Method for highly sensitive determination of NADH using kinase
BACKGROUND OF THE INVENTION 
     The present invention permits accurate diagnoses mainly of diseases and the like by highly sensitive determination of a substance capable of serving as a marker of pathosis, by the use of an NADH kinase highly specific for NADH, and can be utilized in the fields of clinical diagnoses, therapeutics, etc. 
     DESCRIPTION OF THE PRIOR ART 
     Now, there is widely employed a diagnostic method in which the amount of a substance capable of serving as a marker of pathosis is determined using an enzymatic reaction. However, there exist trace markers which are difficult to measure by conventional methods, and the amount of a test fluid is limited to a slight amount in some cases, for example, medical examinations of newborn babies. Highly sensitive analytical methods capable of solving such problems are desirable. 
     One of such methods is a sensitizing analytical method using a cycling reaction. As the cycling reaction, there are known β-NAD +  ←→β-NADH cycling reaction, β-NADP +  ←→β-NADPH cycling reaction, etc. [&#34;Seikagaku Jikken Koza (Biochemical Experiments)&#34;, Vol. 5, p. 121-131]. For example, as disclosed in Japanese Patent Unexamined Publication No. 59-213400, β-NAD +  can be determined with high sensitivity by phosphorylating only β-NAD +  in a solution containing β-NADH and β-NAD + , into β-NADP +  by the use of a kinase specific for β-NAD + , and subjecting the β-NADP +  to the cycling reaction. 
     However, when a slight amount of NADH is present in a mixture comprising NAD +  (hereinafter referring to β-NAD + , thio-NAD +  or α-NAD + ) and NADH (β-NADH, thio-NADH or β-NADH), it cannot be determined by the above method disclosed in Japanese Patent Unexamined Publication No. 59-213400. Therefore, there have heretofore been employed a flow injection assay using HPLC and a method comprising boiling (Japanese Patent Unexamined Publication No. 58-129994), but there methods are disadvantageous in that they require an expensive apparatus, a troublesome procedure and a long time. There are also a highly sensitive method comprising allowing β-NADH to cause luminescence by the use of luciferase and a method comprising allowing β-NADH to cause chemiluminescence, but these methods require a special and expensive detector and involve the problem of the stability of reagents. 
     SUMMARY OF THE INVENTION 
     In consideration of such conditions, the present inventors earnestly investigated a method for determining a slight amount of NADH with high sensitivity in the case where excess NAD +  is present. Consequently, it was found that this purpose can be achieved by the use of a kinase which acts specifically on NADH. As a result of further investigation, the present inventors found that also in a mixture comprising NAD +  and a slight amount of NADH, NADH can be determined with high sensitivity by phosphorylating only NADH into NADPH and subjecting the NADPH to the cycling reaction, and that highly sensitive determination of a slight amount of XTP can also be made possible, whereby the present invention was accomplished. 
     The present invention provides a method for highly sensitive determination of NADH which comprises allowing an NADH kinase highly specific for NADH (hereinafter referred to as the present enzyme) to act on a solution containing NAD +  and NADH, in the presence of divalent metal ions and XTP [wherein X is A (adenosine), U (uridine), G (guanosine), C (cytidine), I (inosine), dT (thymidine), dA (deoxyadenosine), dU (deoxyuridine), dG (deoxyguanosine), dC (deoxycytidine), or dI (deoxyinosine)], to produce XDP (wherein X is as defined above) and NADPH; subjecting the NADPH to the cycling reaction by using a catalytic reaction capable of oxidizing NADPH into NADP +  and a catalytic reaction capable of reducing NADP +  into NADPH; measuring the variable amount of a substrate consumed by the cycling reaction or a product produced by the cycling reaction; and thereby determining the amount of only NADH in the mixed solution containing NAD +  and NADH. 
     The present invention further provides a method for highly sensitive determination of XTP which comprises allowing an NADH kinase highly specific for NADH to act on a solution containing XTP [wherein X is A (adenosine), U (uridine), G (guanosine), C (cytidine), I (inosine), dT (thymidine), dA (deoxyadenosine), dU (deoxyuridine), dG (deoxyguanosine), dC (deoxycytidine), or dI (deoxyinosine)] in the presence of divalent metal ions and NADH to produce XDP (wherein X is as defined above) and NADPH; subjecting the NADPH to the cycling reaction by using a catalytic reaction capable of oxidizing NADPH into NADP +  and a catalytic reaction capable of reducing NADP into NADPH; measuring the variable amount of a substrate consumed by the cycling reaction or a product produced by the cycling reaction; and thereby determining the amount of XTP. 
     The above NAD +  includes β-NAD + , thio-NAD +  and α-NAD + . The above NADH includes β-NADH, thio-NADH and α-NADH. 
     The above divalent metal ion includes Mg 2+ , Mn 2+ , Ca 2+ , Co 2+ , etc. A catalyst for the oxidation includes dehydrogenases, diaphorases, NAD(P)H oxidase and electron carriers. The electron carriers include Meldola&#39;s Blue (9-dimethylamino-benzo-α-phenazoxonium chloride), 1-methoxy PMS (1-methoxy-5-methylphenazinium methylsulfate), PMS (methylphenazinium methylsulfate), PQQ (pyrroloquinoline quinone), etc. A catalyst for the reduction includes dehydrogenases, and NADP +  -dependent dehydrogenases are particularly preferable. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     In the accompanying drawings: 
     FIG. 1 is a graph showing the optimum pH of the present enzyme (   : phosphate buffer,    : Tris-HCl buffer,    : glycine-sodium hydroxide buffer). 
     FIG. 2 is a graph showing a pH range for stability of the present enzyme (  : phosphate buffer,    : Tris-HCl buffer,    : glycine-sodium hydroxide buffer). 
     FIG. 3 is a graph showing a range of temperature suitable for action of the present enzyme. 
     FIG. 4 is a graph showing the thermal stability of the present enzyme. 
     FIG. 5 shows a calibration curve obtained in Example 2 by plotting ΔOD 600nm  /min against NADH concentration. 
     FIG. 6 shows a calibration curve obtained in Example 3 by plotting ΔOD 600nm  /min against sodium cholate concentration. 
     FIG. 7 shows a calibration curve obtained by the use of β-NAD +  in Example 4 by plotting ΔOD 600nm  /min against sodium cholate concentration. 
     FIG. 8 shows a calibration curve obtained by the use of thio-NAD +  in Example 4 by plotting ΔOD 550nm  /min against sodium cholate concentration. 
     FIG. 9 is a diagram showing the correlation between measured values obtained by the present method and those obtained by the 3α-HSD-formazan method which was determined in Example 5. 
     FIG. 10 is a calibration curve obtained in Example 6 by plotting ΔOD 600nm  /min against the level of 3-hydroxybutylate dehydrogenase activity. 
     FIG. 11 is a calibration curve obtained in Example 7 by plotting ΔOD 550nm  /min against glycerin concentration. 
     FIG. 12 is a calibration curve obtained in Example 8 by plotting ΔOD 550nm  /min against the level of alcohol dehydrogenase activity. 
     FIG. 13 is a calibration curve obtained in Example 9 by plotting ΔOD 600nm  /min against ATP concentration. 
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     The present invention is explained below in detail. 
     First, an outline of reactions in the highly sensitive determination of the present invention is shown below. ##STR1## wherein the symbols have the following meanings: 
     E 1  : an oxidation catalyst capable of catalyzing a reaction by which NADP +  and P 1  may be produced from substrates NADPH and S 1 . 
     E 2  : a reduction catalyst capable of catalyzing a reaction by which NADPH and P 2  may be produced from substrates NADP +  and S 2 . 
     S 1  : an oxidized-form substrate for E 1 . 
     S 2  : a reduced-form substrate for E 2 . 
     P 1  : a reduced-form product produced from S 1  by E 1 . 
     P 2  : an oxidized-form product produced from S 2  by E 2 . 
     
