Significance
The recent advance in the use of viral vectors for gene delivery, combined with the design of synthetic gene circuits to diagnose and target cells, brings opportunities for effective treatment of cancer. So far, gene circuits have been considered logical devices capable of discriminating normal from malignant cells as discrete states, ignoring cellular heterogeneity in cancer expression markers. We addressed the inherent limitations heterogeneity imposes on the precision of targeting circuits. Using molecular parameters to control circuit gain amplification and threshold, we show an inherent tradeoff emerges between specificity and sensitivity. In light of this tradeoff, the molecular optimization of targeting circuits will be an important step for effective implementation of personalized gene therapy.
Keywords: synthetic gene circuits, cellular heterogeneity, cancer gene therapy, cell-state targeting, mammalian synthetic biology
Abstract
Synthetic gene circuits are emerging as a versatile means to target cancer with enhanced specificity by combinatorial integration of multiple expression markers. Such circuits must also be tuned to be highly sensitive because escape of even a few cells might be detrimental. However, the error rates of decision-making circuits in light of cellular variability in gene expression have so far remained unexplored. Here, we measure the single-cell response function of a tunable logic AND gate acting on two promoters in heterogeneous cell populations. Our analysis reveals an inherent tradeoff between specificity and sensitivity that is controlled by the AND gate amplification gain and activation threshold. We implement a tumor-mimicking cell-culture model of cancer cells emerging in a background of normal ones, and show that molecular parameters of the synthetic circuits control specificity and sensitivity in a killing assay. This suggests that, beyond the inherent tradeoff, synthetic circuits operating in a heterogeneous environment could be optimized to efficiently target malignant state with minimal loss of specificity.
The design of gene circuits capable of precisely targeting cancer cells is a major challenge in synthetic biology (1–3), in light of the prospects of using engineered viruses for cancer gene therapy (4), or designing T cells expressing chimeric antigen receptors (CAR-T) (5). Ideally, targeting circuits must be highly sensitive to eradicate all cancer cells, and sufficiently specific to protect surrounding tissues. Gene expression markers that are hyperactive in cancer but not in healthy cells are natural candidates for cancer gene therapy (6). However, a single marker does not suffice because it might be moderately active in normal cells, which would result in incorrect identification. Combining multiple markers improves specificity because a weakly active one will buffer the others by thresholding (7, 8), as in Boolean logic circuits converting graded inputs into digital-like output (9–14). The response function of such circuits––input/output activation threshold, amplitude, and sharpness––can be tuned by DNA specificity, promoter design, or protein–protein affinity (15, 16).
We previously reported a dual-promoter integrator (DPI) as a logic AND gate to combine the activity of two cancer-specific promoters, and express a reporter or killer gene only when both promoters are decidedly active (17). Subsequently, others used a multiinput logic circuit based on microRNAs to target cancer (18). This Boolean approach provides reliable results on average, but ignores the heterogeneity of cell states. Input values may span a continuum due to expression noise (19, 20) and cancer heterogeneity (21). Furthermore, so-called synthetic circuits are not truly digital all-or-none, but rather analog systems that produce continuous signals using transcription factors, expression regulators, and machinery whose concentrations fluctuate (22); errors in decision-making are hence expected. Consequently, enhancing specificity by combining multiple inputs will inevitably result in cancer cells escaping targeting, whereas increasing sensitivity might lead to targeting of normal cells.
In this paper we consider the inherent tradeoff in specificity and sensitivity of a targeting circuit. We measured the response function of a DPI at the single-cell level in transfected colorectal cancer cells, and observed how decision-making errors emerge due to cellular heterogeneity in expression. We then measured how the median and variance of the output distribution depend on the DPI amplification and activation threshold, which demonstrates that circuit noise affects the precision of decision-making. Then, we measured the sensitivity and specificity of various DPI designs using a model system of stably infected premalignant and cancer lung fibroblasts. Finally, we performed a killing assay on a tumor-like model comprising a coculture of the cancer cells surrounded by the nonmalignant ones, which validated that high sensitivity comes at the expense of reduced specificity.
