Label free sensing of creatinine using a 6 GHz CMOS near-fi eld dielectric immunosensor

In this work we present a CMOS high frequency direct immunosensor operating at 6 GHz (C-band) for label free determination of creatinine. The sensor is fabricated in standard 0.13 μm SiGe:C BiCMOS process. The report also demonstrates the ability to immobilize creatinine molecules on a Si3N4 passivation layer of the standard BiCMOS/CMOS process, therefore, evading any further need of cumbersome post processing of the fabricated sensor chip. The sensor is based on capacitive detection of the amount of non-creatinine bound antibodies binding to an immobilized creatinine layer on the passivated sensor. The chip bound antibody amount in turn corresponds indirectly to the creatinine concentration used in the incubation phase. The determination of creatinine in the concentration range of 0.88–880 μM is successfully demonstrated in this work. A sensitivity of 35 MHz/10 fold increase in creatinine concentration (during incubation) at the centre frequency of 6 GHz is gained by the immunosensor. The results are compared with a standard optical measurement technique and the dynamic range and sensitivity is of the order of the established optical indication technique. The C-band immunosensor chip comprising an area of 0.3 mm reduces the sensing area considerably, therefore, requiring a sample volume as low as 2 μl. The small analyte sample volume and label free approach also reduce the experimental costs in addition to the low fabrication costs offered by the batch fabrication technique of CMOS/BiCMOS process.


Introduction
Over the last few decades, Enzyme Linked Immunosorbent Assays (ELISAs) have been developed as standard methods in clinical diagnostics.2][3][4] However, since the readout gives only qualitative to semi-quantitative results, the application is limited to diagnose diseases which are accompanied with high changes in analyte concentration.In contrast, antibody-based biosensors (immunosensors) are able to measure the analyte quantitatively. 5,6However, state of the art immunosensors require several incubation or manual pipetting steps. 7For easy handling, which is mandatory for POCT, the immunosensor devices should work autonomously.Three different approaches are currently under investigation for such automation.][10] A second approach also uses labelling compounds (e.g., enzymes, fluorophores, redox mediators) but in a one-step assay format (mix and measure approach). 11evertheless, such labelling techniques often change the properties of antigens and antibodies.Therefore, for each antigen-antibody pair, a new coupling procedure has to be adapted.The third approach involves transduction methods, e.g., surface plasmon resonance spectroscopy which allows the direct indication of antigen antibody binding without any labelling compounds. 12However, this technique involves complicated front end circuit integration and complex measurement test-benches.On the other hand, most of the commercially available direct immunosensor devices are highly sophisticated (e.g., BIAcore) and expensive, requiring well trained personnel to operate; therefore, making them unsuitable for POCT.4][15] In addition, compatibility of such electrochemical sensors to standard CMOS process technology would further make batch fabrication possible, thereby leading to a simpler and cost effective alternative solution to ELISA based approaches.High frequency sensors can be an effective solution to establish such CMOS compatible electrochemical immunosensors.
With the advent of microwave technologies, a fast growing research area of applying high frequency techniques to biological and diagnostic applications has emerged.][18][19] Although microwave interactions with bio-molecules, cells, tissues, etc., have been studied for decades, [20][21][22] such high frequency biosensors only came into existence in the early 2000s.Recently detection of various types of cells has been demonstrated using sensors operating in the microwave frequency range.Grenier et al. have shown the possible detection of living and dead cells in biological cell suspensions using a passive capacitive sensor at a frequency range of 1 GHz to 40 GHz. 23Ferrier et al. have also demonstrated the characterization of yeast cells in the frequency range of 1 GHz to 2 GHz, also based on a purely passive interferometric structure. 24The use of a coplanar waveguide arrangement to characterize cells has been shown. 17,25CMOS active sensors for labelled sensing techniques using magnetic beads as markers have been further demonstrated by Wang et al. 26 However, exploring the area of direct immunosensors based on a high frequency technique is still on the horizon and is a potential "all-electrical" alternative to the existing immunosensors.
In this report, we describe a novel CMOS direct immunosensor, operating in the C-band of the RF spectrum and utilise it to identify creatinine concentrations.Creatinine is one of the most often determined parameters in clinical diagnostics, since it is an index for renal glomerular filtration rate and function.The concentration range in serum and plasma is about 5-17 µg mL −1 (44-150 µM).In children or in patients with severe hepatic diseases, advanced liver disease, decreased muscle mass, and general debilitation, creatinine is present at much lower concentrations (3-5 µg mL −1 ; 27-44 µM). 27Chemical 28 and enzymatic 29,30 determination methods which are used at present are not very specific or sensitive.Therefore, antibody based creatinine assays and electrochemical immunosensors have been developed by using redox or enzyme labels. 31,32In contrast, the proposed approach based on microwave techniques on a CMOS platform circumvents the problem of labelling by utilising dielectric properties of creatinine and anti-creatinine antibody molecules 31 in combination with the aqueous medium used in the experiments.
The sensing principle is based on the variation of capacitance (here an interdigitated capacitor) embedded in a CMOS oscillator, causing a shift in the resonant frequency of the oscillator.The change of capacitance is caused by the variation of fringing electric fields of the interdigitated capacitor (IDC), due to the change of permittivity on top of it.For the proposed dielectric immunosensor the permittivity variation is brought about by the different amounts of anti-creatinine antibodies binding to the creatinine molecules immobilized on the IDC.This work presents for the first time a method to immobilize creatinine molecules on the surface of silicon nitride (Si 3 N 4 ) layers.Si 3 N 4 is the standard passivation layer for CMOS technologies; therefore, the capability of immobilizing creatinine molecules on its surface helps to evade any additional post processing steps for future label free sensors used in creatinine detection.Thus, a complete CMOS compatible immunosensor is realized with negligible incubation delay and with complete on chip read-out ability.