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XTP: X    = A: adenosine-5&#39;-triphosphate                                  
          = U: uridine-5&#39;-triphosphate                                    
          = G: guanosine-5&#39;-triphosphate                                  
          = C: cytidine-5&#39;-triphosphate                                   
          = I: inosine-5&#39;-triphosphate                                    
          = dT: thymidine-5&#39;-triphosphate                                 
          = dA: 2&#39;-deoxyadenosine-5&#39;-triphosphate                         
          = dU: 2&#39;-deoxyuridine-5&#39;-triphosphate                           
          = dG: 2&#39;-deoxyguanosine-5&#39;-triphosphate                         
          = dC: 2&#39;-deoxycytidine-5&#39;-triphosphate                          
          = dI: 2&#39;-deoxyinosine-5&#39;-triphosphate                           
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     XDP: each of the same compounds as above except that triphosphate is replaced by diphosphate. 
     A solution to be tested by the method of the present invention may be any solution so long as it contains NAD +  and NADH as a mixture. As such a solution, there can be exemplified solutions containing both NAD +  and NADH, and solutions containing NADH liberated and produced by any of various enzymatic reactions. Specific examples of the solution are reaction solutions containing NADH produced from NAD +  consumed as substrate by enzymatic reaction by dehydrogenase, for example, the reaction solutions 1 to 20 shown below. These reactions systems exemplified, however, are not intended in any way to limit the solution to be tested by the method of the present invention. The solution to be tested by the method of the present invention may be any solution so long as it contains XTP. As such a solution, there can be exemplified reaction solutions containing XTP produced from XDP consumed by enzymatic reaction by kinase, for example, the reaction solutions 21 to 29 shown below. These reactions systems exemplified, however, are not intended in any way to limit the solution to be tested by the method of the present invention. 
     In the following formulas, the symbol &#34;DH&#34; is used as an abbreviation of dehydrogenase. ##STR2## 
     The solutions 1 to 20 are examples of solutions for determining NADH produced by enzymatic reaction by each dehydrogenase. In the case of these solutions, one of factors in such enzymatic reaction systems, i.e., the enzymatic activity of dehydrogenase, the amount of NAD +  and the amount of a substrate for the enzyme which is consumed together within NAD + , can be determined by determining the amount of NADH. The solutions 21 to 29 are examples of solutions for determining ATP produced by enzymatic reaction by each kinase. In the case of these solutions, one of factors in such enzymatic reaction systems, i.e., the enzymatic activity of kinase, the amount of ADP and the amount of a phosphorus-containing compound as substrate for the enzyme which is consumed together with ADP, can be determined by determining the amount of ATP. 
     The above substances to be quantitatively determined may be those produced by another series of reaction systems. In this case, one of factors participating in a reaction carried out at the very first can be quantitatively determined after all. 
     The above various enzymatic reactions can be carried out simultaneously with enzymatic reaction by NADH kinase. 
     An outline of the over-all reaction in this case is shown below. ##STR3## wherein the symbols have the following meanings: 
     E 0  : a dehydrogenase capable of catalyzing a reaction by which NADH and B are produced from substrates NAD +  and A. 
     A: a reduced-form substrate for dehydrogenase E 0 . 
     B: an oxidized-form product produced from A by dehydrogenase E 0 . 
     E 1 , E 2 , S 1 , S 2 , P 1  and P 2  : the same as defined above. 
     In the above enzymatic reaction systems, conditions (e.g. temperature, pH, and necessity for a stabilizer and metal ions) for carrying out the reactions are properly determined in accordance with conventional techniques. The reaction temperature may be usually 20° to 40° C. The pH at reaction is properly adjusted to 6.0 to 9.5 depending on an enzymatic reaction to be carried out, by choosing and using a suitable buffer solution having a pH in this pH range. As the buffer solution, there can be used, for example, phosphate buffers and various Good&#39;s buffers. The reaction time is a time required for each enzymatic reaction and is not critical. 
     As the NADH kinase used in the present invention, any kinase may be used so long as it acts specifically on NADH and has a stability sufficient for practical purposes. There can be exemplified NADH kinase having the following physicochemical properties (hereinafter referred to as &#34;the present enzyme&#34;). 
     (1) Action 
     The present enzyme, as shown in the reaction formula given below, catalyzes a reaction by which NADPH and XDP (wherein X is as defined above) are produced from substrates NADH and XTP (wherein X is as defined above) through phosphorylation of NADH in the presence of at least one kind of ions selected from the group consisting of Mg 2+ , Mn 2+ , Ca 2+  and Co 2+  ions. ##STR4## wherein X is as defined above. 
     (2) Substrate Specificity 
     The present enzyme has a very high specificity for NADH and hardly acts on NAD + . 
     The substrate specificity of the present enzyme was examined under the following reaction conditions. 
     
