Non-linear blood-brain barrier transport and dosing strategies influence receptor occupancy ratios of morphine and its metabolites in pain matrix.

BACKGROUND AND PURPOSE: Morphine is important for treatment of acute and chronic pain. However, there is high interpatient variability and often inadequate pain relief and adverse effects. To better understand variability in the dose-effect relationships of morphine, we investigated the effects of its non-linear blood-brain barrier (BBB) transport on µ-receptor occupancy in different CNS locations, in conjunction with its main metabolites that bind to the same receptor. EXPERIMENTAL APPROACH: CNS exposure profiles for morphine, M3G and M6G for clinically relevant dosing regimens based on intravenous, oral immediate- and extended-release formulations were generated using a physiology-based pharmacokinetic model of the CNS, with non-linear BBB transport of morphine. The simulated CNS exposure profiles were then used to derive corresponding µ-receptor occupancies at multiple CNS pain matrix locations. KEY RESULTS: Simulated CNS exposure profiles for morphine, M3G and M6G, associated with non-linear BBB transport of morphine resulted in varying µ-receptor occupancies between different dose regimens, formulations and CNS locations. At lower doses, the µ-receptor occupancy of morphine was relatively higher than at higher doses of morphine, due to the relative contribution of M3G and M6G. At such higher doses, M6G showed higher occupancy than morphine, whereas M3G occupancy was low throughout the dose ranges. CONCLUSION AND IMPLICATIONS: Non-linear BBB transport of morphine affects the µ-receptor occupancy ratios of morphine with its metabolites, depending on dose and route of administration, and CNS location. These predictions need validation in animal or clinical experiments, to understand the clinical implications.

Kinetic titration method in flow cytometry for quantification of cell receptors.

For the quantitative determination of cell receptors by fluorescence flow cytometry, we proposed a new method, which takes into account the reaction kinetics. The binding reaction of the ligand with receptors begins after placing the cells in the ligand solution. In the proposed method, there are several samples with the same concentration of cells and different initial concentrations of fluorescently labeled ligand, and each sample is measured by a flow cytometer once at the time when the following condition is met: the product of the incubation time (cells with ligand) and the initial concentration of ligand is the same for all samples. The proposed approach eliminates disadvantages and combines advantages of both kinetic and titration methods for quantification of receptors on single cells without the use of traditional calibration fluorescent beads. Practical application of the method was demonstrated in quantification of CD8 and CD14 on peripheral blood human leukocytes. Particularly, we found decreased (by a factor of two) mean number of CD14 on monocytes and granulocytes in patients with atherosclerosis (treated in the hospital) compared to conditionally healthy donors, whereas no difference was found in the mean CD8 expression on leukocytes between the same patient and donor groups.

Pharmacodynamic model of slow reversible binding and its applications in pharmacokinetic/pharmacodynamic modeling: review and tutorial.

Therapeutic responses of most drugs are initiated by the rate and degree of binding to their receptors or targets. The law of mass action describes the rate of drug-receptor complex association (kon) and dissociation (koff) where the ratio koff/kon is the equilibrium dissociation constant (Kd). Drugs with slow reversible binding (SRB) often demonstrate delayed onset and prolonged pharmacodynamic effects. This report reviews evidence for drugs with SRB features, describes previous pharmacokinetic/pharmacodynamic (PK/PD) modeling efforts of several such drugs, provides a tutorial on the mathematics and properties of SRB models, demonstrates applications of SRB models to additional compounds, and compares PK/PD fittings of SRB with other mechanistic models. We identified and summarized 52 drugs with in vitro-confirmed SRB from a PubMed literature search. Simulations with a SRB model and observed PK/PD profiles showed delayed and prolonged responses and that increasing doses/kon or decreasing koff led to greater expected maximum effects and a longer duration of effects. Recession slopes for return of responses to baseline after single doses were nearly linear with an inflection point that approaches a limiting value at larger doses. The SRB model newly captured literature data for the antihypertensive effects of candesartan and antiallergic effects of noberastine. Their PD profiles could also be fitted with indirect response and biophase models with minimal differences. The applicability of SRB models is probably commonplace, but underappreciated, owing to the need for in vitro confirmation of binding kinetics and the similarity of PK/PD profiles to models with other mechanistic determinants.

