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Department of Chemical and Biochemical Engineering, Department of Biomedical Engineering, Rutgers University, Piscataway, New Jersey 08854-8058
Correspondence: Address reprint requests to Charles M. Roth, Dept. of Chemical and Biochemical Engineering, Dept. of Biomedical Engineering, Rutgers University, 98 Brett Rd., Rm. C-228, Piscataway, NJ 08854-8058. Tel.: 732-445-4109; Fax: 732-445-2581; E-mail: cmroth{at}rci.rutgers.edu.
| ABSTRACT |
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| INTRODUCTION |
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We present an integrated framework for understanding and improving the effectiveness of AS ONs based on mathematical modeling of the cellular events that an AS ON undergoes as it attempts to reach and block the target. A few mathematical models have been developed previously to describe antisense activity under steady-state (5
,6
) and dynamic (7
) conditions. These models are based on mass action kinetic balances as ONs move through extracellular and intracellular compartments, and our work builds upon these studies. In particular, we consider a greater number of compartments (bulk solution, cell surface, endosomal, and cytoplasmic) and ON states (e.g., adsorbed to cell surfaces, hybridized to target species, hybridized to nontarget species). Our goal is to determine those molecular design variables that can be manipulated to produce more effective AS ONs and to provide new insights for the timescales and conditions necessary for successful antisense effects.
| MATERIALS AND METHODS |
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b). The phase ratio,
, serves as a conversion factor between bulk solution concentration (in µM) and cellular concentration (molecules/cell):
![]() | (1) |
![]() | (2) |
Endocytosis and trafficking
Once the complex is internalized via endocytosis, the receptor dissociates to form an internalized receptor (Ri), which is capable of recycling (with rate constant kr) to the cell surface. The internalized oligonucleotide (Ai) is either routed for degradation (with rate constant
i) or escapes into the cytoplasm (with rate constant kt) to form cytoplasmic oligonucleotide (Ac):
![]() | (3) |
![]() | (4) |
![]() | (5) |
Binding and catalysis
A cytoplasmic oligonucleotide may hybridize to either its target mRNA (M) or possibly to a nontarget mRNA (N) to form target (D) and nontarget (E) duplexes, respectively. The rate constant for association to target mRNA is ka and to nontarget mRNA is
. Duplexes of ON-mRNA are recognized by Rnase H, which cleaves the RNA portion of the duplex to produce degraded target or nontarget mRNA. Because the amount of substrate (i.e., duplex) available for Rnase H is likely to be significantly smaller than the Michaelis constant of 0.2 µM (8
), Michaelis-Menten kinetics reduces to a pseudo-first-order expression with rate constant veff, assumed to be identical for target and nontarget duplexes. The oligonucleotide is released intact after mRNA degradation and is available for further hybridization events. Because nontarget mRNA is far in excess to target mRNA, the total concentration of nontarget mRNA can be taken as a constant, N0. Although there are many possible nontarget mRNAs, they are lumped together as a single entity. The presence or absence of nontarget mRNA did not exert a substantial effect on model results. In competition with these hybridization events, oligonucleotide is degraded by cellular nucleases (with rate constant
c). In addition to antisense-mediated degradation, the target mRNA undergoes constitutive synthesis (with constant rate
m) and degradation (with first-order rate constant
m)
![]() | (6) |
![]() | (7) |
![]() | (8) |
![]() | (9) |
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Each oligonucleotide was combined with Lipofectamine 2000 at a weight ratio of 2.5 (Lipofectamine/ON) at an ON concentration of 100 nM and incubated with the CHO-pd1EGFP cells for varying durations. At each time, replicate wells of cells were washed, trypinized, pelleted by centrifugation, suspended in phosphate-buffered saline maintained on ice, and subjected as quickly as possible to flow cytometry. Forward and side scatter characteristics were used to remove dead cells from the analysis, and the remaining cells were analyzed for Alexa uptake and pd1EGFP inhibition. Each was determined from the geometric mean of the fluorescence intensity for its channel, with pd1EGFP values normalized to those for untreated pd1EGFP cells.
