New Tb3+–simvastatin optical biosensor for sensitive determination of folic acid, progesterone, testosterone and vitamin D3 in biological fluids

An innovative, simple and cost effective Tb3+–simvastatin photo probe was designed and used as a core for a spectrofluorometric approach to sensitively determine four vital biological compounds in different matrices. A Tb3+–simvastatin complex displays a characteristic electrical band with λem at 545 nm with significant luminescence intensity, which is quenched in the presence of folic acid, progesterone, testosterone and vitamin D3 at four variant sets of pH: 5.0, 6.2, 7.5 and 9.0, respectively. The conditions were optimized and the best solvent for operation was found to be acetonitrile at λex at 340 nm. Folic acid was successfully estimated in tablet dosage form, urine and serum in the concentration range of 2.49 × 10−9 to 1.28 × 10−6 mol L−1. Progesterone, testosterone and vitamin D3 were also assessed in serum samples using the same optimal conditions within concentration ranges of 5 × 10−9 to 1.9 × 10−6, 5 × 10−9 to 2.8 × 10−6 and 5 × 10−9 to 4.2 × 10−6 mol L−1, respectively. The proposed luminescence method was validated in accordance with ICH guidelines and found to be accurate, precise, and specific and free from any interference at the working pH for each analyte. The cost effectiveness and applicability of the method make it a good choice for routine analysis of the four compounds and early diagnosis of chronic diseases associated with abnormalities in their physiological levels.


Introduction
Folic acid (FCA), vitamin B9, is a water-soluble vitamin 1 found naturally in various types of foods as legumes, leafy green vegetables, wheat germs, beets, broccoli, citrus fruits, fermented products, beef liver and eggs. FCA is an essential supplement for pregnant women in the rst trimester to avoid birth abnormalities including congenital heart diseases and neural tube defects and autism. 2 FCA is essential for DNA and RNA production and amino acid metabolism. 3 Untreated deciency of FCA is linked with different health problems, including neurological and psychological manifestations like psychosis, depression, insomnia, and Alzheimer's disease, increase risk of cancer and osteoporosis. 4 Elevated levels of homocysteine, a biomarker for arteriosclerosis, is also associated with FCA deciency. Other symptoms include poor cognitive performance, hearing loss and other symptoms including fatigue, heart palpitations, shortness of breath, hair and skin discoloration, mouth sores, and swollen tongue. 5 Different analytical techniques were reported in the literature for FCA determination in dosage form, dietary supplements, beverages and biological samples including spectroscopy 6 and chromatography 7 and electrochemistry. 8 The chemical structure of folic acid is presented in Fig. 1.
Progesterone (PGS) is a member of progestogen steroid hormones group, secreted mainly during the menstrual cycle by the corpus luteum preparing the body for conception in case of ova fertilization. 9 PGS is used in oral contraception either in single form or combined with estrogen and as hormonal replacement therapy to alleviate menopause symptoms. Low levels of progesterone may lead to abnormal bleeding during menstruation, premature labor and miscarriage during pregnancy and considered as sign for poly-cystic ovarian syndrome. While PGS elevated level may increase the risk of breast cancer development and marker for adrenal hyperplasia. PGS concentrations was recently estimated using different analytical approaches; spectroscopic, 10 chromatographic, 11 electrochemical methods 12 and immunological assay. 13 The chemical structure of PGS is presented in Fig. 1.
