wanyu/IteraTeR_full_sent huggingface dataset:
Original:  The method is shown to be able to correlate sequences with function in the human proteome database,  and might find other useful applications for structure discovery also in computational linguistics, in the analysis of time series, and in the theory of dynamical systems .
Revised:  The method is shown to be able to correlate sequences with function in the human proteome database, to detect hot topics from online social dialogs, to characterize trajectories of dynamical systems, and might find other useful applications for structure discovery also in computational linguistics, in the analysis of time series, and in the theory of dynamical systems .
Edit intent: meaning-changed
Original: Switching and bistability has been recognized as an important feature of dynamical systems originating in Systems Biology. In the majority of cases bistability of the dynamical system is established numerically.
Revised: Many biochemical processes can successfully be described by dynamical systems allowing some form of switching when, depending on their initial conditions, solutions of the dynamical system end up in different regions of state space (associated with different biochemical functions). Switching is often realized by a bistable system (i.e. a dynamical system allowing two stable steady state solutions) and, in the majority of cases bistability of the dynamical system is established numerically.
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Original:  However, parameter uncertainty is a predominant issue in Systems Biology : the dynamical systems consist of a large number of states and parameters, while measurement data are often very noisy and data points and repetitions are usually few.
Revised:  In our point of view this approach is too restrictive, as, one the one hand, due to predominant parameter uncertainty numerical methods are generally difficult to apply to realistic models originating in Systems Biology : the dynamical systems consist of a large number of states and parameters, while measurement data are often very noisy and data points and repetitions are usually few.
Edit intent: meaning-changed
Original:  However, parameter uncertainty is a predominant issue in Systems Biology : the dynamical systems consist of a large number of states and parameters, while measurement data are often very noisy and data points and repetitions are usually few. Hence techniques allowing the analytic computation of parameter vectors where a given system exhibits bistability are desirable. Here we present a new sufficient condition for a large class of mass action networks. This condition takes the form of linear inequality systems. And it is constructive in the sense that solutions to one of the inequality systems determine state and parameter vectors where the underlying mass action systems -- under explicitly stated genericity conditions -- undergo a saddle-node bifurcation  .
Revised:  However, parameter uncertainty is a predominant issue in Systems Biology . And on the other hand switching already arises with the occurrence of a saddle type steady state (characterized by a Jacobian where exactly one Eigenvalue is positive and the remaining eigenvalues have negative real part). Consequently we derive conditions based on linear inequalities that allow the analytic computation of states and parameters where the Jacobian derived from a mass action network has a defective zero eigenvalue so that -- under explicitly stated genericity conditions -- undergo a saddle-node bifurcation .
Edit intent: meaning-changed
Original:  And it is constructive in the sense that solutions to one of the inequality systems determine state and parameter vectors where the underlying mass action systems -- under explicitly stated genericity conditions -- undergo a saddle-node bifurcation  .
Revised:  And it is constructive in the sense that solutions to one of the inequality systems determine state and parameter vectors where the underlying mass action systems -- under certain genericity conditions -- undergo a saddle-node bifurcation .
Edit intent: clarity
Original:  And it is constructive in the sense that solutions to one of the inequality systems determine state and parameter vectors where the underlying mass action systems -- under explicitly stated genericity conditions -- undergo a saddle-node bifurcation  .
Revised:  And it is constructive in the sense that solutions to one of the inequality systems determine state and parameter vectors where the underlying mass action systems -- under explicitly stated genericity conditions -- a saddle-node bifurcation .
Edit intent: clarity
Original:  And it is constructive in the sense that solutions to one of the inequality systems determine state and parameter vectors where the underlying mass action systems -- under explicitly stated genericity conditions -- undergo a saddle-node bifurcation  .
Revised:  And it is constructive in the sense that solutions to one of the inequality systems determine state and parameter vectors where the underlying mass action systems -- under explicitly stated genericity conditions -- undergo a saddle-node bifurcation occurs. Our conditions are applicable to general mass action networks involving at least one conservation relation, however, they are only sufficient (as infeasibility of linear inequalities does not exclude defective zero eigenvalues) .
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Original: The constraints imposed by nano- and microscale confinement on the conformational degrees of freedom of thermally fluctuating biopolymers is utilized in contemporary nano-devices to specifically elongate and manipulate single chains.
Revised: The constraints imposed by nano- and microscale confinement on the conformational degrees of freedom of thermally fluctuating biopolymers are utilized in contemporary nano-devices to specifically elongate and manipulate single chains.