Experimental measurement of gene expression dynamics in H35 cells
Antisense inhibition experiments against gp130 were performed with H35 rat hepatoma cells in 24 well plates under serum-free conditions as previously described (9
).
| RESULTS |
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Cellular uptake and trafficking of oligonucleotides
It is commonly believed that the uptake of DNA by cells is low due to the electrostatic repulsion between the anionic charges residing on DNA and those residing on cell membranes from their glycocalyces and phospholipids membranes. ONs, however, are small enough to find local regions on cell surface proteins (which may be cationic) to which favorable binding occurs, followed by adsorptive endocytosis. As a result, significant quantities of ONs are delivered to cells, and reasonably accurate measurements of uptake are available from radiolabel measurements (10
12
). Indeed, these studies have demonstrated that significant quantities of oligonucleotides are taken up by cells, much more than would be required for stoichiometric inhibition of target mRNAs expressed on the levels of hundreds to thousands per cell. Although there is not a receptor with a known functional role in mediating ON uptake, cell membrane proteins have been identified as mediating uptake via adsorptive endocytosis, resulting in saturation of uptake at moderate ON concentrations (a nonsaturating component of uptake, believed to be mediated by fluid-phase endocytosis, has also been observed at high ON concentrations) (10
13
).
Given that over the course of a few hours, hundreds of thousands of oligonucleotides can enter a cell, what is their fate? After internalization, oligonucleotides must escape vesicular compartments, avoid degradation and efflux, find their complementary target mRNA, hybridize, and remain associated long enough to mediate Rnase H-catalyzed destruction of the target mRNA or to inhibit translation sterically. The intracellular trafficking characteristics are the most difficult to quantify experimentally, but sufficient studies on the endosomal escape of oligonucleotides and the dynamics of endosomal and lysosomal progression permit order-of-magnitude estimation of their rates (14
,15
) (Table 1). After internalization by endosomes, oligonucleotides may either be routed to lysosomes or achieve escape into the cytoplasm. Significant endosomal concentrations are reached rapidly, peaking at 30 min (results not shown), and the levels of cytoplasmic oligonucleotide peak later, in the range 330360 min (Fig. 2 A). Because of the saturable nature of receptor-mediated internalization, the maximum level of ON in the cytoplasm varies by a little over twofold as the bulk ON concentration increases fivefold (Fig. 2 A). In contrast, the maximum endosomal and cytoplasmic levels are much more sensitive to the rates of lysosomal routing versus cytoplasmic escape. Specifically, increased endosomal escape leads to a dramatic increase in the cytoplasmic level of oligonucleotide (Fig. 2 B), whereas increased lysosomal routing causes a reciprocal decrease in the cytoplasmic level of oligonucleotide (results not shown). However, the time at which maximal cytoplasmic concentration is reached is relatively insensitive to the values of these parameters. Thus, from the parameter variations associated with uptake and trafficking, the escape from endosomes before lysosomal routing and degradation appears to be the critical step in achieving high levels of oligonucleotide in the cytoplasm.
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1 h, minimizing the time lag between changes in mRNA and protein expression. Thus, one set of model parameters reproduces faithfully both the dynamics of uptake and dynamics of inhibition, suggesting that we have captured the essential relationship between these processes in the model.
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20 min), the model predicts that little inhibition will be observed, regardless of hybridization rate (Fig. 6 A). For an ON half-life on the order of hours, the association rate between ON and target mRNA dictates the extent of inhibition but does not significantly affect the timescale over which inhibition occurs (Fig. 6 B). A very stable ON (half-life
40 h) could result in extended duration of inhibition; however, a sufficiently fast hybridization rate would still be required (Fig. 6 C).
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It is generally assumed that a major factor in the effectiveness of AS ONs is the recruitment of Rnase H to ON-mRNA duplexes, followed by cleavage of the target mRNA. As the concentration of ON-mRNA duplexes should be always significantly less than the Michaelis constant (17
), we employ a pseudo-first-order expression for Rnase H cleavage (Eqs. 6, 8, and 9). The effect of the Rnase H cleavage rate on maximum antisense inhibition was relatively minor, both at low (Fig. 7 A) and high (Fig. 7 B) rates of hybridization. The time of maximum inhibition was only slightly affected, ranging 225270 min for ka = 1.0 µM1 min1 and 195255 min for ka = 10.0 µM1 min1.
