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Apr 10, 2026·International Journal of AI Electronics and Nexus Energy
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Exploring New Drug Uses through Hybrid Learning and BlockchainSupported Data Validation

M. Ganesh, Gaddam Richitha, B Sai Jagadeesh Goud, Gannarapu Ramani · 5 authors

Drug repurposing has gained significant attention as an efficient strategy for identifying new therapeutic applications of existing drugs, thereby reducing both development time and cost compared to traditional drug discovery processes. Current drug discovery approaches rely on experimental procedures, expert analysis, and extensive clinical trials, which are time-intensive and computationally inefficient when handling large-scale biomedical data. These methods often struggle to process complex and highdimensional datasets, resulting in slower analysis and limited predictive capability. Additionally, these systems lack robust mechanisms for secure data management, making clinical records and trial discussions susceptible to inconsistencies and unauthorized modifications. To overcome these limitations, this work proposes an intelligent drug repurposing framework that integrates Machine Learning (ML), Deep Learning (DL), and blockchain technologies. The system utilizes baseline models such as K-Nearest Neighbors (KNN) and Gaussian Naive Bayes (GNB) for comparative analysis, along with a hybrid DrugNet model that combines Convolutional Neural Networks (CNN) for feature extraction and Random Forest (RF) for classification. This hybrid approach enhances the ability to capture complex patterns in drug-related data and improves prediction accuracy. Furthermore, blockchain integration using Web3 ensures secure storage of user data, clinical interactions, and trial information, providing transparency, immutability, and data integrity. The proposed framework enables automated prediction of potential drug–disease associations through a unified processing pipeline, supporting real-time analysis and decision-making. By combining advanced Artificial Intelligence (AI) techniques with decentralized data management, the system improves scalability, reliability, and efficiency in drug repurposing. This approach offers a practical and secure solution for accelerating pharmaceutical research and supporting data-driven medical innovation

Open access
Computational Drug Discovery Methods
Machine Learning in Healthcare
Big Data and Digital Economy
Original source
Nov 24, 2025·Advances in Engineering Technology Research
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Blockchain-Based Pharmacovigilance Framework: Enhancing Drug Safety Through Distributed Ledger Technology

Jiaxuan Wei, Yue Cai, Jiaying Tao

The study proposes a blockchain-based framework to overcome the challenges of data silos, privacy risks, and interoperability limitations in pharmacovigilance systems, focusing on the refinement of adverse drug reaction (ADR) data collection, storage, and analysis. Incorporating blockchain's transparency, immutability, and security, the framework comprises four core components: a data collection layer for multi-source ADR reporting, a standardization layer for data integration and validation, a blockchain network layer for tamper-proof storage and secure sharing, and a data analysis layer for real-time risk detection and visualization. The framework's efficacy in drug safety monitoring and regulatory efficiency is exemplified by the MediLedger and Merck's SAP Pharma Blockchain Proof of Concept case studies. The proposed resolution shows remarkable potential for advancing global pharmacovigilance practices.

Open access
Pharmacovigilance and Adverse Drug Reactions
Blockchain Technology Applications and Security
Computational Drug Discovery Methods
Original source
May 12, 2025·Comptes Rendus Chimie
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Beyond boundaries: unveiling the art of blockchain-enshrined molecules through xSublimatio

Noémie Gouspillou, Camille Vandromme, Nathalie Stefanov, Clémence Simon · 9 authors

In 2023, the xSublimatio project showcased a fusion of art and science, presenting an interactive platform where molecules were transformed into digital artworks within the blockchain. This innovative concept leveraged advanced artificial intelligence predictions to bridge empirical precision with creative expression, offering a unique exploration of scientific data through artistic interpretation. The creation of xSublimatio involved meticulous selection and representation of molecules, blending scientific accuracy with aesthetic appeal. Through AlphaFold-inspired insights, the project reimagined molecular design, transcending traditional boundaries. During its presentation at the GDR ChemBio conference in Strasbourg, xSublimatio sparked insightful discussions within the French chemistry community. This article explores its technical implementation, its potential for introducing blockchain and non-fungible token concepts to diverse communities, and its broader implications for interdisciplinary collaboration and decentralized science.

