A Toda lattice model for DNA: Thermally generated solitons

DOI10.1016/0167-2789(90)90048-TzbMath0705.92008OpenAlexW2047541945MaRDI QIDQ918465

Virginia Muto, Peter Leth Christiansen, Alwyn C. Scott

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90048-t

zbMATH Keywords

Toda latticeDNAabsolute temperaturenumber of base pairsphysiological temperaturethermal equilibrium number of solitons

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Protein sequences, DNA sequences (92D20) Biophysics (92C05) Applications of statistical mechanics to specific types of physical systems (82D99)

Related Items (8)

On the Cauchy problem for IMBq system arising from DNA ⋮ Balanced loss-gain induced chaos in a periodic Toda lattice ⋮ Soliton oscillations for DNA dynamics ⋮ Extended mixed function method and its application for solving two classic Toda lattice equations ⋮ A nonlinear model for DNA dynamics ⋮ Global existence of solutions of Cauchy problem for generalized system of nonlinear evolution equations arising from DNA ⋮ Nonlinear models of DNA dynamics ⋮ Thermodynamics of Toda lattice models: Application to DNA

Cites Work

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• Nonlinear normal modes for the Toda chain
• Theory of nonlinear lattices
• The Fokker-Planck equation. Methods of solutions and applications.
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• A Coupled Base-Rotator Model for Structure and Dynamics of DNA: Local Fluctuations in Helical Twist Angles and Topological Solitons
• Disordered One-Dimensional Crystals
• Integrals of the Toda lattice
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals

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