Novel agonist and antagonist radioligands for the GLP-2 receptor. Useful tools for studies of basic GLP-2 receptor pharmacology.

BACKGROUND: Glucagon-like peptide-2 (GLP-2) is a pro-glucagon-derived hormone secreted from intestinal enteroendocrine L cells with actions on gut and bones. GLP-2(1-33) is cleaved by DPP-4, forming GLP-2(3-33), having low intrinsic activity and competitive antagonism properties at GLP-2 receptors. We created radioligands based on these two molecules. EXPERIMENTAL APPROACH: The methionine in position 10 of GLP-2(1-33) and GLP-2(3-33) was substituted with tyrosine (M10Y) enabling oxidative iodination, creating [125 I]-hGLP-2(1-33,M10Y) and [125 I]-hGLP-2(3-33,M10Y). Both were characterized by competition binding, on-and-off-rate determination and receptor activation. Receptor expression was determined by target-tissue autoradiography and immunohistochemistry. KEY RESULTS: Both M10Y-substituted peptides induced cAMP production via the GLP-2 receptor comparable to the wildtype peptides. GLP-2(3-33,M10Y) maintained the antagonistic properties of GLP-2(3-33). However, hGLP-2(1-33,M10Y) had lower arrestin recruitment than hGLP-2(1-33). High affinities for the hGLP-2 receptor were observed using [125 I]-hGLP-2(1-33,M10Y) and [125 I]-hGLP-2(3-33,M10Y) with KD values of 59.3 and 40.6 nM. The latter (with antagonistic properties) had higher Bmax and faster on and off rates compared to the former (full agonist). Both bound the hGLP-1 receptor with low affinity (Ki of 130 and 330 nM, respectively). Autoradiography in wildtype mice revealed strong labelling of subepithelial myofibroblasts, confirmed by immunohistochemistry using a GLP-2 receptor specific antibody that in turn was confirmed in GLP-2 receptor knock-out mice. CONCLUSION AND IMPLICATIONS: Two new radioligands with different binding kinetics, one a full agonist and the other a weak partial agonist with antagonistic properties were developed and subepithelial myofibroblasts identified as a major site for GLP-2 receptor expression.

Dynamic Tracking Biosensors: Finding Needles in a Haystack.

Accurate detection of target molecules at low concentrations in the presence of undesired molecules in abundance is a major challenge for biosensors. Nonspecific binding of undesired molecules to receptors limits the minimum detectable concentration of the target significantly. Dynamic tracking (DT) of binding and unbinding events allows us to overcome this challenge and provides a remarkable improvement in the minimum detectable target concentration. Through a combination of theoretical analysis and detailed statistical simulations, here we show that, with aggressive scaling, DT sensors are capable of fM detection limits even if the undesired molecules are present at nM concentrations, which is several orders of magnitude better than traditional endpoint (EP) biosensors. In addition, we propose a novel unconstrained detection scheme that does not rely on a priori knowledge of the dissociation constants and also allows facile back-extraction of critical parameters. Indeed, this work provides a theoretical basis for DT sensors and demonstrates its suitability to usher in a new paradigm on biosensing in hostile environments.

Calibration-free quantitative immunoassay by flow cytometry: Theoretical consideration and practical implementation for IgG antibody binding to CD14 receptors on human leukocytes.

