Brownian Motion of Lattice‐Model Polymer Chains

1969 ◽  
Vol 50 (9) ◽  
pp. 4008-4013 ◽  
Author(s):  
Kazuyoshi Iwata ◽  
Michio Kurata
Keyword(s):  
Brownian Motion ◽  
Lattice Model ◽  
Polymer Chains

scholarly journals Approximation Simulation of Dynamics of Lattice Model for Comb Polymer Chains

1994 ◽  
Vol 26 (9) ◽  
pp. 1063-1069
Author(s):  
Linxi Zhang ◽  
Jianmin Xu ◽  
Longshao Zhao
Keyword(s):  
Lattice Model ◽  
Polymer Chains ◽  
Comb Polymer

scholarly journals Transitions of tethered polymer chains: A simulation study with the bond fluctuation lattice model

2008 ◽  
Vol 128 (6) ◽  
pp. 064903 ◽  
Author(s):  
Jutta Luettmer-Strathmann ◽  
Federica Rampf ◽  
Wolfgang Paul ◽  
Kurt Binder
Keyword(s):  
Simulation Study ◽  
Lattice Model ◽  
Polymer Chains ◽  
Tethered Polymer Chains ◽  
Bond Fluctuation

A lattice model for the surface segregation of polymer chains due to molecular weight effects

1990 ◽  
Vol 23 (15) ◽  
pp. 3584-3592 ◽  
Author(s):  
Arvind Hariharan ◽  
Sanat K. Kumar ◽  
Thomas P. Russell
Keyword(s):  
Molecular Weight ◽  
Lattice Model ◽  
Surface Segregation ◽  
Polymer Chains

RELAXATIONAL HEAT CAPACITY AND UNIVERSALITY IN LINEAR POLYMER CHAINS

1996 ◽  
Vol 10 (29) ◽  
pp. 1441-1446 ◽  
Author(s):  
M. LÓPEZ DE HARO ◽  
L. L. GONÇALVES ◽  
J. TAGÜEÑA-MARTÍNEZ
Keyword(s):  
Heat Capacity ◽  
Relaxation Time ◽  
Polymer Chain ◽  
Lattice Model ◽  
Polymer Chains ◽  
Linear Polymer ◽  
Dynamic Responses ◽  
Linear Polymer Chain ◽  
Infinite Linear

The relaxational heat capacity of an infinite linear polymer chain is computed. The result is derived within a kinetic Ising-like model previously introduced to provide for a dynamical generalization of the Gibbs-di Marzio lattice model. The questions of universality of the dynamic responses of the chain and of the existence of more than one relaxation time if one considers different probes are discussed.

scholarly journals Target Search for Transcription Factors on DNA Chains

2019 ◽  
Vol 20 (2) ◽  
pp. 295
Author(s):  
Luiz Otávio Rodrigues Alves Sereno ◽  
José Luiz Acebal
Keyword(s):  
Brownian Motion ◽  
Transcription Factors ◽  
Lattice Model ◽  
Model Parameters ◽  
Search Efficiency ◽  
Lévy Flights ◽  
Target Search ◽  
Grid Model ◽  
Levy Flights ◽  
Dna Chain

Among many structures in the cells of living beings, there are proteins called transcription factors (TF) that are responsible to inhibit or promote the transcription of the DNA. To accomplish their function, the transcription factors perform aleatory searches around the cytoplasm (for prokaryotic cells) and along the DNA chain as well for specific targets located in the DNA. Its movement fits into the class of anomalous Brownian. The efficiency in TFs search has implications in the cellular copy and in protection against viruses, hence the knowledge of the mechanism is of great interest. In the present work, we study the searching process of the TFs by simulating the anomalous Brownian motion through the cytoplasm and DNA chain by means of Levy flights through a lattice model and through a  free grid model. The final distribution of positions of the TF are obtained. The search efficiency is investigated in terms of the model parameters.

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