Edit intent: fluency
Original: We emphasize that assuming the ]  existence of an elongated, hybridized form of DNA ('S-DNA') does not immediately imply DNA overstretching to consist of the complete or near-complete conversion of the molecule from B- to S-form.
Revised: Recent experiments ] existence of an elongated, hybridized form of DNA ('S-DNA') does not immediately imply DNA overstretching to consist of the complete or near-complete conversion of the molecule from B- to S-form.
Edit intent: clarity
Original: We emphasize that assuming the ]  existence of an elongated, hybridized form of DNA ('S-DNA') does not immediately imply DNA overstretching to consist of the complete or near-complete conversion of the molecule from B- to S-form.
Revised: We emphasize that assuming the J. van Mameren et al. PNAS 106, 18231 (2009)] existence of an elongated, hybridized form of DNA ('S-DNA') does not immediately imply DNA overstretching to consist of the complete or near-complete conversion of the molecule from B- to S-form.
Edit intent: meaning-changed
Original: We emphasize that assuming the ]  existence of an elongated, hybridized form of DNA ('S-DNA') does not immediately imply DNA overstretching to consist of the complete or near-complete conversion of the molecule from B- to S-form.
Revised: We emphasize that assuming the ] provide a detailed spatial picture of overstretched DNA, showing that under certain conditions the two strands of the double helix separate at about 65 pN. It was proposed that this observation rules out the existence of an elongated, hybridized form of DNA ('S-DNA') does not immediately imply DNA overstretching to consist of the complete or near-complete conversion of the molecule from B- to S-form.
Edit intent: meaning-changed
Original: We emphasize that assuming the ]  existence of an elongated, hybridized form of DNA ('S-DNA') does not immediately imply DNA overstretching to consist of the complete or near-complete conversion of the molecule from B- to S-form.
Revised: We emphasize that assuming the ] existence of an elongated, hybridized form of DNA ('S-DNA') . Here we argue that the S-DNA picture is consistent with the observation of unpeeling during overstretching. We demonstrate that assuming the existence of S-DNA does not imply DNA overstretching to consist of the complete or near-complete conversion of the molecule from B- to S-form.
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Original:  The analytical solution for this case can be used to study the properties of the conditional loss distributions and to discuss how they relate to the identification of risk concentrations .
Revised:  The analytical solution for this case can be used to study the properties of the conditional loss distribution whereby the unconditional model is run with stressed input probabilities of default (PDs). It turns out that this approximation is unbiased. Numerical examples, however, suggest that the approximation may be seriously inaccurate but that the inaccuracy leads to overestimation of tail losses and hence the approach errs on the conservative side .
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Original:  The obtained closed formulas fit well the historical data on global corporate defaults and demonstrate the split behavior of credit spreads for bonds  in different categories of speculative-grade ratings with varying  time to maturity.
Revised:  The obtained closed formulas fit well the historical data on global corporate defaults and demonstrate the split behavior of credit spreads for bonds in different categories of speculative-grade ratings with varying time to maturity. Introduction of the finite rate of default at the boundary improves valuation of credit risk for short time horizons, which is the key advantage of the proposed model. We also consider the influence of uncertainty in the initial distance to the default barrier on the outcome of the model and demonstrate that this additional source of incomplete information may be responsible for non-zero credit spreads for bonds with very short time to maturity.
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Original:  If peers depart after obtaining a complete collection, they can tend to leave before helping other peers receive the rare piece  .
Revised:  If peers depart after obtaining a complete collection, they can tend to leave before helping other peers receive the rare piece . Assuming that peers arrive with no pieces, there is a single seed, random peer contacts are made, random useful pieces are downloaded, and peers depart upon receiving the complete file, the system is stable if the seeding rate (in pieces per time unit) is greater than the arrival rate, and is unstable if the seeding rate is less than the arrival rate. The result persists for any piece selection policy that selects from among useful pieces, such as rarest first, and it persists with the use of network coding .
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Original: Gene expression is an inherently noisy process capable of displaying phenotypic variation despite constant environmental conditions. This stochastic behavior results from fluctuations in the transcription and translation of genes between identical cells . DNA looping, which is a common means of regulating transcription, is very much a stochastic process;
Revised: Living cells provide a fluctuating, out-of-equilibrium environment in which genes must coordinate cellular function . DNA looping, which is a common means of regulating transcription, is very much a stochastic process;
Edit intent: clarity
Original:  We show that loop formation is greatly enhanced in the presence of noise  , yet find that hypothetical regulatory schemes that employ mechanical tension in the DNA--as a sensitive switch to control transcription--can be surprisingly robust due to a fortuitous cancellation of noise effects.