Open access
Computational Drug Discovery Methods
Machine Learning in Materials Science
Original source
Jan 1, 2025·IFAC-PapersOnLine 59(34):36-41, 2025
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ToxiEval-ZKP: A Structure-Private Verification Framework for Molecular Toxicity Repair Tasks

Lin Fei, T Zhang, Ziyang Gong, Fei–Yue Wang

In recent years, generative artificial intelligence (GenAI) has demonstrated remarkable capabilities in high-stakes domains such as molecular science. However, challenges related to the verifiability and structural privacy of its outputs remain largely unresolved. This paper focuses on the task of molecular toxicity repair. It proposes a structure-private verification framework—ToxiEval-ZKP—which, for the first time, introduces zero-knowledge proof (ZKP) mechanisms into the evaluation process of this task. The system enables model developers to demonstrate to external verifiers that the generated molecules meet multidimensional toxicity repair criteria, without revealing the molecular structures themselves. To this end, we design a general-purpose circuit compatible with both classification and regression tasks, incorporating evaluation logic, Poseidon-based commitment hashing, and a nullifier-based replay prevention mechanism to build a complete end-to-end ZK verification system. Experimental results demonstrate that ToxiEval-ZKP facilitates adequate validation under complete structural invisibility, offering strong circuit efficiency, security, and adaptability, thereby opening up a novel paradigm for trustworthy evaluation in generative scientific tasks. The code is available at: https://github.com/DeepYoke/ToxiEval-ZKP .

Open access
3 source records
cs.CR
Computational Drug Discovery Methods
Machine Learning in Materials Science
Original source
Jan 1, 2025·Irish Interdisciplinary Journal of Science & Research
0 cites
Blockchain-Enabled Federated Learning Framework for Secure and Collaborative Drug Discovery: Integrating AI, Molecular Docking, and Distributed Ledger Technology

Mohamed Alshalaan, Nayyar Ahmed Khan

Drug discovery faces critical challenges including data silos, intellectual property concerns, computational bottlenecks, and reproducibility issues that significantly impede the development of novel therapeutics. This research proposes a novel Blockchain-enabled Federated Learning Framework for Drug Discovery (BFLD) that integrates distributed ledger technology, federated machine learning, and molecular docking simulations to create a secure, transparent, and collaborative ecosystem for pharmaceutical research. Our framework addresses key limitations in traditional drug discovery pipelines by enabling multi-institutional collaboration without compromising proprietary data, ensuring immutable audit trails for compound screening results, and accelerating hit-to-lead optimization through decentralized computing. We evaluate BFLD using datasets from 12 pharmaceutical research institutions, encompassing 2.4 million molecular compounds and 847 protein targets. Results demonstrate a 68% reduction in lead compound identification time, 91% improvement in data provenance tracking, and 94% stakeholder confidence in intellectual property protection. The framework achieves 89.7% accuracy in toxicity prediction through federated learning models while maintaining complete data privacy. Smart contracts automate licensing agreements and ensure equitable attribution of discoveries across participating institutions. This research establishes a paradigm shift toward decentralized, trustless pharmaceutical innovation aligned with open science principles while protecting commercial interests.

Open access
Blockchain Technology Applications and Security
Computational Drug Discovery Methods
Scientific Computing and Data Management
Original source
Dec 6, 2017·Journal of Chemical Theory and Computation
50 cites
Machine Learning of Dynamic Electron Correlation Energies from Topological Atoms

James L. McDonagh, Arnaldo F. Silva, Mark A. Vincent, Paul L. A. Popelier

High Resolution Image Download MS PowerPoint Slide We present an innovative method for predicting the dynamic electron correlation energy of an atom or a bond in a molecule utilizing topological atoms. Our approach uses the machine learning method Kriging (Gaussian Process Regression with a non-zero mean function) to predict these dynamic electron correlation energy contributions. The true energy values are calculated by partitioning the MP2 two-particle density-matrix via the Interacting Quantum Atoms (IQA) procedure. To our knowledge, this is the first time such energies have been predicted by a machine learning technique. We present here three important proof-of-concept cases: the water monomer, the water dimer, and the van der Waals complex H 2 ···He. These cases represent the final step toward the design of a full IQA potential for molecular simulation. This final piece will enable us to consider situations in which dispersion is the dominant intermolecular interaction. The results from these examples suggest a new method by which dispersion potentials for molecular simulation can be generated.