Results and Discussion
The Sensitivity–Specificity Tradeoff in Targeting Circuits.
The main idea of this paper is demonstrated by considering the task of targeting a tumor growing in a background of normal cells using a synthetic AND gate circuit. As inputs we choose two promoters that are up-regulated in cancer cells, and assume their expression patterns in the two populations are overlapping due to variability (Fig. 1A). The AND gate generates a simple bimodal response with high output only if both promoter activities are above an activation threshold (Fig. 1B). However, the overlap in input space implies that perfect classification of cancer and normal cells as respective high (true positive) and low (true negative) output states is not possible. Cancer with inputs below threshold will be identified as false negative, and hence not targeted. Similarly, noncancer cells with high inputs will be targeted as false positive identification.
In addition, the AND gate response function is not ideal, with a distribution of values around the high/low states, and a transition that is continuous rather than digital (Fig. 1C). The circuit will mainly generate a bimodal response, except in cells whose inputs are close to the activation threshold, which will generate output ranging from low to high. For this nonideal binary classifier we need to define a killing threshold, above which output level is considered sufficient to kill the cell, and that optimally separates low and high states. Output distribution width and cells with intermediate output level (gate sharpness) could thus appear as new sources of detection errors. At this killer gene threshold, we can reduce the false negative error rate by amplifying the circuit output (Fig. 1D). Shifting the output distribution to higher values will increase the fraction of cells detected in the high state. Consequently, more cancer cells will be killed and the sensitivity improved. But, this comes at the expense of increased noise at the low state, resulting in enhanced rate of false positive detection, which implies reduced specificity. Alternatively, we can shift the activation threshold to higher values and reduce false positive error rate (Fig. 1E). The proportion of cells considered as low inputs will increase and more normal and cancer cells will be protected, thereby improving specificity at the expense of sensitivity. Conversely, reducing the circuit output will increase specificity at the expense of sensitivity, whereas shifting the activation threshold to lower values will increase sensitivity at the expense of specificity.
Single-Cell Analysis of the AND Gate.
The two inputs of the DPI are duplicates of endogenous promoters and we chose two highly active cancer markers (17): the synovial sarcoma X-breakpoint protein-1 (SSX1), and the chromatin structural protein histone (H2A1), as well as the Cyclin D1 (CycD1) promoter whose duplicate had low activity (Fig. 2A). One input drives expression of bacterial dockerin DocS fused to the viral VP16 transcription activation domain (DocS-VP16AD, or AD) and carries a nuclear localization signal (NLS). The second input drives expression of bacterial cohesin Coh2 fused to the Yeast Gal4 binding domain (Coh2-Gal4BD, or BD). The two fusion proteins combine through the high affinity binding of DocS and Coh2 proteins (23). Together, they form a synthetic transcriptional complex (sTC) that binds Gal4 binding site (BS) repeats, and triggers the expression of output––a reporter, or killer gene for targeting cancer cells. By design, output is generated only if both endogenous promoters are active above a specific threshold. To control the DPI output we varied the number of binding repeats 3, 5, 8, and 14 on the output promoter and reduced the AD-BD affinity from the wild-type (WT) two-hybrid to reduced affinity variants M102 and M15 (24). Different DPI designs are henceforth termed according to repeat number and AD-BD affinity: 3-WT, 5-M15, 5-M102, etc. Monitoring the input/output (I/O) at single-cell resolution was done using three fluorescent proteins. Inputs fused through a 2A self-cleavable peptide (25): CFP to DocS-VP16AD, mCherry to Coh2-Gal4BD. Output was reported by YFP. A fourth reporter, Sirius, driven by the constitutive PGK promoter, was used to screen for transfected cells in the flow cytometry analysis (SI Appendix, Fig. S1 and Tables S1 and S2).