Design and operation of sensor
A multi-fingered planar IDC is used as the prototype capacitive sensor in this work.The sensor IDC along with the complete CMOS oscillator circuit (explained in the subsequent section) is fabricated in the standard 0.13 µm SiGe:C BiCMOS process of IHP technology. 33Fig. 1a shows the BiCMOS back end of line (BEOL) stack with seven metal layers (five thin metal layers and two top thick metal layers).The IDC is fabricated on the penultimate metal layer of thickness 2 µm (referred as TM1) of the BiCMOS stack.
The IDC geometry and the corresponding 2D semi-infinite model showing the immobilized creatinine molecules are depicted in Fig. 1b.A five fingered IDC with electrode length (L) of 100 µm and equal electrode width (w) and inter-electrode spacing (s) of 20 µm was fabricated.The capacitance of the IDC can be attributed to three major contributing factors: C ox due to the SiO 2 between the electrodes (fingers); C sub due to the fringing electric fields penetrating into the BEOL stack below the TM1 metal layer; C mut due to the fringing electric fields penetrating into the material under test placed on top of the sensor.Often the oxide capacitance is neglected 34,35 due to negligible metal layer thickness.However, in this design, the 2 µm thickness of the IDC electrodes is comparable to the dimension of the electrode spacing and width, thus, C ox is no longer negligible.The total per unit capacitance is given as: For a given sensor geometry, fabricated in a standard technology, the C ox and C sub contributions in eqn (1) are constant.However, for sensor applications, C mut is varied with materials of different permittivity.In this report the varying concentrations of anti-creatinine antibodies binding to the immobilized creatinine layer on the passivated IDC surface cause the permittivity variation.Steps towards the capacitive sensing are depicted in Fig. 2. The creatinine molecules were immobilized on the sensor area of the immunosensor chip initially.The anti-creatinine antibodies were incubated with varied concentrations of creatinine.The resultant solutions were pipetted on top of the sensing area.Following this phase, the chips were Fig. 2 Sensor operation of the dielectric immunosensor.Creatinine molecules are immobilized on the passivated surface of the sensor.Anti-creatinine antibodies are incubated in four different concentrations of creatinine molecules ( pre-treatment phase).The four different antibody solutions are allowed to bind to the immobilized creatinine molecules.Antibody samples incubated with a higher concentration of creatinine have less free antibodies left to bind to immobilized creatinine molecules.