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| DISCUSSION |
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Estimates for the parameters in the model are taken from the accumulated AS ON literature. The cellular eventsuptake, trafficking, and degradationhave all been monitored in a variety of experiments but typically not all simultaneously in the same cells under the same conditions. Although the parameters used are thus from disparate experimental protocols, in most cases they should be reasonable order of magnitude estimates. The expected range of variability of these parameters was explored to determine the sensitivity of antisense activity to them, both individually to see how one parameter affects the new antisense activity but also through random variation in each parameter (Fig. 4). In addition, the mRNA levels were varied, as specific transcripts may have abundances ranging from a few copies per cell to
104 per cell (20
). Modifications to AS ON sequence and structure are designed to influence the kinetics of hybridization, the accessibility of the mRNA portion of ON-mRNA duplex to Rnase H degradation, and the degradation of the ON to nuclease digestion. Quantitative measurements of these processes can be made in vitro and provide relatively precise values for inclusion in the model, to the extent that the rates of these processes in vitro correspond to those in cells.
With this mathematical framework, we can both identify the steps most likely limiting the effectiveness of AS ONs and evaluate the feasibility of potential molecular designs for improving their effectiveness. AS ONs must overcome several barriers to enter cells, gain access to the target mRNA, and inhibit its expression. Upon reaching the cytoplasm, AS ONs can interact with mRNA through hybridization events that are potentially limiting, until they are compartmentalized, degraded, or cleared. The molecular properties of the AS ONs influence many of the events controlling AS effectiveness, thus providing an opportunity for improvement via molecular design.
For example, an oligonucleotide is a highly anionic molecule, and this is presumed to hinder entrance into the cell. Yet, significant quantities of ON do enter cells, achieving intracellular concentration on the order of 10100 nM, based on 104105 molecules entering a cell of volume 1 picoliter (10
,21
). However, high concentrations (hundreds of nanomolar) are required for the highest levels of uptake. The most efficient and selective uptake may be conferred by a delivery system in which one or a few high affinity (e.g., epidermal growth factor) ligands are used to deliver a depot of oligonucleotide, such as in a targeted liposome or vesicle (22
24
).
Nonetheless, delivery of ONs, both in naked form and using liposomes or polymeric delivery vectors, appears to be saturable (10
12
), and this limits the utility of increasing bulk ON concentration as a means of improving antisense effectiveness (Figs. 2 A and 5 A). A considerable amount of research is being directed toward the development of carriers that will protect DNA and shuttle it into cells. However, the major delivery obstacles are inside the cell, particularly escape from endosomes while avoiding routing to lysosomes and degradation (Figs. 2 B and 5 B). As such, the design of delivery vectors is increasingly focusing on materials that will aid in the escape from endosomes (15
,25
27
).
Another factor affecting antisense activity is the stability of the particular mRNA target. Genome-wide analyses of mRNA decay have been conducted in some mammalian cells, and these suggest a relatively wide distribution of transcript half-lives in which many mRNAs are stable for hours but some are turned over in as little as 30 min (20
,28
,29
). This particular range of values can have a significant effect on the effectiveness of an antisense treatment (Fig. 8), as those transcripts with short half-lives are already "programmed" to maintain their baseline levels of expression in the presence of the cell's natural degradation processes. As such, it is likely that those genes that are rapidly turned over, such as "early response genes" induced in inflammatory responses, may prove recalcitrant to antisense treatment.