Testosterone (TST), an anabolic steroid, is the primary male sex hormone where it regulates RBCs production, libido, fertility, spermatogenesis, fat distribution, bone and muscle mass. 14 Imbalance in levels TST may can cause serious body dysfunctions where diminished levels have an inverse impact sexual drive, erection, sperm count and muscle strength. Abnormal high TST levels may trigger early puberty in males and menstrual irregularities and baldness in females. 15 TST could also be as a medication to replenish its insufficiency, manage breast cancer in women and enhance physique and performance, for instance in athletes. 16 Its concentration in different matrices as plasma, serum, saliva was recently measured through spectroscopic 17 chromatographic 18 electrochemical methods 19 and capillary electrophoresis. 20 Fig. 1 shows the structure of TST.
Vitamin D 3 , one of fat-soluble vitamins, is naturally found in different types of foods as oily or fatty sh, dairy products, beefy liver and egg yolk and synthetized endogenously in human body upon exposure to sun. Vit. D 3 is converted to its active form through two successive hydroxylation steps forming calcidiol (25-hydroxyvitamin D) in liver followed by calcitriol (1,25-dihydroxyvitamin D) in kidney. It has a major role in regulation concentration of phosphate and calcium in serum and essential in bone remodeling and growth. 21 It is also used to improve the cognitive functions and in treatment of specic type of psoriasis. In addition, it contributed to the management of Covid-19 by reducing the cytokine storms and thrombotic episodes associated with the infection. 22 The deciency of Vit. D may lead to serious conditions as rickets and osteomalacia in young and adults, respectively. 23 Low levels of Vit. D is also associated with increased risk of colon and pancreatic cancer respiratory acute infections. 24 On the other hand, the excessive intake of Vit. D may increase the levels of calcium both in so tissues (calcinosis) and blood (hypercalcemia). To evaluate the status of Vit. D in human body, calcidiol level in blood is used as best indicator. The chemical structure of Vit. D is displayed in Fig. 1. In the last decade, quantication of Vit. D and/or its metabolites was established through chemiluminescent assay, 25 chromatography. 26 The reported methods showed relatively high limits of detection which restricts their practical applications. Moreover, the measurement of low concentrations of folic acid, progesterone, testosterone and vitamin D 3 in biological samples along with interference from some biomolecules such as uric acid (UA), ascorbic acid (AA), and different hormones requires to efficiently improve the sensitivity of chromatographic methods and the electrochemical sensors for practical applications. Therefore, developing a simple method for accurate determination of folic acid, progesterone, testosterone and vitamin D 3 in the presence of each other in the same sample is still of great signicance. Today, the research eld in which the lanthanide complexes were used as biosensors has a great interest. [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42] Luminescent optical biosensor Tb(simvastatin) 3 (Tb-SIM) complex embedded in PEG matrix have many advantages over the mentioned traditional methods. Terbium ion has sharp and precise emission bands in green light region. The terbium ion is used as photo probe for many analytes with a high selectivity depends on the excitation wavelength of terbium-analyte complex, pH and the type of solvent of the test solution. Doping of the optical sensors in the polymer matrix increases its stability and durability. [30][31][32][33][34][35][36] The sensor can provide a constant signal response for two years, which makes it 24-fold better balance compared to the lifetime warranted for the chromatographic and electrochemical methods. The source of error of the present work eliminated as it more stables for a long time; it gives a low standard deviation value. The higher stability of the current sensor can be attributed to the doping of the optical sensor in the polymer matrix.