                       TABLE 1                                                     
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Substrate solution                                                        
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10 mM NADH or NAD.sup.+                                                   
                      0.2 ml                                              
0.5 mM HEPPS* buffer (pH 8.5)                                             
                      0.1 ml                                              
10 mM ATP             0.3 ml                                              
0.1 M magnesium chloride                                                  
                      0.1 ml                                              
2.0 M sodium acetate  0.1 ml                                              
                      0.9 ml                                              
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 *HEPPS: N2-Hydroxyethylpiperazine-N3-propanesulfonic acid                
 
    
     To 0.9 ml of each of the substrate solutions containing NADH or NAD + , respectively, shown in Table 1 was added 0.1 ml of 23 U/ml of the present enzyme, and the reaction was carried out at 30° C. for 20 minutes. Then, the reaction was terminated by heat treatment at 100° C. for 2 minutes, and the denatured protein was removed, after which the amount of NADPH or NADP +  produced by the reaction of the corresponding substrate was measured as follows. As a control solution, there was used a mixture of each substrate solution and the present enzyme in which the reaction had been terminated immediately after mixing them. 
     With 1 ml of each of the reaction solutions obtained in the above was mixed 1 ml of a color-producing solution consisting of 10 mM G-6-P, 50 mM HEPPS buffer (pH 8.0), 10 mM magnesium chloride, 0.1% bovine serum albumin, 2.5 IU/ml G-6-P dehydrogenase (NADP +  -dependent), 5 IU/ml diaphorase and 250 μM 2,6-dichlorophenolindophenol. The resulting mixture was immediately introduced into a constant-temperature cuvette of STASAR III spectrophotometer of Gilford and subjected to reaction at 30° C. Simultaneously with the reaction, the change of absorbance at 600 nm was measured with the lapse of time, and the difference (ΔOD 600nm  /min) between absorbance values 1 minute and 2 minutes after the initiation of the coloration reaction was taken as a measured value. As to the relative activity (%), a measured value (ΔOD 600nm  /min) obtained by using NAD +  as substrate was shown as a percentage based on a measured value (ΔOD 600nm  /min) obtained by using NADH as substrate. 
     The results obtained are as follows: 
     
                       TABLE 2                                                     
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Substrate          Relative activity (%)                                  
NADH               100                                                    
NAD.sup.+          0.9                                                    
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(3) Measuring method of titer                                             
Substrate solution                                                        
10 mM NADH         0.2 ml                                                 
0.5 M HEPPS buffer (pH 8.5)                                               
                   0.1 ml                                                 
10 mM ATP          0.3 ml                                                 
0.1 M magnesium chloride                                                  
                   0.1 ml                                                 
2.0 M sodium acetate                                                      
                   0.1 ml                                                 
Distilled water    0.1 ml                                                 
                   0.9 ml                                                 
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     0.9 Milliliters of the substrate solution containing NADH shown in Table 2 was preheated to 30° C., after which 0.1 ml of a solution of the present enzyme having an adequate concentration was added, and the reaction was carried out at 30° C. for 20 minutes. Thereafter, the reaction was terminated by heat treatment at 100° C. for 2 minutes, and the denatured protein was removed. Then, the amount of NADPH produced by the reaction of the substrate was measured as follows. As a control solution, there was used a mixture of the substrate solution and the present enzyme in which the reaction had been terminated immediately after mixing them. 
     With 1 ml of each of the reaction solutions obtained in the above was mixed 1 ml of a color-producing solution having the same composition as that of the color-producing solution described in the above item &#34;Substrate specificity&#34;. The resulting mixture was immediately introduced into a constant-temperature cuvette of STASAR III spectrophotometer of Gilford and subjected to reaction at 30° C. Simultaneously with the reaction, the change of absorbance at 600 nm was measured with the lapse of time, and the difference (ΔOD 600nm  /min) between absorbance values 1 minute and 2 minutes after the initiation of the coloration reaction was obtained as a measured value. By the use of a calibration curve of ΔOD 600nm  /min versus NADPH concentration previously prepared using NADPH solutions of known concentrations, the amount of the NADPH produced was calculated from the measured value. 
     An amount of the enzyme at which NADPH is produced in an amount of 1 nano-mole per minute at 30° C., is taken as 1 unit. 
     The Km value (Michaelis constant) of the present enzyme for NADH is 27 micromoles at 30° C. and pH 7.8 (Tris buffer). 
     (4) Optimum pH 
     The optimum pH of the present enzyme is, as shown in FIG. 1, pH 8.0-9.0 when NADH is used as a substrate. 
     (5) pH Range for Stability 
     The present enzyme was dissolved in each of buffer solutions of various pH, and after standing at 4° C. for 16 hours, the residual activity was measured to find that the enzyme was stable at pH 7.0-9.0 as shown in FIG. 2. 
     (6) Range of Temperature Suitable for Action 
     The range of temperature suitable for action of the present enzyme is 30° to 45° C. as shown in FIG. 3. 
     (7) Thermal Stability 
     The present enzyme was dissolved in a buffer solution, and after standing at each temperature for 10 minutes, the residual enzymatic activity was measured, whereby the thermal stability was measured. Consequently, the present enzyme showed residual activity percentages of 83% at 35° C., 60% at 40° C., and 30% at 45° C. as shown in FIG. 4. 
     (8) Inhibition, Activation and Stabilization 
     The present enzyme is strongly inhibited by SDS (sodium lauryl sulfate), p-CMB (p-chloromercuribenzoic Pb 2+ , Zn 2+ , Cd 2+ , Cu 2+ , Hg 2+ , etc., and is activated by sodium acetate, etc. In addition, it is stabilized by saccharose, Mg 2+ , Mn 2+ , dithiothreitol, N-acetyl-L-cysteine, ammonium sulfate, etc. 
     (9) Purification Method 
     The present enzyme can be purified by employing conventional methods for purification of enzymes, such as ion-exchange chromatography, ammonium sulfate fractionation, hydrophobic chromatography, gel filtration, etc. singly or in combination of two or more thereof. 
     (10) Molecular Weight 
     The molecular weight of the present enzyme is about 160,000 as measured by gel filtration using Superose 6 HR10/30 column [mfd. by Pharmacia AB (Sweden)] according to the method of Andrews [Biochem J. 96, 595 (1965)]. 
     (11) Isoelectric Point 
     The isoelectric point of the present enzyme is pl=6.40 as measured by electrophoresis by the use of an agarose gel containing an ampholyte. 
     Comparison between the present enzyme and NADH kinases described in well-known references, i.e., NADH kinase A (J. Biochem. 105, 588-593, 1989) and NADH kinase B (J. Biochem. 247, 1473-1478, 1972), is as shown in Table 3. 
     
