Abstract
Making drug development a more efficient and cost-effective process will have a transformative effect on human health. A key, yet underutilized, tool to aid in this transformation is mechanistic computational modeling. By incorporating decades of hard-won prior knowledge of molecular interactions, cellular signaling, and cellular behavior, mechanistic models can achieve a level of predictiveness that is not feasible using solely empirical characterization of drug pharmacodynamics. These models can integrate diverse types of data from cell culture and animal experiments, including high-throughput systems biology experiments, and translate the results into the context of human disease. This provides a framework for identification of new drug targets, measurable biomarkers for drug action in target tissues, and patient populations for which a drug is likely to be effective or ineffective. Additionally, mechanistic models are valuable in virtual screening of new therapeutic strategies, such as gene or cell therapy and tissue regeneration, identifying the key requirements for these approaches to succeed in a heterogeneous patient population. These capabilities, which are distinct from and complementary to those of existing drug development strategies, demonstrate the opportunity to improve success rates in the drug development pipeline through the use of mechanistic computational models.
Keywords: Mechanistic computational model, systems pharmacology, drug development, pharmacokinetics, pharmacodynamics
Graphical Abstract
Current Strategies for Drug Development
It is well established that traditional drug development is a long and increasingly costly process, due in large part to high attrition of drugs throughout the development pipeline [1, 2]. As of 2010, the estimated cost to develop a single new molecular entity (novel active ingredient) was $1.8 billion dollars [3]. In addition, only about 5–6 mechanistically innovative (first-in-class) drugs are approved in the US per year [3, 4]. The most common reasons for drug failure, particularly in Phase 2 trials, are lack of efficacy and toxicity due to off-target drug effects, which were not apparent in cellular and animal systems [5–7]. A better understanding of potential drug targets and mechanisms of action promises to aid in earlier identification of ineffective drugs, or drugs with unsafe off-target effects, as well as to inform the necessary properties (e.g. precise targets and binding affinities) for more effective compounds.
Traditionally, drug efficacy and safety are assayed by characterizing the pharmacokinetics (PK) and pharmacodynamics (PD) of the drug. PK describes what the body does to a drug (e.g. drug absorption, clearance, and distribution throughout the body), while PD characterizes what a drug does to the body (i.e. drug action in target tissue). Drug PK and PD are typically estimated using a combination of cell culture and animal models, along with human data for similar, previously-developed drugs. This empirical PK and PD characterization allows drug developers to estimate drug half-life in the body and uptake within tissues. Computational models incorporating both PK and PD (PK/PD models) are used to simulate drug distribution in the body, predicting the time delay from administration to drug action in the target tissue, and potential issues such as drug accumulation leading to toxicity. As such, these simulations have the potential to aid in establishing safety margins [8]. While PK/PD work is a critical component of drug development, traditional PK/PD studies do not identify the most effective targets for new drugs, or account for complex biological compensation mechanisms. This lack of predictiveness is a result of the data-driven nature of these studies, which makes extrapolation to other dosing ranges or to related drugs, as well as prediction of patient-specific responses, difficult. The missing piece is a detailed understanding of the molecular mechanisms of action underlying pharmacodynamic responses. Mechanistic models (Box 1) can incorporate this understanding into PK/PD models.
Box 1. What is a mechanistic computational model?
A mechanistic computational model simulates interactions between the key molecular entities (e.g. proteins, ATP, RNA), and the processes they undergo (e.g. expression, subcellular trafficking, degradation, phosphorylation, deactivation), explicitly by solving a set of mathematical equations that represent the underlying chemical reactions (e.g. [A]+[B]⇄[A·B]). The key distinguishing feature of a mechanistic model is incorporation of detail based on prior knowledge of the regulatory network, as opposed to inferring interactions using a data-driven approach.
The sequencing of the human genome brought hope that newly identified genetic components of health and disease would clearly guide advances in therapies for a wide variety of conditions. While bioinformatics approaches have identified new therapeutic targets for some diseases, in many cases there is no clear disease-associated genetic signature that is consistent across patients. Even when a disease-related molecule is identified, it does not necessarily represent an effective drug target; thus far, target-based screening has not been more effective than traditional phenotypic drug screening [9]. As such, many researchers interested in drug development have turned to systems biology, which combines high-throughput experiments and mechanistic computational modeling to better understand the interactions of the molecules that regulate cell behavior.
