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1.
J Chromatogr A ; 1189(1-2): 32-41, 2008 May 02.
Artículo en Inglés | MEDLINE | ID: mdl-18068176

RESUMEN

The transfer of analytical methods from a sending laboratory to a receiving one requires to guarantee that this last laboratory will obtain accurate results. Undeniably method transfer is the ultimate step before routine implementation of the method at the receiving site. The conventional statistical approaches generally used in this domain which analyze separately the trueness and precision characteristics of the receiver do not achieve this. Therefore, this paper aims first at demonstrating the applicability of two recent statistical approaches using total error-based criterion and taking into account the uncertainty of the true value estimate of the sending laboratory, to the transfer of bioanalytical methods. To achieve this, they were successfully applied to the transfer of two fully automated liquid chromatographic method coupled on-line to solid-phase extraction. The first one was dedicated to the determination of three catecholamines in human urine using electrochemical detection, and the second one to the quantitation of N-methyl-laudanosine in plasma using fluorescence detection. Secondly, a risk-based evaluation is made in order to understand why classical statistical approaches are not sufficient to provide the guarantees that the analytical method will give most of the time accurate results during its routine use. Finally, some recommendations for the transfer studies are proposed.


Asunto(s)
Catecolaminas/orina , Cromatografía Liquida/métodos , Humanos , Isoquinolinas/sangre , Reproducibilidad de los Resultados , Extracción en Fase Sólida
2.
Artículo en Inglés | MEDLINE | ID: mdl-16935036

RESUMEN

A novel, multidimensional on-line SPE-LC method with electrochemical detection is described for the fully automated and direct analysis of the catecholamines norepinephrine, epinephrine and dopamine in urine. The integrated extractive clean-up of the raw biofluid is based on a SPE-column packed with restricted access material (RAM) which is modified with the affinity ligand nitrophenylboronic acid. The method was fully validated according to a recent approach based on an accuracy profile. The acceptance limits were set at +/-15% of the nominal concentration values. The method was found accurate over a concentration range from 15 to 500 microg/l for norepinephrine, from 5 to 500 microg/l for epinephrine and from 50 to 500 microg/l for dopamine. The relative risk for the use of the validated method in routine analysis was also assessed based on this validation strategy. It was found that at most 3.5% of future sample measurements will fall outside the acceptance limits. This demonstrates the high reliability of the analytical method described. Moreover, the measurements uncertainties were deduced from the validation experiments without any additional effort.


Asunto(s)
Catecolaminas/orina , Cromatografía Liquida/métodos , Dopamina/orina , Epinefrina/orina , Humanos , Norepinefrina/orina , Reproducibilidad de los Resultados
3.
Biochim Biophys Acta ; 693(1): 68-74, 1982 Dec 08.
Artículo en Inglés | MEDLINE | ID: mdl-7150595

RESUMEN

This study introduces a new class of active-site directed probes with respect to ADP and ATP transport catalysis in rat liver mitochondria. The anionic monoazo dyes, e.g., p-(2-hydroxy-1-naphthylazo)naphthol-sulfonic acid, are competitive inhibitors of carrier-mediated ADP uptake (Ki 20-30 microM). The azo dyes also can displace the same amount of carrier-specific bound ADP as does carboxyatractyloside. Two essential substructures could be derived from a structure-activity study. Firstly, a sulfonic acid group in the para position relative to the azo bridge which becomes neutralized upon binding by a specifically located positive charge of the carrier protein. This electrostatic binding component, which presumably is represented by a strategic arginyl residue, seems to be essential for substrate binding as well as inhibitor binding. The second structural requirement for effective inhibition was found to be the o-hydroxy or o,o'-dihydroxyazo system, which is known to form stable complexes with metal ions by chelation. Experiments on prevention and reversal of dye-mediated inhibition revealed that the metal-chelating properties are responsible for the effects observed. In addition, using bovine serum albumin or the synthetic polymer Kollidone, inhibition could be prevented as well as abolished. It is postulated that a metal ion, possibly Mg2+, which is bound to the carrier protein plays an essential role for transport catalysis. The metal ion is assumed to form a functional ternary complex, i.e., a metal bridge complex between the carrier protein and its substrate.