Materials and reagents
Pure folic acid standard was kindly supplied by the National Organization for Drug control and Research (Giza, Egypt). Pharmaceutical preparation of folic acid tablets dosage form labelled to contain 500 mg manufactured by Mepaco-Medifood (Arab Company for Pharmaceutical and Medicinal plants, Egypt) was purchased from community pharmacy in the Egyptian market. Progesterone, testosterone, vitamin D 3 , solvents including ethanol, acetonitrile, dimethylformamide (DMF), chloroform and dimethyl sulfoxide (DMSO) were purchased from Sigma Aldrich. Analytical grade ammonium hydroxide (NH 4 OH), hydrochloric acid (HCl), Tb (NO 3 ) 3 $5H 2 O, simvastatin and polyethylene glycol (PEG) were purchased from Sigma Aldrich.
The Human real samples were gathered from both Ain Shams Specialized and Teaching New Al-Kasr-El-Aini Hospitals, Cairo, Egypt in accordance with the approved protocol of World Health Organization (WHO) for the collection of human specimens and the use of the clinically related information and data for the purpose of research. The patients approved and were all consented before using their samples.

Preparation of standard solutions
Stock solutions of Tb (NO 3 ) 3 $5H 2 O and simvastatin; were prepared separately by accurately weighing and transferring 0.11 g and 0.039 g, respectively of their authentic pure forms into separate 25 mL volumetric asks by the aid of the least amount of ethanol till dissolution and completing the volume with the same solvent to obtain nal concentration of (10 À2 mol L À1 ) for each of them.
Tb 3+ -simvastatin complex solution; was prepared by mixing 0.1 mL of Tb(NO 3 ) 3 stock solution with 0.3 mL of simvastatin ( Fig. 1) stock solution in 10 mL volumetric ask and completing the volume to the mark with acetonitrile.
For the four compounds under study, all stock solutions were separately prepared in 10 mL volumetric asks in concentration of solution (10 À2 mol L À1 ). This was achieved by dissolving 0.044 g of FCA in least amount of DMF and then completing the volume to the mark using acetonitrile. For PGS, TST and Vit. D 0.031 g, 0.0288 g, 0.033 g, were dissolved, respectively in small amount of ethanol and then volume was diluted to the mark with acetonitrile. Further dilutions for the stock solutions using acetonitrile were performed to obtain working solutions with concentrations of 1.0 Â 10 À4 to 1.0 Â 10 À9 mol L À1 of FCA, PGS, TST and Vit. D. 0.1 mol L À1 of NH 4 OH and HCl were used to adjust the pH to 9.0, 5.0, 6.2, 7.5 for FCA, PGS, TST and Vit. D, respectively. All the prepared solutions should be kept at low temperature (2-8 C) to remain stable.

Preparation of FCA pharmaceutical dosage form solution
Ten tablets of Folic acid® 500 mg were weighed and grinded into ne homogenous powder. The average weight of one tablet was calculated and dissolved in few mL of DMF and sonicated for 20 minutes. The solution was then ltered using whattman lter papers (12 mm) into 10 mL volumetric ask to obtain nal concentration of FCA equivalent to 1.1 Â 10 À3 mol L À1 . Further dilution was performed to obtain different solutions with concentration range of (1.0 Â 10 À4 to 1.0 Â 10 À7 mol L À1 ) was prepared by appropriate dilution with acetonitrile.

Preparation of urine sample spiked with FCA
The urine sample was collected from a healthy volunteer who didn't administer any previous medications, it was then manipulated in the lab as follows; 10 mL of the collected urine sample were centrifuged at 4000 rpm for 15 min to remove all interferants including crystals, salts, pus and red blood cells. 1.0 mL of urine was spiked with 1.0 mL of previously prepared drug solution with concentration of 1.0 Â 10 À6 mol L À1 and completed by acetonitrile to the mark in 10 mL measuring ask.
2.6. Preparation serum samples spiked with FCA, PGS, TST and Vit. D 3 A 1.0 mL of samples of blood collected from healthy volunteers was centrifuged for 15 min at 4000 rpm to remove proteins. 0.1 mL of the serum sample was added to 1.0 mL of each drug working solution of concentration 1.0 Â 10 À6 mol L À1 and the volume was complete to 10 mL by acetonitrile to obtain 1.0 Â 10 À7 mol L À1 for each drug in four separate 10 mL measuring asks.

Preparation of Tb-SIM biosensor embedded in PEG
Tb-SIM complex was prepared in the solid state by mixing an equal volume of 1.0 Â 10 À4 mol L À1 Tb ion and 3.0 Â 10 À4 mol L À1 simvastatin in ethanol, then evaporation near the dryness of the solution, a pale pink solid was obtained aer cooling in air. The thin lm was prepared by dissolving 0.1 g of the solidied and seamless complex in 3 mL ethanol and then adding 10 mL of viscose freshly prepared PEG with stirring for about one hour until a homogenous solution was obtained. A thin lm was fabricated by spin-coating on a small quartz slide (width 8.5 mm, height 25 mm) to quick t in the cuvette of the spectrouorometer.

Recommended procedure
An appropriate volume (100 mL) of various standard concentrations of folic acid, progesterone, testosterone and vitamin D 3 should be diluted to 3 mL with acetonitrile. The dilute solution was mixed with a thin lm of biosensing Tb-SIM doped in PEG matrix in the quartz cell of a spectrouorometer. The luminescence spectra were recorded at the excitation wavelength l ex ¼ 340 nm. Aer each measurement, the optical sensor was washed with acetonitrile, and the calibration curve was built by applying the Stern's Volmer equation by plotting (F/F o ) the at l em ¼ 545 nm on the y-axis versus the folic acid, progesterone, testosterone and vitamin D 3 concentration in mol L À1 on the xaxis.

Determination of FCA in tablet dosage form
The tablet dosage form solutions previously prepared under (2.4) were analyzed using the following procedures: in the spectrouorometer cell, 1.0 mL of the tablet solutions was separately added followed by the 1.5 mL of acetonitrile in presence of the biosensor lm. Aer mixing, the obtained solutions were scanned, and luminescence spectra were recorded at l ex /l em ¼ 340/545 nm. The concentrations of the real samples were calculated using corresponding regression equation.