                       TABLE 3                                                     
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       Present                                                            
       enyme     A           B                                            
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Source   Pichia      Saccharomyces                                        
                                 Saccharomyces                            
         membranae-  cerevisiae  cerevisiae                               
         faciens                                                          
Optimum pH                                                                
         8.5         8.5         8.0-8.5                                  
Thermal  10% inacti- 65%         Very                                     
stability                                                                 
         vated at 35° C.                                           
                     inactivated unstable                                 
         in 5 min.   at 35° C. in 5                                
         17% inacti- min.                                                 
         vated at 35° C.                                           
         in 10 min.                                                       
Specificity                                                               
         NADH = 100  NADH = 100  NADH = 100                               
         NAD.sup.+  = 0.9                                                 
                     NAD.sup.+  = 1.7                                     
                                 NAD.sup.+  = 1.6                         
Molecular                                                                 
         160,000     160,000                                              
weight                                                                    
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     As is clear from Table 3, the present enzyme is different from the known NADH kinases in enzymological and physicochemical properties and is superior to them particularly in thermal stability. Therefore, the present enzyme can be used for practical purposes, for example, highly sensitive analysis using the present enzyme in combination with other various enzymes, and hence is very advantageous. 
     The present enzyme may be produced by culturing Pichia membranaefaciens YS27 (FERM BP-3208) in a nutrient broth. The present enzyme may be reacted usually at a pH of approximately 6.5-9.5 and usually at approximately 20°-40° C. Although the amount of the enzyme used is not critical, it is usually approximately 1-500 units. 
     As the divalent metal ion required for the reaction with NADH kinase, such as magnesium ion, manganese ion, calcium ion or cobalt ion, there may be used water-soluble salts capable of releasing these metal ions, for example, magnesium chloride, manganese chloride and calcium chloride. In the reaction system, the water-soluble salts may be used usually in a concentration of approximately 0.1-100 mM, preferably 1-20 mM. 
     As to the amount of ATP used for determining NADH, excess ATP over NADH in the solution may be used. Usually, ATP is used preferably in a concentration of approximately 0.1-10 mM in the reaction system. 
     An excess amount of NADH over ATP in the solution may be used for determining the ATP, but NADH is preferably used in a concentration of about 0.05 to 5 mM in the reaction system. 
     When reaction with any of various enzymes for E 0  and enzymatic reaction with NADH kinase are carried out at the same time, or when a series of many enzymatic reactions are carried out at the same time, the reactions are carried out by properly choosing a temperature and a pH at which the over-all reaction can be smoothly carried out, and satisfying conditions concerning various additives and the like. 
     As the above-mentioned catalyst E 1  for oxidation of NADPH which is used in the present invention, any enzyme may be used so long as it acts on NADPH produced together with ADP by the enzymatic reaction of ATP and NADH with NADH kinase, to catalyze a reaction by which a reduced-from product P 1  and NADP +  are produced from the NADPH and an oxidized-form substrate S 1 . 
     As catalyst E 2  for reduction of NADP +  which is used for constitution of the cycling reaction in combination with catalyst E 1 , any enzyme may be used so long as it acts on NADP +  produced by E 1  as described above, to catalyze a reaction by which an oxidized-form product P 2  and NADPH are produced from the NADP +  and a reduced-form substrate S 2 . 
     When the enzymatic reactions by E 1  and E 2 , respectively, are carried out in combination, NADPH produced by NADH kinase is converted into NADP +  by E 1 , and the NADP +  is converted into NADPH by E 2 , after which this NADPH is returned to the reaction by E 1 . By this mechanism, the cycling reaction is constituted. 
     When at least either E 1  or E 2  is dependent on NADP + , no cycling reaction is constituted for NAD(H), and hence only NADPH can be determined with high sensitivity. 
     In every cycle of the cycling reaction, the reaction by E 1  results in consumption of S 1  in an amount equimolar with the amount of NADPH and production of equimolar amounts of P 1  and NADP + , and the reaction by E 2  results in consumption of S 2  in an amount equimolar with the amount of NADP +  and production of equimolar amounts of P 2  and NADPH. For a certain amount of NADPH in the solution, the rate of the cycling reaction is rapider than that of the reaction by E 1  alone. Therefore, each substrate is needed in an amount of a number of moles larger than the number of cycles, per mole of a component to be quantitatively determined. Usually, each substrate is used in large excess. For example, it can be used in an amount of 10 to 10,000 times as much as NADH in the solution. Each of E 1  and E 2  are used in the cycling reaction in an optional amount sufficient to carry out the cycling reaction. As this amount, an amount sufficient to attain a number of cycles which permits desired sensitization can be properly chosen depending on the amount of the component to be measured. For example, it is preferable to carry out 10 cycles or more of the reaction per minute. For this purpose, the amount of each enzyme used is preferably 1 to 100 units. When an electron carrier is used, its amount is preferably 0.01 to 10 mM. As the pH range for the cycling reaction, any pH range may be employed so long as in this range, the enzymes used are stable and act satisfactorily and the cycling reaction can be smoothly carried out. Usually, a pH range of approximately 6.0-9.5 may be employed by choosing a buffer solution properly. There can be used, for example, phosphate buffers and Good&#39;s buffers. The reaction is carried out usually at approximately 25°-40° C. for 1 minute or more, though the reaction temperature and the reaction time are not critical. 