Revised:  We show that loop formation is greatly enhanced in the presence of noise of only a fraction of k_B T , yet find that hypothetical regulatory schemes that employ mechanical tension in the DNA--as a sensitive switch to control transcription--can be surprisingly robust due to a fortuitous cancellation of noise effects.
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Original:  We observe the performances of three strategy evaluation schemes, which are the history-dependent wealth game, the trend-opposing minority game, and the trend-following majority game  in a stock market where the price is exogenously determined.
Revised: Strategy evaluation schemes are a crucial factor in any agent-based market model, as they determine the agents' strategy preferences and consequently their behavioral pattern. This study investigates how the strategy evaluation schemes adopted by agents affect their performance in conjunction with the market circumstances. We observe the performances of three strategy evaluation schemes, which are the history-dependent wealth game, the trend-opposing minority game, and the trend-following majority game in a stock market where the price is exogenously determined.
Edit intent: coherence
Original:  We observe the performances of three strategy evaluation schemes, which are the history-dependent wealth game, the trend-opposing minority game, and the trend-following majority game  in a stock market where the price is exogenously determined.
Revised:  We observe the performance of three strategy evaluation schemes, which are the history-dependent wealth game, the trend-opposing minority game, and the trend-following majority game in a stock market where the price is exogenously determined.
Edit intent: fluency
Original:  We observe the performances of three strategy evaluation schemes, which are the history-dependent wealth game, the trend-opposing minority game, and the trend-following majority game  in a stock market where the price is exogenously determined.
Revised:  We observe the performances of three strategy evaluation schemes, the history-dependent wealth game, the trend-opposing minority game, and the trend-following majority game in a stock market where the price is exogenously determined.
Edit intent: coherence
Original:  We observe the performances of three strategy evaluation schemes, which are the history-dependent wealth game, the trend-opposing minority game, and the trend-following majority game  in a stock market where the price is exogenously determined.
Revised:  We observe the performances of three strategy evaluation schemes, which are the history-dependent wealth game, the trend-opposing minority game, and the trend-following majority game , in a stock market where the price is exogenously determined.
Edit intent: fluency
Original:  The price is either directly adopted from the real stock market indices or generated with the Markov chain of order \le 2. Each scheme's success is quantified by average wealth accumulated by the traders equipped with the scheme.
Revised:  The price is either directly adopted from the real stock market indices or generated with a Markov chain of order \le 2. Each scheme's success is quantified by average wealth accumulated by the traders equipped with the scheme.
Edit intent: fluency
Original:  The fact that, the wavelets belonging to the Daubechies' (Db) basis enables one to isolate local polynomial trends of different degrees, plays the key role in isolating fluctuations at different scales.  behavior \mbox{%DIFAUXCMD hes5 }0pt%DIFAUXCMD of the fluctuations starting with high frequency fluctuations.
Revised:  The fact that, the wavelets belonging to the Daubechies' (Db) basis enables one to isolate local polynomial trends of different degrees, plays the key role in isolating fluctuations at different scales. One of the primary motivations of this work is to study the emergence of the k^{-3 behavior \mbox{%DIFAUXCMD hes5 }0pt%DIFAUXCMD of the fluctuations starting with high frequency fluctuations.
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Original:  Here we study the quantitative relation between adaptive response and background compensation within the frameworkof mathematical models. We show that any particular type of adaptive response is neither sufficient nor necessary for an effective adaptive enlargement of dynamic range.
Revised:  Here we study the quantitative relation between adaptive response and background compensation within a modeling framework. In contrast to the commonly held view, we show that any particular type of adaptive response is neither sufficient nor necessary for an effective adaptive enlargement of dynamic range.
Edit intent: clarity
Original:  We propose that a general mechanism for adaptive dynamic range enlargement comes about from the activity-dependent modulation of protein responsiveness by multiple biochemical modification  .
Revised:  In particular a precise adaptive response, where system activity is maintained at a constant level at steady state, does not ensure a large dynamic range neither in input signal nor in system output. A general mechanism for adaptive dynamic range enlargement comes about from the activity-dependent modulation of protein responsiveness by multiple biochemical modification .
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Original:  Our approach enables us to attain a twofold goal. Firstly it yields a simple interpretation of  solvent viscosity dependence for enzymatic/protein reactions that requires neither a modification of the Kramers' theory nor that of the Stokes law.
Revised:  Our approach enables us to attain a twofold purpose. On the one hand it yields a simple interpretation of solvent viscosity dependence for enzymatic/protein reactions that requires neither a modification of the Kramers' theory nor that of the Stokes law.
