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https://hdl.handle.net/10316/43907
Título: | Analytical aspects of the Brownian motor effect in randomly flashing ratchets | Autor: | Vorotnikov, Dmitry | Palavras-chave: | Diffusion; Mathematical Concepts; Molecular Motor Proteins; Muscle Contraction; Protein Conformation; Models, Biological | Data: | 2013 | Editora: | Springer | Projeto: | PEst-C/MAT/UI0324/2011 | Título da revista, periódico, livro ou evento: | Journal of Mathematical Biology | Volume: | 68 | Número: | 7 | Resumo: | The muscle contraction, operation of ATP synthase, maintaining the shape of a cell are believed to be secured by motor proteins, which can be modelled using the Brownian ratchet mechanism. We consider the randomly flashing ratchet model of a Brownian motor, where the particles can be in two states, only one of which is sensitive the applied spatially periodic potential (the mathematical setting is a pair of weakly coupled reaction-diffusion and Fokker-Planck equations). We prove that this mechanism indeed generates unidirectional transport by showing that the amount of mass in the wells of the potential decreases/increases from left to right. The direction of transport is unambiguously determined by the location of each minimum of the potential with respect to the so-called diffusive mean of its adjacent maxima. The transport can be generated not only by an asymmetric potential, but also by a symmetric potential and asymmetric transition rates, and as a consequence of the general result we derive explicit conditions when the latter happens. When the transitions are localized on narrow active sites in the protein conformation space, we find a more explicit characterization of the bulk transport direction, and infer that some common preconditions of the motor effect are redundant. | URI: | https://hdl.handle.net/10316/43907 | DOI: | 10.1007/s00285-013-0684-4 10.1007/s00285-013-0684-4 |
Direitos: | embargoedAccess |
Aparece nas coleções: | I&D CMUC - Artigos em Revistas Internacionais |
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