     Next, for measuring a variable amount detectable in the cycling reaction, it is sufficient that the change of the amount of S 1  or S 2  consumed or the amount of P 1  or P 2  produced is measured. These components may be properly measured by a conventional method. Oxidase, peroxidase and the like which act on these components as a substrate, may be used singly or in combination. A particularly preferable example is as follows. When NADPH diaphorase is used as E 1  and a tetrazolium salt, 2,6-dichlorophenolindophenol or the like is used as S 1 , the variable amount in the cycling reaction can be observed as color development or fading of a dye. Therefore, the variable amount in the cycling reaction can easily be measured colorimetrically by measuring absorbance with the lapse of time simultaneously with the reaction. It is also possible to measure the variable amount after terminating the cycling reaction. When NAD(P)H oxidase is used as E 1  and peroxidase is allowed to act in combination therewith to introduce H 2  O 2  produced by NAD(P)H oxidase into a color-producing system, the variable amount in the cycling reaction can be measured either simultaneously with the reaction or after the termination of the reaction. 
     The amount of a component consumed in the cycling reaction or the amount of a component produced therein is thus determined, whereby the amount of NADH or ATP in the solution can be determined with high sensitivity by using a calibration curve for NADH or ATP, respectively. Furthermore, from the amount of NADH thus determined, one of factors in the enzymatic reaction system by dehydrogenase E 0  composed in the solution used, i.e., the enzymatic activity of E 0 , the amount of NAD +  and the amount of a substrate for dehydrogenase E 0 , can be determined. From the amount of ATP determined, one of factors in the enzymatic reaction system by kinase composed in the solution used, i.e., the enzymatic activity of kinase, the amount of ADP and the amount of a phosphorus-containing compound as substrate for kinase, can be determined. When the NAD., the substrate A, the ADP or the phosphorus-containing compound as substrate for kinase is produced by another series of reactions, one of factors participating in a reaction carried out at the very first can be quantitatively determined after all. 
     The enzymes and necessary reagents which are used for carrying out the quantitation according to the present invention may be stored in the form of aqueous solution(s) or dry powder(s) as one system or a plurality of systems. The amounts of the enzymes and the necessary reagents used are determined and aqueous solutions of a proper combination of the enzymes and the reagents are used for the quantitation. Although the volumes of the aqueous solutions used per test are not critical, they are usually about 50 μl to about 5 ml. Although the volume of a solution to be subjected to the quantitation is also not critical, it is usually about 5 μl to about 5 ml. 
     The enzymatic reaction in the solution by which NADH is liberated and produced may be carried out either previously and separately, or simultaneously with the enzymatic reaction by NADH kinase in the same system. Then, the cycling reaction is carried out and a variable amount detectable in the reaction is measured. 
     EXAMPLES 
     The present invention is further illustrated with the following examples, which should not be construed as limiting the scope of the invention. 
     Example 1 (Preparation of NADH kinase) 
     Pichia membranaefaciens YS27 (FERM BP-3208) was inoculated into 50 ml of culture medium A (pH 5.5) consisting of 2% glucose, 1% yeast extract, 1% peptone, 0.9% monopotassium hydrogenphosphate, 0.6% ammonium sulfate, 0.05% calcium chloride and 0.05% magnesium sulfate in a 500-ml Sakaguchi flask, and was subjected to shaking culture at 30° C. for 24 hours. The seed culture thus obtained was inoculated into 20 liters of culture medium A and cultured at 30° C. for 18 hours in a 30-liters jar fermentor under conditions of an aeration rate of 20 liters/min and an agitation rate of 300 r.p.m. The resulting culture was collected by centrifugation to obtain 1,406 g of cells. The whole cells were inoculated into 20 liters of culture medium B (pH 5.5) consisting of 0.5% glucose, 1% yeast extract, 1% peptone, 0.9% monopotassium hydrogenphosphate, 0.6% ammonium sulfate, 0.05% calcium chloride, 0.05% magnesium sulfate and 2% sodium succinate, and cultured at 30° C. for 6 hours in a 30-liters jar fermentor under conditions of an aeration rate of 20 liters/min and an agitation rate of 300 r.p.m. The resulting culture was collected by centrifugation to obtain 1,428 g of cells. The whole cells were dispersed in 50 mM phosphate buffer (pH 6.0) containing 0.1M saccharose and 0.5% Triton X-100, to make a total volume of 5 liters, and the resulting dispersion was ground by the use of glass beads with a DYNO-MILL [WAB (Switzerland)]. 
     Then, 5,280 ml of the liquid ground product recovered was freed of precipitate by centrifugation, and enzyme solution was dialyzed against 10 mM phosphate buffer (pH 6.0) containing 0.05M sodium chloride by using an ultrafiltration membrane (cut-off molecular weight: 6,000). 
     Subsequently, 5,260 ml of the enzyme solution thus obtained was passed through a CM-Sephadex C-50 column (Pharmacia AB) previously buffered with 10 mM phosphate buffer (pH 6.0) containing 0.05M sodium chloride, to be adsorbed thereon, and was washed with 10 mM phosphate buffer (pH 6.0) containing 0.1M sodium chloride. Thereafter, elution was carried out by means of a sodium chloride concentration gradient of 0.1 to 0.4M to collect an active fraction. 
     The buffer in 455 ml of the eluate was dialyzed against 10 mM HEPPS buffer (pH 7.5) containing 10% ammonium sulfate and 5 mM MgCl 2  by using an ultrafiltration membrane (cut-off molecular weight: 6,000). The solution thus obtained was passed through Phenyl-Toyopearl 650 column (Tosoh Ltd.) previously buffered with the same buffer as above, to be adsorbed thereon, and was washed with 10 mM HEPPS buffer (pH 7.5) containing 10% ammonium sulfate and 5 mM MgCl 2 . Thereafter, elution was carried out by means of an ammonium sulfate concentration gradient of 10 to 0% to collect an active fraction. 
     Subsequently, 372 ml of the eluate was concentrated to a volume of 25 ml by the use of an ultrafiltration apparatus (cut-off molecular weight: 10,000) mfd. by Amicon, and charged into a Sephacryl S-300  HR column (mfd. by Pharmacia AB) previously buffered with 10 mM HEPPS buffer (pH 7.5) containing 0.2M ammonium sulfate and 5 mM MgCl 2 , and gel filtration was carried out. The active fraction thus obtained was concentrated and then freeze-dried to obtain 117.3 mg (recovery: 34%) of a preparation of the present enzyme. The specific activity of this preparation was 102 U/mg. 
     Example 2 (Determination of NADH) 
     For determining a slight amount of NADH present in a system containing a large amount of NAD + , 0.4 ml of a sample solution containing 2 mM NAD +  and each concentration (0 to 10 μM) of NADH was added to 0.8 ml of a reagent solution having the composition of reagent solution I shown below, and the reaction was carried out at 35° C. for 20 minutes. After terminating the reaction, 0.8 ml of a reagent solution having the composition of reagent solution II shown below was mixed with the reaction solution, and the resulting mixture was immediately introduced into a constant-temperature cuvette of STASAR III spectrophotometer of Gilford and subjected to reaction at 30° C. Simultaneously with this reaction, the change of absorbance at 600 nm was measured with the lapse of time, whereby the difference (ΔOD 600nm  /min) between absorbance values 1 minute and 2 minutes after the initiation of the coloration reaction was obtained as a measured value. Consequently, as shown in FIG. 5, good linearity could be attained between NADH concentration and ΔOD 600nm  /min with high sensitivity. 
     
