Interspecies and in vitro‐in vivo scaling for quantitative modeling of whole‐body drug pharmacokinetics in patients : application to the anticancer drug oxaliplatin

Quantitative systems pharmacology holds the promises of integrating results from laboratory animals or in vitro human systems into the design of human pharmacokinetic/pharmacodynamic (PK/PD) models allowing for precision and personalized medicine. However, reliable and general in vitro-to-in vivo extrapolation and interspecies scaling methods are still lacking. Here, we developed a translational strategy for the anticancer drug oxaliplatin. Using ex vivo PK data in the whole blood of the mouse, rat, and human, a model representing the amount of platinum (Pt) in the plasma and in the red blood cells was designed and could faithfully fit each dataset independently. A “purely physiologically-based (PB)” scaling approach solely based on preclinical data failed to reproduce human observations, which were then included in the calibration. Investigating approaches in which one parameter was set as species-specific, whereas the others were computed by PB scaling laws, we concluded that allowing the Pt binding rate to plasma proteins to be species-specific permitted to closely fit all data, and guaranteed parameter identifiability. Such a strategy presenting the drawback of including all clinical datasets, we further identified a minimal subset of human data ensuring accurate model calibration. Next, a “whole body” model of oxaliplatin human PK was inferred from the ex vivo study. Its three remaining parameters were estimated, using one third of the available patient data. Remarkably, the model achieved a good fit to the training dataset and successfully reproduced the unseen observations. Such validation endorsed the legitimacy of our scaling methodology calling for its testing with other drugs

Rétroactivité dans la transduction du signal : étude comparative des réponses en aval et en amont dans les cascades de signalisation

Living cells communicate with their external environment, by means of a signal transduction network, which allows them to interpret physico-chemical signals and produce appropriate responses. This complex machinery is orchestrated by signaling cascades, which play the role of intracellular transmitters, by transferring biochemical stimuli between cellular membrane and nucleus. It has been shown that a perturbation can propagate upstream (and not only downstream) a cascade, through a phenomenon called retroactivity. Our investigation aims to compare the biochemical conditions promoting one and/or the other direction of signaling in linear cascades. By means of analytical and numerical approaches, we have answered to this question, by characterizing the arising different signaling regimes, and we have designed a compact graphical representation to relay the gist of such conditions. We have also developed the concept of pathway activation profile which is, for a given stimulus, the sequence of activated proteins at each tier of the cascade, at steady state. Such sequences correspond to pieces of orbits of a two-dimensional discrete dynamical system. From the study of the possible phase portraits, as a function of the biochemical parameters, we focused on the contraction/expansion properties around the fixed points of this discrete map, and their bifurcations. We have deduced a classification of the cascade tiers into three main types, whose biological impact within a signaling network has been examined. This method also provided global insights about the interplay between forward and retroactive signaling, and how signal is amplified along the cascade activation profileLes cellules communiquent avec leur environnement par l’intermédiaire d’un réseau de transduction du signal, leur permettant d’interpréter des signaux physico-chimiques et de produire des réponses appropriées. Ce mécanisme est orchestré par des cascades de signalisation, qui jouent le rôle d’émetteurs intracellulaires en transférant des stimuli biochimiques entre la membrane et le noyau. Il a été montré qu’une perturbation peut se propager en amont (et pas seulement en aval) d’une cascade par un phénomène appelé rétroactivité. Notre étude vise à comparer les conditions biochimiques qui favorisent un et/ou l’autre sens de signalisation dans des cascades linéaires. Au moyen d’approches analytiques et numériques, nous avons caractérisé les différents régimes de signalisation résultants, que nous avons résumés avec une représentation graphique compacte. Nous avons également développé le concept de profil d’activation d’une voie de signalisation qui est, pour un stimulus donné, la séquence des protéines activées à chaque niveau de la cascade à l’état stationnaire. Ces séquences correspondent à des morceaux d’orbites d’un système dynamique discret bidimensionnel. A partir de l’étude des portraits de phase, en fonction des paramètres biochimiques, nous avons étudié les propriétés de contraction/expansion autour des points fixes et de leurs bifurcations. Nous avons classifié les niveaux de cascade en trois types et examiné leur impact biologique au sein d’un réseau de signalisation. Cette méthode a également fourni une vision globale de l’interaction entre la signalisation en avant et rétroactive, et de l’amplification du signal le long du profil d’activation de la cascad