We measured the distribution of the single-cell I/O of 5-WT DPI in HCT116 colorectal cancer cells. The median values showed a characteristic AND gate behavior (Fig. 2B), with background-level output when at least one of the inputs was low, (6.6 ± 0.8, 17.7 ± 3.0, and 11.7 ± 1.8 relative fluorescence unit (RFU) with promoter pairs CycD1/CycD1, CycD1/H2A1, and H2A1/CycD1, respectively) and up to 300-fold output for two high inputs (2,212 ± 366 RFU, with H2A1/H2A1). However, the distribution was very broad due to cell-to-cell input variability, circuit response, and plasmid copy number (Fig. 2C). Interestingly, despite low average output when one or two inputs were low, the output distribution exhibited a long tail of cells expressing high output. Conversely, when both inputs were highly active on average, the output distribution exhibited a small peak of low-output expressing cells. These error-making cells deviate from the all-or-none averaged logic AND gate and appear negligible in the population. However, they represent false negative and false positive cell-state identification.
We corrected for extrinsic noise due to variability in plasmid copy number and cell size and concatenated single-cell data of all promoter pairs to obtain a single I/O map of the AND gate, irrespective of promoter identity (Fig. 2D and SI Appendix, Figs. S2–S4). The AND-gate function is square-shaped with two orthogonal activation thresholds along the AD and BD axes. A higher tip along the diagonal suggests that two identical promoters enhance the output, possibly due to their synchronous expression. The distributions along one of the axes when the other is high are sharply bimodal with a sigmoidal curve with similar minima and maxima, threshold values, and a Hill coefficient of about 5 (Fig. 2E and SI Appendix, Table S3). However, the output distribution below the activation gate at fixed high BD shows enhanced variability compared with at high AD, as for single promoter pair distributions (Fig. 2C). At high inputs the output saturates but then decreases in both axes as a new population of low-output cells emerges, suggesting that forcing very high expression could be detrimental to the proper function of the AND gate.
Integrator Promoter Binding Repeats Amplify Output and Noise.
To study the effect of binding repeat number we transfected HCT 116 cells by 3-WT, 5-WT, 8-WT, and 14-WT constructs with H2A1/H2A1 promoter pair inputs, and measured the single-cell I/O response. The output increased along the diagonal in input space reaching saturating values, which amplified with the number of binding repeats (Fig. 3 A and B). The output distribution median and width increased to higher values with repeat number (Fig. 3C), yet the distribution normalized by the median was invariant (Fig. 3C, Inset). This indicates that both signal and noise were uniformly amplified across all output values, which implies improved targeting of cancer cells, but at the risk of false targeting of normal ones.
We next obtained the single-cell I/O map with 3 × 3 promoters for all repeats (Fig. 3D and SI Appendix, Fig. S5). We observed roughly sixfold amplification with increase of repeats from 3 to 14 without major change in input space, activation thresholds, and overall I/O structure, thus confirming the uniform amplification as for H2A1/H2A1. The output distributions for high-AD/low-BD maintained the scaling of width with median for all repeats (Fig. 3E). Interestingly, for low-AD/high-BD the width broadened with repeat number more than the median (Fig. 3F), which implies enhanced noise that reinforces the risk of false positive targeting. To conclude, increasing the number of binding repeats is an important amplification mechanism that confers sensitivity and robustness to the AND gate as it separates the low and high response states, but it may introduce unavoidable noise and thus decrease the targeting specificity.
Integrator Strength Determines AND Gate Threshold and Error Rates.
The AD-BD affinity, kD-C, determines the concentration of functional sTC, but also the proportion of BD transported into the nucleus along with AD carrying the NLS (Fig. 4A). We studied the effect of the affinity on the output signal and noise by transfecting HCT116 cells with 5-WT, 5-M15, 5-M102 DPI designs using H2A1/H2A1 promoter pair and measured the single-cell I/O. As expected, the median output along the inputs diagonal was reduced by an order of magnitude in 5-M102 compared with 5-WT, with a milder reduction for 5-M15 (Fig. 4B).
