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This work is aimed to give an electrochemical insight into the ionic transport phenomena in the cellular environment of organized brain tissue. The Nernst–Planck–Poisson (NPP) model is presented, and its applications in the description of electrodiffusion phenomena relevant in nanoscale neurophysiology are reviewed. These phenomena include: the signal propagation in neurons, the liquid junction potential in extracellular space, electrochemical transport in ion channels, the electrical potential distortions invisible to patch-clamp technique, and calcium transport through mitochondrial membrane. The limitations, as well as the extensions of the NPP model that allow us to overcome these limitations, are also discussed.
Jerzy Jasielec. Electrodiffusion Phenomena in Neuroscience and the Nernst–Planck–Poisson Equations. Electrochem 2021, 2, 197 -215.
AMA StyleJerzy Jasielec. Electrodiffusion Phenomena in Neuroscience and the Nernst–Planck–Poisson Equations. Electrochem. 2021; 2 (2):197-215.
Chicago/Turabian StyleJerzy Jasielec. 2021. "Electrodiffusion Phenomena in Neuroscience and the Nernst–Planck–Poisson Equations." Electrochem 2, no. 2: 197-215.
A non-equilibrium diffusion–reaction model is proposed to describe chloride transport and binding in cementitious materials. A numerical solution for this non-linear transport with reaction problem is obtained using the finite element method. The effective chloride diffusion coefficients and parameters of the chloride binding are determined using the inverse method based on a diffusion–reaction model and experimentally measured chloride concentrations. The investigations are performed for two significantly different cements: ordinary Portland and blast furnace cements. The results are compared with the classical diffusion model and appropriate apparent diffusion coefficients. The role of chloride binding, with respect to the different binding isotherms applied, in the overall transport of chlorides is discussed, along with the applicability of the two models. The proposed work allows the determination of important parameters that influence the longevity of concrete structures. The developed methodology can be extended to include more ions, electrostatic interactions, and activity coefficients for even more accurate estimation of the longevity.
Jerzy J. Jasielec; Jakub Stec; Krzysztof Szyszkiewicz-Warzecha; Artur Łagosz; Jan Deja; Andrzej Lewenstam; Robert Filipek. Effective and Apparent Diffusion Coefficients of Chloride Ions and Chloride Binding Kinetics Parameters in Mortars: Non-Stationary Diffusion–Reaction Model and the Inverse Problem. Materials 2020, 13, 5522 .
AMA StyleJerzy J. Jasielec, Jakub Stec, Krzysztof Szyszkiewicz-Warzecha, Artur Łagosz, Jan Deja, Andrzej Lewenstam, Robert Filipek. Effective and Apparent Diffusion Coefficients of Chloride Ions and Chloride Binding Kinetics Parameters in Mortars: Non-Stationary Diffusion–Reaction Model and the Inverse Problem. Materials. 2020; 13 (23):5522.
Chicago/Turabian StyleJerzy J. Jasielec; Jakub Stec; Krzysztof Szyszkiewicz-Warzecha; Artur Łagosz; Jan Deja; Andrzej Lewenstam; Robert Filipek. 2020. "Effective and Apparent Diffusion Coefficients of Chloride Ions and Chloride Binding Kinetics Parameters in Mortars: Non-Stationary Diffusion–Reaction Model and the Inverse Problem." Materials 13, no. 23: 5522.
In the mitochondrial matrix, there are insoluble, osmotically inactive complexes that maintain a constant pH and calcium concentration. In the present paper, we examine the properties of insoluble calcium and magnesium salts, such as phosphates, carbonates and polyphosphates, which might play this role. We find that non-stoichiometric, magnesium-rich carbonated apatite, with very low crystallinity, precipitates in the matrix under physiological conditions. Precipitated salt acts as pH buffer, and, hence, can contribute in maintaining ATP production in ischemic conditions, which delays irreversible damage to heart and brain cells after stroke.
Jerzy J. Jasielec; Robert Filipek; Krzysztof Dołowy; Andrzej Lewenstam. Precipitation of Inorganic Salts in Mitochondrial Matrix. Membranes 2020, 10, 81 .