Retroactivity in signal transduction : a comparative study of forward and backward responses in signaling cascades

Les cellules communiquent avec leur environnement par l’intermédiaire d’un réseau de transduction du signal, leur permettant d’interpréter des signaux physico-chimiques et de produire des réponses appropriées. Ce mécanisme est orchestré par des cascades de signalisation, qui jouent le rôle d’émetteurs intracellulaires en transférant des stimuli biochimiques entre la membrane et le noyau. Il a été montré qu’une perturbation peut se propager en amont (et pas seulement en aval) d’une cascade par un phénomène appelé rétroactivité. Notre étude vise à comparer les conditions biochimiques qui favorisent un et/ou l’autre sens de signalisation dans des cascades linéaires. Au moyen d’approches analytiques et numériques, nous avons caractérisé les différents régimes de signalisation résultants, que nous avons résumés avec une représentation graphique compacte. Nous avons également développé le concept de profil d’activation d’une voie de signalisation qui est, pour un stimulus donné, la séquence des protéines activées à chaque niveau de la cascade à l’état stationnaire. Ces séquences correspondent à des morceaux d’orbites d’un système dynamique discret bidimensionnel. A partir de l’étude des portraits de phase, en fonction des paramètres biochimiques, nous avons étudié les propriétés de contraction/expansion autour des points fixes et de leurs bifurcations. Nous avons classifié les niveaux de cascade en trois types et examiné leur impact biologique au sein d’un réseau de signalisation. Cette méthode a également fourni une vision globale de l’interaction entre la signalisation en avant et rétroactive, et de l’amplification du signal le long du profil d’activation de la cascadeLiving cells communicate with their external environment, by means of a signal transduction network, which allows them to interpret physico-chemical signals and produce appropriate responses. This complex machinery is orchestrated by signaling cascades, which play the role of intracellular transmitters, by transferring biochemical stimuli between cellular membrane and nucleus. It has been shown that a perturbation can propagate upstream (and not only downstream) a cascade, through a phenomenon called retroactivity. Our investigation aims to compare the biochemical conditions promoting one and/or the other direction of signaling in linear cascades. By means of analytical and numerical approaches, we have answered to this question, by characterizing the arising different signaling regimes, and we have designed a compact graphical representation to relay the gist of such conditions. We have also developed the concept of pathway activation profile which is, for a given stimulus, the sequence of activated proteins at each tier of the cascade, at steady state. Such sequences correspond to pieces of orbits of a two-dimensional discrete dynamical system. From the study of the possible phase portraits, as a function of the biochemical parameters, we focused on the contraction/expansion properties around the fixed points of this discrete map, and their bifurcations. We have deduced a classification of the cascade tiers into three main types, whose biological impact within a signaling network has been examined. This method also provided global insights about the interplay between forward and retroactive signaling, and how signal is amplified along the cascade activation profil

Signaling cascades transmit information downstream and upstream but unlikely simultaneously

Background: Signal transduction is the process through which cells communicate with the external environment, interpret stimuli and respond to them. This mechanism is controlled by signaling cascades, which play the role of intracellular transmitter, being able to transmit biochemical information between cell membrane and nucleus. In theory as well as in practice, it has been shown that a perturbation can propagate upstream (and not only downstream) a cascade, by a mechanism known as retroactivity. This study aims to compare the conditions on biochemical parameters which favor one or the other direction of signaling in such a cascade. Results: From a mathematical point of view, we show that the steady states of a cascade of arbitrary length n are described by an iterative map of second order, meaning that the cascade tiers are actually coupled three-by-three. We study the influence of the biochemical parameters in the control of the direction of transmission - upstream and/or downstream - along a signaling cascade. A numerical and statistical approach, based on the random scan of parameters describing a 3-tier signaling cascade, provides complementary findings to the analytical study. In particular, computing the likelihood of parameters with respect to various signaling regimes, we identify conditions on biochemical parameters which enhance a specific direction of propagation corresponding to forward or retro-signaling regimes. A compact graphical representation is designed to relay the gist of these conditions. Conclusions: The values of biochemical parameters such as kinetic rates, Michaelis-Menten constants, total concentrations of kinases and of phosphatases, determine the propensity of a cascade to favor or impede downstream or upstream signal transmission. We found that generally there is an opposition between parameter sets favoring forward and retro-signaling regimes. Therefore, on one hand our study supports the idea that in most cases, retroactive effects can be neglected when a cascade which is efficient in forward signaling, is perturbed by an external ligand inhibiting the activation at some tier of the cascade. This result is relevant for therapeutic methodologies based on kinase inhibition. On the other hand, our study highlights a less-known part of the parameter space where, although the forward signaling is inefficient, the cascade can interestingly act as a retro-signaling device.Fil: Catozzi, Simona. Université Côte d’Azur; FranciaFil: Di Bella, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Fisiología, Biología Molecular y Neurociencias. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Fisiología, Biología Molecular y Neurociencias; ArgentinaFil: Ventura, Alejandra. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Fisiología, Biología Molecular y Neurociencias. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Fisiología, Biología Molecular y Neurociencias; ArgentinaFil: Sepulchre, Jacques Alexandre. Université Côte d’Azur; Franci

