: cell growth and product

synthesis require hundreds of enzymes.

The kinetics of the process depends on

the action of three enzymes.

Downstream requires 6-7 stages. Downstream requires 2-3 stages.

Volume handling higher than 103 L. Volume handling lower than 10

3 L.

pH changes along the process; strict control

required.

pH constant throughout the process.

*Composition: glucose (200-250 g/L), corn steep liquor (3-4 g/L), urea (0.1-0.3 g/L),

MgSO4.7H2O (3-4 g/L), KH2PO4 (0.2-0.4 g/L), and (NH4)2HPO4 (0.4-0.6 g/L).

**Composition: 0.01 M acetate buffer (pH 5.0) and sucrose (64-150 g/L).

CONCLUSION

The data presented allow us to conclude that dead-end DC-MR operated in continuous mode

with a pool of enzymes (invertase, glucose oxidase, and catalase) results in sucrose/gluconic

acid conversion yields between 76% and 92% depending on the initial sucrose concentration

(64 g/L, 100 g/L, or 150 g/L). Moreover, fed-batch carried out in linear decreasing feeding

mode results in yields of 100% and 72% for sucrose hydrolysis and glucose oxidation,

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respectively. In addition, when the multi-enzyme system was used under the same conditions,

the overall yield of sucrose/gluconic acid conversion was 72%. In this case, we did not obtain

a better conversion because the residual concentration of hydrogen peroxide was above 0.042

mg/mL, a condition that leads to a non-competitive inhibition of glucose oxidase.

Appendix

Fed-batch

Figure 15: Dead-end DC-MR operated in fed-batch mode.

The reactor is filled with a small volume of buffer solution containing the dissolved catalyst.

Volumes of substrate solution are added step by step up to a predetermined final volume. If

feeding is well planned, the end of reaction and the final volume are reached simultaneously.

No material is removed from the reactor (outlet zero), apart from normal sampling.

Moreover, the total quantity of material and the volume within the reactor increase in

function of time (Figure 15). In fed-batch, feeding obeys a specific addition law (exponential

decreasing, linear increasing, among others).[24]

The substrate (S) balance is

[Accumulation S rate] = [S feed rate in] – [S consumption rate] (I)

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The total mass balance can be represented as

[Mass accumulation rate] = [Mass flow rate feeding] (II)

If the density of the reaction medium remains constant, the relation II is

[Reactor volume changing rate (dV/dt)] = [Feeding volumetric rate (F)] (III)

Thus, the relation III can be written as follows:

F = dV/dt (Eq. 17)

However, F can vary along the fed-batch regimen following a certain type of addition law,

for example: constant [F = (Vf – Vi)/t], linear increasing (F = Fo + k.t), linear decreasing (F =

Fo – k.t), exponential increasing (F = Fo.ekt

), and exponential decreasing (F = Fo.e-kt

). Where

Fo = initial rate feeding (L/h), k = constant of addition (L/h2 or h

-1), t = addition time (h), Vf =

final volume (L), and Vi = initial volume (L).

As an example we set the linear and exponential decreasing feeding laws for addition of a

substrate solution to a DC-MR.

Linear decreasing [k(L/h2)]

F = Fo – kt (Eq. 18)

Equaling equations 17 and 18

dV/dt = Fo - kt (Eq. 19)

Expanding the differential and making the algebraic rearrangements:

Vad = (V – Vi) = Fo.t – (k.t2)/2 (Eq. 20)

When t = [filling time (h)], then V = Vf. Therefore, equation 20 is

(Vf – Vi) = Fo. - (k.2)/2 (Eq. 21)

As feeding obeys a decreasing linear law, F is zero. The addition rate (F) decreases as the

medium volume inside the reactor (V) increases, which can only be zero at the limit (t = )!

Therefore, equation 19 is:

Fo = k. (Eq. 22)

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Considering that, in this work, (Vf – Vi) = 0.3 L and = 1 h for fed-batch sucrose hydrolysis

by invertase, then equations 21 and 22 are:

0.3 = Fo – k/2 (Eq. 23)

Fo = k (Eq. 24)

By solving this equation system, k = 0.6 L/h2 and Fo = 0.6 L/h.

Replacing k and Fo in equation 20:

Vad = (V – Vi) = 0.6t – 0.3.t2 (Eq. 25)

Table 4 shows the results of setting a time interval for consecutive addition of sucrose

solution in the reactor, say t = 6 min (0.1 h), and using equation 25.

