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To implement the Monte Carlo method, a Hamiltonian was used that includes the contributions of the energy due to the cellular electric field, the electrostatic interaction between the ions, the friction force generated by moving the ion in the center and the contribution given by subduing a cell to a magnetic field gradient. The input parameters to carry out a simulation are the intra and extracellular concentrations of each ionic species, the length of the extracellular medium, the number of Monte Carlo steps (MCS) and the value of the magnetic gradient. The model was validated contrasting it with Gillespie\u2019s algorithm to obtain variations less than 3 % in terms of membrane potential. The Monte Carlo Method combined with the Metropolis algorithm were considered for recreating the stochastic behavior of ion movement.<\/jats:p>","DOI":"10.3233\/jcm-200035","type":"journal-article","created":{"date-parts":[[2020,9,8]],"date-time":"2020-09-08T10:26:06Z","timestamp":1599560766000},"page":"243-254","source":"Crossref","is-referenced-by-count":1,"title":["Modeling and simulation of transmembrane ionic transport of cells exposed to magnetic field using the Monte Carlo method"],"prefix":"10.1177","volume":"21","author":[{"given":"M.C.","family":"Barrero-Moreno","sequence":"first","affiliation":[{"name":"Universidad Nacional de Colombia, Departamento de F\u00edsica y Qu\u00edmica, Grupo PCM Computational Applications, Manizales, Colombia"}]},{"given":"E.","family":"Restrepo-Parra","sequence":"additional","affiliation":[{"name":"Universidad Nacional de Colombia, Departamento de F\u00edsica y Qu\u00edmica, Grupo PCM Computational Applications, Manizales, Colombia"}]},{"given":"J.","family":"Torres-Osorio","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Grupo de Investigaci\u00f3n en Campos Electromagn\u00e9ticos, Medioambiente y Salud P\u00fablica, Universidad de Caldas, Manizales, Colombia"}]}],"member":"179","reference":[{"key":"10.3233\/JCM-200035_ref1","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1515\/hjic-2017-0011","article-title":"Simulating ion transport with the NP LEMC Method. applications to ion channels and nanopores","volume":"45","author":"Fertig","year":"2017","journal-title":"Hungarian Journal of Industry and Chemistry"},{"key":"10.3233\/JCM-200035_ref2","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1007\/s10265-005-0246-y","article-title":"Magnetoreception in plants","volume":"118","author":"Galland","year":"2005","journal-title":"Journal of Plant 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