[HTML][HTML] Polymer translocation: the first two decades and the recent diversification

VV Palyulin, T Ala-Nissila, R Metzler - Soft matter, 2014 - pubs.rsc.org
Probably no other field of statistical physics at the borderline of soft matter and biological
physics has caused such a flurry of papers as polymer translocation since the 1994 …

[HTML][HTML] Polymer translocation and nanopore sequencing: a review of advances and challenges

SL Singh, K Chauhan, AS Bharadwaj… - International Journal of …, 2023 - mdpi.com
Various biological processes involve the translocation of macromolecules across
nanopores; these pores are basically protein channels embedded in membranes …

Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation

Y Luchko - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
In this paper, the initial-boundary-value problems for the generalized multi-term time-
fractional diffusion equation over an open bounded domain G×(0, T), G∈ Rn are …

[图书][B] Polymer translocation

M Muthukumar - 2016 - books.google.com
A reflection of the significant advances in the field, this book discusses the macromolecular
basis of polymer translocation that have emerged based on experimentation, new models …

Maximum principle for the generalized time-fractional diffusion equation

Y Luchko - Journal of Mathematical Analysis and Applications, 2009 - Elsevier
In the paper, a maximum principle for the generalized time-fractional diffusion equation over
an open bounded domain G×(0, T), G⊂ Rn is formulated and proved. The proof of the …

[HTML][HTML] Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation

Y Luchko - Computers & Mathematics with Applications, 2010 - Elsevier
In this paper, some uniqueness and existence results for the solutions of the initial-boundary-
value problems for the generalized time-fractional diffusion equation over an open bounded …

Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation

Y Luchko - Fractional Calculus and Applied Analysis, 2012 - Springer
In this paper, some initial-boundary-value problems for the time-fractional diffusion equation
are first considered in open bounded n-dimensional domains. In particular, the maximum …

[PDF][PDF] Boundary value problems for the generalized time-fractional diffusion equation of distributed order

Y Luchko - Fract. Calc. Appl. Anal, 2009 - researchgate.net
In the paper, boundary value problems for the generalized time-fractional diffusion equation
of distributed order over an open bounded domain G×[0, T], G∈ IR are considered. Both …

[HTML][HTML] Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

H Jiang, F Liu, I Turner, K Burrage - Computers & Mathematics with …, 2012 - Elsevier
Multi-term time-fractional differential equations have been used for describing important
physical phenomena. However, studies of the multi-term time-fractional partial differential …

Single-polymer dynamics under constraints: scaling theory and computer experiment

A Milchev - Journal of Physics: Condensed Matter, 2011 - iopscience.iop.org
The relaxation, diffusion and translocation dynamics of single linear polymer chains in
confinement is briefly reviewed with emphasis on the comparison between theoretical …