Systems biology approaches have deepened our understanding of the pathways involved in cellular survival & behavior, and how cellular signaling changes in disease [10]. One particularly valuable benefit of mechanistic computational models is their ability to incorporate the specifics of different experimental protocols (e.g. drug/ligand concentration, measurement time, cell line), allowing for reconciliation of apparent discrepancies in experimental results from different groups, protocols, or cell types. Along with deriving more insight from experimental results, these models can be used to design the next sets of experiments, in order to answer key unsolved questions. A second key strength of mechanistic computational models is the ability to examine the sensitivity of individual signaling pathway components to perturbation (e.g. change in receptor expression or ligand concentration). Proteins to which the model is highly sensitive likely represent key nodes and promising drug targets. Despite these advantages, translation of systems biology into the context of the human body for use in the drug development pipeline has been limited [5, 11], due in part to the prevalence of empirical PK/PD modeling in industry, while mechanistic computational modeling occurs primarily in academic research laboratories (with some notable exceptions).
The emerging field of systems pharmacology aims to bridge systems biology and PK/PD modeling, translating the mechanistic insight emerging from systems biology into a therapeutically relevant context [12, 13]. To do this, mechanistic models (Box 1) are used to describe the pharmacodynamics in quantitative detail, and are integrated with drug pharmacokinetics in a PK/PD model. Several excellent examples of systems pharmacology models incorporating mechanistic intracellular signaling detail have been published in recent years [12, 14, 15]. However, such models remain the minority; it is more common for drug pharmacodynamics to be represented by empirical drug-tissue binding curves (e.g. Hill equation) [16, 17]. While useful, such data-driven binding curves have limited ability to reliably extrapolate to other species, to humans with different genetics and body mass, to related drugs, to combination therapies, or even to different dosing schedules and administration routes for the same drug [11]. One reason for a semi-mechanistic representation of PD in many models to date is a lack of sufficient mechanistic information available from experiments. While this is a challenge, the amount of useful information increases quickly, e.g. due to high-throughput experiments using new molecular imaging and gene expression measurement techniques [18–20]. Additionally, because computational models can integrate diverse data types into a single framework, data from experiments designed for very different purposes, or obtained from different groups using different protocols, can be leveraged [21]. For example, in our PK/PD models, the geometric parameters for the PK component are obtained from histological studies, while the PD are based on a combination of binding assays, receptor trafficking studies, and measurements of receptor phosphorylation under different conditions, from experiments performed in multiple cells lines by different research groups [22, 23].
One of the areas where systems pharmacology holds the most promise is in accounting for changes in PK and PD between animal models and humans, both due to geometric differences, and to species-specific genes and gene expression patterns (Fig. 1) [13]. Detailed systems pharmacology models can be built and validated using in vitro data and pharmacokinetic studies in animals, and then converted into human- and disease-specific models [10, 24]. In order for these models to make clinically-relevant predictions, they must then be validated against human data to the maximum extent possible. While human data is limited, levels of drug and other biomarkers in plasma can be measured with relative ease. Mechanistically-detailed systems pharmacology models can then connect predictions of important but difficult-to-measure quantities, such as drug concentration, occupancy of receptors with drug versus native ligand, and cellular signaling at the target site, to measureable biomarkers [10]. By providing a window into the site of disease, these models have great promise to improve our understanding of both disease and therapy in the human body.
Fig 1. Mechanistic computational models bridge gaps in translation.
Due to the difficulty and invasiveness of obtaining direct human measurements of disease and drug action, we often rely on data from other systems. However, translating experimental results from cell culture and animal models into useful predictions in human patients is difficult (dashed boxes). Experimental conditions in cell culture (top) do not match the in vivo site of drug action. Similarly, there is mismatch between animal models (bottom) and human patients. Mechanistic computational models can explicitly account for these differences, integrating data from diverse sources into a single framework, and providing mechanistic insight into drug action. Human disease-specific computational models (PK/PD of the whole body or 3D models or particular tissues) can then be used to predict the effects of drugs in human patients, incorporating patient-specific information (e.g. genetic mutations and gene expression changes).