Analyst Paper
washed with water and dried.After adding the anti-mouseantibody peroxide conjugate, a binding of this conjugate to the anti-creatinine antibody was observed showing that the anticreatinine antibody was still bound by chip immobilized creatinine and not released by any denaturation process due to the drying phase.
The additional water molecules are shown in the schematic in Fig. 2, which depicts the droplet of water that was added during the electrical measurement of the sensor chip.The variation of the amount of non-creatinine bound antibodies (from the incubation step) binding to the immobilized creatinine layer in turn varies the amount of water molecules surrounding the immobilized layer which causes the change of the C mut contribution of the IDC.
The use of water in the experiment prompts an intrinsic sensitivity amplification, due to considerable permittivity contrast between antibodies and water.Anti-creatinine antibodies are incubated with different concentrations of creatinine samples.Four such samples were prepared with creatinine concentrations varying from 0.88 µM to 880 µM.Antibodies incubated at a lower concentration of creatinine, bound to more of the immobilized creatinine molecules on the sensor surface, in comparison to the ones incubated at higher concentrations of creatinine.Higher antibodies binding to immobilized creatinine molecules indicates more number of water molecules being replaced by them from the immobilized creatinine ambient.From sensing perspective, this indicates a capacitive change of the IDC which can be translated to the creatinine concentration used for the incubation step.

Immobilization of creatinine
In order to establish the immobilization surface chemistry for creatinine without any additional post fabrication steps, test chips (Si/Si 3 N 4 ) of size 1 cm 2 with Si 3 N 4 passivation layer were diced and used to compare different immobilization procedures based on creatinine butyric acid and a creatininebovine serum albumin conjugate (crea-BSA).Both compounds were synthesized as described by Benkert et al. 31 Best results regarding antibody binding were obtained by using adsorption of crea-BSA to the Si 3 N 4 surface.Therefore, crea-BSA (10 mg ml −1 in standard phosphate buffered saline, PBS) was diluted in the ratio 1 : 10 with aqua bidest. 2 µl of this solution was pipetted onto the centre of the Si 3 N 4 surface of the test chips and incubated in a humid chamber for 1 h.Control chips were modified with 2 µl of a BSA solution in the same way.After six washing steps with PBS and three washing steps with aqua bidest, the chip surfaces were blocked with 2.9 ml 3% BSA in PBS (BSA/PBS) for 1 h.For the detection of immobilized creatinine, 0.1 ml of 3 µg ml −1 anti-creatinine antibody in BSA-PBS solution was added and incubated for 1 h.After three washing steps with PBS the chips were incubated for 1 h with 2, 5 ml peroxidase-conjugated goat anti-mouse IgG (H + L) which was obtained from Dianova (Germany) and diluted in the ratio 1 : 5000 in BSA/PBS.After six washing steps with PBS the chips were incubated with 2.5 ml of a peroxidase standard substrate solution (3,3′,5,5′-tetramethylbenzidine, H 2 O 2 dissolved in 0.1 M acetate buffer pH 5) for 1 h and the developed blue colour was compared visually.Since only in the case of chips with crea-BSA an antibody binding was observed, it can be concluded that the binding of crea-BSA to the chip is very strong.Moreover, a high concentration of BSA during the incubation with the antibody ensures that no displacement of the crea-BSA by BSA actually takes place.