Asunto(s)
Adenosina Difosfato/metabolismo , Adenosina Trifosfato/metabolismo , Compuestos Azo/farmacología , Mitocondrias Hepáticas/metabolismo , Animales , Transporte Biológico/efectos de los fármacos , Cationes , Colorantes/farmacología , Cinética , Masculino , Ratas , Ratas Endogámicas , Relación Estructura-Actividad
4.
J Pharm Biomed Anal ; 36(5): 947-54, 2005 Jan 04.
Artículo en Inglés | MEDLINE | ID: mdl-15620518

RESUMEN

A new, simple and fully automated liquid chromatographic (LC) method with UV detection has been developed for the direct determination of atropine in plasma. Sample clean-up was based on the use of cation exchange restricted access material (RAM) in a pre-column, coupled to LC by means of a column switching system. After direct injection of a 200 microl-volume of plasma sample, the biological matrix was washed out for 10 min using a washing liquid composed of 2 mM lithium perchlorate adjusted to pH 3.0 and methanol (97:3; v/v). By rotation of the switching valve, atropine was then eluted in the back-flush mode for 2 min and transferred to the analytical column packed with octadecyl silica by the LC mobile phase constituted of a mixture of acetonitrile and potassium phosphate buffer (pH 3.0; 50 mM) containing 2 mM sodium heptanesulfonate (16:84; v/v). The UV detection was performed at 220 nm. The method was validated according to a new approach based on accuracy profile over a concentration range from 25 ng/ml, corresponding to the limit of quantitation, to 1000 ng/ml. The method was then applied for the determination of atropine in plasma after intravenous administration to hospitalised patients.


Asunto(s)
Atropina/sangre , Resinas de Intercambio de Catión/análisis , Sistemas en Línea/instrumentación , Cromatografía Liquida/métodos , Humanos , Espectrofotometría Ultravioleta/métodos
5.
J Pharm Biomed Anal ; 36(5): 961-8, 2005 Jan 04.
Artículo en Inglés | MEDLINE | ID: mdl-15620520

RESUMEN

In the framework of a preliminary investigation on the plasma profile of cloxacillin after oral administration, a simple and rapid LC method was developed for the direct determination of this compound in human plasma. The on-line sample clean-up was carried out using a weak anion exchanger (diethylaminoethyl groups) as restricted access material (RAM). The effects of the washing liquid pH, the ionic strength and the addition of organic modifier to the washing liquid were studied in order to obtain an efficient sample clean-up and a high recovery of cloxacillin. The separation was achieved on octadecylsilica stationary phase using a mobile phase consisting in a mixture of phosphate buffer (pH 4.0; 25 mM) and acetonitrile (72:28, v/v). The UV detection was performed at 215 nm. The most appropriate regression model of the response function as well as the limit of quantitation (LOQ) were first selected during the pre-validation step. These criteria were then assessed during the formal validation step. The LOQ was 50 ng/ml. The method was also validated with respect to analyte recovery, precision, trueness, accuracy and linearity. Finally, it was successfully applied for the analysis of the first plasma samples obtained from patients having taken an oral dose of 500 mg cloxacillin.


Asunto(s)
Resinas de Intercambio Aniónico/análisis , Cloxacilina/sangre , Cromatografía Liquida/métodos , Humanos
6.
FEBS Lett ; 160(1-2): 11-5, 1983 Aug 22.
Artículo en Inglés | MEDLINE | ID: mdl-6309561

RESUMEN

We propose a hypothetical model for the transmembrane exchange reaction catalysed by the mitochondrial adenine nucleotide carrier protein, which basically consists of an alternating reorientation of a transitory carrier-metal-nucleotide complex. The key features of the model are: the participation of an intrinsic divalent metal ion in the course of transport catalysis; the different stability constants of protonated and deprotonated nucleotide-metal complexes; the exposure and retraction of strategic arginyl residues; the alternating reorientation of the active center involving a change from the cytosolic conformation (Cc) to the matrix conformation (Cm).