The I/O for all 3 × 3 promoter pairs showed that weaker affinity shifted the activation threshold toward higher input values along the AD axis by a decade compared with 5-WT (Fig. 4 C and D and SI Appendix, Fig. S6). This shift is expected because at low binding affinity a higher concentration of AD is required to transport the complex into the nucleus. Interestingly, the shift along the BD axis was smaller, likely because transport is no more a limiting factor in excess of AD-NLS. We conclude that reduced integrator affinity works differently than binding repeats on promoter, acting to shift the activation threshold on top of a general output reduction. On the one hand, the shift in gating threshold expands the range of low inputs for which output is low. Along with the overall output reduction this protects against false positive errors. On the other hand, the noise at high inputs is increased and a clear threshold separation between the low and high output states is compromised (Fig. 4D), which strongly increases the false negative error rate. With weak affinity designs, the gain in specificity is counterbalanced by a loss in sensitivity.
Specificity and Sensitivity Analysis in Mixed Malignant and Premalignant Cells.
To illustrate the specificity–sensitivity tradeoff we used T3 and T/NEO lineages derived from WI38 human lung fibroblasts: (i) WI38/T3 is hTERT immortalized, p53 knockdown, and H-RasV12 over-expressing; (ii) WI38/hTERTfast/NEO is hTERT immortalized and fast proliferating, but otherwise does not show other cancer phenotype and has been classified as premalignant (26–28). We first transfected the two cell lines, choosing SSX1 (AD input) and H2A1 (BD input) as two independent cancer-related markers with a wide dynamic range of activity, and measured single-cell I/O response (SI Appendix, Fig. S7). T3 and T/NEO input spaces were strongly overlapping but T3 cells showed a higher output level at all input. Results were noisy due to low transfection efficiency; therefore, we stably infected WI38 cells using third-generation lentiviruses (29) (Fig. 5A and SI Appendix, Fig. S8). Inputs fluorescent reporters were removed and we fused the YFP output reporter via P2A to the conditional killer gene Thymidine Kinase 1 from Herpes Simplex Virus (HSV-TK1), which triggers cell death upon addition of Ganciclovir (GCV). For cell-type identification, we labeled each cell type by a second reporter under the constitutive Ubiquitin C promoter (hUbCp) CFP and mKate2 for T/NEO and T3 cells, respectively (Fig. 5B).
We cultured mixtures of T3 and T/NEO cells infected by 5-M102, 3-WT, and 5-WT DPIs for 4 d and measured the single-cell output (Fig. 5 C and D). We observed a bimodal response with one population below 100 RFU and a high one with level about 300, 1,000, and 8,000 RFU for 5-M102, 3-WT, and 5-WT, respectively. As in HCT116 cells, for both cell types the output for 5-M102 was low compared with WT constructs and increasing binding repeats led to amplification. Expectedly, the output distribution of the two cell types was overlapping, which implies compromising between targeting cancer cells (i.e., sensitivity) and protecting premalignant ones (i.e., specificity).
To quantify this tradeoff we considered a hypothetical killing threshold of output (in YFP RFU), and computed the sensitivity as the ratio of T3 cells above this threshold to total T3 cells, and specificity as the ratio of T/NEO cells below threshold to total T/NEO cells. We then scanned the threshold values for all constructs, obtaining predictive true positive and true negative rates of each cell classifier (Fig. 5E). When increasing the killing threshold, namely higher output required to kill a cell, we observed a decrease in sensitivity and a reciprocal increase in specificity for all constructs. Moreover, for strong DPI constructs as 5-WT, the sensitivity was close to 1 up to higher threshold values but specificity remained low. Conversely for weak ones as 5-M102, sensitivity rapidly dropped with threshold values. We calculated a single score for the DPI as a binary classifier using standard analysis of receiver operating characteristic curve (30), which takes into account the tradeoff in sensitivity/specificity for all threshold values (SI Appendix, Fig. S9). We obtained values of 0.70, 0.66, and 0.65 for 5-WT, 3-WT, and 5-M102, respectively. This implies that 5-WT design is predictably the best cell classifier regardless of the killing threshold used. However, in practice the optimal circuit design will depend on the GCV treatment condition and effective killing threshold. In a more general context, it will also depend on the input promoters and cell types considered; hence, promoter activities, expression capability, and drug response should be assessed for every cell line.