Analysis of Ras-effector interaction competition in large intestine and colorectal cancer context

Cancer is the second leading cause of death globally, and colorectal cancer (CRC) is among the five most common cancers. The small GTPase KRAS is an oncogene that is mutated in ~30% of all CRCs. Pharmacological treatments of CRC are currently unsatisfactory, but much hope rests on network-centric approaches to drug development and cancer treatment. These approaches, however, require a better understanding of how networks downstream of Ras oncoproteins are connected in a particular tissue context–here colon and CRC. Previously we have shown that competition for binding to a ‘hub’ protein, such as Ras, can induce a rewiring of signal transduction networks. In this study, we analysed 56 established and predicted effectors that contain a structural domain with the potential ability to bind to Ras oncoproteins and their link to pathways coordinating intestinal homoeostasis and barrier function. Using protein concentrations in colon tissue and Ras-effector binding affinities, a computational network model was generated that predicted how effectors differentially and competitively bind to Ras in colon context. The model also predicted both qualitative and quantitative changes in Ras-effector complex formations with increased levels of active Ras–to simulate its upregulation in cancer–simply as an emergent property of competition for the same binding interface on the surface of Ras. We also considered how the number of Ras-effector complexes at the membrane can be increased by additional domains present in some effectors that are recruited to the membrane in response to specific conditions (inputs/stimuli/growth factors) in colon context and CRC.Science Foundation Irelan

Reconstruction and analysis of a large-scale binary Ras-effector signaling network

Background: Ras is a key cellular signaling hub that controls numerous cell fates via multiple downstream effector pathways. While pathways downstream of effectors such as Raf, PI3K and RalGDS are extensively described in the literature, how other effectors signal downstream of Ras is often still enigmatic. Methods: A comprehensive and unbiased Ras-effector network was reconstructed downstream of 43 effector proteins (converging onto 12 effector classes) using public pathway and protein-protein interaction (PPI) databases. The output is an oriented graph of pairwise interactions defining a 3-layer signaling network downstream of Ras. The 2290 proteins comprising the network were studied for their implication in signaling crosstalk and feedbacks, their subcellular localizations, and their cellular functions. Results: The final Ras-effector network consists of 2290 proteins that are connected via 19,080 binary PPIs, increasingly distributed across the downstream layers, with 441 PPIs in layer 1, 1660 in layer 2, and 16,979 in layer 3. We identified a high level of crosstalk among proteins of the 12 effector classes. A class-specific Ras sub-network was generated in CellDesigner (.xml file) and a functional enrichment analysis thereof shows that 58% of the processes have previously been associated to a respective effector pathway, with the remaining providing insights into novel and unexplored functions of specific effector pathways. Conclusions: Our large-scale and cell general Ras-effector network is a crucial steppingstone towards defining the network boundaries. It constitutes a 'reference interactome' and can be contextualized for specific conditions, e.g. different cell types or biopsy material obtained from cancer patients. Further, it can serve as a basis for elucidating systems properties, such as input-output relationships, crosstalk, and pathway redundancy. Video Abstract

Additional file 6 of Signaling cascades transmit information downstream and upstream but unlikely simultaneously

Infinite drug and infinite stimulus limits. (PDF 77.9 kb

Additional file 1 of Signaling cascades transmit information downstream and upstream but unlikely simultaneously

The inverse iterative map. (PDF 88.9 kb

Additional file 2 of Signaling cascades transmit information downstream and upstream but unlikely simultaneously

Likelihood curves and maxima. (PDF 483 kb

Additional file 4 of Signaling cascades transmit information downstream and upstream but unlikely simultaneously

Threshold robustness. (PDF 249 kb