         ______________________________________                                    
Composition of reagent solution I (pH 8.5):                               
100 mM     HEPPS                                                          
7.5 mM     ATP                                                            
15 mM      magnesium chloride                                             
0.3 M      sodium acetate                                                 
10 U/ml    NADH kinase (prepared in Example 1)                            
Composition of reagent solution II (pH 8.0):                              
10 mM      G-6-P                                                          
50 mM      HEPPS                                                          
10 mM      magnesium chloride                                             
0.1%       bovine serum albumin                                           
2.5 IU/ml  G-6-P dehydrogenase (NADP.sup.+ -dependent)                    
5 IU/ml    diaphorase                                                     
300 M      2,6-dichlorophenolindophenol                                   
______________________________________                                    
 
    
     Example 3 (Determination of Sodium Cholate) 
     For determining a slight amount of sodium cholate, 80 μl of a sample solution containing each concentration (0 to 100 μM) of sodium cholate was added to 0.8 ml of a reagent solution having the composition of reagent solution I shown below, and the reaction was carried out at 35° C. for 20 minutes. After terminating the reaction, 0.8 ml of a reagent solution having the composition of reagent solution II shown below was mixed with the reaction solution, and the resulting mixture was immediately introduced into a constant-temperature cuvette of STASAR III spectrophotometer of Gilford and subjected to reaction at 30° C. Simultaneously with this reaction, the change of absorbance at 600 nm was measured with the lapse of time, whereby the difference (ΔOD 600nm  /min) between absorbance values 1 minute and 2 minutes after the initiation of the coloration reaction was determined as a measured value. Consequently, as shown in FIG. 6, good linearity could be attained between sodium cholate concentration and ΔOD 600nm  /min with high sensitivity. 
     
         ______________________________________                                    
Composition of reagent solution I (pH 8.5):                               
______________________________________                                    
67 mM        HEPPS                                                        
5 mM         ATP                                                          
10 mM        magnesium chloride                                           
0.2 M        sodium acetate                                               
2 mM         NAD.sup.+                                                    
0.3 IU/ml    3α-hydroxysteroid dehydrogenase                        
             (available from Oriental yeast Co.,                          
             Ltd.)                                                        
7 U/ml       NADH kinase (prepared in Example 1)                          
______________________________________                                    
 
    
     Composition of reagent solution II 
     The same as the composition of reagent solution II used in Example 2. 
     Example 4 (Determination of Sodium Cholate) 
     For determining a slight amount of sodium cholate, 50 μl of each of sodium cholate solutions having concentrations of 50, 100, 150, 200 and 250 μM, respectively, was added as a sample to 300 μl of a reagent solution having the composition of reagent solution I shown below. The resulting mixture was allowed to stand at 30° C. for 5 minutes, after which 300 μl of the NK solution shown below was added, and the reaction was carried out at 30° C. for 20 minutes. Then, 3.0 ml of a reagent solution having the composition of reagent solution II shown below was mixed with the reaction solution. The resulting mixture was subjected to reaction at 30° C., and the average change of absorbance at 550 nm per minute from 1 minutes after to 6 minutes after the initiation of the reaction was measured. Consequently, good linearity starting from the zero point could be attained with high sensitivity between sodium cholate concentration and average change of absorbance, up to a sodium cholate concentration of 200 μm, as shown in FIG. 7 in the case of using β-NAD + , and as shown in FIG. 8 in the case of using thio-NAD + . 
     
