APPLICATION OF PEYRARD-BISHOP-DAUXOIS STOCHASTIC MODEL IN STUDY OF THERMAL FLUCTUATIONS OF DNA SYSTEMS
This manuscript/paper contain probabilistic representation for modified Peyrard-Bishop-Dauxois (PBD) model of DNA by adding tangent hyperbolic potential, that give a more physical potential model of DNA when describe transcription-translation mechanism and also a direct addition of friction force an...
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| Main Author: | |
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| Format: | Final Project |
| Language: | Indonesia |
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| Online Access: | https://digilib.itb.ac.id/gdl/view/29274 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | This manuscript/paper contain probabilistic representation for modified Peyrard-Bishop-Dauxois (PBD) model of DNA by adding tangent hyperbolic potential, that give a more physical potential model of DNA when describe transcription-translation mechanism and also a direct addition of friction force and fluctuating thermal force in equation of motion of DNA to describe its interaction with the surrounding, that normally water. From its equation of motion, we could describe the system in the different representation of stochastic differential equations (SDE) and therefore, by transforming the SDE to Fokker-Planck Equation, give us the representation of transition probability density function for such Hamiltonian that we have in the first place. This probabilistic representation can give us some new insight of what things that could happen by PBD model modification and perhaps tell us things that we could do after this. |
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