In light of the capabilities of mechanistic computational models (Box 2), we propose that inclusion of detailed mechanistic information into pharmacodynamic models is critical to understand drug PD in an insightful and predictive way. We present three brief examples where inclusion of mechanistic detail was necessary to: (1) meaningfully discriminate between effective and ineffective drugs, (2) identify promising new drug targets, or (3) understand why existing therapeutic approaches have been ineffective. We chose case studies that focus on mechanistic modeling of receptors and channels, as they are subject to complex regulation, but provide targets more specific than downstream signaling pathways, which are common to many cellular processes. These examples involve different biological systems, highlight different advantages of mechanistic models, and use different techniques to translate the mechanistic insight into the human body. All, however, demonstrate the promise of mechanistic computational models to aid in drug development for a wide range of diseases (Box 2).
Box 2. Capabilities of mechanistic computational models.
New Drug Design
Integrate data from diverse sources
Identify key, highly sensitive nodes in a signaling network
Inform optimal properties of new drugs (e.g. binding affinity)
Drug Discrimination
Predict effective vs. ineffective therapeutic strategies based on mechanism & properties that emerge in humans but not in experimental systems
Predict off-target drug effects that may lead to toxicity or drug failure
Predict optimal dosing, scheduling, route of administration, & drug combinations
Design experiments to better discriminate between drug candidates or existing & repurposed drugs
Translation to Diverse Human Population
Develop better understanding of human disease states
Translate results from experimental & animal systems into a human patient-and disease-specific context
Improve extrapolation between similar drugs, between experimental systems, and between patients, due to predictive, mechanism-based framework
Identify biomarkers for subpopulation inclusion or exclusion from clinical trials, e.g. based on patient-specific gene expression
Link measurable blood biomarkers to disease state at drug site-of-action
Establish Requirements for Success of Emerging Therapeutic Approaches
Gene Therapy (e.g. transfection efficiency)
Cell Therapy (e.g. cell type & delivery method)
Organ Transplant (e.g. drug regimens, predictive markers of rejection)
Engineered Tissue Constructs (e.g. requirements for functional vascularization)
Case Study 1: Drug Discrimination for Cardiac Arrhythmia
A promising application for mechanistic computational models is to perform virtual drug screening, eliminating candidate drugs that appear to work in single-cell systems, but have emergent properties in the context of human physiology that may result in adverse effects. The multi-scale mechanistic computational models built by Colleen Clancy and collaborators to compare anti-arrhythmia drugs, both in the context of a single cell and within tissues, provide an elegant example. Cardiac arrhythmia is a complex condition involving the (dis)coordinated electrical excitation of a large number of cells in the heart, which can cause sudden death. Based on single-cell experiments, blocking Na+ channels in cardiac myocytes was identified as a promising therapeutic strategy. However, clinical trials have demonstrated that, instead of suppressing arrhythmia, some of these drugs actually increase the incidence of sudden cardiac death by 2–3 fold in patients with a history of myocardial infarction [25]. Specifically, the class 1B anti-arrhythmia drug lidocaine, which has fast association-dissociation kinetics, has no known safety issues, but the class 1C anti-arrhythmia drug flecainide, with slow drug-channel association & dissociation, is known to cause conduction block at high physiological doses. As the pharmacokinetics of these drugs are well-characterized [26, 27], this study focused specifically on modeling drug pharmacodynamics within cardiac tissue.
The Clancy group model, which integrates decades of experimental study on the mechanisms of action of ion channels, represents the active and inactive states of the cardiac Na+ channel using a Markov model [28, 29]. To incorporate Na+-channel-blocking drugs, they used experimental data to estimate the affinity of both charged and neutral fractions of multiple drugs for each of the possible Na+ channel conformations [29]. The resulting model captured the ability of both drugs to slow conduction in single cardiac cells. To translate these observations to a clinically-relevant framework, the Clancy group and their collaborators simulated the actions of the same drugs in groups of coupled cells. The computational model — applied to both simulated 2D tissue sheets and 3D models of the human ventricle — was able to replicate the clinically-observed conduction block and increased sensitivity to early or late heart beats (which can lead to sudden cardiac death) after treatment with a high clinical dose of flecainide at fast pacing rates (160 bpm), but not with lidocaine [29]. This prediction, which emerged in organized tissues as a result of molecular-level differences in drug properties, was then validated in an animal model. In addition to discriminating between effective and ineffective drugs, this model allows for identification of safe dosing ranges and physiological counter-indications (tachycardia) for use. The Clancy group is now expanding this work to other drugs and personalized medicine applications [30, 31], including a study of sex-driven differences in susceptibility to arrhythmia as a result of sex-specific gene expression and sex hormones [32].
