Page 193 - Academic Press Encyclopedia of Physical Science and Technology 3rd BioTechnology
P. 193

P1: FMX Final Pages
 Encyclopedia of Physical Science and Technology  EN009J-69  July 19, 2001  22:50







              Microanalytical Assays                                                                      693

              TABLE III Approximate Blood Levels of Plasma Con-   in nature or readily genetically modified to have K M
              stituents                                           that  vary  over  5  orders  of  magnitude.  Table  II  lists
                Compound   ×10 −3  M   Compound     ×10 −6  M     K M values for some enzymes that have been used in
                                                                  biosensors.
              Sodium         140   Albumin            600       Response time: The response behavior of sensor-based an-
              Chloride       105   Urate              250         alytical devices is affected by a number of parameters.
              Bicarbonate     30   Phenylalanine      125         With respect to the sensor component, response char-
              Glucose         5    Immunoglobulin G    90         acteristics are usually determined by a combination of
              Urea            4    Ammonia             30         diffusional and reaction kinetic processes. The usual
              Cholesterol     4    Iron                20         configuration for a biosensor includes a membrane that
              Calcium         2.5  Bilirubin (Total)   10         protects the sensor element. Thus in the Clark glu-
              Triglycerides   1    Immunoglobulin M     1         cose sensor shown in Figure 7, the diffusion processes
               (fasting)
                                                                  include the passage of glucose and oxygen from the
                Compound   ×10 −9  M   Compound     ×10 −12  M    external fluid through the dialysis membrane into the
                                                                  enzyme compartment and the subsequent passage of
              Oestriol (late  600  Aldosterone        180         oxygen through the silicon rubber membrane into the
               pregnancy)
                                                                  electrode compartment.
              Thyroxine binding  500  Insulin         120
               globulin
                                                                  Theapproximatelagtimeintroducedbydiffusionlayers
              Cortisol       400   Parathyroid hormone  100
                                                                (either membranes or liquid layers) can be expressed as
              Placental lactogen  300  Growth hormone  50
                                                                                              2
              Thyroxine (total)  125  Luteinising hormone  10               Lag time (sec) = 0.2L /D,
              Corticosterone  20   Triiodothyronine (free)  10                                           2
                                                                where D is the diffusivity of solute in the layer (cm /sec)
              Triiodothyronine  2  Adrenocorticotrophin  10
                                                                and L is the thickness of layer (cm).
              Prolactin        1   Thyroid stimulating  5
                                                                  If the biological element is an enzyme, then the kinetics
                                     hormone
                                                                of the reaction of analyte will be governed by an equation
              Oestradiol-17    1   Angiotensin II       4
               (women)                                          similar to that given above, and the overall rate of reaction
              Progesterone     1   Oxytocin             1       will be determined by the enzyme concentration in the
                                   Arginine vasopressin  1      preparation (E) and the inherent substrate turnover of the
                                                                enzyme characterized by V m .
                                                                  If the biological element is an antibody or a biorecep-
                biological materials such as enzymes or antibodies, this  tor, the kinetics will be related to the magnitude of the
                meansthatonehastoselecttheappropriateproteinwith  affinity constant K a . The affinity constant is essentially
                the correct binding characteristics or reactive charac-  the equilibrium constant for the reversible association and
                teristics for the molecule that is to be measured. Fortu-  dissociation of the ligand for the antibody. Kinetic studies
                nately, with the advent of modern molecular biology,  of these reactions has shown that increase in binding con-
                one can either select or modify the protein to fulfill the  stants is directly correlated with a reduction in the inher-
                analytical requirements. An equation that depicts the  ent dissociation rates of these reactions. The implication
                interaction of an antibody with a ligand is     of this behavior is that the response rate of sensors based
                                                                on antibodies becomes slower with higher affinities.
                                     k f
                    Antibody + Ligand → Antibody − Ligand.        An approximate value for the association rate con-
                                    ←
                                     k r                                                           8  −1   −1
                                                                stant (k f ) for ligands with antibodies is 10 M  sec .
                The affinity constant for these antibiodies is the con-
                                                                Thus an approximation for the lag time for dissociation of
                centration at which the protein is half saturated with
                                                                antibiody–ligand complexes is
                the ligand.
                                                                                            −8
                                 K a = k f /k r .                           Lag time (sec) = 10 /K a ,
                Enzymes have a kinetic characteristics that show satu-  where K a is the ligand–antibody association equilibrium
                                                                         −1
                ration behavior:                                constant (M ).
                            v = V m SE/(K M + S).
                The parameter for enzymes that characterizes the sen-  SEE ALSO THE FOLLOWING ARTICLES
                sitivity level for sensors based on the uses of en-
                zymes is the kinetic parameter known as the Michaelis–  BIOENERGETICS • BIOMATERIALS,SYNTHESIS,FABRICA-
                Menton constant (K M ). Again enzymes can be found  TION, AND APPLICATIONS • BIOPOLYMERS • ELECTRO-
   188   189   190   191   192   193   194   195   196   197   198