wanyu/IteraTeR_v2 huggingface dataset:
Original: During endocytosis, the cell membrane deforms  to surround extracellular material and draw it into the cell.
Revised: The cell membrane deforms to surround extracellular material and draw it into the cell.
Edit intent: clarity
Original: During endocytosis, the cell membrane deforms  to surround extracellular material and draw it into the cell.
Revised: During endocytosis, the cell membrane deforms during endocytosis to surround extracellular material and draw it into the cell.
Edit intent: clarity
Original:  Experiments on clathrin-mediated endocytosis in yeast all agree that (i) actin polymerizes into a network of filaments exerting active forces on the membrane to deform it and (ii) the large scale membrane deformation is tubular in shape.
Revised:  Experiments on endocytosis in yeast all agree that (i) actin polymerizes into a network of filaments exerting active forces on the membrane to deform it and (ii) the large scale membrane deformation is tubular in shape.
Edit intent: clarity
Original:  Three competing ideas remain as to precisely how the actin filament network organizes itself to drive the deformation.
Revised:  There are three competing proposals, in contrast, for precisely how the actin filament network organizes itself to drive the deformation.
Edit intent: clarity
Original:  To begin to address this issue, we use variational approaches and numerical simulations to analyze a meso-scale model of clathrin-mediated endocytosis in yeast.
Revised:  We use variational approaches and numerical simulations to analyze a meso-scale model of clathrin-mediated endocytosis in yeast.
Edit intent: coherence
Original:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane  , (ii) the elongationstage , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by a (iii) final pinch-off stage .
Revised:  The meso-scale model breaks up the invagination process into three stages: (i) initiation , where clathrin interacts with the membrane , (ii) the elongationstage , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by a (iii) final pinch-off stage .
Edit intent: fluency
Original:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane  , (ii) the elongationstage , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by a (iii) final pinch-off stage .
Revised:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane , (ii) elongation , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by a (iii) final pinch-off stage .
Edit intent: fluency
Original:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane  , (ii) the elongationstage , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by a (iii) final pinch-off stage .
Revised:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane , (ii) the elongationstage , where the membrane is then further deformed by polymerizing actin filaments, followed by a (iii) final pinch-off stage .
Edit intent: clarity
Original:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane  , (ii) the elongationstage , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by a (iii) final pinch-off stage .
Revised:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane , (ii) the elongationstage , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by (iii) final pinch-off stage .
Edit intent: fluency
Original:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane  , (ii) the elongationstage , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by a (iii) final pinch-off stage .
Revised:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane , (ii) the elongationstage , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by a (iii) pinch-off stage .
Edit intent: clarity
Original:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane  , (ii) the elongationstage , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by a (iii) final pinch-off stage .
Revised:  The meso-scale model breaks up the invagination process into three stages: (i) the initiationstage , where clathrin interacts with the membrane , (ii) the elongationstage , where the membrane is then pulled and/or squeezed via polymerizing actin filaments, followed by a (iii) final pinch-off .
Edit intent: fluency
Original:  Our results suggest that the pinch-off mechanism is assisted by a pearling-like instability.
Revised:  Our results suggest that the pinch-off mechanism may be assisted by a pearling-like instability.
Edit intent: clarity
Original:  In addition, we potentially rule out two of the three competing models for the organization of the actin filament network during the elongation stage.
Revised:  We rule out two of the three competing models for the organization of the actin filament network during the elongation stage.
Edit intent: coherence
Original:  In addition, we potentially rule out two of the three competing models for the organization of the actin filament network during the elongation stage.
Revised:  In addition, we potentially rule out two of the three competing proposals for the organization of the actin filament network during the elongation stage.
Edit intent: clarity
Original:  These two models could possibly be important in the pinch-off stage, however, where  actin polymerization helps break off the vesicle.
Revised:  These two proposals could possibly be important in the pinch-off stage, however, where actin polymerization helps break off the vesicle.
Edit intent: clarity
Original:  Implications and comparisons with earlier modeling of clathrin-mediated endocytosis in yeast is discussed.
Revised:  Implications and comparisons with earlier modeling of endocytosis in yeast is discussed.
Edit intent: clarity
Original:  Implications and comparisons with earlier modeling of clathrin-mediated endocytosis in yeast is discussed.
Revised:  Implications and comparisons with earlier modeling of clathrin-mediated endocytosis in yeast are discussed.
Edit intent: fluency
Original: Transcription of genes by RNA polymerase molecules is the focus of most forms of regulation of gene expression.
Revised: Transcription of genes is the focus of most forms of regulation of gene expression.
Edit intent: clarity
Original:  Even though careful biochemical experimentation has revealed the molecular mechanisms of transcriptional regulation for a number of different promoters in vitro, the question of how transcription is regulated in live cells is still poorly understood.