Determination of FCA in spiked urine samples
The luminescence spectra of the previously prepared spiked urine samples as detailed under (2.5) were scanned at l ex /l em ¼ 340/545 nm and the concentration of spiked FCA was determined using the corresponding regression equation adopting the standard addition technique.  The luminescence spectra of the serum samples previously prepared as described under (2.6) were measured adopting the same procedures followed under (3.2). The concentrations of each real sample were calculated using corresponding regression equation.

General features of absorption and emission spectra of Tb-SIM complex
Owing to the f-f transition forbiddance of trivalent ion (Tb 3+ ), there is a restriction to directly absorb light which could be overcome through the antenna effect via the coupling between Tb 3+ and a prominently absorbing organic ligand leading to efficient energy transfer and light absorption processes. Regarding the proposed photo probe, Tb 3+ is surrounded covalently by 3 molecules of simvastatin ligand responsible for efficient absorption of light and transfer of energy to populate 5 D 4 state of Tb 3+ . 43 The emission of the formed complex Tb-SIM exhibited four specic and intense bands because of the 5 D 4 -7 F J transitions (J ¼ 6, 5, 4 and 3). 44

Absorption and emission spectra
The absorption spectra of Tb (NO 3 ) 3 , simvastatin and Tb 3+simvastatin complex are shown in Fig. 2a. A red shi by 7 nm and the absorbance value is enhanced denoting that simvastatin could form a stable complex with Tb 3+ . The absorption spectra of FCA, PGS, TST and Vit. D 3 were scanned alone and in the presence of the optical sensor are shown in Fig. 2b.
The emission spectra of Tb 3+ -SIM complex aer adding different concentrations of FCA, PGS, TST and Vit. D 3 using acetonitrile as solvent are shown in Fig. 3a-d, respectively. The characteristic electrical emission band of Tb 3+ exhibited at l em 545 nm was quenched due to energy transfer from the optical sensor to FCA, PGS, TST and Vit. D 3 .

Experimental variables
3.3.1. Tb 3+ and simvastatin amounts. The Tb 3+ -simvastatin complex was formed in ratio 1 M: 3 L indicating that the metal coordinates to the ligand at different sites of coordination not via oxygen only, Fig. 4a. 3.3.2. Solvent effect. The intensity of luminescence of solutions containing Tb 3+ (1.0 Â 10 À4 mol L À1 ) and simvastatin (3.0 Â 10 À4 mol L À1 ) was investigated in different solvents and the results revealed that maximum enhancement was noticed in acetonitrile as presented in Fig. 4b. Solvents with hydroxyl group as ethanol diminishes the luminescence intensity due to transfer of vibrational energy to molecules of solvents. [45][46][47][48][49][50][51][52] 3.3.3. pH effect. The medium pH has a signicant inuence on the luminescence intensity of the formed Tb 3+ -simvastatin complex. Solutions of NH 4 OH and HCl, both 0.1 mol L À1 were used for pH adjustment. The highest luminescent intensity at l em 545 nm was observed at pH ¼ 8.2 as shown in Fig. 4c. 53-60

Mechanism of emission quenching
Upon adding different concentrations of FCA, PGS, TST and Vit. D 3 to the Tb-SIM photo probe a notied quenching in its luminescent intensity occurs owing to the approach of the analytes under study and formation of H-bond between the hydroxyl group in both of TST and Vit. D 3 , carboxylic group in FCA and enol group in PGS with the SIM. The formation of H-bonding lead to the depression or decrease in the transfer of energy to the Tb 3+ ion and consequently the luminescence intensity is signicantly quenched.
The pH effect on the luminescence intensity aer the addition of the studied analytes to the proposed photoprobe was studied and the luminescence quenching was observed at pH 5.0, 6.2, 7.5 and 9.0 for FCA, PGS, TST and Vit. D 3 respectively.
The regression equations were computed and the regression parameters in addition the LOD and LOQ were calculated, and results were presented in Table 1.

Accuracy and precision
The accuracy of the developed method was further investigated via applying the standard addition technique and calculating the recovery%. Assessing the obtained recovery was performed through determination of agreement extent between the measured and actual added standard concentration of analyte. All assays were repeated 3 times within the same day and different days to assess the repeatability and intermediate precision, respectively. Three different levels of the analyte concentrations were used in the assays and the results were summarized and presented in (Table 2).

