Nucleated polymerization with secondary pathways. II. Determination of self-consistent solutions to growth processes described by non-linear master equations.

@article{Cohen2011NucleatedPW,
  title={Nucleated polymerization with secondary pathways. II. Determination of self-consistent solutions to growth processes described by non-linear master equations.},
  author={Samuel I. A. Cohen and Michele Vendruscolo and Christopher M. Dobson and Tuomas P. J. Knowles},
  journal={The Journal of chemical physics},
  year={2011},
  volume={135 6},
  pages={065106}
}
Nucleated polymerisation processes are involved in many growth phenomena in nature, including the formation of cytoskeletal filaments and the assembly of sickle hemoglobin and amyloid fibrils. Closed form rate equations have, however, been challenging to derive for these growth phenomena in cases where secondary nucleation processes are active, a difficulty exemplified by the highly non-linear nature of the equation systems that describe monomer dependent secondary nucleation pathways. We… CONTINUE READING

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