Analysis of the breakdown of continuum and semidiscrete approximation of a nonlinear model for the DNA double helix

Mario Techera; L. L. Daemen; E. W. Prohofsky

doi:10.1103/PhysRevA.41.4543

Analysis of the breakdown of continuum and semidiscrete approximation of a nonlinear model for the DNA double helix

Mario Techera
, L. L. Daemen
, E. W. Prohofsky

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

We show that the continuum and semidiscrete approximations break down for the propagation of pulses in a nonlinear model developed to mimic some dynamic aspects of the DNA double helix. The model assumes nonlinear behavior for the interbase hydrogen bonds. The effects of longer-range interactions and additional nonlinearities of the system are explored. Numerical solutions showing the effects of these additional factors are displayed.

Original language	English
Pages (from-to)	4543-4546
Number of pages	4
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	41
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevA.41.4543
State	Published - 1990
Externally published	Yes

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10.1103/PhysRevA.41.4543

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title = "Analysis of the breakdown of continuum and semidiscrete approximation of a nonlinear model for the DNA double helix",

abstract = "We show that the continuum and semidiscrete approximations break down for the propagation of pulses in a nonlinear model developed to mimic some dynamic aspects of the DNA double helix. The model assumes nonlinear behavior for the interbase hydrogen bonds. The effects of longer-range interactions and additional nonlinearities of the system are explored. Numerical solutions showing the effects of these additional factors are displayed.",

author = "Mario Techera and Daemen, \{L. L.\} and Prohofsky, \{E. W.\}",

year = "1990",

doi = "10.1103/PhysRevA.41.4543",

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journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

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T1 - Analysis of the breakdown of continuum and semidiscrete approximation of a nonlinear model for the DNA double helix

AU - Techera, Mario

AU - Daemen, L. L.

AU - Prohofsky, E. W.

PY - 1990

Y1 - 1990

N2 - We show that the continuum and semidiscrete approximations break down for the propagation of pulses in a nonlinear model developed to mimic some dynamic aspects of the DNA double helix. The model assumes nonlinear behavior for the interbase hydrogen bonds. The effects of longer-range interactions and additional nonlinearities of the system are explored. Numerical solutions showing the effects of these additional factors are displayed.

AB - We show that the continuum and semidiscrete approximations break down for the propagation of pulses in a nonlinear model developed to mimic some dynamic aspects of the DNA double helix. The model assumes nonlinear behavior for the interbase hydrogen bonds. The effects of longer-range interactions and additional nonlinearities of the system are explored. Numerical solutions showing the effects of these additional factors are displayed.

UR - https://www.scopus.com/pages/publications/20244363603

U2 - 10.1103/PhysRevA.41.4543

DO - 10.1103/PhysRevA.41.4543

M3 - Article

AN - SCOPUS:20244363603

SN - 1050-2947

VL - 41

SP - 4543

EP - 4546

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 8

ER -

Analysis of the breakdown of continuum and semidiscrete approximation of a nonlinear model for the DNA double helix

Abstract

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