Open access
Machine Learning in Materials Science
Computational Drug Discovery Methods
Protein Structure and Dynamics
Original source
Jun 1, 2000·Anesthesiology
355 cites
Response Surface Model for Anesthetic Drug Interactions

Charles F. Minto, Thomas W. Schnider, Timothy G. Short, Keith M. Gregg · 6 authors

Click on the links below to access all the ArticlePlus for this article.Please note that ArticlePlus files may launch a viewer application outside of your web browser.DRUG interactions are the basis of anesthetic practice. For example, induction of anesthesia may consist of intravenous administration of a benzodiazepine before induction, a hypnotic to achieve loss of consciousness, and an opioid to blunt the response to noxious stimulation. Similarly, anesthesia often is maintained with a combination of a hypnotic (e.g. , propofol, isoflurane) and an analgesic (e.g. , fentanyl, nitrous oxide). Anesthetic drugs are often combined because they interact synergistically to create the anesthetized state.Pharmacodynamic drug interactions are typically described using mathematical models. The basic model is that of an isobole. Isoboles are iso-effect curves, curves that show dose combinations that result in equal effect. 1The combination of two doses (d1and d2) can be represented by a point on a graph, the axes of which are the dose axes of the individual drugs (fig. 1). The isobole connects isoeffective doses of the two drugs when administered alone, D1and D2. If the isobole is straight (fig. 1A), then the relation is additive. If the isobole bows toward the origin (fig. 1B), then smaller amounts of both drugs are needed to produce the drug effect when administered together, so the relation is supraadditive or synergistic. If the isobole bows away from the origin (fig. 1C), then greater amounts of both drugs are needed to produce the drug effect when administered together, so the relation is infraadditive. In table 1we propose a set of criteria that pharmacodynamic models of drug interactions should meet. In this article we propose an interaction model that meets these criteria, based on response-surface methodology. Response surfaces are a powerful statistical methodology for estimating and interpreting the response of a dependent variable to multiple inputs. 2Response-surface methodology is used for two principal purposes; to provide a description of the response pattern in the region of the observations studied and to assist in finding the region in which the optimal response occurs. Our model is a straightforward extension of the sigmoidal concentration–response relation for individual drugs. We test the proposed model using data from a study of the interaction of midazolam, propofol, and alfentanil with loss of consciousness. 3This article only considers pharmacodynamic interactions, the type of interaction most relevant to the practice of anesthesia. Pharmacokinetic interactions are entirely different and will not be considered. Appendix 1 (which can be found on the Anesthesiology Web site at www.anesthesiology.com) reviews several commonly used pharmacodynamic models of drug interactions and shows areas in which existing models fail to meet the criteria in table 1.The effects of individual drugs are often modeled by relating drug effect (E) to drug concentration (C) using a sigmoid model:where E0is the baseline effect when no drug is present, Emaxis the peak drug effect, C50is the concentration associated with 50% drug effect, and γ is a “sigmoidicity factor” that determines the steepness of the relation.This relation is shown graphically in figure 2. The concentration term often is defined as the concentration at the site of drug effect, but the model can be generalized to any measure of exposure (e.g. , dose, plasma concentration, or area under the curve). For models of probability, such as the probability of moving in response to surgical incision, E0is 0 and Emaxis the maximal probability (usually assumed to be 1). Dividing the numerator and denominator of equation 1by C50γ, we obtain an alternate form:In this model, concentration has been normalized to the concentration that results in 50% of maximal drug effect. This is a natural way to think about drug concentration—as a fraction of some measure of potency. For example, anesthesiologists are accustomed to thinking about volatile anesthetics in terms of minimum alveolar concentration (MAC), rather than in absolute concentration terms. This is precisely the concept of normalizing drug concentration to potency.The basic concept of our proposed interaction model is simple. Consider two drugs, each of which has a sigmoidal concentration–response relation. We will think of any given ratio (i.e. , B/(A + B), called θ herein) of the two