Revised:  Even though careful biochemical experimentation has revealed the molecular mechanisms of transcriptional regulation for a number of different promoters in vitro, the dynamics of this process in cells is still poorly understood.
Edit intent: clarity
Original:  In particular, we derive exact expressions for the first two moments of the distribution of nascent RNA molecules for an arbitrary mechanism of transcription initiation.
Revised:  We derive exact expressions for the first two moments of the distribution of nascent RNA molecules for an arbitrary mechanism of transcription initiation.
Edit intent: coherence
Original:  These theoretical results are applied to published data on the nascent RNA distributions obtained for a collection of constitutively expressed yeast genes.
Revised:  These theoretical results are applied to published data for a collection of constitutively expressed yeast genes.
Edit intent: clarity
Original:  We find that the data is not consistent with a one-step mechanism of initiation , which has been generally assumed .
Revised:  We find that the measured nascent RNA distributions are inconsistent with transcription initiation proceeding via one rate-limiting step , which has been generally assumed .
Edit intent: clarity
Original:  Instead,  a two-step mechanism of initiation with both steps of equal duration is consistent with the available data.
Revised:  Instead, we propose a two-step mechanism of initiation with both steps of equal duration is consistent with the available data.
Edit intent: coherence
Original:  Instead,  a two-step mechanism of initiation with both steps of equal duration is consistent with the available data.
Revised:  Instead, a two-step mechanism of initiation , which is consistent with the available data.
Edit intent: coherence
Original: We present an algorithmic framework for producing Delaunay triangulations of manifolds.
Revised: We present an algorithm for producing Delaunay triangulations of manifolds.
Edit intent: clarity
Original:  The guarantee of a manifold output complex demands no smoothness requirement on the transition functions , beyond the bi-Lipschitz constraint.
Revised:  The guarantee of a manifold output complex demands no smoothness requirement on the transition functions are bi-Lipschitz constraint.
Edit intent: clarity
Original:  In the smooth setting, when the transition functions are defined by common coordinate charts, such as the exponential map on a Riemannian manifold, the output manifoldis homeomorphic to the  original manifold , when the sampling is sufficiently dense .
Revised:  In the smooth setting, when the transition functions are smooth, the original manifold , when the sampling is sufficiently dense .
Edit intent: clarity
Original:  Idiosyncratic effects mean that no single measure makes assets and derivatives martingales for all market participants.
Revised:  Idiosyncratic effects mean that no single measure makes derivatives martingales for all market participants.
Edit intent: clarity
Original:  Hence the market has no risk-neutral measure and Regulatory-compliant derivatives pricing is not risk-neutral.
Revised:  Hence Regulatory-compliant derivatives pricing is not risk-neutral.
Edit intent: coherence
Original:  Hence the market has no risk-neutral measure and Regulatory-compliant derivatives pricing is not risk-neutral.
Revised:  Hence the market has no risk-neutral measure and Regulatory-compliant pricing is not risk-neutral.
Edit intent: clarity
Original:  The bijection allows to either reduce the topological genus of an RNA-RNA interaction structure directly, or to loose connectivity by decomposing the complex into a pair of single stranded RNA structures.
Revised:  The bijection allows to either reduce the topological genus of a bicellular map directly, or to loose connectivity by decomposing the complex into a pair of single stranded RNA structures.
Edit intent: clarity
Original:  The bijection allows to either reduce the topological genus of an RNA-RNA interaction structure directly, or to loose connectivity by decomposing the complex into a pair of single stranded RNA structures.
Revised:  The bijection allows to either reduce the topological genus of an RNA-RNA interaction structure directly, or to lose connectivity by decomposing the complex into a pair of single stranded RNA structures.
Edit intent: fluency
Original:  One recent significant result, for example, is that the equivalence problem of deterministic one-way CAs is NL-complete Stanislav B\"{ohm, Stefan G\"{o}ller, Petr Jancar.
Revised:  One recent significant result, for example, is that the equivalence problem of deterministic one-way CAs is NL-complete hm, Stefan G\"{o}ller, Petr Jancar.
Edit intent: clarity
Original:  Up to our knowledge, the only known unary non-regular languages recognized by 1ACAs and 2CAs are formed by the strings with exponential lengths .
Revised:  Up to our knowledge, the only known unary nonregular languages recognized by 1ACAs and 2CAs are formed by the strings with exponential lengths .
Edit intent: fluency
Original: We demonstrate a vast expansion of the theory of evolutionary stability to finite populations with mutation, connecting the theory of the stationary distribution of the Moran process with the Lyapunov theory of evolution stability.
Revised: We demonstrate a vast expansion of the theory of evolutionary stability to finite populations with mutation, connecting the theory of the stationary distribution of the Moran process with the Lyapunov theory of evolutionary stability.
