Supersymmetric quantum mechanics method for the Fokker–Planck equation with applications to protein folding dynamics
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DOI: 10.1016/j.physa.2017.10.021
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- Damiano Brigo & Fabio Mercurio, 2002. "Lognormal-Mixture Dynamics And Calibration To Market Volatility Smiles," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 5(04), pages 427-446.
- Caldas, Denise & Chahine, Jorge & Filho, Elso Drigo, 2014. "The Fokker–Planck equation for a bistable potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 92-100.
- Lee, Kwonmoo & Sung, Wokyung, 2002. "Ion transport and channel transition in biomembranes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(1), pages 79-97.
- Borges, G.R.P. & Filho, Elso Drigo & Ricotta, R.M., 2010. "Variational supersymmetric approach to evaluate Fokker–Planck probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3892-3899.
- Montagnon, Chris, 2015. "A closed solution to the Fokker–Planck equation applied to forecasting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 14-22.
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- Philipp, Lucas & Shizgal, Bernie D., 2019. "A Pseudospectral solution of a bistable Fokker–Planck equation that models protein folding," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 158-166.
- Drigo Filho, Elso & Chahine, Jorge & Araujo, Marcelo Tozo & Ricotta, Regina Maria, 2022. "Probability distribution to obtain the characteristic passage time for different tri-stable potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
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Keywords
Quantum mechanics; Schrödinger equation; Folding rates; Structure-based model;All these keywords.
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