On the discrete Peyrard-Bishop model of DNA: stationary solutions and stability
Sara Cuenda, Angel Sanchez
Abstract
As a first step in the search of an analytical study of mechanical denaturation of DNA in terms of the sequence, we study stable, stationary solutions in the discrete, finite and homogeneous Peyrard-Bishop DNA model. We find and classify all the stationary solutions of the model, as well as analytic approximations of them, both in the continuum and in the discrete limits. Our results explain the structure of the solutions reported by Theodorakopoulos et al. [Phys. Rev. Lett. 93, 258101 (2004)] and provide a way to proceed to the analysis of the generalized version of the model incorporating the genetic information.
Create a lesson
Related papers
A mechanistic interpretation of mutation risk across biological scales
Satavisha De, B Vibishan
2D reaction-diffusion model-based biopsy simulation for dynamic tumor growth parameter estimation
Veronika Hofmann, Pirmin Schlicke, Jan Zawallich et al.
Flash-Radiomics: A Scalable Hybrid CPU-CUDA Engine for Standardized Scalar Radiomics and Accelerated Spatial Mapping
Shanli Ding, Yiyi Hu, Ziyu Fu et al.
Making Models That Matter: How to Build Trustworthy and Useful Systems Biology Models
John M. Hancock, Mihail Anton, Frank T. Bergmann et al.
SenSASP: A Unified, Multi-Layer Database of Senescence and SASP Genes
Hao Xuan, Yu Huang, Jiang Bian
MarkerScout: A Disease-Agnostic Machine Learning Framework for Biomarker Prediction from Multi-Scale Mechanistic Models
Robert Moore, Frank Agayie-Ntim, Lindsey B. Crawford et al.