The most easily controlled design variable of an AS ON is its sequence. The ON sequence chosen can have a dramatic effect on its antisense effectiveness, as many target regions of the mRNA are thermodynamically or kinetically inaccessible. Experimental techniques for identifying accessible regions of mRNA, such as oligonucleotide array hybridization and Rnase H mapping, have emerged (30
,31
). Furthermore, computational design approaches based on the structure-dependent thermodynamics of ON-mRNA interaction can be used to select effective AS ONs (9
,32
,33
). As shown by our model simulations and the experimental data of numerous researchers, antisense activity is quite dynamic, and thus hybridization association rate rather than equilibrium governs activity. However, affinity is proportional to association ("on") rate for oligonucleotide-mRNA hybridization (17
), and so algorithms that select for high affinity also select for high association rate. The measured numerical values of association rate are such that they span a range over which little to no activity (at low association rates) to strong and potentially prolonged antisense activity (at high association rate) are predicted (Fig. 6).
The antisense molecule can also be manipulated via its chemistry. Indeed, most efforts to improve the performance of AS ONs have focused on chemical modification, with particular emphasis on nuclease resistance. As can be seen in Fig. 6, ONs with short half-lives have no opportunity to inhibit the target mRNA, and the duration of the antisense effect is dependent on the ON exhibiting extended intracellular stability (in conjunction with the turnover rate of the mRNA as per previous discussion). For most therapeutic applications, a duration of effect of at least days and preferably longer is required. As such, nuclease resistance is a necessary condition for a strong antisense effect, but it is not sufficient because of the sensitive interplay with the hybridization association rate. Thus, a major challenge is designing ON chemistry with improved stability without any significant loss in hybridization association rate (or specificity). Second- and later-generation oligonucleotides such as 2'-O-methyl oligoribonucleotides, C-5 propynylated oligonucleotides, and locked nucleic acids may meet these criteria (34
36
). How these modifications affect delivery and trafficking has been less extensively explored. Modeling frameworks such as the one presented here can be a useful tool in interpreting potential trade-offs among delivery, stability, and hybridization rate.
To be useful, the model should be applicable to a wide variety of cell types and antisense AS ONs. We specifically studied two systems experimentally in our work. Both utilized PS oligodeoxynucleotides, but in one case gp130 was the target mRNA in H35 rat hepatoma cells, and in the other pd1EGFP was the target in CHO cells. A number of parameters in the model may depend on the target and cell type, including the mRNA level and constitutive degradation rate, the adsorption and internalization rates, the lysosomal sorting and endosomal escape rates, and the cytoplasmic degradation/efflux rate. With this number of parameters, the general estimation problem would require a global optimization approach (37
), so we sought the simplest explanation for cell-type differences. Based on the observed dynamics being of longer duration in CHO cells, the cytoplasmic degradation rate was the most logical candidate parameter. Indeed, changing the value of this parameter fourfold from the base case (which was used to simulate gp130 in H35 cells) resulted in excellent agreement for both uptake and activity dynamics in the CHO cells. The dynamics that we observed are in the range observed for other cell culture systems, in which maximum inhibition may occur anywhere from 4 h to 48 h, depending on the ON structure and cell type (38
,39
). Thus, at least for these experimental systems, the model provides a useful construct to understand cell-type differences in antisense behavior.
In summary, our model provides a framework for understanding the interplay of mechanistic events in overall antisense effectiveness. It predicted accurately the timescale and effect of molecular and cellular parameters, including the ON-mRNA hybridization rate and ON degradation rate, on antisense activity. By variation of model parameters, it shows that delivery to the cell is likely not a major barrier to effectiveness, but trafficking, hybridization, and stability within the cell are. AS ONs can be modified primarily through choice of sequence and ON chemistry, and our work provides a framework for rationally designing these. With the advent of RNA interference (RNAi), this framework could be modified to replace ON hybridization and Rnase H-mediated destruction of the mRNA with formation of a RNA-induced silencing complex via short interfering RNA followed by target mRNA degradation (40
,41
). Through a systems understanding of the molecular and cellular processes affecting the activity of oligonucleotides, both in antisense and in RNAi, it should be possible to accelerate their development in a variety of research and applications areas.
| ACKNOWLEDGEMENTS |
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This work was supported in part by The Whitaker Foundation (TF 02-002), the Charles and Johanna Busch Memorial Fund, and National Institutes of Health grant 5 R01 GM65913.
Submitted on November 30, 2004; accepted for publication July 7, 2005.
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