drugs as behaving as a new drug. This new drug, which is actually a fixed ratio of the two drugs, has its own sigmoidal concentration–response relation, as shown in figure 3. This is the basic premise of our interaction model. The mathematics are simply an extension of the model for a single drug to a model that considers each ratio of two drugs as a drug in its own right. We will express the concentrations of drugs A and B as [A] and [B]. As suggested by equation 2, we must first normalize each drug to its potency, C50, and express the results in units (U) of potency. where UAis the normalized concentration of drug A, and UBis the normalized concentration of drug B. We can define a family of “drugs,” each being a unique ratio of UAand UB. Each drug will be defined in terms of θ, where θ is defined as By definition, θ ranges from 0 (drug A only) to 1 (drug B only). The “drug concentration” is simply UA+ UB. We can extend equation 2to describe the concentration–response relation for any ratio, θ, of the two drugs in combination:where θ is the ratio of the two drugs, the drug concentration is UA+ UB, γ(θ) is the steepness of the concentration–response relation at ratio θ, U50(θ) is the number of units (U) associated with 50% of maximum effect at ratio θ, and Emax(θ) is the maximum possible drug effect at ratio θ. Because Emax, C50, and γ in equation 2have been replaced by functions of θ, each ratio has the potential to have its own Emax, C50, and γ. This allows each ratio of drug A and drug B to behave as its own drug, with its own sigmoidal concentration–response relation, which is the basic premise of the model.The term “U50(θ)” is the potency of the drug combination at ratio θ relative to the normalized potency of each drug by itself. This requires careful explanation. Let us assume that only drug A is present, in a concentration of C50,A. In this case, the drug effect is half of the maximal effect, UA= 1, UB= 0, θ= 0, and the drug concentration is UA+ UB= 1. Because we have 50% of the maximum drug effect, and 1 unit of drug, then the number of units associated with 50% drug effect when only drug A is present, U50(0), must be 1. Similarly, let us assume that only drug B is present and the concentration of drug B is C50,B. In this case, the drug effect is half of the maximal effect, UA= 0, UB= 1, θ= 1, and the drug concentration is UA+ UB= 1. Because we have 50% of the maximum drug effect, and 1 unit of drug, then the number of units associated with 50% drug effect when only drug B is present, U50(1), must again be 1. By definition, if only drug A or drug B is present, U50(θ) = 1.Now, let us assume that drug A and drug B both are present, each in exactly half of the concentration that would cause 50% of the drug effect when administered alone. In this case, UA= 0.5, UB= 0.5, θ= 0.5, and the drug concentration is UA+ UB= 1. If this causes 50% of maximum effect, then the drugs are simply additive at θ= 0.5, and U50(0.5) = 1. However, if this combination produces more than a half-maximal effect, then 1 unit of this combination, at θ= 0.5, is more potent than 1 unit of either drug alone (i.e. , synergistic). In this case, U50(0.5) < 1. Conversely, if this combination produces less than a half-maximal effect, then 1 unit of this combination, at θ= 0.5, is less potent than either drug alone (i.e. , infraadditive). In this case, U50(0.5) > 1. Thus, U50(θ) is the potency of the combination compared with the potency of either drug alone, which is 1 by definition.Thus, the units of U50(θ) are not concentration units, but rather the number of units, at ratio θ, associated with 50% of maximal drug effect. U50(θ) is 1 for θ= 0 and θ= 1. For all values of θ between 0 and 1 (i.e. , all possible ratios of the two drugs), U50(θ) assumes a value determined by the data. If this value is 1, then the interaction is additive at θ. If the value is less than 1, then the drug effect is synergistic at θ. If the value is greater than 1, then the interaction is antagonistic at θ.Figure 4shows the relation between a three-dimensional response surface and a conventional two-dimensional isobolographic analysis. The two-dimensional isobologram is a cut through the three-dimensional surface, generally taken at the 50% response level. In this particular example, synergy is evident in the three-dimensional model as a bowing of the surface toward the reader. This bowing causes the conventional isobologram to deviate toward the origin from the straight line of additivity. Much pharmacodynamic literature supports the sigmoid relation in equation 1, equation 2, and equation 5. There is only modest information specifying the functions Emax(θ), U50(θ), and γ(θ). Our choice is to use functions that are capable of taking a variety of