         ______________________________________                                    
Composition of reagent solution I (pH 8.5):                               
65 mM       dipotassium phosphate                                         
8 mM        ATP                                                           
20 mM       Magnesium chloride                                            
0.5 M       sodium acetate                                                
5 mM        NAD.sup.+ (β-form or thio-form)                          
0.03%       bovine serum albumin                                          
10 IU/ml    3α-hydroxysteroid dehydrogenase                         
Composition of NK solution:                                               
7.7 U/ml    NADH kinase (prepared in Example 1)                           
0.2 M       ammonium sulfate                                              
Composition of reagent solution II (pH 8.0):                              
20 mM       G-6-P                                                         
50 mM       dipotassium phosphate                                         
0.03%       bovine serum albumin                                          
1.2 mM      Nitrotetrazolium Blue                                         
0.1 M       EDTA-2Na                                                      
0.5%        Triton X-100                                                  
3 IU/ml     G-6-P dehydrogenase derived from                              
            yeast                                                         
            (6 IU/ml in the case of thio-form)                            
3 IU/ml     diaphorase derived from a bacillus                            
            (6 IU/ml of diaphorase derived from                           
            a clostridium, in the case of thio-                           
            form)                                                         
______________________________________                                    
 
    
     Example 5 (Determination of Bile Acid in Serum) 
     For measuring the concentration of bile acid in serum, 200 μl of each of 24 human sera as samples or 200 μl of a 50 μM sodium cholate solution as standard solution was added to 300 μl of a reagent solution having the composition of reagent solution I shown below. The resulting mixture was allowed to stand at 30° C. for 5 minutes, after which 300 μl of the NK solution shown below was added, and the reaction was carried out at 30° C. for 20 minutes. Then, 3.0 ml of a reagent solution having the composition of reagent solution II was mixed with the reaction solution. The mixture thus obtained was subjected to reaction at 30° C., and the change of absorbance at 550 nm per minute from 2 minutes after to 3 minutes after the initiation of the reaction was measured. Measurement was carried out for the samples as above by a conventional method, the 3α-HSD-formazan method. Consequently, the comparison between the present method and 3α-HSD-formazan method was as shown in Table 4, and the correlation coefficient of 0.995 indicates good correlation between the two methods. The bile acid concentrations calculated on the basis of the change of absorbance in the standard solution were as shown in FIG. 9. From these results, it was found that the present method is in good correlation with the conventional method, i.e., the 3α-HSD-formazan method, and makes it possible to measure bile acid accurately with sensitivity higher than that of the 3α-HSD-formazan method. 
     
         ______________________________________                                    
Composition of reagent solution I (pH 8.5):                               
65 mM       dipotassium phosphate                                         
12 mM       ATP                                                           
20 mM       magnesium chloride                                            
0.75 M      sodium acetate                                                
7.5 mM      β-NAD.sup.+                                              
0.03%       bovine serum albumin                                          
60 mM       potassium oxamate                                             
15 IU/ml    3α-hydroxysteroid dehydrogenase                         
Composition of NK solution:                                               
13.5 U/ml   NADH kinase (prepared in Example 1)                           
0.2 M       ammonium sulfate                                              
Composition of reagent solution II (pH 8.0):                              
20 mM       G-6-P                                                         
50 m        dipotassium phosphate                                         
0.03%       bovine serum albumin                                          
1.2 mM      Nitrotetrazolium Blue                                         
0.1 m       EDTA-2Na                                                      
0.5%        Triton X-100                                                  
3 IU/ml     G-6-P dehydrogenase derived from                              
            yeast                                                         
3 IU/ml     diaphorase derived from a bacillus                            
40 mM       potassium oxamate                                             
______________________________________                                    
 
    
     
                       TABLE 4                                                     
______________________________________                                    
                        Present                                           
               3α-HSD-                                              
                        method                                            
               formazan (NK                                               
Sample         method   method)                                           
______________________________________                                    
Standard       471      1221                                              
solution                                                                  
Human          54        81                                               
serum 1                                                                   
Human          73       181                                               
serum 2                                                                   
Human          69       178                                               
serum 3                                                                   
Human          36       117                                               
serum 4                                                                   
Human          100      239                                               
serum 5                                                                   
Human          63       159                                               
serum 6                                                                   
Human          90       249                                               
serum 7                                                                   
Human          70       190                                               
serum 8                                                                   
Human          73       149                                               
serum 9                                                                   
Human          44       115                                               
serum 10                                                                  
Human          104      256                                               
serum 11                                                                  
Human          80       220                                               
serum 12                                                                  
Human          59       139                                               
serum 13                                                                  
Human          120      337                                               
serum 14                                                                  
Human          89       313                                               
serum 15                                                                  
Human          118      239                                               
serum 16                                                                  
Human          133      256                                               
serum 17                                                                  
Human          120      264                                               
serum 18                                                                  
Human          41        85                                               
serum 19                                                                  
Human          79       190                                               
serum 20                                                                  
Human          384      1033                                              
serum 21                                                                  
Human          236      664                                               
serum 22                                                                  
Human          565      1490                                              
serum 23                                                                  
Human          188      518                                               
serum 24                                                                  
______________________________________                                    
 Formazan method: Absorbance × 10.sup.4 at 550 nm                   
 present method: Absorbance × 10.sup.4 at 550 nm                    
 
    
     Example 6 (Determination of 3-Hydroxybutyrate Dehydrogenase) 
     For determining a slight amount of 3-hydroxybutyrate dehydrogenase, 400 μl of a sample solution containing each concentration (0 to 60 IU/liter) of 3-hydroxybutyrate dehydrogenase was added to 0.8 ml of a reagent solution having the composition of reagent solution I shown below, and the reaction was carried out at 35° C. for 10 minutes. After terminating the reaction, 0.8 ml of a reagent solution having the composition of reagent solution II shown below was mixed with the reaction solution, and the resulting mixture was immediately introduced into a constant-temperature cuvette of a spectrophotometer and subjected to reaction at 30° C. Simultaneously with this reaction, the change of absorbance at 600 nm was measured with the lapse of time, whereby the difference (ΔOD 600nm  /min) between absorbance values 1 minute and 2 minutes after the initiation of the coloration reaction was obtained as a measured value. Consequently, as shown in FIG. 10, good linearity could be attained between the level of 3-hydroxybutyrate activity and ΔOD 600nm  /min with high sensitivity. 
     