Asunto(s)
Membranas Intracelulares/enzimología , Metaloproteínas/metabolismo , Mitocondrias/enzimología , Translocasas Mitocondriales de ADP y ATP/metabolismo , Nucleotidiltransferasas/metabolismo , Animales , Sitios de Unión , Citosol/metabolismo , Transporte de Electrón , Cinética , Modelos Biológicos , Modelos Moleculares , Conformación Molecular , Unión Proteica
7.
FEBS Lett ; 155(1): 6-10, 1983 May 02.
Artículo en Inglés | MEDLINE | ID: mdl-6301884

RESUMEN

The ADP,ATP carrier of rat liver mitochondria is specifically inhibited by Meisenheimer-type trinitrophenyl (TNP) derivatives of ADP and ATP. Due to a systematic inhibition study we could show that the TNP-moiety itself, even in the 2', 3'-O-cyclic Meisenheimer complex, revealed no inhibition of mitochondrial ADP,ATP transport. Nucleosidic TNP-compounds are weak inhibitors. Introduction of a phosphate group at the 5'-position, however, enhances the inhibitory power markedly. Our findings point to a synergistic effect of the 5'-phosphate chain and the TNP-moiety. Irreversible inhibition by TNP-nucleotides can be ruled out to the fact that the inhibited ADP,ATP-transport system is fully reactivated by addition of albumin.


Asunto(s)
Adenosina Difosfato/análogos & derivados , Adenosina Trifosfato/análogos & derivados , Mitocondrias Hepáticas/metabolismo , Translocasas Mitocondriales de ADP y ATP/antagonistas & inhibidores , Nucleotidiltransferasas/antagonistas & inhibidores , Adenosina Difosfato/farmacología , Adenosina Trifosfato/farmacología , Animales , Masculino , Mitocondrias Hepáticas/efectos de los fármacos , Ratas , Ratas Endogámicas
8.
Transplantation ; 57(4): 563-8, 1994 Feb 27.
Artículo en Inglés | MEDLINE | ID: mdl-8116042

RESUMEN

In this study, photochemotherapy (PCT) was used for adjunct immunosuppression in the first six months after heart transplantation (HTx). Fifteen patients after orthotopic HTx were included in the study; all received standard triple-drug immunosuppression including cyclosporine, azathioprine and glucocorticoids, but no adjunct therapy with mono- or polyclonal antibodies. The patients were divided into three groups: group I served as control with no additional treatment; group II received adjunct treatment with 10 courses of PCT (single-day treatments); and group III received 20 PCT courses since it was given each time on two consecutive days. PCT was started in both groups on day one after HTx; it was applied with a higher frequency in the early postoperative period and thereafter continued at four-week intervals for a total of 6 months. The photopheresis method for PCT included extracorporeal UVA irradiation of mononuclear cells that were treated with the photosensitive drug 8-methoxypsoralen (8-MOP) and subsequently retransfused to the patient. A new liquid form of 8-MOP was added directly to the buffy coat, resulting in reliable and sufficient drug levels in the cell suspension during the irradiation period; problems caused by oral application due to unpredictable variations in gastrointestinal absorption were thus prevented. Analysis of the total numbers of acute rejection episodes (AREs) within the first four weeks after HTx revealed a more impressive decrease by double PCT (group III, 3 AREs) than by single PCT (group II, 5 AREs) in comparison with the control (group I, 6 AREs). Over the total observation time (mean: 9.6 months), however, both PCT schedules reduced the total number of AREs observed in the control group (20 AREs) equally by more than 50% (9 AREs each in groups II and III) (P = 0.007). Furthermore, PCT treated patients had significantly fewer infections (6 infections in each group) than control group patients (15 infections) (P = 0.026); this, however, may be accounted for by the higher number of acute rejections in the control group and consequent increase in unspecific immunosuppression treatment. Our results suggest that PCT is a safe and effective method of adjunct immunosuppression that can be applied early in the postoperative period; it reduces the number of rejection episodes and does not increase the risk of infections.


Asunto(s)
Rechazo de Injerto/prevención & control , Trasplante de Corazón/inmunología , Terapia de Inmunosupresión/métodos , Metoxaleno/uso terapéutico , Fotoquimioterapia , Adulto , Biopsia , Enfermedades Transmisibles/complicaciones , Trasplante de Corazón/patología , Humanos , Leucaféresis , Persona de Mediana Edad
9.
Clin Chim Acta ; 303(1-2): 155-65, 2001 Jan.
Artículo en Inglés | MEDLINE | ID: mdl-11163036