Selectivity
The selectivity of the proposed method was investigated through analyzing placebo blank and synthetically prepared mixtures. All possible interfering inactive compounds were used to prepare a placebo containing; 50 mg calcium carbonate, 20 mg calcium dihydrogen orthophosphate, 30 mg lactose, 100 mg magnesium stearate, 40 methyl cellulose, 70 mg sodium alginate, 300 mg starch and 250 mg Talc. Extraction was performed using water and the solution was manipulated as detailed under 2.4. A suitable aliquot of the obtained solution was analyzed aer the addition of the optical sensor Tb 3+ -simvastatin, and the luminescence spectra were recorded at l ex / l em ¼ 340/545 nm following the optimized conditions.
The validity and selectivity were further assessed in presence of some proteins and hormones that may interfere as cortisol, Thyroid stimulating hormone, norepinephrine, dopamine and albumin within concentration range of 0.08 g L À1 . The interference of 0.0.06 g L À1 urea, 0.08 g L À1 glucose, uric acid and folic acid was also studied, and the resulting data revealed that there was no signicant effect on the observed luminescence activity of the proposed photo probe under optimized conditions.
In addition, the proposed optical probe was successfully applied for selective determination of FCA, PGS, TST and Vit. D 3 either as single or in combination in synthetically prepared mixtures. Four synthetic mixtures were prepared by adding different concentrations of FCA, PGS, TST and Vit. D 3 within  their linearity range in 4 similar sets of 10 mL volumetric asks containing 1.0 mL of the serum sample as mentioned under 2.6. The pH of the rst set was adjusted to 5.0 for selective determination of FCA in presence of PGS, TST and Vit. D 3 , the pH of the second set was adjusted to 6.2 for the determination of PGS in presence of FCA, TST and Vit. D 3 , the pH of the third set was adjusted to 7.5 for determination of TST in presence of FCA, PGS, and Vit D 3 , nally the pH of the fourth set was adjusted to 9 for determination of Vit D 3 in presence of FCA, PGS, TST and the volume was completed with acetonitrile for the four sets. Thus, each mixture was prepared 4 times but at different pH (5.0, 6.2, 7.5 and 9.0) for selective estimation of FCA, PGS, TST and Vit. D 3 , respectively. Each solution was in triplicates and yielded recovery% of 99.60 AE 0.47,100.8 AE 2.10, Results in Fig. 6 show that the luminescence of Tb 3+ -SIM complex in its second coordination sphere in which the quaternary mixture of FCA, PGS, TST and Vit. D 3 is quite sensitive to four variant sets of pHs. For Tb 3+ -SIM-FCA, l ex ¼ 340 and pH 5.0, give the more quenching of luminescence intensity of Tb 3+ -SIM while that for Tb 3+ -SIM-PGS was of l ex ¼ 340 and pH 6.2 and that for Tb 3+ -SIM-TST was of l ex ¼ 340 and pH 7.5, and that for Tb 3+ -SIM-Vit-D 3 was of l ex ¼ 340 and pH 9.0. Thus, a dual-controlled luminescence of smoothly dynamic reversibility is achieved and a reversible on/off switchable Tb 3+ emission of one system was observed by tuning its optimal values of pH to the optimal ones of the second and so on for the third and fourth. By this dual controlled luminescence, the quaternary mixture of FCA, PGS, TST and Vit. D3 was simultaneously resolved with average error <3.5%.
The results of the proposed method were comparable to that obtained from the reference chromatographic methods mentioned in the British pharmacopeia. 62 The limitations of the proposed method in real samples in which a hormones and proteins are existed. These biological molecules contain OH, NH and SH groups may make an interference with the analytes at different pHs.

Conclusion
The proposed analytical method based on the use of Tb 3+simvastatin complex is simple and economic and can be successfully applied for sensitive and accurate determination of folic acid, progesterone, testosterone and vitamin D 3 in different matrices including dosage forms, urine and serum. The analysis of the FCA, PGS, TST and Vit. D in biological samples can contribute to early diagnosis of some chronic diseases associated with their abnormal levels.

Conflicts of interest
The authors declare that they have no known competing nancial interests or personal relationships that could have appeared to inuence the work reported in this paper.