AMA StyleJerzy J. Jasielec, Robert Filipek, Krzysztof Dołowy, Andrzej Lewenstam. Precipitation of Inorganic Salts in Mitochondrial Matrix. Membranes. 2020; 10 (5):81.
Chicago/Turabian StyleJerzy J. Jasielec; Robert Filipek; Krzysztof Dołowy; Andrzej Lewenstam. 2020. "Precipitation of Inorganic Salts in Mitochondrial Matrix." Membranes 10, no. 5: 81.
The Nernst-Planck-Poisson model is used for modeling the sensitivity and selectivity of ion-selective electrodes (ISEs) with plastic membranes. Two pivotal parameters characterizing ISE response are in focus: sensitivity and selectivity. An interpretation of sensitivity, which considers the concurrent influence of anions and cations on the ISE slope, is presented. The interpretation of selectivity shows the validity and limits of approaches hitherto taken to measure the true (unbiased) selectivity coefficient. The validity of more idealized interpretations by the diffusion-layer model is conceived.
Jerzy J. Jasielec; Zekra Mousavi; Kim Granholm; Tomasz Sokalski; Andrzej Lewenstam. Sensitivity and Selectivity of Ion-Selective Electrodes Interpreted Using the Nernst-Planck-Poisson Model. Analytical Chemistry 2018, 90, 9644 -9649.
AMA StyleJerzy J. Jasielec, Zekra Mousavi, Kim Granholm, Tomasz Sokalski, Andrzej Lewenstam. Sensitivity and Selectivity of Ion-Selective Electrodes Interpreted Using the Nernst-Planck-Poisson Model. Analytical Chemistry. 2018; 90 (15):9644-9649.
Chicago/Turabian StyleJerzy J. Jasielec; Zekra Mousavi; Kim Granholm; Tomasz Sokalski; Andrzej Lewenstam. 2018. "Sensitivity and Selectivity of Ion-Selective Electrodes Interpreted Using the Nernst-Planck-Poisson Model." Analytical Chemistry 90, no. 15: 9644-9649.
Mass and charge transport processes play an important role in different areas of science. The membrane processes involving charge transport are of vital importance in cell biology since they support homeostasis of living organisms. In the field of ion-selective electrodes transport of ions determines generation of electrochemical signals. The process of ionic diffusion remains of primary importance in many civil engineering problems since the long-term durability of building materials, such as concrete, is directly affected by the transport of chemical species. Length scale of the above processes range from nanometers for biological membranes through micrometers for ion selective electrodes up to centimeters for ions transport in concrete.
K. Szyszkiewicz; J. J. Jasielec; M. Danielewski; Andrzej Lewenstam; R. Filipek. Modeling of Electrodiffusion Processes from Nano to Macro Scale. Journal of The Electrochemical Society 2017, 164, E3559 -E3568.
AMA StyleK. Szyszkiewicz, J. J. Jasielec, M. Danielewski, Andrzej Lewenstam, R. Filipek. Modeling of Electrodiffusion Processes from Nano to Macro Scale. Journal of The Electrochemical Society. 2017; 164 (11):E3559-E3568.
Chicago/Turabian StyleK. Szyszkiewicz; J. J. Jasielec; M. Danielewski; Andrzej Lewenstam; R. Filipek. 2017. "Modeling of Electrodiffusion Processes from Nano to Macro Scale." Journal of The Electrochemical Society 164, no. 11: E3559-E3568.
Krzysztof Szyszkiewicz; Jerry J. Jasielec; Janusz Fausek; Robert Filipek. Inverse problems in mass and charge transport. Annales de Chimie - Science des Matériaux 2016, 40, 51 -59.
AMA StyleKrzysztof Szyszkiewicz, Jerry J. Jasielec, Janusz Fausek, Robert Filipek. Inverse problems in mass and charge transport. Annales de Chimie - Science des Matériaux. 2016; 40 (1):51-59.
Chicago/Turabian StyleKrzysztof Szyszkiewicz; Jerry J. Jasielec; Janusz Fausek; Robert Filipek. 2016. "Inverse problems in mass and charge transport." Annales de Chimie - Science des Matériaux 40, no. 1: 51-59.
