{"id":3043,"date":"2020-08-27T18:22:06","date_gmt":"2020-08-27T16:22:06","guid":{"rendered":"https:\/\/mim.agh.edu.pl\/?page_id=3043"},"modified":"2020-10-21T00:59:09","modified_gmt":"2020-10-20T22:59:09","slug":"electrochemical-and-biological-membranes","status":"publish","type":"page","link":"https:\/\/mim.agh.edu.pl\/?page_id=3043","title":{"rendered":"Electrochemical and Biological Membranes"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"3043\" class=\"elementor elementor-3043\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6390a18 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6390a18\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2cb5280\" data-id=\"2cb5280\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-288d6e9 elementor-widget elementor-widget-heading\" data-id=\"288d6e9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Electrochemical and Biological Membranes<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9860f1a elementor-widget elementor-widget-text-editor\" data-id=\"9860f1a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Introduction.<\/strong> Mass and charge transport processes play an important role in many areas of science. In the field of ion-selective electrodes transport of ions determines the generation of electrochemical signals. The membrane processes involving charge transport are of vital importance in cell biology since they support homeostasis of living organisms.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d85098a elementor-widget elementor-widget-text-editor\" data-id=\"d85098a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Mathematical model.<\/strong> Model based on mass balance and Poisson equations together with constitutive Nernst\u2013Planck flux formula was developed. The model describes the processes of electrodiffusion in systems composed of many layers (Fig.1)\u00a0 such as, for example, internal solution\/ion selective membrane\/diffusion layer\/sample solution. It takes into account reaction terms in mass balance equation, charge conservation equation and kinetics of ion transport across the boundaries in the form of Chang-Jaff\u00e9 boundary conditions. It is worth noting that the model does not assume commonly used simplifications such as electro-neutrality or constancy of the electric field.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-74a38ef elementor-widget elementor-widget-image\" data-id=\"74a38ef\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"640\" height=\"240\" src=\"https:\/\/mim.agh.edu.pl\/wp-content\/uploads\/2020\/08\/Electrodiffusion-model-1.png\" class=\"attachment-large size-large wp-image-3061\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Fig. 1. Schematic representation of the multi-later space region for model of electrodiffusion [2].<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-14ab973 elementor-widget elementor-widget-text-editor\" data-id=\"14ab973\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Numerical method.<\/strong> Numerical solution using method of lines developed. The established cooperation with the Faculty of Applied Mathematics, AGH-UST allowed to proove the existence and uniqueness of electrodiffusion problem in multicomponent systems for time-dependent (non-stationary) equations and generalized Chang-Jaff\u00e9 boundary conditions.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fa3e9f4 elementor-widget elementor-widget-text-editor\" data-id=\"fa3e9f4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Applications.<\/strong> Developed model was applied to model transient behavior of various electrochemical processes in ion-selective membranes. Multi-layers and reactions are formally admitted making possible modeling of the influence of ion diffusivities, membrane thickness, permittivity, rate constants on the potential of membranes. The inverse problem applied to electrodiffusion problem allowed optimizing sensor properties and measurement environment. Conditions under which experimentally measured selectivity coefficients are true (unbiased), ion interference on ion-sensor responses and the detection limit optimization were performed. Modeling of ion transport in biological membranes was demonstrated. The calcium set-point, i.e., concentration of calcium in cytosis below which calcium stops entering into a mitochondrion was calculated.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-75b7a1c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"75b7a1c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-a8e3eb8\" data-id=\"a8e3eb8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-afbca67 elementor-widget elementor-widget-image\" data-id=\"afbca67\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"640\" height=\"360\" src=\"https:\/\/mim.agh.edu.pl\/wp-content\/uploads\/2020\/08\/Detection-limit-1.png\" class=\"attachment-large size-large wp-image-3064\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Fig.2. Time-concentration-detection limit map obtained using electrodiffusion model [8].