Sensor circuit design
The multi-fingered sensor IDC is coupled with a pair of inductors to form an LC resonant tank.The oscillation of the resonant tank is driven by a pair of cross-coupled nMOS transistors as shown in Fig. 3.This topology resembles a cross coupled CMOS oscillator, 36 where the sensor IDC is analogous to the variable capacitor used in such configurations.The cross-coupled transistors add parasitic capacitance in parallel to the sensor IDC.The parasitic capacitance is attributed to the transistors' dimensions. 36Wider transistors bring in higher parasitic capacitance.However, the transistors need to be sufficiently wide for optimum gain to sustain the oscillations. 36An additional buffer stage is shown, following the core oscillator which is used to isolate the oscillator from the subsequent circuit stages, in order to have an independent sensor operation.In this case, an additional circuitry can be further incorporated to down convert the high frequency output to a DC value for further easier operation and handling capability.The additional transistors in the buffer further add to the parasitic capacitance, thus degrading the overall sensitivity.For a given stable circuit (no variation of circuit operating points), the parasitic capacitive contributions are constant.Therefore, the exclusive variation of the capacitance in the circuit is due to the change in IDC capacitance caused by the varying concentration of anti-creatinine antibodies binding to the creatinine molecules immobilized on the IDC.The resonant frequency of the oscillator in the first order approximation is given as: where, C total is the summation of the capacitance due to the IDC and the parasitic capacitance; and L is the inductance of the individual inductors used in the resonant circuit, in this case 1 nH, with a quality factor of 14 at 6 GHz.The capacitance of the IDC in this report is 100 fF.The additional parasitic capacitance due to the cross coupled transistors and the buffer transistors were simulated to be 55 fF.The inductors were fabricated on topmost metal layer of BEOL stack for high quality factor of the resonator.The sensitivity of such a sensor is defined by the differential change of the resonant frequency with respect to the differential change of the permittivity due to the variation in the amount of antibodies binding to the immobilized creatinine molecules.
The "all electrical" measurement requires a standard power supply, supplying up to 3.3 V. Further miniaturization is possible by operating the device with a battery.As mentioned above, the output of the sensor system is an electrical signal around the frequency range of 6 GHz.An X band spectrum analyser from Rohde and Schwarz is used to measure the frequency spectrum.

Simulation of capacitance variation
Variation of the capacitance was simulated using FEM tool, COMSOL 4.2a.The immobilized creatinine molecules were modelled as a continuous layer of thickness 10 nm and permittivity of 3-4. 37,38The antibodies were modelled as cylindrical pillars of height 30 nm, effective diameter 10 nm and a relative permittivity of 2. The antibodies are considerably larger than the creatinine molecules.
The simulation indicates, for an aqueous solution environment (i.e., when the electrical experiments are performed with an additional drop of water on the sensing area as mentioned above), the capacitance of the IDC increases with the increase in concentration of creatinine molecules used for the incubation of the antibodies (see Fig. 4).The result appears counter-intuitive initially, and can be explained as a combined effect of the aqueous solution and the antibodies.A higher concentration of creatinine molecules used for incubation results in a lower number of free antibodies that can bind to the immobilized creatinine layer.With fewer antibodies binding to the immobilized creatinine, a large fraction of creatinine molecules are surrounded by the aqueous solution molecules.In the case of water the permittivity (ε = 70 at 6 GHz) 21 is considerably higher as compared to the antibodies, thus resulting in a higher capacitance of the IDC.The capacitance variation is strongly dependent on the permittivity contrast between the surrounding medium and the antibodies.Therefore, with air as the surrounding medium (ε = 1), the capacitance is almost constant as the permittivity contrast is very low.Therefore, the use of aqueous solution acts as an intrinsic sensitivity amplifier, magnifying the sensitivity many fold.From the CMOS oscillator sensor circuit outlook, this change of capacitance translates to a decreasing resonant frequency with increasing concentration of creatinine molecules used for incubation of the antibodies.