Transport properties of ions have significant impact on the possibility of rebars corrosion thus the knowledge of a diffusion coefficient is important for reinforced concrete durability. Numerous tests for the determination of diffusion coefficients have been proposed but analysis of some of these tests show that they are too simplistic or even not valid. Hence, more rigorous models to calculate the coefficients should be employed. Here we propose the Nernst–Planck and Poisson equations, which take into account the concentration and electric potential field. Based on this model a special inverse method is presented for determination of a chloride diffusion coefficient. It requires the measurement of concentration profiles or flux on the boundary and solution of the NPP model to define the goal function. Finding the global minimum is equivalent to the determination of diffusion coefficients. Typical examples of the application of the presented method are given.
Krzysztof Szyszkiewicz-Warzecha; Jerzy J. Jasielec; Janusz Fausek; Robert Filipek. Determination of Diffusion Coefficients in Cement-Based Materials: An Inverse Problem for the Nernst–Planck and Poisson Models. Journal of Materials Engineering and Performance 2016, 25, 3291 -3295.
AMA StyleKrzysztof Szyszkiewicz-Warzecha, Jerzy J. Jasielec, Janusz Fausek, Robert Filipek. Determination of Diffusion Coefficients in Cement-Based Materials: An Inverse Problem for the Nernst–Planck and Poisson Models. Journal of Materials Engineering and Performance. 2016; 25 (8):3291-3295.
Chicago/Turabian StyleKrzysztof Szyszkiewicz-Warzecha; Jerzy J. Jasielec; Janusz Fausek; Robert Filipek. 2016. "Determination of Diffusion Coefficients in Cement-Based Materials: An Inverse Problem for the Nernst–Planck and Poisson Models." Journal of Materials Engineering and Performance 25, no. 8: 3291-3295.
In this work an approach to the modeling of the biological membranes where a membrane is treated as a continuous medium is presented. The Nernst-Planck-Poisson model including Poisson equation for electric potential is used to describe transport of ions in the mitochondrial membrane—the interface which joins mitochondrial matrix with cellular cytosis. The transport of calcium ions is considered. Concentration of calcium inside the mitochondrion is not known accurately because different analytical methods give dramatically different results. We explain mathematically these differences assuming the complexing reaction inside mitochondrion and the existence of the calcium set-point (concentration of calcium in cytosis below which calcium stops entering the mitochondrion).
Jerzy Jasielec; R. Filipek; K. Szyszkiewicz; Tomasz Sokalski; Andrzej Lewenstam. Continuous Modeling of Calcium Transport Through Biological Membranes. Journal of Materials Engineering and Performance 2016, 25, 3285 -3290.
AMA StyleJerzy Jasielec, R. Filipek, K. Szyszkiewicz, Tomasz Sokalski, Andrzej Lewenstam. Continuous Modeling of Calcium Transport Through Biological Membranes. Journal of Materials Engineering and Performance. 2016; 25 (8):3285-3290.
Chicago/Turabian StyleJerzy Jasielec; R. Filipek; K. Szyszkiewicz; Tomasz Sokalski; Andrzej Lewenstam. 2016. "Continuous Modeling of Calcium Transport Through Biological Membranes." Journal of Materials Engineering and Performance 25, no. 8: 3285-3290.
Ion-selective electrodes (ISEs) containing neutral ionophores are used in clinical, industrial, and environmental analysis. The wide range of applications requires deep theoretical description. This work concentrates on the development of the general approach to the description of electro-diffusion processes, namely, Nernst-Planck-Poisson (NPP) model to allow the description of the time-dependent responses in the case of complexation reactions occurring in the ion-selective membranes. The impact of the chemical reaction on the calibration curves and apparent selectivity of ISE is discussed. Results obtained using NPP model with time-dependent reaction are compared with those obtained with the Phase Boundary Model (PBM), as well as with the previous solutions of NPP model, using the infinite reaction rates and constant ligand concentration assumption. The validity of these assumptions is investigated and the limitations of PBM in the description of neutral-carrier ISE are discussed.
Jerzy Jasielec; Tomasz Sokalski; Robert Filipek; Andrzej Lewenstam. Neutral-Carrier Ion-Selective Electrodes Assessed by the Nernst–Planck–Poisson Model. Analytical Chemistry 2015, 87, 8665 -8672.