shapes, so that good approximations to the true relations can be determined empirically. To provide these flexible functions we chose fourth-order polynomials of the form where f(θ) is Emax(θ), U50(θ), or γ(θ). The coefficients (β0, β1, β2, β3, β4) are model parameters that are either constrained by the model or estimated from the data. Fortunately, two of these terms, β0and β1, can be replaced by other terms already defined.We already defined the values Emax(θ), U50(θ), and γ(θ) when only drug A is present, Emax,A, U50,A, and γA, respectively. Note in equation 6that when θ= 0 (only drug A is present), f(0) =β0. Therefore, when f(θ) is Emax(θ), U50(θ), or γ(θ), β0must be Emax,A, U50,A, and γA, respectively.Similarly, we also defined the values Emax(θ), U50(θ), and γ(θ) when only drug B is present, Emax,B, U50,B, and γB, respectively. Referring again to equation 6, when θ= 1 (only drug B is present), f(1) =β0+β1+β2+β3+β4. We can rearrange this as β1= f(1) −β0−β2−β3−β4. Thus, when f(θ) is Emax(θ), U50(θ), or γ(θ), β1must be Emax,B− Emax,A−β2,Emax−β3,Emax−β4,Emax, U50,B− U50,A−β2, U50−β3,U50−β4,U50, or γB−γA−β2,γ−β4,γ, respectively.This permits us to develop models that incorporate the individual drug parameters for Emax(θ), U50(θ), and γ(θ) as functions of θ. The equation for Emax(θ), using the substitutions previously mentioned for β0and β1, is U50,Aand U50,B, [equivalent to U50(θ) and U50(1)], are both 1 by definition. Thus, when f(θ) = U50(θ), the values of β0and β1in equation 6are 1 and −β2−β3−β4, respectively. Therefore, the equation for potency as a function of θ can be simplified to Many isobolograms have a simple inward or outward curvature, which can be readily encompassed with a simple quadratic form of equation 8with just one coefficient:If β2,U50is 0, then the value of U50(θ) will be 1 for all values of θ. This means that the interaction will be additive. If β2,U50is a positive number, then U50(θ) will be less than 1 for all values of θ between 0 and 1. The effect is to magnify the term in equation 5, making it appear that there is more drug present. This will produce a greater than additive effect, i.e. , synergy. If β2,U50is a negative number, then U50(θ) will be greater than 1 for all values of θ between 0 and 1. This reduces the term in equation 5, making it appear that there is less drug present. This will produce a less than additive effect. This assumes that drugs A and B have the same maximal effect. It is possible for some approaches to synergy analysis to show apparent synergy if the maximal effects of drugs A and B are not identical, even if U50(θ) = 1 for all values of θ.The model for the steepness term, γ(θ), can similarly be described from equation 6, with appropriate substitutions for β0and β1. The resulting equation is Equations 6–10describe straight lines (simple additivity) when the coefficients (i.e. , β2, β3, β4) are 0. They are the equations for parabolas if the respective β2coefficient is nonzero, and β3and β4are 0. More complex shapes are generated when β3and β4are nonzero.Figure 5shows Emax, U50, and γ as functions of θ for the synergistic interaction seen in figure 4. Emaxand γ are constant, and thus have no interaction. U50is necessarily 1 at θ= 0 and θ= 1, but is less than one between these extremes. This increases the potency of the drugs when administered in combination, resulting in the synergy seen in figure 4. The model can be readily expanded to show the interaction of more than two drugs. In the case of three drugs (A, B, and C) the proportion of each drug present can be expressed by θA, θB, and θC, where We can define the ratio of three drugs from just two of these ratios because θA+θB+θC=1. For our purposes here, we will use θBand θC. We again assume that for any fixed value of θBand θC, there is a sigmoidal relation between concentration and response. Therefore, if the three drugs could be administered to the effect site in an exactly fixed proportion, they would show a sigmoidal total concentration–response relation, where the “concentration” was the sum of the three normalized concentrations. This is precisely the notion that underlies the two-drug model. The equation for the model the model the parameters of the sigmoidal relation, Emax, and U50, are functions of θBand θC. The functions and are described in Appendix (which can be found on the Anesthesiology Web site at The point is that of a as in equations when three drugs are present, the parameters of the sigmoidal relation are surfaces for functions of θBand θC. The response-surface model was in the by the and as a for for also the model for of at 3This is on to the using and for the use of our response-surface model, we data previously by data are also the Anesthesiology Web site relations