Edit intent: clarity
Original:  This model is solvable using the theory of branching processes and the mean-field approximation  and displays a power-law cascade-size distribution-similar to the empirically observed one-over a wide range of parameters .
Revised:  This model is solvable using the theory of branching processes and the mean-field approximation . For a wide range of parameters, the system is in a critical state and displays a power-law cascade-size distribution-similar to the empirically observed one-over a wide range of parameters .
Edit intent: meaning-changed
Original:  This model is solvable using the theory of branching processes and the mean-field approximation  and displays a power-law cascade-size distribution-similar to the empirically observed one-over a wide range of parameters .
Revised:  This model is solvable using the theory of branching processes and the mean-field approximation and displays a power-law cascade-size distribution similar to the empirically observed one-over a wide range of parameters .
Edit intent: fluency
Original:  This model is solvable using the theory of branching processes and the mean-field approximation  and displays a power-law cascade-size distribution-similar to the empirically observed one-over a wide range of parameters .
Revised:  This model is solvable using the theory of branching processes and the mean-field approximation and displays a power-law cascade-size distribution-similar to the empirically observed one. We further generalize the model to reproduce volatility clustering and other observed properties of real stocks .
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Original: A general procedure to compute the output distribution D for certain nonlinear operators S (so called erosion-dilation cascades) is given. A refinement of the procedure yields D for some important LULU-operators S. Properties of D can also be used to characterize smoothing properties of a nonlinear operator S.
Revised: A general procedure to compute the output distribution D for certain nonlinear operators S (so called erosion-dilation cascades) are given. One rests on the disjunctive normal form of S and also yields the rank selection probabilities. The other is based on inclusion-exclusion and e.g. yields phi_S for some important LULU-operators S. Properties of D can also be used to characterize smoothing properties of a nonlinear operator S.
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Original:  To study the exact valuation of options on the discrete realized varianceitself, we then propose a novel approach that allows to apply Fourier-Laplace techniques to price European-style options efficiently.
Revised:  Subsequently, we propose two new methods to evaluate the price of options on the discrete realized varianceitself, we then propose a novel approach that allows to apply Fourier-Laplace techniques to price European-style options efficiently.
Edit intent: meaning-changed
Original:  To study the exact valuation of options on the discrete realized varianceitself, we then propose a novel approach that allows to apply Fourier-Laplace techniques to price European-style options efficiently.
Revised:  To study the exact valuation of options on the discretely sampled realized variance. One of the methods is approximative; it is based on correcting prices of options on quadratic variation by our asymptotic results. The other method is exact; it uses a novel randomization approach and applies Fourier-Laplace techniques to price European-style options efficiently.
Edit intent: meaning-changed
Original:  To study the exact valuation of options on the discrete realized varianceitself, we then propose a novel approach that allows to apply Fourier-Laplace techniques to price European-style options efficiently. To illustrate our results , we also present some numerical examples.
Revised:  To study the exact valuation of options on the discrete realized varianceitself, we then propose a novel approach that allows to apply Fourier-Laplace techniques . We compare the methods and illustrate our results , we also present some numerical examples.
Edit intent: meaning-changed
Original:  In this paper we show analytically and through simulations that the incoherent version of this motif can couple the fine-tuning of  target protein level with an efficient noise control, thus conferring precision and stability to the overall gene expression program, especially in the presence of fluctuations in upstream regulators.
Revised:  In this paper we show analytically and through simulations that the incoherent version of this motif can couple the fine-tuning of a target protein level with an efficient noise control, thus conferring precision and stability to the overall gene expression program, especially in the presence of fluctuations in upstream regulators.
Edit intent: fluency
Original:  This feature is coherent with the expected fine-tuning function and in agreement with experimental observations of the actual impact of a wide class of microRNAs on the protein output of their targets  .
Revised:  This feature is coherent with the expected fine-tuning function and in agreement with experimental observations of the actual impact of a wide class of microRNAs on the protein output of their targets . Finally we describe the impact on noise-buffering efficiency of the cross-talk between microRNA targets that can naturally arise if the microRNA-mediated circuit is not considered as isolated, but embedded in a larger network of regulations .
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Original:  However, more interestingly, the improvement in blocking probability per shared channel for load balanced users is maximized at an intermediate number of shared channels as opposed to the maximum number of these shared resources  .
Revised:  However, more interestingly, the improvement in blocking probability per shared channel for load balanced users is maximized at an intermediate number of shared channels as opposed to the maximum number of these shared resources . This occurs because a balance is achieved between the number of users requesting connections and those that are already admitted to the network. Our analysis proves that cellular network operators can control the manner in which traffic is offloaded between neighboring cells by simply manipulating the length of the random access phase .
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