AMA StyleJerzy Jasielec, Tomasz Sokalski, Robert Filipek, Andrzej Lewenstam. Neutral-Carrier Ion-Selective Electrodes Assessed by the Nernst–Planck–Poisson Model. Analytical Chemistry. 2015; 87 (17):8665-8672.
Chicago/Turabian StyleJerzy Jasielec; Tomasz Sokalski; Robert Filipek; Andrzej Lewenstam. 2015. "Neutral-Carrier Ion-Selective Electrodes Assessed by the Nernst–Planck–Poisson Model." Analytical Chemistry 87, no. 17: 8665-8672.
K. Szyszkiewicz; M. Danielewski; J. Fausek; Jerzy Jasielec; W. Kucza; Andrzej Lewenstam; Tomasz Sokalski; Robert Filipek. Breakthrough in Modeling of Electrodiffusion Processes: Continuation and Extensions of the Classical Work of Richard Buck. ECS Transactions 2014, 61, 21 -30.
AMA StyleK. Szyszkiewicz, M. Danielewski, J. Fausek, Jerzy Jasielec, W. Kucza, Andrzej Lewenstam, Tomasz Sokalski, Robert Filipek. Breakthrough in Modeling of Electrodiffusion Processes: Continuation and Extensions of the Classical Work of Richard Buck. ECS Transactions. 2014; 61 (15):21-30.
Chicago/Turabian StyleK. Szyszkiewicz; M. Danielewski; J. Fausek; Jerzy Jasielec; W. Kucza; Andrzej Lewenstam; Tomasz Sokalski; Robert Filipek. 2014. "Breakthrough in Modeling of Electrodiffusion Processes: Continuation and Extensions of the Classical Work of Richard Buck." ECS Transactions 61, no. 15: 21-30.
All‐solid‐state electrodes are increasingly being used in clinical, industrial and environmental analysis. This wide range of applications requires deep theoretical description of such electrodes. This work concentrates on the development of a numerical tool for the qualitative prediction of electrochemical behaviour for solid‐contact ion‐selective electrodes at low analyte concentrations. For this purpose, a general approach to the description of electro‐diffusion processes, namely the Nernst‐Planck‐Poisson (NPP) model, was applied. The results obtained from this model are verified by experimental data of lead(II)‐selective electrodes based on a polymeric PVC membrane with polybenzopyrene doped with Eriochrome Black T used as the solid contact.
Jerzy Jasielec; Grzegorz Lisak; Michal Wagner; Tomasz Sokalski; Andrzej Lewenstam. Nernst-Planck-Poisson Model for the Description of Behaviour of Solid-Contact Ion-Selective Electrodes at Low Analyte Concentration. Electroanalysis 2012, 25, 133 -140.
AMA StyleJerzy Jasielec, Grzegorz Lisak, Michal Wagner, Tomasz Sokalski, Andrzej Lewenstam. Nernst-Planck-Poisson Model for the Description of Behaviour of Solid-Contact Ion-Selective Electrodes at Low Analyte Concentration. Electroanalysis. 2012; 25 (1):133-140.
Chicago/Turabian StyleJerzy Jasielec; Grzegorz Lisak; Michal Wagner; Tomasz Sokalski; Andrzej Lewenstam. 2012. "Nernst-Planck-Poisson Model for the Description of Behaviour of Solid-Contact Ion-Selective Electrodes at Low Analyte Concentration." Electroanalysis 25, no. 1: 133-140.
A numerical procedure based on the method of lines for time-dependent electrodiffusion transport has been developed. Two types of boundary conditions (Neumann and Dirichlet) are considered. Finite difference space discretization with suitably selected weights based on a non-uniform grid is applied. Consistency of this method and the method put forward by Brumleve and Buck are analysed and compared. The resulting stiff system of ordinary differential equations is effectively solved using the RADAU5, RODAS and SEULEX integrators. The applications to selected electrochemical systems: liquid junction, bi-ionic case, ion selective electrodes and electrochemical impedance spectroscopy have been demonstrated. In the paper we promote the use of the full form of the Nernst–Planck and Poisson (NPP) equations, that is including explicitly the electric field as an unknown variable with no simplifications like electroneutrality or constant field assumptions. An effective method of the numerical solution of the NPP problem for arbitrary number of ionic species and valence numbers either for a steady state or a transient state is shown. The presented formulae – numerical solutions to the NPP problem – are ready to be implemented by anyone. Moreover, we make the resulting software freely available to anybody interested in using it.
