ArticleNature chemistry2012
Non-Markovian polymer reaction kinetics.
Article in Nature chemistry, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Gillespie-based simulation and inference for non-Markovian stochastic reaction networks.Briefings in bioinformatics · 2026Article
- Static three-dimensional structures determine fast dynamics between distal loci pairs in interphase chromosomes.Science advances · 2025Article
- Everlasting impact of initial perturbations on first-passage times of non-Markovian random walks.Nature communications · 2022Article
- Queuing Models of Gene Expression: Analytical Distributions and Beyond.Biophysical journal · 2020Article
- Markovian approaches to modeling intracellular reaction processes with molecular memory.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- Non-Markovian barrier crossing with two-time-scale memory is dominated by the faster memory component.The European physical journal. E, Soft matter · 2019Article
- Survival probability of stochastic processes beyond persistence exponents.Nature communications · 2019Article
- Guidelines for DNA recombination and repair studies: Cellular assays of DNA repair pathways.Microbial cell (Graz, Austria) · 2019Review
- Non-Markovian intracellular transport with sub-diffusion and run-length dependent detachment rate.PloS one · 2018Article
- Specific binding of a polymer chain to a sequence of surface receptors.Scientific reports · 2017Article
- Multi-scale tracking reveals scale-dependent chromatin dynamics after DNA damage.Molecular biology of the cell · 2017Article
- The Emerging Role of the Cytoskeleton in Chromosome Dynamics.Frontiers in genetics · 2017Review
- Article
- Laplacian spectra of a class of small-world networks and their applications.Scientific reports · 2015Article
- High-throughput chromatin motion tracking in living yeast reveals the flexibility of the fiber throughout the genome.Genome research · 2013Article
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3 authors.
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Abstract
Describing the kinetics of polymer reactions, such as the formation of loops and hairpins in nucleic acids or polypeptides, is complicated by the structural dynamics of their chains. Although both intramolecular reactions, such as cyclization, and intermolecular reactions have been studied extensively, both experimentally and theoretically, there is to date no exact explicit analytical treatment of transport-limited polymer reaction kinetics, even in the case of the simplest (Rouse) model of monomers connected by linear springs. We introduce a new analytical approach to calculate the mean reaction time of polymer reactions that encompasses the non-Markovian dynamics of monomer motion. This requires that the conformational statistics of the polymer at the very instant of reaction be determined, which provides, as a by-product, new information on the reaction path. We show that the typical reactive conformation of the polymer is more extended than the equilibrium conformation, which leads to reaction times significantly shorter than predicted by the existing classical Markovian theory.
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