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Analytical and numerical studies of sequence dependence of passage times for translocation of heterobiopolymers through nanopores

Haji Abdolvahab, R ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1063/1.3040267
  3. Publisher: 2008
  4. Abstract:
  5. We consider chaperone-assisted translocation of biopolymers with two distinct monomers or bases A and B, with the size of the chaperones being λα, where α is a monomer's size. The probability that A and B are neighbors in the biopolymer is PAB. A master equation is used, together with the detailed-balanced condition, in order to derive analytical results for the statistics of the first-passage times of the biopolymer as a function of PAB, λ, and the biopolymer's configuration. Monte Carlo simulations have also been carried out in order to compute the same quantities for biopolymers with 100-900 monomers and several λ. The results indicate nontrivial dependence of the variance of the translocation times on the biopolymer's composition. It is also shown that measurements of the first two moments of the biopolymer's first-passage time distribution provide information on its length and ordering. Moreover, the probability density function Q (t) of the first-passage times is almost Gaussian for small chaperone size λ, but becomes non-Gaussian as λ increases. At large times, Q (t) decays exponentially. © 2008 American Institute of Physics
  6. Keywords:
  7. Biomolecules ; Biopolymers ; Monomers ; Monte Carlo methods ; Numerical analysis ; Polymers ; Probability ; Probability distributions ; Trellis codes ; Analytical results ; Gaussian ; Master equations ; Monte Carlo simulations ; Nontrivial dependences ; Numerical studies ; Passage time distributions ; Passage times ; Probability densities ; Translocation times ; Probability density function ; Biopolymer ; Nanomaterial ; Biological model ; Chemistry ; Metabolism ; Monte Carlo method ; Time ; Models, Biological ; Nanostructures ; Nanotechnology ; Porosity ; Probability ; Quantum Theory ; Time Factors
  8. Source: Journal of Chemical Physics ; Volume 129, Issue 23 , 2008 ; 00219606 (ISSN)
  9. URL: https://aip.scitation.org/doi/abs/10.1063/1.3040267?journalCode=jcp