J.J. Jasielec; R. Filipek; K. Szyszkiewicz; J. Fausek; M. Danielewski; A. Lewenstam. Computer simulations of electrodiffusion problems based on Nernst–Planck and Poisson equations. Computational Materials Science 2012, 63, 75 -90.
AMA StyleJ.J. Jasielec, R. Filipek, K. Szyszkiewicz, J. Fausek, M. Danielewski, A. Lewenstam. Computer simulations of electrodiffusion problems based on Nernst–Planck and Poisson equations. Computational Materials Science. 2012; 63 ():75-90.
Chicago/Turabian StyleJ.J. Jasielec; R. Filipek; K. Szyszkiewicz; J. Fausek; M. Danielewski; A. Lewenstam. 2012. "Computer simulations of electrodiffusion problems based on Nernst–Planck and Poisson equations." Computational Materials Science 63, no. : 75-90.
The Nernst–Planck–Poisson (NPP) model is used to numerically simulate electrochemical impedance spectra (EIS) of ion-selective electrodes (ISEs). By using the Hierarchical Genetic Strategy with real number encoding (HGS(FP)) the reverse problem is solved. The NPP–HGS(FP) method allows estimation of physicochemical parameters of ISEs with plastic membranes, which is illustrated here by using NPP–HGS(FP) for obtaining the values of the diffusion coefficients of ions in the ISE membrane phase. The NPP–HGS(FP) method allows calculation of the most accurate solution of the inverse problem and can be effectively used to facilitate the process of finding the parameters for optimal ISE performance. The method presented here not only allows for interpretation of the EIS spectra but also for accounting for the mechanism of the processes occurring at the interface in terms of physicoelectrochemically valid concepts.
B. Grysakowski; J.J. Jasielec; B. Wierzba; T. Sokalski; A. Lewenstam; M. Danielewski. Electrochemical Impedance Spectroscopy (EIS) of ion sensors: Direct modeling and inverse problem solving using the Nernst–Planck–Poisson (NPP) model and the HGS(FP) optimization strategy. Journal of Electroanalytical Chemistry 2011, 662, 143 -149.
AMA StyleB. Grysakowski, J.J. Jasielec, B. Wierzba, T. Sokalski, A. Lewenstam, M. Danielewski. Electrochemical Impedance Spectroscopy (EIS) of ion sensors: Direct modeling and inverse problem solving using the Nernst–Planck–Poisson (NPP) model and the HGS(FP) optimization strategy. Journal of Electroanalytical Chemistry. 2011; 662 (1):143-149.
Chicago/Turabian StyleB. Grysakowski; J.J. Jasielec; B. Wierzba; T. Sokalski; A. Lewenstam; M. Danielewski. 2011. "Electrochemical Impedance Spectroscopy (EIS) of ion sensors: Direct modeling and inverse problem solving using the Nernst–Planck–Poisson (NPP) model and the HGS(FP) optimization strategy." Journal of Electroanalytical Chemistry 662, no. 1: 143-149.
The detection limit (DL) of an analytical method determines the range of its applicability. For ion selective electrodes (ISE) used in potentiometric measurements, this parameter can vary by several orders of magnitude depending on the inner solution concentrations or the time of measurement. The detection limit of ISE can be predicted using the Nernst-Planck-Poisson model (NPP), as a general approach to the description of the time-dependent electro-diffusion processes. To find the optimal parameters, we need to formulate the inverse electro-diffusion problem. In this work, we combine the Nernst-Planck-Poisson model with the Hierarchical Genetic Strategy with real number encoding (HGS-FP). We use the HGS-FP method to approximate inner solution concentrations as well as the measuring time that provide a linear dependence of the membrane potential over the widest concentration range. We show that the HGS-FP method allows us to find the solution of the inverse problem. The presented calculations show a great future potential of the NPP method combined with the HGS-FP strategy.