Optical measurement of creatinine concentration
Optical measurements were performed with Si 3 N 4 test chips to find the best immobilization and test conditions which should be finally applied for the IDC sensor chips.In addition, since the ELISA-like assay procedures and the optical measurements are very reliable, [39][40][41] these measurements were also used as an independent standard method to compare the results with the electric measurements.
At first, different methods to immobilize creatinine to the Si 3 N 4 surface were compared regarding antibody binding.Therefore creatinine butyric acid and crea-BSA were covalently or non-covalently immobilized onto different modified test chips.2 µl of the immobilization solution was pipetted to the Si 3 N 4 surface (see Fig. 5) which was the same amount needed to cover the IDC sensor area, marked red in Fig. 8.The immobilized creatinine was then detected with the monoclonal anti-creatinine antibody B90-AH5 and a peroxidase-conjugated anti-mouse IgG.The peroxidase activity was detected via a standard colour reaction using 3,3′,5,5′-tetramethylbenzidine and hydrogen peroxide.Most of the chips generated no colour.Only chips with adsorptive immobilized crea-BSA generated the typical blue colour whereas chips with immobilized BSA generated no colour.This result shows that the monoclonal anti-creatinine antibody was specifically bound to the immobilized crea-BSA.For creatinine determination an indirect competitive immunoassay principle as shown in Fig. 6 was applied.Therefore, the crea-BSA modified Si 3 N 4 test chips were incubated with different creatinine concentrations (0-8.8 mM) with a defined and optimized antibody concentration (0.1 µg ml −1 ).Creatinine competes with the chip-immobilized creatinine for the creatinine binding sites of the antibody.At increased creatinine concentration fewer antibodies can bind to chip-immobilized creatinine.
The resultant concentration dependency for creatinine is shown in Fig. 7, with the dynamic range of measurements ranging from 0.88-88 µM.This covers perfectly the clinically relevant range when taking into account that the antibody and buffer have to be added to the serum or plasma sample.
As mentioned above, the optical measurements were conducted to compare the standard technique with our proposed "all-electrical" approach.The dynamic range of the established optical technique covers the concentration range of creatinine which is of clinical relevance, but is saturated beyond 88 µM of creatinine concentration.On comparing the dynamic range of both measurement techniques, the electrical approach shows an order of magnitude increase in dynamic range, as is demonstrated in the subsequent section.