RESUMEN

We describe the development and performance of a homogeneous assay for the direct turbidimetric determination of LDL particles in human serum. The assay is based upon the specific agglutination of LDL particles by the polyanion PAMPS. The co-agglutination of VLDL is avoided by the addition of a zwitterionic detergent. Yielding results within 10 min, the assay requires only a small sample volume taken directly from primary serum tubes, i.e., no pretreatment of the sample is necessary. It can be easily applied to routine clinical chemistry analyzers. The results are highly correlated with LDL cholesterol determinations by ultracentrifugation (r>0.95) and dextran sulfate precipitation (r>0.95), but an increased recovery of small, high density LDL particles is observed, which more adequately reflects the atherogenic risk of LDL. The assay provides excellent intra- and inter-assay CVs in the range of 0.6--1.6 and 1.7--2.4%, respectively, on Roche Diagnostics/Hitachi analyzers. The method is well suited to the high-throughput screening of LDL cholesterol levels.


Asunto(s)
LDL-Colesterol/sangre , Nefelometría y Turbidimetría/métodos , Artefactos , Humanos , Reproducibilidad de los Resultados
10.
J Chromatogr A ; 890(1): 135-44, 2000 Aug 18.
Artículo en Inglés | MEDLINE | ID: mdl-10976801

RESUMEN

A novel restricted access cation exchanger with sulphonic acid groups at the internal surface was proven to be highly suitable in the sample clean up of peptides on-line coupled to HPLC-electrospray ionization (ESI)-MS. Neuropeptide Y (NPY) and several of its fragments in plasma were subjected to the sample clean-up procedure. The peptides were eluted by a step gradient from the restricted access column, applying 10 mM phosphate buffer pH 3.5 from 5 to 20% (v/v) of acetonitrile with 1 M NaCl and transferred to a Micra ODS II column (33x4.6 mm). The separation of the peptides and their fragments was performed by a linear gradient from 20 to 60% (v/v) acetonitrile in water with 0.1% formic acid and 0.01% trifluoroacetic acid in 4 min at a flow-rate of 0.75 ml/min. An integrated and completely automated system composed of sample clean up-HPLC-ESI-MS was used to analyze real life samples. The sample volumes ranged between 20 and 100 microl. Peaks due to the fragments NPY 1-36, 3-36 and 13-36 in porcine plasma were identified by ESI-MS. The limit of detection was in the 5 nmol/ml range. The total analysis required 21 min and allowed the direct injection of plasma.


Asunto(s)
Cromatografía Líquida de Alta Presión/métodos , Espectrometría de Masas/métodos , Neuropéptido Y/análisis , Secuencia de Aminoácidos , Animales , Resinas de Intercambio de Catión/química , Datos de Secuencia Molecular , Neuropéptido Y/metabolismo , Ácidos Sulfónicos/química
11.
J Chromatogr A ; 975(1): 145-55, 2002 Oct 25.
Artículo en Inglés | MEDLINE | ID: mdl-12458755

RESUMEN

A new kind of silica-based restricted-access material (RAM) has been tested in pre-columns for the on-line solid-phase extraction (SPE) of basic drugs from directly injected plasma samples before their quantitative analysis by reversed-phase liquid chromatography (LC), using the column switching technique. The outer surface of the porous RAM particlescontains hydrophilic diol groups while sulphonic acid groups are bound to the internal surface, which gives the sorbent the properties of a strong cation exchanger towards low molecular mass compounds. Macromolecules such as proteins have no access to the internal surface of the pre-column due to their exclusion from the pores and are then flushed directly out. The retention capability of this novel packing material has been tested for some hydrophilic basic drugs, such as atropine, fenoterol, ipratropium, procaine, sotalol and terbutaline, used as model compounds. The influence of the composition of the washing liquid on the retention of the analytes in the pre-column has been investigated. The elution profiles of the different compounds and the plasma matrix as well as the time needed for the transfer of the analytes from the pre-column to the analytical column were determined in order to deduce the most suitable conditions for the clean-up step and develop on-line methods for the LC determination of these compounds in plasma. The cationic exchange sorbent was also compared to another RAM, namely RP-18 ADS (alkyl diol silica) sorbent with respect to retention capability towards basic analytes.