Edit intent: fluency
Original:  We show that, for sufficiently large populations, that extrema of the stationary distribution are ISS candidates and we give  family of Lyapunov quantities that are locally minimized at the stationary extrema and at ISS candidates.
Revised:  We show that, for sufficiently large populations, extrema of the stationary distribution are ISS candidates and we give family of Lyapunov quantities that are locally minimized at the stationary extrema and at ISS candidates.
Edit intent: fluency
Original:  We show that, for sufficiently large populations, that extrema of the stationary distribution are ISS candidates and we give  family of Lyapunov quantities that are locally minimized at the stationary extrema and at ISS candidates.
Revised:  We show that, for sufficiently large populations, that extrema of the stationary distribution are ISS candidates and we give a family of Lyapunov quantities that are locally minimized at the stationary extrema and at ISS candidates.
Edit intent: fluency
Original:  In various examples, including  the Moran and Wright-Fisher processes, we show that the local maxima of the stationary distribution capture the traditionally-defined evolutionarily stable states.
Revised:  In various examples, including for the Moran and Wright-Fisher processes, we show that the local maxima of the stationary distribution capture the traditionally-defined evolutionarily stable states.
Edit intent: clarity
Original:  Finally, we show that the classical stability theory of the replicator dynamic is recovered in the large population limit.
Revised:  The classical stability theory of the replicator dynamic is recovered in the large population limit.
Edit intent: coherence
Original:  We also describe possible extensions to populations of variable size and populations evolving on graphs.
Revised:  Finally we include descriptions of possible extensions to populations of variable size and populations evolving on graphs.
Edit intent: clarity
Original:  Their implementation on neuromorphic hardware platforms emulating large-scale networks of spiking neurons can have ignificant advantages from the perspectives of scalability, power dissipation and real-time interfacing with the environment.
Revised:  Their implementation on neuromorphic hardware platforms emulating large-scale networks of spiking neurons can have significant advantages from the perspectives of scalability, power dissipation and real-time interfacing with the environment.
Edit intent: fluency
Original:  However the traditional RBM architecture and the commonly used training algorithm known as Contrastive Divergence (CD) are based on discrete updates and exact arithmetics which do not directly map onto a dynamical neural sub strate .
Revised:  However the traditional RBM architecture and the commonly used training algorithm known as Contrastive Divergence (CD) are based on discrete updates and exact arithmetics which do not directly map onto a dynamical neural substrate .
Edit intent: fluency
Original: We consider a semiparametric modeling approach for capture-recapture-recovery data where the temporal and/or individual variation of model parameters - usually the demographic parameters - is explained via covariates.
Revised: We discuss the semiparametric modeling of mark-recapture-recovery data where the temporal and/or individual variation of model parameters - usually the demographic parameters - is explained via covariates.
Edit intent: clarity
Original: We consider a semiparametric modeling approach for capture-recapture-recovery data where the temporal and/or individual variation of model parameters - usually the demographic parameters - is explained via covariates.
Revised: We consider a semiparametric modeling approach for capture-recapture-recovery data where the temporal and/or individual variation of model parameters is explained via covariates.
Edit intent: coherence
Original:  In this paper, we specify the relationship via the use of penalized splines, to allow for considerably more flexible functional forms.
Revised:  In this paper, we discuss the modeling of the relationship via the use of penalized splines, to allow for considerably more flexible functional forms.
Edit intent: clarity
Original:  Corresponding models can be fitted via numerical maximum penalized likelihood estimation, employing cross-validation to choose the smoothness parameters in a data-driven way.
Revised:  Corresponding models can be fitted via numerical maximum penalized likelihood estimation, employing cross-validation to choose the smoothing parameters in a data-driven way.
Edit intent: clarity
Original:  Our work builds on and extends the existing literature, providing a unified and general inferential framework for semiparametric capture-recapture models .
Revised:  Our contribution builds on and extends the existing literature, providing a unified and general inferential framework for semiparametric capture-recapture models .
Edit intent: clarity
Original:  Our work builds on and extends the existing literature, providing a unified and general inferential framework for semiparametric capture-recapture models .
Revised:  Our work builds on and extends the existing literature, providing a unified inferential framework for semiparametric capture-recapture models .
Edit intent: clarity
Original:  Given a graph G, we say that a subgraph H of G is a model of \theta _r in G if H contains \theta _r as a contraction.
Revised:  Given a graph G, we say that a subgraph H of G is a model of \theta _{r in G if H contains \theta _r as a contraction.
Edit intent: fluency
Original:  Given a graph G, we say that a subgraph H of G is a model of \theta _r in G if H contains \theta _r as a contraction.
Revised:  Given a graph G, we say that a subgraph H of G is a model of \theta _r in G if H contains \theta _{r as a contraction.