<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-a1ba96f\" data-id=\"a1ba96f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-187c575 elementor-widget elementor-widget-image\" data-id=\"187c575\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"640\" height=\"360\" src=\"https:\/\/mim.agh.edu.pl\/wp-content\/uploads\/2020\/08\/Calcium-conc-1-1.png\" class=\"attachment-large size-large wp-image-3068\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Fig. 3. Calcium concentration profiles for two different values of calcium ions concentration in cytosol [7].<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2c4dfa4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2c4dfa4\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a63d745\" data-id=\"a63d745\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7188318 elementor-widget elementor-widget-text-editor\" data-id=\"7188318\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><b>Cooperation<\/b>. Projects realized in cooperation with the \u00c5bo Akademi University, Turku, Finland and Warsaw University of Life Sciences \u2013 SGGW and the Faculty of Applied Mathematics AGH-UST.<\/p><p><strong>Research papers:<\/strong><\/p><ol><li>R. Filipek, K. Szyszkiewicz-Warzecha, B. Bo\u017cek, M. Danielewski, A. Lewenstam, \u201eDiffusion transport in electrochemical systems: a new approach to determining of the membrane potential at steady state\u201d, Defect and Diffusion Forum, 283\u2013286, (2009), 487\u2013494.<\/li><li>J.\u200aJ. Jasielec, R. Filipek, K. Szyszkiewicz, J. Fausek, M. Danielewski, A. Lewenstam, \u201eComputer simulations of electrodiffusion problems based on Nernst-Planck and Poisson equations\u201d, Computational Materials Science, 63, (2012),75\u201390.<\/li><li>J. Fausek, K. Szyszkiewicz, R. Filipek, \u201cNumerical Aspects of Electrodiffusion Problem Based on Nernst-Planck and Poisson Equations\u201d, Defect and Diffusion Forum, 323-325, (2012), 81\u201386.<\/li><li>J.J. Jasielec, T. Sokalski, R. Filipek, A. Lewenstam, \u201eComparison of different approaches to the description of the detection limit of ion-selective electrodes\u201d, Electrochimica Acta, 55, (2010), 6836\u20136848.<\/li><li>J.J. Jasielec, T. Sokalski, R. Filipek, A. Lewenstam, \u201eNeutral-carrier ion-selective electrodes assessed by Modelowanie transport the Nernst-Planck-Poisson model\u201d, Analytical Chemistry, 87, (2015), 8665\u20138672.<\/li><li>P. Lingenfelter, B. Bartoszewicz, J. Migdalski, T. Sokalski, M. M. Bu\u0107ko, R. Filipek, A. Lewenstam, \u201cReference Electrodes with Polymer-Based Membranes\u2014Comprehensive Performance Characteristics\u201d, Membranes, 9, (2019), 161\u2013183.<\/li><li>J.J. Jasielec, R. Filipek, K. Szyszkiewicz, T. Sokalski, A. Lewenstam, \u201eContinuous Modelling of Calcium Transport through Biological Membranes\u201d, Journal of Materials Engineering and Performance, 25, (2016), 3285\u20133290.<\/li><li>K. Szyszkiewicz, J. J. Jasielec, M. Danielewski, A. Lewenstam, R. Filipek, \u201cModeling of Electrodiffusion Processes from Nano to Macro Scale\u201d, Journal of The Electrochemical Society, 164, (2017), E3559\u2013E3568.<\/li><li>J.J. Jasielec, R. Filipek, K. Do\u0142owy, A. Lewenstam, Precipitation of Inorganic Salts in Mitochondrial Matrix, Membranes, 10, (2020), 81\u2013109.<\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-832ee8f elementor-widget elementor-widget-text-editor\" data-id=\"832ee8f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Contact<\/strong>:\u00a0<a href=\"mailto:rof@agh.edu.pl?subject=Electrochemical and Biological Membranes\">Prof. Robert Filipek<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Electrochemical and Biological Membranes Introduction. Mass and charge transport processes play an important role in many areas of science. In the field of ion-selective electrodes transport of ions determines the generation of electrochemical signals. The membrane processes involving charge transport are of vital importance in cell biology since they support homeostasis of living organisms. Mathematical [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-3043","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/pages\/3043","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3043"}],"version-history":[{"count":21,"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/pages\/3043\/revisions"}],"predecessor-version":[{"id":3396,"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/pages\/3043\/revisions\/3396"}],"wp:attachment":[{"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}