Case Study 2: Drug Target Identification for Cancer
Sensitivity analysis of mechanistic computational models allows for identification of key nodes in signaling pathways, which can be promising drug targets, as well as predicting changes in signaling resulting from the tuning of drug properties. This is of particular interest in fields where existing drugs have limited efficacy or are susceptible to resistance, as mechanistic models can also predict which patients will benefit from a particular drug. An excellent application of mechanistic computational models for cancer drug development is the work of Birgit Schoeberl and colleagues at Merrimack Pharmaceuticals. This group built detailed models of ligand-binding, receptor dimerization, and downstream signaling in the ErbB family, the receptors of which are commonly overexpressed or constitutively active in cancer [33, 34]. To build these models, they performed extensive screening of ErbB family receptor phosphorylation and Akt activation in diverse cancer cell lines. They then fit kinetic parameters in the model using this experimental data. They found that Akt signaling resulting from treatment with betacellulin or heregulin1-β was more sensitive to perturbation of ErbB3/HER3, a kinase-dead receptor tyrosine kinase, than the more commonly targeted ErbB1/EGFR or ErbB2/HER2 [34]. Without such modeling efforts, ErbB3 was unlikely to be identified as a promising drug target, due to its lack of an active kinase domain.
As a result of this work, Merrimack Pharmaceuticals designed an antibody (MM-121) specifically to inhibit phosphorylation of ErbB3, with an affinity for ErbB3 informed by the mechanistic computational modeling effort [34, 35]. In addition to drug design, the team was able to identify potential molecular biomarkers for response to MM-121. This has had a direct impact on the development process: high heregulin expression, predicted to be indicative of a positive response to MM-121 treatment, is an inclusion criteria for a current phase II clinical trial for MM-121 in combination with chemotherapy for non-small cell lung cancer [36]. Similar work has led to additional candidate antibodies currently in development. This example demonstrates the value of detailed computational models in not only discriminating between previously-developed and characterized drugs, but also in optimizing the targets and properties of future drugs.
Case Study 3: Better Therapeutic Approaches for Ischemic Disease
Mechanistic computational models are valuable both for screening potential drug targets in stand-alone pharmacodynamic models, and in the context of systems pharmacology-style PK/PD models, where diverse therapeutic delivery routes can be compared. We apply these strategies to study angiogenesis, the growth of new blood vessels from the existing vasculature. A promising approach to treat ischemic disease is to promote angiogenesis by targeting one of its key regulators, vascular endothelial growth factor (VEGF). However, despite multiple clinical trials, no VEGF-based pro-angiogenic therapies have yet been approved [10, 37, 38], and success in promoting vascularization of engineered tissue constructs has also been limited [39]. This suggests that our current understanding of the underlying processes is insufficient to effectively promote vascular growth or remodeling.
To address this barrier, we build detailed mechanistic computational models of VEGF binding to its receptors, coreceptors, and the extracellular matrix (ECM), as well as the dimerization, intracellular trafficking and phosphorylation of the primary signaling VEGF receptor, VEGFR2. Such models can be used to study how changes in VEGF presentation (i.e. in solution or bound to the ECM) and the distribution of splice isoforms (which changes in disease), can alter endothelial cell signaling and the resulting vascular morphology [22]. As such, regulation of these properties is important to ensure proper perfusion and to control the permeability of developing vessels [40]. In addition to increasing our understanding of the pharmacodynamics of VEGF action in tissues, these biophysically-detailed models allow for comparison of many potential therapies, such as antibodies that target VEGF or block coreceptor binding, or gene therapy approaches [41–43]. We build these models upon detailed measurements of VEGF-induced signaling in cultured endothelial cells following various perturbations. However, the conditions for cell culture experiments are quite different than those in the human body (Fig. 1).