We propose a calibration-free method to determine the number of receptors per cell, as well as the direct and the reverse reaction rate constants for a single receptor. The method is based on the analysis of the temporal evolution of the cells mean fluorescent intensity measured by a flow cytometer during the ligand-receptor (antigen-antibody) binding under the conditions of their comparable concentrations. We developed the kinetic approach accounting both for the delay between the dilution and the measurement and for the practical duration of the measurement itself. The method was applied to determine thenumber of CD14 receptors on human blood mononuclear (granulocytes, monocytes, lymphocytes) cells of several donors. We also obtained the direct ( k+= (5.6 ± 0.2) × 107 M-1 min-1 ) and reverse ( k-= (1.3 ± 0.2) × 10-2 min-1 ) rate constants of ligand-receptor interaction, and estimated the size of the binding site as b = 0.5 nm. The latter allows one to recalculate the rate constants for a different ligand, fluorescent label, medium viscosity, and/or temperature. The knowledge of the rate constants is essential for the calibration-free determination of the number of receptors per cell from a single kinetic curve of the cells mean fluorescence intensity.

Receptor binding kinetics equations: Derivation using the Laplace transform method.

INTRODUCTION: Measuring unlabeled ligand receptor binding kinetics is valuable in optimizing and understanding drug action. Unfortunately, deriving equations for estimating kinetic parameters is challenging because it involves calculus; integration can be a frustrating barrier to the pharmacologist seeking to measure simple rate parameters. Here, a well-known tool for simplifying the derivation, the Laplace transform, is applied to models of receptor-ligand interaction. The method transforms differential equations to a form in which simple algebra can be applied to solve for the variable of interest, for example the concentration of ligand-bound receptor. METHODS: The goal is to provide instruction using familiar examples, to enable investigators familiar with handling equilibrium binding equations to derive kinetic equations for receptor-ligand interaction. First, the Laplace transform is used to derive the equations for association and dissociation of labeled ligand binding. Next, its use for unlabeled ligand kinetic equations is exemplified by a full derivation of the kinetics of competitive binding equation. Finally, new unlabeled ligand equations are derived using the Laplace transform. These equations incorporate a pre-incubation step with unlabeled or labeled ligand. RESULTS: Four equations for measuring unlabeled ligand kinetics were compared and the two new equations verified by comparison with numerical solution. Importantly, the equations have not been verified with experimental data because no such experiments are evident in the literature. Equations were formatted for use in the curve-fitting program GraphPad Prism 6.0 and fitted to simulated data. DISCUSSION: This description of the Laplace transform method will enable pharmacologists to derive kinetic equations for their model or experimental paradigm under study. Application of the transform will expand the set of equations available for the pharmacologist to measure unlabeled ligand binding kinetics, and for other time-dependent pharmacological activities.

A Glycoengineered Interferon-ß Mutein (R27T) Generates Prolonged Signaling by an Altered Receptor-Binding Kinetics.

The glycoengineering approach is used to improve biophysical properties of protein-based drugs, but its direct impact on binding affinity and kinetic properties for the glycoengineered protein and its binding partner interaction is unclear. Type I interferon (IFN) receptors, composed of IFNAR1 and IFNAR2, have different binding strengths, and sequentially bind to IFN in the dominant direction, leading to activation of signals and induces a variety of biological effects. Here, we evaluated receptor-binding kinetics for each state of binary and ternary complex formation between recombinant human IFN-ß-1a and the glycoengineered IFN-ß mutein (R27T) using the heterodimeric Fc-fusion technology, and compared biological responses between them. Our results have provided evidence that the additional glycan of R27T, located at the binding interface of IFNAR2, destabilizes the interaction with IFNAR2 via steric hindrance, and simultaneously enhances the interaction with IFNAR1 by restricting the conformational freedom of R27T. Consequentially, altered receptor-binding kinetics of R27T in the ternary complex formation led to a substantial increase in strength and duration of biological responses such as prolonged signal activation and gene expression, contributing to enhanced anti-proliferative activity. In conclusion, our findings reveal N-glycan at residue 25 of R27T is a crucial regulator of receptor-binding kinetics that changes biological activities such as long-lasting activation. Thus, we believe that R27T may be clinically beneficial for patients with multiple sclerosis.