Jerzy Jasielec; Bartek Wierzba; Bartosz Grysakowski; Tomasz Sokalski; Marek Danielewski; Andrzej Lewenstam. Novel Strategy for Finding the Optimal Parameters of Ion Selective Electrodes. ECS Transactions 2010, 33, 19 -29.
AMA StyleJerzy Jasielec, Bartek Wierzba, Bartosz Grysakowski, Tomasz Sokalski, Marek Danielewski, Andrzej Lewenstam. Novel Strategy for Finding the Optimal Parameters of Ion Selective Electrodes. ECS Transactions. 2010; 33 (26):19-29.
Chicago/Turabian StyleJerzy Jasielec; Bartek Wierzba; Bartosz Grysakowski; Tomasz Sokalski; Marek Danielewski; Andrzej Lewenstam. 2010. "Novel Strategy for Finding the Optimal Parameters of Ion Selective Electrodes." ECS Transactions 33, no. 26: 19-29.
The Nernst–Planck–Poisson (NPP) model is a general approach to the description of the electro-diffusion processes which lead to the formation of the membrane potential. It takes into consideration several parameters of ion-selective electrodes (ISEs) which are ignored in simpler models. This paper presents a critical comparison between the NPP model and simpler models. The influence of different parameters on the detection limit of ISEs is discussed. This is achieved by comparing direct predictions of the models and, in contrast to any earlier treatment, by inverse modelling. This makes it possible to simultaneously find out which set of physical parameters of the system will produce the desired detection limit.
Jerzy J. Jasielec; Tomasz Sokalski; Robert Filipek; Andrzej Lewenstam. Comparison of different approaches to the description of the detection limit of ion-selective electrodes. Electrochimica Acta 2010, 55, 6836 -6848.
AMA StyleJerzy J. Jasielec, Tomasz Sokalski, Robert Filipek, Andrzej Lewenstam. Comparison of different approaches to the description of the detection limit of ion-selective electrodes. Electrochimica Acta. 2010; 55 (22):6836-6848.
Chicago/Turabian StyleJerzy J. Jasielec; Tomasz Sokalski; Robert Filipek; Andrzej Lewenstam. 2010. "Comparison of different approaches to the description of the detection limit of ion-selective electrodes." Electrochimica Acta 55, no. 22: 6836-6848.
In most interpretations of ion-sensor response phase boundary potentials are used. They assume electroneutrality and equilibrium or steady-state, thus ignore electrochemical migration and time-dependent effects. It is in conflict with many experimental reports on ion-sensors, in which both kinetic (time-dependent) discrimination of ions to improve selectivity, and non-equilibrium transmembrane ion-transport for lowering detection limits, are deliberately used. The Nernst-Planck-Poisson (NPP) equations are used to model the non-equilibrium response. In the NPP model, electroneutrality and steady-state/equilibrium assumptions are abandoned and directly predicting the selectivity and the low detection limit variability over time, and the influence of other parameters, e.g. ion diffusibility, are possible. The NPP allows for solving the inverse problem i.e. to optimize sensor properties and measurement conditions via target functions and hierarchical modeling. The conditions under which experimentally measured selectivity coefficients are true (unbiased) and detection limits are optimized are demonstrated, and practical conclusions relevant to bioassays are derived.
Andrzej Lewenstam; Tomasz Sokalski; Jerzy Jasielec; Witold Kucza; Robert Filipek; Bartek Wierzba; Marek Danielewski. Modeling Non Equilibrium Potentiometry to Understand and Control Selectivity and Detection Limit. ECS Transactions 2009, 19, 219 -224.
AMA StyleAndrzej Lewenstam, Tomasz Sokalski, Jerzy Jasielec, Witold Kucza, Robert Filipek, Bartek Wierzba, Marek Danielewski. Modeling Non Equilibrium Potentiometry to Understand and Control Selectivity and Detection Limit. ECS Transactions. 2009; 19 (6):219-224.
Chicago/Turabian StyleAndrzej Lewenstam; Tomasz Sokalski; Jerzy Jasielec; Witold Kucza; Robert Filipek; Bartek Wierzba; Marek Danielewski. 2009. "Modeling Non Equilibrium Potentiometry to Understand and Control Selectivity and Detection Limit." ECS Transactions 19, no. 6: 219-224.