         ______________________________________                                    
Composition of reagent solution I (pH 8.5):                               
______________________________________                                    
100 mM      HEPPS                                                         
7.5 Mm      ATP                                                           
15 Mm       magnesium chloride                                            
0.3 M       sodium acetate                                                
3 mM        β-NAD.sup.+                                              
90 mM       3-hydroxybutyric acid                                         
10 U/ml     NADH kinase (prepared in Example 1)                           
______________________________________                                    
 
    
     Composition of Reagent Solution II 
     The same as the composition of reagent solution II used in Example 2. 
     Example 7 (Determination of Glycerin) 
     For determining a slight amount of glycerin, 50 μl of each of glycerin solutions having concentrations of 10, 20, 30, 40 and 50 μM, respectively, was added as a sample to 300 μl of a reagent solution having the composition of reagent solution I shown below. The resulting mixture was allowed to stand at 30° C. for 5 minutes, after which 300 μl of the NK solution shown below was added, and the reaction was carried out at 30° C. for 20 minutes. Then, 3.0 ml of a reagent solution having the composition of reagent solution II shown below was mixed with the reaction solution. The mixture thus obtained was subjected to reaction at 30° C., and the change of absorbance at 550 nm per minute from 1 minute after to 6 minutes after the initiation of the reaction. Consequently, as shown in FIG. 11, good linearity starting from the zero point was attained between glycerin concentration and the average change of absorbance with high sensitivity. 
     
         ______________________________________                                    
Composition of reagent solution I (pH 9.0):                               
65 mM       tris(hydroxymethyl)aminomethane                               
8 mM        ATP                                                           
20 mM       magnesium chloride                                            
0.5 M       sodium acetate                                                
5 mM        β-NAD.sup.+                                              
0.03%       bovine serum albumin                                          
7 IU/ml     glycerol dehydrogenase                                        
Composition of NK solution:                                               
7.7 U/ml    NADH kinase (prepared in Example 1)                           
0.2 M       ammonium sulfate                                              
Composition of reagent solution II (pH 8.0):                              
50 mM       dipotassium phosphate                                         
.03%        bovine serum albumin                                          
1.2 mM      Nitrotetrazolium Blue                                         
0.1 M       EDTA-2Na                                                      
0.5%        Triton X-100                                                  
3 IU/ml     G-6-P dehydrogenase derived from                              
            yeast                                                         
3 IU/ml     diaphorase derived from a bacillus                            
______________________________________                                    
 
    
     Example 8 (Determination of Alcohol Dehydrogenase) 
     For determining a slight amount of alcohol dehydrogenase, 50 μl of each of alcohol dehydrogenase solutions having enzyme concentrations of 1, 2, 3, 4 and 5 IU/liter), respectively, was added as a sample to 300 μl of a reagent solution having the composition of reagent solution I shown below. The resulting mixture was allowed to stand at 30° C. for 10 minutes, after which 300 μl of the NK solution shown below was added, and the reaction was carried out at 30° C. for 20 minutes. Then, 3.0 ml of a reagent solution having the composition of reagent solution II shown below was mixed with the reaction solution. The mixture was obtained was subjected to reaction at 30° C., and the average change of absorbance at 550 nm per minute from 1 minute after to 6 minutes after the initiation of the reaction was measured. Consequently, as shown in FIG. 12, good linearity starting from the zero point could be attained between the level of alcohol dehydrogenase activity and the average change of absorbance with high sensitivity. 
     
         ______________________________________                                    
Composition of reagent I (pH 9.0):                                        
65 mM       glycylglycine                                                 
8 mM        ATP                                                           
20 mM       magnesium chloride                                            
0.5 M       sodium acetate                                                
0.4 mM      thio-NAD.sup.+                                                
0.03%       bovine serum albumin                                          
50 mM       n-amyl alcohol                                                
Composition of NK solution:                                               
7.7 U/ml    NADH kinase (prepared in Example 1)                           
0.2 M       ammonium sulfate                                              
Composition of reagent solution II (pH 8.0):                              
20 mM       G-6-P                                                         
50 mM       dipotassium phosphate                                         
0.03%       bovine serum albumin                                          
1.2 mM      Nitrotetrazolium Blue                                         
0.1 M       EDTA-2Na                                                      
0.5%        Triton X-100                                                  
6 IU/ml     G-6-P dehydrogenase derived from                              
            yeast                                                         
6 IU/ml     diaphorase derived from a                                     
            clostridium                                                   
______________________________________                                    
 
    
     Example 9 (Determination of ATP) 
     For determining a slight amount of ATP, 400 μl of a sample solution containing each concentration (0 to 50 μM) of ATP was added to 0.8 ml of a reagent solution having the composition of reagent solution I shown below, and the reaction was carried out at 35° C. for 20 minutes. After terminating the reaction, 0.8 ml of a reagent solution having the composition of reagent solution II shown below was mixed with the reaction solution, and the resulting mixture was immediately introduced into a constant-temperature cuvette of a spectrophotometer and subjected to reaction at 30° C. Simultaneously with this reaction, the change of absorbance at 600 nm was measured with the lapse of time, whereby the difference (ΔOD 600nm  /min) between absorbance values 1 minute and 2 minutes after the initiation of the coloration reaction was determined as a measured value. Consequently, as shown in FIG. 13, good linearity could be attained between ATP concentration and ΔOD 600nm  /min with high sensitivity. 
     
         ______________________________________                                    
Composition of reagent solution I (pH 8.5):                               
______________________________________                                    
100 mM      HEPPS                                                         
3 mM        NADH                                                          
15 mM       magnesium chloride                                            
0.3 M       sodium acetate                                                
10 U/ml     NADH kinase (prepared in Example 1)                           
______________________________________                                    
 
    
     Composition of Reagent Solution II 
     The same as the composition of reagent solution II used in Example 2. 
     The determination method of the present invention is a novel method which permits highly sensitive determination of a slight amount of NADH in a system containing NAD +  and NADH as a mixture, without any influence of NAD + . Furthermore, the method permits satisfactory measurement of one of the following components: enzyme activities participating in various enzymatic reaction systems using NAD +  or ADP as a substrate, NAD + , ADP, and substrates which react together therewith. Accordingly, the method makes it possible to determine the amount of a substance capable of serving as a marker of pathosis, accurately with high sensitivity in a short time in diagnoses of diseases and the like, and it is applicable to automatic analysis, so that an exact diagnosis can be made. Therefore, the method is industrially very useful in the fields of clinical medicine, etc.