Dielectric measurement of creatinine concentration
Characterisation of the sensor.The chip photograph depicting the IDC sensor along with the oscillator circuit is shown in Fig. 8. Electrical characterization of the chips was performed before calibration and creatinine measurements.The chip draws a current of 27 mA from a 3.3 V DC supply.The resonant frequency of the oscillator was 6.01 GHz in air (with no material on top of the sensor).The chip has an area of 0.3 mm 2 .The performance of the sensor oscillator showing resonant frequency shift for varying IDC capacitance was characterized with glucose solution measurements.
Different concentrations of glucose solution were pipetted onto the sensing area and the resulting frequency was measured and compared with simulations, as shown in Fig. 9.It is observed that the resonant frequency up-shifts for increasing concentrations of glucose in a solution.The behaviour can be attributed to the decrease in resultant permittivity of the solution with increasing glucose concentration; glucose has a lower permittivity as compared to water.With lower glucose concentrations the resultant solution has permittivity close to the permittivity of water, thereby yielding the resonant    This measured behaviour of the sensor is in close agreement with the theoretical and simulated behaviour of the sensor.Therefore the mechanism of the sensor was well established with the calibration technique and further extension to a direct immunosensor was undertaken.
Creatinine concentration measurement.In order to characterize the reproducibility of the sensor chip from the process technology aspect, it is necessary to characterize (study the frequency response) of several chips from the same wafer.Multiple chips on the same wafer were characterized to estimate the on wafer process variation.The resonant frequency of the oscillator varied by no more than 3 MHz.This depicts the high yield and reproducibility of the sensor chip.Eight such chips with the same resonant frequency of 6.01 GHz were treated later for immobilization of creatinine molecules on the sensor layers. 2 µl of the pre-treated anti-creatinine antibody samples were pipetted onto the Si 3 N 4 based surface of the IDC sensor area (marked in red in Fig. 8).As mentioned in the previous section, a drop of water (1 µl) was added onto the sensor area during electrical measurement in order to have a strong permittivity contrast and a better sensor response.Fig. 10 shows the resonant frequency shift of two chips treated with two different incubated antibody samples.The output power level of −20 dBm is much higher than the noise level but is also optimum, in order to not damage the creatinine molecules and also the antibodies binding to it.
The measurement results of the chips with four different samples of antibody are shown in Fig. 11.The higher the concentration of creatinine in the pre-incubation the lower the concentration of antibody binding to the immobilized creatinine molecules on the IDC.The black curve shows the measurements done with an additional droplet of water of approximate volume of 1 µl carefully pipetted onto the sensing area.This was explained in the previous section.It is seen that   with a lower concentration of creatinine used in pre-treatment (higher amount of antibodies binding to the immobilized creatinine), the higher the resonant frequency.This is accredited to the fact that a higher concentration of antibodies binding to the creatinine molecules, replaces more water molecules previously surrounding the creatinine molecules.The antibodies having a much lower permittivity compared to water, reduces the effective permittivity as sensed by the IDC.Therefore, there is a frequency downshift for decreasing antibody concentration or increasing creatinine concentration in the incubation phase.As seen from the measurements, for each step variation of the concentration of the creatinine, the resonant frequency varies by approximately 35 MHz.At the highest creatinine concentration during the incubation phase, the least amount of antibodies binds to the immobilized creatinine molecules on the IDC.Therefore, the resulting resonant frequency tends towards the frequency of the oscillator with pure water on top of it (5.73GHz).The red curve shows the same experiments done on the same chips with air as the surrounding medium.
As seen from the results there is negligible variation of the resonant frequency of the oscillator although there is a tendency of frequency downshift.The measurement results agree closely with our proposed model and simulation.The capacitance variation of the IDC is strongly dependent on the permittivity contrast between the antibodies and the surrounding medium and hence is suited for immunosensor applications as most often a buffer solution is used for such measurements.
It can also be noted from the above measurements that in aqueous solution, the sensor has a dynamic range higher than the optical measurement technique.As shown in Fig. 7 the measurement response with optical technique saturates beyond 88 µM of creatinine concentration used in the incubation phase.However, in the proposed sensor, the curve seems to have a saturating effect, but there is considerable sensitivity from 88 µM to 880 µM.The variation of frequency in this range is 25 MHz and is considerably higher than the process variation of 3 MHz, therefore, showing an order of magnitude higher dynamic range compared to the established optical technique.This can be attributed to the contrast of permittivity between water molecules and the anti-creatinine antibodies.When comparing the sensitivity of the two approaches, the percentage change of frequency per 10 fold increase in concentration of creatinine with respect to the total frequency shift over the entire dynamic range (∼42%) is comparable to the percentage change in E 450nm intensity (∼40%).
Error bar measurement.In order to determine the error bar in the measurement and also to determine the reproducibility of the sensor system from the measurement perspective, several sets of chips with the same samples of pre-incubated antibodies were tested at the same time in aqueous solution.The maximum standard deviation in the resonant frequency for similar measurement conditions is 0.223.The frequency response of two sets of chips showing maximum measurement variations were plotted.The resonant frequency contrast for the two sets of chips was observed for all four antibody samples incubated with different amounts of creatinine.The maximum drift in the resonant frequency of two chips with the same sample of antibodies was observed to be 4 MHz, as shown in Fig. 12.This drift in the resonant frequency is approximately a tenth of the measured sensitivity of the sensor.The observed variation is considerably less than the sensitivity showing high reproducibility of the immunosensor system.