intravenous doses of midazolam, propofol, and alfentanil administered and in combination in for as to the to administration and or alfentanil to peak effect an intravenous the combination being midazolam, it was administered before the other drugs. The doses of midazolam, propofol, and alfentanil used and the proportion of for each dose are shown in table 2. This data set was because it three two-drug combinations that could be used to In the data are for the number of and the of the it the to a interaction model, the of the proposed response-surface model. We assumed in the model that all when no drug was 0 by definition. In we assumed that each drug was capable of if administered in a a of equation and can be constrained to 0 and 1 with no interaction the Thus, the probability of for any combination is where UB, and the doses of midazolam, propofol, and respectively. The units are of each dose to cause in 50% of the based on equation the data for the single and combination of and the data for the single and combination of and alfentanil the data for the single and combination of and alfentanil and the data set for the and combinations modeled parameters and estimated using by the for all the response of the either 0 to or 1 to and is the probability of response to for each dose be expressed in as the sum of the natural of the of response in the and in the The of the coefficients to the model was by the coefficients one at a by the model ratio and by of probability of for each dose and The response surfaces for the interactions and the surface was used to the synergistic combinations of the and the interactions based on the from the analysis of the data The intravenous doses to achieve probability of in this for each drug alone, for each combination, and for the To the application of the response-surface model with the parameters of , , and used to the for midazolam, propofol, and respectively. This was as the concentration at the of the respective then used to the of effect of in the these synergistic doses of midazolam, propofol, and administered alone and in The the and the from in of the to in of the The of effect was using for for by and shapes of the response surfaces generated by the equations are not readily We used three-dimensional to the response surface for a variety of interactions between two drugs, by the model parameters of equation 5. interactions and antagonistic interactions between two and interactions between and to the data for all in the in to the used by , the of the data for and for the analysis of the three drug interactions are shown in table 3. and for the analysis of the data set are shown in table 4. There no in the of the three drugs, there drug interactions the The for each drug to be the of the combination being modeled and This is an Because the data for single administration was in the interaction the entirely determined from each drug alone. the response surfaces for each of the drug interactions synergy. The synergy in the model was not Appendix on the Anesthesiology Web site at This when all three drugs are present, there is not synergy that from the interactions of all three drugs. The surface is shown in figure The maximum in values for the combinations are represented by the of the three of the as a = = = The maximum in for the combination is found at the point of the surface, which is at and This in figure and where the point as a on the 5shows the doses for the and combinations for maximum synergy associated with probability of a of based on the parameters shown in figure The between probability of to probability of no for each combination was based on the shown in figure the synergistic combination administration of one the dose, this results in a in the for to alone is the drug of choice when the point is a of A of the and of other such as and is to the drug combinations for other our response-surface model for an additive interaction a synergistic interaction and an interaction It also shows the interaction between a and a a and a and a and an way to describe our model for two drugs, A and B, is that the drug A and the drug B there are two sigmoid 1). Our proposed model connects these two sigmoid curves functions of θ interactions are then as coefficients of the polynomials that the to each each value of θ can have its own Emax, C50, and the model assumes that the sigmoidal is for all values of θ. This concept of a fixed ratio of two drugs own is not each drug ratio to be to a single response could be described by a single two-dimensional concentration–response that when using combinations of combination should be as a new with individual rather than the of the individual use of functions to the parameters of drug A to drug B assumes that the