Targeted Killing in a 2D “Tumor Model” Coculture.
We next validated the sensitivity/specificity tradeoff in TK1 killing assays (Fig. 6A). By depositing a drop of a few hundred T3 cells before plating T/NEO cells, we obtained an ∼1-mm-diameter “tumor” surrounded by a “healthy tissue.” The growth of the coculture was monitored daily by fluorescence microscopy and the output expression level was measured for each population according to pixels identified by the constitutive reporters (Fig. 6B and SI Appendix, Fig. S10). The output expression increased with time in both T3 tumors and in surrounding T/NEO tissues, with T3 displaying higher median output at all times. We also observed that T/NEO cells at the periphery of the tumor showed an increase in output expression, probably due to short distance communication between the tumor and its direct surroundings (Fig. 6B, Bottom).
Without treatment, T3 outgrew all of the T/NEO cocultures in time, which is consistent with the loss of contact inhibition, fast growth rates, and multilayer formation of cancer cells. In contrast, after 24 h of a 10-µM GCV treatment, tumors kept expanding for 2 d before regressing in area, and with higher killing rates for the 5-WT and 3-WT than 5-M102 (Fig. 6 C and D). Tumors with a DPI lacking the output gene kept growing, consistent with specific kill due to TK1 expression. T/NEO tissues displayed slow growth before reaching a plateau between day 5 and 10, similar to growth reduction due to tumor expansion observed in negative control samples (Fig. 6E). A single treatment did not completely eradicate the tumor and we gave an additional treatment at day 11. The model tumors continued to decrease in all of the DPI samples, but for 3-WT and 5-WT, T/NEO tissue also decreased in area after this second treatment (Fig. 6E).
An end-point measurement of the treatment was done after 35 d for one experiment, clearly showing the differential sensitivity and specificity in targeting by DPIs (Fig. 6C). The 5-M102 demonstrated the highest specificity, protecting T/NEO cells from treatment, but proved to be insufficient to completely remove the tumor, and a small islet of T3 cells restarted growing (Fig. 6C). On the contrary, 3-WT and 5-WT resulted in a complete eradication of T3 cells after 1 mo but with a significant decline in T/NEO population, demonstrating the increased false-positive identification rate of designs with high sensitivity.
Discussion
Varying the DPI activation threshold and amplification and measuring the single-cell I/O in HCT116 cells revealed just how cellular variability and circuit noise limits precise targeting. Thus, single-cell analysis is a predictive tool to understand the origin of errors made by cell-state classifiers. For example, the noise observed with 5-M15 and 5-M102 at high inputs (Fig. 4C and SI Appendix, Fig. S5), or with increased binding repeats at high BD (Fig. 3E and SI Appendix, Fig. S4) reveals limitations of the molecular modules used to modify the response function. Nevertheless, the analysis showed an inherent tradeoff between sensitivity and specificity due to expression heterogeneity, and input space overlap between targeted and protected cells. Generally, a “weak” DPI leads to highly specific targeting but insufficient killing of cancer cells, whereas a “strong” one is highly sensitive, but lacks specificity, hence will kill most of the normal cells. This tradeoff implies a limitation on expression-based cell-classifier designs. Higher specificity can be achieved by shifting the activation threshold or by using multiinput gates. However, multiple inputs will reduce the overlap between the input space of cancer cells and the circuit high-output region (Fig. 1B), which implies loss of sensitivity. Therefore, for cancer therapy, in which escape of even a few cells is detrimental, excessive increase of the targeting specificity will come at the expense of the required sensitivity.