Asunto(s)
Resinas de Intercambio de Catión , Cromatografía Liquida/métodos , Preparaciones Farmacéuticas/sangre , Automatización
12.
J Chromatogr A ; 1030(1-2): 95-102, 2004 Mar 19.
Artículo en Inglés | MEDLINE | ID: mdl-15043258

RESUMEN

A new kind of silica-based restricted-access material (RAM) with anionic properties has been tested in pre-columns for on-line solid-phase extraction of acidic compounds from directly injected plasma samples prior to their determination by reversed-phase liquid chromatography (LC), using the column-switching technique. The outer surface of the porous RAM particles contains hydrophilic diol groups while diethylaminoethyl (DEAE) groups are bound to the internal surface which gives the sorbent the properties of a weak anion exchanger towards low-molecular-mass compounds. Due to an appropriate pore diameter (about 6 nm), macromolecules, such as proteins, are physically excluded from the pores and flushed directly out during the sample clean-up process, while small compounds have access to the inner surface and can be retained mainly by electrostatic interactions. The retention capability of this novel packing material has been tested for some hydrophilic acidic compounds such as aspartic acid, glutamic acid, ascorbic acid and acetylcysteine as well as for some more hydrophobic drugs such as naproxen, ibuprofen and diclofenac, used as model compounds. The influence of the composition of the washing liquid on the retention of the analytes in the pre-column has been investigated. The efficiency of the sorbent to clean-up complex matrices was also tested using human plasma and urine samples. A generic washing liquid composition was then selected in order to obtain efficient and selective sample clean-up as well as a high recovery of the acidic analytes.


Asunto(s)
Ácidos/análisis , Cromatografía por Intercambio Iónico/instrumentación , Resinas de Intercambio Aniónico
13.
J Chromatogr A ; 762(1-2): 193-200, 1997 Feb 21.
Artículo en Inglés | MEDLINE | ID: mdl-9098977

RESUMEN

In this paper, the on-line coupling of solid-phase extraction, based on a restricted-access support with liquid chromatography-mass spectrometry (LC-MS), for the analysis of biological samples is described. The system was tested with cortisol and prednisolone for plasma analysis and arachidonic acid for urine analysis. A precolumn packed with a 25-micron C18 alkyl-diol support is used for direct plasma or urine injection. Using column-switching techniques, the analytes enriched on the precolumn are eluted to the analytical column without transfer loss. An on-line heart-cut technique was employed and only the analyte-containing fraction eluting from the LC column is directed to the MS to protect the LC-MS interface and ion-source from contamination. The whole system is operated in a parallel mode, that is, sample pre-treatment and LC-MS analysis are performed simultaneously to provide the shortest possible analysis time. The only off-line sample pre-treatment step required was centrifugation to remove particulate matter. With the fully automated system, total analysis times of 5 and 9.5 min were achieved for cortisol in serum and arachidonic acid in urine, respectively. Cortisol and related compounds were quantitatively recovered from plasma with a detection limit for prednisolone (direct injection of 100 microliters on restricted-access precolumn) of 2 ng/ml.


Asunto(s)
Análisis Químico de la Sangre/métodos , Cromatografía Liquida/métodos , Espectrometría de Masas/métodos , Sistemas en Línea , Urinálisis/métodos , Ácido Araquidónico/orina , Fludrocortisona/sangre , Hidrocortisona/sangre , Prednisolona/sangre
14.
J Pharm Biomed Anal ; 13(4-5): 615-23, 1995 Apr.
Artículo en Inglés | MEDLINE | ID: mdl-9696577

RESUMEN

A specific, sensitive and fully automated coupled-column LC method for the determination of the anthracycline cytostatic epirubicin and four metabolites in the biological materials human plasma, liver homogenate and liver tumour homogenate has been developed. System-integrated sample processing was achieved using a new restricted access silica precolumn packing. This porous Alkyl-Diol Silica (ADS) was specially designed for the direct and repetitive injection of proteinaceous samples. It consists of a hydrophilic and electroneutral external particle surface (glyceryl-residues) and a hydrophobic reversed-phase internal surface (butyryl-, octanoyl- or octadecyl-residues). These bimodal chromatographic properties allow retention of low molecular analytes by classical RP-chromatography exclusively at the lipophilic pore surface. Macromolecular constituents of the sample matrix (e.g. proteins) are size-excluded by 5 nm pores and quantitatively eliminated in the interstitial void volume. On-line analysis was performed by coupling a C4-Alkyl-Diol precolumn (20 x 4 mm i.d., particle size 25 microns) and LiChrospher RP Select B analytical column (250 x 4 mm i.d., particle size 5 microns) via an electrically driven six-port valve. Separation of the parent compound and its metabolites was achieved with a mobile phase consisting of water (0.1% triethylamine, v/v, pH 2.0 adjusted with trichloroacetic acid)-acetonitrile (70:30, v/v) at a flow rate of 1 ml min-1. The analytes were detected using their natural fluorescence (excitation 445 nm, emission 560 nm). The method described is used for the determination of pharmacokinetics of epirubicin and its metabolites in order to evaluate and optimize treatment regimen of liver cancer chemoembolization therapy.