Conclusions
The results show that creatinine can be measured with the developed CMOS high frequency dielectric immunosensor in the clinically relevant concentration range.The electrical measurement results show close agreement with optical standard measurement techniques.The measurement capability in the order of nanomolar concentration level shows that such a high frequency sensor can be successfully used for relevant measurements in clinical diagnostics.The measured frequency shift of 35 MHz in the clinically relevant regime of creatinine concentration of 0.88 µM to 88 µM is much higher than the effect of process variation.The effect of process variation was measured and was shown to be negligible in comparison to the sensitivity of the sensor.This was shown in the error bar measurement conducted with two sets of chips.Therefore, it can be deduced that the demonstrated CMOS high frequency sensor has considerable stability for clinical measurements.The miniaturized sensor design and the exclusion of any labelling compounds will reduce the costs in comparison to other antibody-based creatinine assays enormously.Additionally the capability of immobilization of creatinine molecules on a standard passivation layer of CMOS process (Si 3 N 4 ) removes the need for any post processing techniques of the silicon chip required for immobilization of creatinine molecules.This result is very significant for future CMOS immunosensors for creatinine and can be adapted to other antigen antibody couples.Since the already published creatinine enzyme immunoassays and indirect immunosensors can specifically measure creatinine in real human serum samples it can be assumed that the developed immunosensor which uses the same antibody is also able to measure real samples.Since nanomolar analyte concentrations can be determined it can be stated that in the future the developed technology could be adapted for other clinically relevant analytes as well.

Fig. 1
Fig. 1 (a) Schematic view of 0.13 µm SiGe:C BiCMOS stack with seven metal layers.The IDC is fabricated on the penultimate metal layer marked as TM1 (thickness 2 µm).(b) Geometrical parameters of IDC showing the spatial wavelength.The 2D semi-infinite model of a unit cell of the IDC.

Fig. 3
Fig. 3 Schematic view of the dielectric sensor circuit.The transistors M1 and M2 drive the oscillations and M3 and M4 constitute the buffer stage.The IDC acts as the variable capacitor for the oscillator.

Fig. 4
Fig.4Typical variation of IDC capacitance as a function of concentration of creatinine molecules used in the incubation of antibodies.The capacitance increases with increasing incubation creatinine concentration.The capacitance variation is strong when the surrounding medium is water while with air the variation is negligible.

Fig. 5
Fig. 5 Chip photograph of Si 3 N 4 /Si test chip for optical measurement.

Fig. 6
Fig. 6 Indirect competitive assay principle for optical creatinine determination with creatinine-modified Si 3 N 4 test chips.

Fig. 7
Fig. 7 Optical measurement of creatinine concentration.The response slope of the optical measurement in the range 0.88 to 88 µM shows the dynamic range of the standard measurement technique.

Fig. 8
Fig. 8 Chip photograph of dielectric sensor.The sensor area (IDC) is marked in red.
frequency of the oscillator close to the one with water on top of the IDC.

Fig. 9
Fig. 9 Calibration of sensor circuit with glucose solution.The red curve shows the simulation and the black triangles are the measurement results.The resonant frequency up-shifts with increasing glucose concentration.

Fig. 10 (
Fig. 10 (a) Resonant frequency peak for the chip treated with antibodies incubated with 0.88 µM creatinine.(b) Resonant frequency peak for the chip treated with antibodies incubated with 88 µM creatinine.

Fig. 11
Fig. 11 Measured variation of resonant frequency as a function of creatinine concentration used in the incubation of antibodies.The black curve shows the resonant frequency for four samples with increasing concentration of creatinine used during incubation when the experiment was done in an aqueous (water) environment.The resonant frequency downshifts with increasing creatinine concentration.The red curve shows the same experiment done with air as the surrounding medium.

Fig. 12
Fig. 12 Error bar measurement for two sets of chips.The maximum frequency drift between two chips does not exceed 4 MHz.