response surface is and the basic model the parameters estimated in sigmoid the polynomials that U50(θ), Emax(θ), and γ(θ) are more The use of response functions to complex response surfaces is in However, models with the variable present at than the are not often used because it to the proposed a flexible model. of the response surface, or application of the could result in of parameters that provide a but when more an for the are not unique to this model and can be by the one is in the terms can be from the model. The statistical of the terms should be the models using the ratio In to of model such as of and the pattern of the model should also be by the response surface, and by the individual model parameters as functions of θ (e.g. , equations to that the pharmacodynamic parameters not to For it must be that U50(θ) and γ(θ) are positive in the of 0 1. In the case of three drugs, the surface should be as shown in figure a mathematical that if and only if the isobolograms are straight For this to be be with to θ. The case of γ(θ) is more is with to θ, there is if Emax(θ) and U50(θ) are also not equal to γB, there is no way to use our interaction model to test for defined by 1). we with of the surface, the description of an interaction as or antagonistic may be For example, a drug combination can be synergistic in and antagonistic in our the on drug interactions can be to simple such as or the The interaction has the potential to be and than about which to the relation, the should be to the response the surface one can the combination to produce the model is It no about the of interaction between the drugs. However, we assume that the concentration–response relation for each of the drugs is described by a pharmacodynamic model. We have not to describe interactions between drugs that and that we are not of any that our could not be combined with the more of model for each drug not have to be the sigmoid 1). For example, the model could be a or response The model could also be a response as seen with some the model can be any so as it has parameters that the individual models. Thus, the only is that the interaction model reduces to the model for drug A when θ= 0 and to the model for drug B when θ= the of response-surface can For example, the of effects the of data in a to the model parameters for one of the drugs. to specifying a administered function for the concentration–response relation is to use a as described by the use of flexible functions that are to example, a can be constrained to an they in the of antagonistic interactions, it can be to model additive and synergistic drug used our response-surface model to the drug interactions for the hypnotic point between midazolam, propofol, and on this a maximum effect of for all three drugs described the data the dose of and alfentanil the response to in of the dose of the response to in only of results not that alfentanil will or in response to a surgical they that doses of will response to in of the of our response-surface model to potential interactions of two or three drugs at the effect site We that these concentrations are based on information parameters and not possible interactions between the three drugs. this we to that the synergistic dose ratio is not necessarily if a hypnotic effect is the the three-dimensional may in and different used to study drug interactions, it not information that be by a of two-dimensional such as the isobologram of the response surface, of three-dimensional the response to concentration of one drug in the of fixed concentration of the other drug to one and the response to fixed concentration ratios of the two any of these a three-dimensional of the response surface can be if are In the case of three drugs, it is no possible to the response surface because it is a surface, the model parameters can be in three (fig. of using axes to be in the of the interactions between three or more drugs. the study of drug interactions in anesthesia has used isobolographic analysis or multiple approaches have In the multiple is so with described in Appendix 1 in the web with pharmacodynamic that it should be The application of response-surface methodology to the study of drug interactions has the potential to the of these models. We proposed a flexible model for drug interactions, which the relation between the concentrations of two or three drugs and drug effect. We our new model using previously data and that this model can also describe of interaction between an a a and an of response-surface methodology permits of the concentration–response relation and can be used to develop for optimal drug

Open access
Anesthesia and Sedative Agents
Treatment of Major Depression
Computational Drug Discovery Methods
Original source