One of the strategies we use to translate this mechanistic insight into the context of the human body is by seeding these detailed endothelial cell signaling reactions (PD) into a PK model to form a mechanistically-detailed systems pharmacology model [23]. Our PK framework includes blood, healthy tissue, and diseased tissue (e.g. mouse or human calf muscle with peripheral artery disease), parameterized using histological and physiological data. These models allow us to predict how VEGF-mediated signaling changes in diseased tissue (compared to healthy tissue), which is very difficult to measure in patients. Additionally, we can predict how therapeutically-relevant quantities, such as the phosphorylation of VEGFR2, relate to measurable biomarkers, for example plasma levels of different VEGF isoforms [44], as we have previously done in cancer [43]. These whole-body models allow for screening of different delivery methods for therapies, such as intravenous or intramuscular antibody delivery, as well as gene, protein, or cell-based therapies and exercise [45]. While it is expected that these different therapy delivery methods (e.g. protein versus gene therapy) will result in different magnitudes & durations of effect in the target tissue, it is unclear without simulation which approaches may be most or least effective. Additionally, by incorporating mouse- and human-specific geometry and molecular (e.g. gene expression) changes, we can predict differences in therapy effectiveness between animal and human models [6]. This powerful framework provides great promise both to understand why previous therapeutic strategies have failed, and to identify promising future drug targets and delivery strategies.
Mechanistic computational models: a way forward for drug development
The body’s response to a drug is often an emergent property of the complex system. As such, drug design is not simply a problem of maximizing binding of a single drug to a single target. The case studies presented here demonstrate the unique ability of computational models including receptor- or channel-level mechanistic detail to improve selection of the right drug targets, properties, dosing & delivery route, and patient populations. The most effective way to implement mechanistic computational models of drug pharmacodynamics depends on the disease application. By linking predictions of important but difficult-to-measure markers of disease state to measureable plasma biomarkers, mechanistic models coupled to PK/PD frameworks (parameterized for specific disease applications) can give clinicians and drug designers a window into disease-driven changes on a patient-specific basis (Box 2). In other cases, where spatial patterning and cell-cell communication are known to play an important role, 3D tissue-scale computational models have a critical ability to capture emergent behaviors in healthy and diseased tissues. To incorporate pharmacokinetics into these 3D models, PK/PD model predictions can provide the local drug concentration (due to delivery and average consumption by the target tissue) and help parameterize the 3D pharmacodynamic model. Regardless of approach, the mechanistic detail is what makes these models predictive, conferring the ability to identify critical drug design requirements and patient counter-indications.
As highlighted by the diverse applications in the case studies, mechanistic computational models can be applied to any disease state, be it acute or chronic, and regardless of whether the disease stems from infection, genetic factors, and/or environmental or behavior factors. The only requirement is sufficient experimental information to build a mechanistic model of the underlying molecular changes. Computational models can also be used to test the feasibility of promising, but not yet widely successful, therapeutic strategies (Box 2). For example, models can predict the transfection efficiency required for gene and cell therapy to be effective across a heterogeneous patient population [46, 47]. In addition to drug design, mechanistic computational models, paired with traditional drug development tools, can be used to identify better biomarkers for disease progression and therapy response [48], better predict differences in response in animal models and human patients [49, 50], and to perform failure analysis on ineffective drugs [3, 29], informing the next generation of therapeutics. Personalized medicine approaches can also benefit from the use of mechanistic models, for example in predicting dosing regimes and drug combinations based on the molecular markers of individual patients or disease subtypes [12, 14]. Because mechanistic computational models can address some of the key shortcomings of the drug development process, they hold promise, used hand-in-hand with experimental approaches, to reduce clinical trial failure, reduce the average per-drug time and cost investment for development, and ultimately, improve patient outcomes.
Acknowledgments
This work was supported by a Department of Defense (DoD) National Defense Science & Engineering Graduate Fellowship (NDSEG) to LEC. This work was also funded in part by NIH R01HL101200, NIH R00HL093219, and a Sloan Research Fellowship to FMG.
Abbreviations
- ECM
extracellular matrix
- PAD
peripheral arterial disease
- PD
pharmacodynamics
- PK
pharmacokinetics
- VEGF
vascular endothelial growth factor
Footnotes
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