Exponential decreasing [k(h-1

)]

F = Fo.e-kt

(Eq. 26)

Equaling equations 17 and 26:

dV/dt = Fo.e-kt

(Eq. 27)

Expanding the differential and making the algebraic rearrangements:

Vad = (V – Vi) = -(Fo/k).(e-kt

-1) (Eq. 28)

When t = [filling time (h)], then V = Vf. Therefore, equation 28 is

(Vf – Vi) = -(Fo/k).(e-k

- 1) (Eq. 29)

Rearranging equation 28

- (Fo/k) = (V – Vi)/(e-kt

– 1) (Eq. 30)

Replacing equation 30 in equation 29

Vad = (Vf – Vi). [(e-kt

– 1)/(e-k

-1)] (Eq. 31)

Considering that, in this work, (Vf – Vi) = 0.3 L, = 1 h and k = 0.5 h-1

for fed-batch sucrose

hydrolysis by invertase, then equation 31 is:

Vad = 0.7621 – 0.7621.e-0.5t

(Eq. 32)

Table 4 shows the results of setting a time interval for consecutive addition of sucrose

solution in the reactor, say t = 6 min (0.1 h), and using equation 32.

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Table 4: Sucrose hydrolysis by invertase in dead-end DC-MR operated in fed-batch

regime in which the substrate solution (64 g/L) was added according to a linear

decreasing or exponential decreasing feeding law.

t (h) Linear decreasing Exponential decreasing

*Vad (mL) **V’ (mL) ***Msuc (g) Vad (mL) V’ (mL) Msuc (g)

0 57 57 3.648 37.2 37.2 2.3808

0.1 108 51 3.264 72.6 35.4 2.2656

0.2 153 45 2.880 106.2 33.6 2.1504

0.3 192 39 2.496 138.2 32.0 2.0480

0.4 225 33 2.112 168.7 30.5 1.9520

0.5 252 27 1.728 197.6 28.9 1.8496

0.6 273 21 1.344 225.2 27.6 1.7664

0.7 288 15 0.960 251.4 26.2 1.6768

0.8 297 9 0.576 276.3 24.9 1.5936

0.9 300 3 0.192 300 23.7 1.5168

1,0 - - - - - -

*Vad = Volume of sucrose solution added; **V’= volume to be added at each interval of 0.1h;

*** (Msuc) = mass of sucrose added.

A drill for the reader: Show how equations 5 and 6 were determined. Build a table – similar

as Table 4 for data related to glucose oxidation by glucose oxidase.

Consider the substrate solution (32 g/L) added to the reactor according to linear and

exponential decreasing laws. Consider: = 4 h, (Vf – Vi) 0.3 L, and addition time interval =

24 min (0.4 h).

Calculus of Gluconic Acid Yield [continuous process]

The estimate of glucose/gluconic acid conversion yield (Y), conducted in a dead-end DC-MR

operated in continuous regimen, is as follows:

[S]inlet = [S].(1 – 0.05) = RSi (Eq. 33)

Where [S]inlet = amount of sucrose added continuously to the reactor (g); [S] = amount of

sucrose in the original solution (g); RSi = amount of initial reducing sugars (g); 0.05 =

sucrose MW (glucose MW + fructose MW) = (342 360).

RSi = [F] + [G] = [F] + (RSi/2) (Eq. 34)

Where [F] = amount of fructose (g); [G] = (RSi/2) = amount of glucose (g).

As [G] is the only sucrose fraction that can be oxidized into gluconic acid by GO, then:

[G]inlet = [GA] + [G]out = (RSi/2) (Eq. 35)

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Where [GA] = amount of gluconic acid (g); [G]out = residual amount of glucose (g); [G]inlet =

amount of glucose available to GO (g).

[G]out = RSf – [F] (Eq. 36)

Where RSf = final amount of reducing sugars (g).

Combining equations 35 and 36 and rearranging:

[GA] = (RSi/2) – {RSf – [F]} (Eq. 37)

Finally,

Y = [GA]/[G]inlet = 100.{(RSi/2) – (RSf – [F])} [G]inlet (Eq. 38)

As an example, below is the calculus of continuous multi-enzyme conversion of sucrose (64

g/L) at a feeding rate of 100 mL/h (Figure 13):

[S]inlet = 6.4 x 0.05 = 6.08 g = RSi

[G]inlet = 3.04 g and [F] = 3.04 g

RSf = amount of reducing sugars at the steady-state = 3.30 g

Y = [GA]/[G]inlet = 100. [3.04 – (3.30 – 3.04)]/3.04 = 91.5%

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