Edit intent: fluency
Original:  We prove that the following edge variant of the Erd \H{os-P\'osa }  {  property holds for every r\geq 2: if G is a graph and k is a positive integer, then either G contains a packing of k mutually edge-disjoint models of \theta _r , or it contains a set S of O(r^3k^3 ) edges meeting all models of \theta _r in G in G, for both f_r(k) = O(k^2r^3 \mathrm{polylog}~kr) and f_r(k) = O(k^4r^2 \mathrm{polylog}~kr)} .
Revised:  We prove that the following edge variant of the Erd s-P\'osa } { property holds for every r\geq 2: if G is a graph and k is a positive integer, then either G contains a packing of k mutually edge-disjoint models of \theta _r , or it contains a set S of O(r^3k^3 ) edges meeting all models of \theta _r in G in G, for both f_r(k) = O(k^2r^3 \mathrm{polylog}~kr) and f_r(k) = O(k^4r^2 \mathrm{polylog}~kr)} .
Edit intent: clarity
Original:  We prove that the following edge variant of the Erd \H{os-P\'osa }  {  property holds for every r\geq 2: if G is a graph and k is a positive integer, then either G contains a packing of k mutually edge-disjoint models of \theta _r , or it contains a set S of O(r^3k^3 ) edges meeting all models of \theta _r in G in G, for both f_r(k) = O(k^2r^3 \mathrm{polylog}~kr) and f_r(k) = O(k^4r^2 \mathrm{polylog}~kr)} .
Revised:  We prove that the following edge variant of the Erd \H{os-P\'osa } { sa property holds for every r\geq 2: if G is a graph and k is a positive integer, then either G contains a packing of k mutually edge-disjoint models of \theta _r , or it contains a set S of O(r^3k^3 ) edges meeting all models of \theta _r in G in G, for both f_r(k) = O(k^2r^3 \mathrm{polylog}~kr) and f_r(k) = O(k^4r^2 \mathrm{polylog}~kr)} .
Edit intent: fluency
Original:  Using 25,432 genotyped European individuals , and exploiting known familial relationships in 2,952 father-mother-child trios contained therein, we identify a false positive rate over 67\% for short ( 2-4 centiMorgan ) segments.
Revised:  Using 25,432 genotyped European individuals containing 2,952 father-mother-child trios contained therein, we identify a false positive rate over 67\% for short ( 2-4 centiMorgan ) segments.
Edit intent: clarity
Original:  Using 25,432 genotyped European individuals , and exploiting known familial relationships in 2,952 father-mother-child trios contained therein, we identify a false positive rate over 67\% for short ( 2-4 centiMorgan ) segments.
Revised:  Using 25,432 genotyped European individuals , and exploiting known familial relationships in 2,952 father-mother-child trios contained therein, we identify a false positive rate over 67\% for 2-4 centiMorgan ) segments.
Edit intent: clarity
Original: We analyze the problem of zero-error communication through certain timing channels that can be interpreted as discrete-time queues with bounded waiting times.
Revised: We analyze the problem of zero-error communication through timing channels that can be interpreted as discrete-time queues with bounded waiting times.
Edit intent: clarity
Original:  These timing channels are partly motivated by settings in which  communication is done with rather unconventional physical carriers, such as particles, molecules, items, etc.
Revised:  These channels are partly motivated by settings in which communication is done with rather unconventional physical carriers, such as particles, molecules, items, etc.
Edit intent: clarity
Original:  These timing channels are partly motivated by settings in which  communication is done with rather unconventional physical carriers, such as particles, molecules, items, etc.
Revised:  These timing channels are partly motivated by settings in which the communication is done with rather unconventional physical carriers, such as particles, molecules, items, etc.
Edit intent: clarity
Original:  The channel model includes the following assumptions: 1)  at most N "particles" are sent in each time slot, 2 ) every particle is delayed in the channel for a number of slots chosen randomly from the set \{0, 1, \ldots, K\} , and 3 ) the particles are indistinguishable, and hence the information is conveyed via the number of particles in each slot only .
Revised:  The channel model includes the following assumptions: 1) at most N "particles" are sent in each time slot, 3 ) every particle is delayed in the channel for a number of slots chosen randomly from the set \{0, 1, \ldots, K\} , and 3 ) the particles are indistinguishable, and hence the information is conveyed via the number of particles in each slot only .
Edit intent: fluency
Original:  The channel model includes the following assumptions: 1)  at most N "particles" are sent in each time slot, 2 ) every particle is delayed in the channel for a number of slots chosen randomly from the set \{0, 1, \ldots, K\} , and 3 ) the particles are indistinguishable, and hence the information is conveyed via the number of particles in each slot only .
Revised:  The channel model includes the following assumptions: 1) at most N "particles" are sent in each time slot, 2 ) every particle is delayed in the channel for a number of slots chosen randomly from the set \{0, 1, \ldots, K\} , and 3 ) the particles are identical .
Edit intent: coherence