The targeting experiments with T3 and T/NEO were challenging because these are closely related cell lineages despite their different morphology and malignancy state. We confirmed the differential targeting efficiency of our DPI designs for a specific killer gene (HSV-TK1) and one treatment condition. The specificity was increased when using 3-WT instead of 5-WT and even more with the mutant 5-M102, clearly showing a different level of protection of T/NEO cells surrounding the T3 tumor. But, under these experimental conditions, the effect of amplification on targeting sensitivity was hardly observed from 3-WT to 5-WT. Although the 5-WT was predicted to be optimal for targeting in reporter gene analysis (Fig. 5), we observed better results with 3-WT. Treatment parameters should therefore be further optimized for improved targeting methodology. For example, GCV concentration and treatment duration and frequency can be tuned to shift the tradeoff to higher sensitivity or higher specificity.
Moreover, we obtained higher sensitivity in the actual killing results than expected from analysis of reporter output (Fig. 5D), in which a subpopulation of T3 cells displayed very low output level. This stronger killing efficiency may be the result of the bystander effect of TK1 activity, mediated by cell–cell transfer of phosphorylated GCV via cellular gap junctions (31). The cell-specific growth rate may also explain this imbalance as GCV kills cells upon division and may not have the same dose–response effect in each cell line. The faster division rate of T3 cells may increase the cell-death probability during treatment duration.
Another source of difference between single-cell analysis and tumor-model results is the role of cell–cell communication and spatial organization in such assays. Interestingly, additional microscopy experiments showed that output expression in T/NEO cells increased when mixed with T3, compared with those grown alone (SI Appendix, Fig. S10). This observation suggests communication between cocultured cells (32) and may have important implication for the dynamics of malignant states in populations. However, further elucidation is required to account for cell–cell communication, bystander effect, or gene/drug penetration when addressing the targeting of spatially constrained cells. For example, 3D-tumor models closer to real-life tumors are important to study the actual capability of synthetic circuits in cancer therapy (33–35). Toward a predictive sensitivity/specificity model, the intrinsic response function of the circuit should be combined with spatial organization and cell-type-specific features such as kinetics of growth, overall metabolism, and dose–response (36).
This optimization approach can also be implemented for nonviral gene delivery systems (37) or in other targeting scenarios such as CAR-T cells. CAR-based (38, 39) and synNotch/CAR AND gates (40) were designed to increase the safety of adoptive T-cells therapy by targeting only cells that display two cancer-specific surface markers. Nevertheless, it may also come at the risk of tumor cells escaping the treatment due to antigens heterogeneity and immunoediting. Finally, synthetic circuit optimization may become part of a personalized cancer therapy toolbox (41).
Materials and Methods
Materials and methods are fully described in the SI Appendix. In short, human colorectal tumor cell lines HCT 116 were transfected with various DPI designs. Inputs, output, and constitutive fluorescence were measured by flow cytometry after 48 h. Human lung cancer WI-38/T3 and WI-38/T/NEO cell lines were infected by third-generation lentiviruses to stably express DPI designs and a cell-identification reporter; fluorescence was measured either by flow cytometry or by epifluorescence microscopy. For the tumor model, a 1-mm islet of T3 cells was cocultured in a T/NEO background, 10 µM GCV was added for 24 h at day 4 and 11, and proliferation monitored daily.
Supplementary Material
Acknowledgments
We thank Prof. Takeharu Nagai (Osaka University) who kindly provided the Sirius gene. M.M. acknowledges the Dean of Faculty Fellowship (Weizmann Institute).
Footnotes
The authors declare no conflict of interest.
This article is a PNAS Direct Submission.
This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1604391113/-/DCSupplemental.
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