Asunto(s)
Epirrubicina/análisis , Neoplasias Hepáticas/tratamiento farmacológico , Cromatografía Liquida , Sistemas de Liberación de Medicamentos , Epirrubicina/farmacocinética , Epirrubicina/uso terapéutico , Humanos , Indicadores y Reactivos , Aceite Yodado/farmacocinética , Espectrometría de Fluorescencia
15.
J Pharm Biomed Anal ; 32(4-5): 829-38, 2003 Aug 08.
Artículo en Inglés | MEDLINE | ID: mdl-12899969

RESUMEN

A simple and rapid fully automated bio-analytical method for the liquid chromatographic (LC) determination of sotalol in human plasma has been described. The method is based on the use of a new kind of porous silica restricted access material (RAM) with cation exchange properties for sample clean-up. 100 microl of plasma samples were directly injected into the precolumn coupled on-line to a reversed-phase column (RP-Select B) by means of column switching system. The plasma matrix was washed out for 10 min using a washing liquid composed of 2 mM lithium perchlorate and methanol (97:3; v/v). By rotation of the switching valve, the analytes were then eluted in back-flush mode for 2 min and transferred to the analytical column by the LC mobile phase constituted of a mixture of methanol and 50 mM potassium phosphate buffer (pH 7.0) containing 1 mM 1-octanesulphonic acid sodium salt (20:80; v/v). The flow-rate was 1.0 ml/min and sotalol was detected using fluorescence detection at 235 and 300 nm as excitation and emission wavelengths, respectively. The method was then validated using a new approach based on accuracy profile over a concentration range from 5 to 500 ng/ml. The limit of quantitation (LOQ) was 5 ng/ml and the total analysis time was 19 min.


Asunto(s)
Resinas de Intercambio de Catión/análisis , Sotalol/sangre , Tecnología Farmacéutica/métodos , Cromatografía Liquida/métodos , Humanos , Reproducibilidad de los Resultados
20.
Fresenius J Anal Chem ; 371(1): 16-20, 2001 Sep.
Artículo en Inglés | MEDLINE | ID: mdl-11605750

RESUMEN

A novel, multidimensional SPE sample-processing platform for complex fluids, which relies on the combination of small LC columns packed with restricted access materials (RAM) and molecular imprinted polymers (MIP) is described. It is called the Six-S ProcEdure (Six-SPE). Six-SPE involves a size-selective sample-separation step followed by a solvent-switch. Six-SPE efficiently removes interfering matrix components of complex aqueous samples and creates optimal conditions for selective recognition, i.e. binding of the imprinted target analyte(s). A Six-SPE analysis cycle consists of four distinct steps: 1. separation of a given sample (e.g. plasma, urine, saliva, milk, etc.) by adsorptive extraction (e.g. reversed-phase partitioning) of low molecular weight components on to the stationary phase of a RAM column and simultaneous size-exclusion, i.e. quantitative disposal of macromolecular matrix constituents to waste; 2. desorption and transfer of the extract from the RAM column on to a series-connected MIP column using a pure organic mobile phase (e.g. acetonitrile) [solvent switch]; 3. molecular recognition, i.e. selective binding of the target analyte(s) by a tailor-made MIP column; and 4. desorption and transfer of the analyte fraction on to a series-connected separation (e.g. HPLC) and/or detection system (e.g. UV, FD, MS). As a first application we coupled the Six-SPE platform to a conventional HPLC system for on-line analysis of the analgesic drug Tramadol in human plasma using LiChrospher ADS RP-18 as a RAM precolumn for the fractionation step in the first and second chromatographic dimension and a Tramadol imprinted polymer for the molecular recognition step, i.e. third chromatographic dimension.

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