Top

Journal of Materials Engineering and Performance

Published in:

21-06-2016

Continuous Modeling of Calcium Transport Through Biological Membranes

Authors: J. J. Jasielec, R. Filipek, K. Szyszkiewicz, T. Sokalski, A. Lewenstam

Published in: Journal of Materials Engineering and Performance | Issue 8/2016

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

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).

previous article Melting Point Depression and Fast Diffusion in Nanostructured Brazing Fillers Confined Between Barrier Nanolayers

next article Determination of Diffusion Coefficients in Cement-Based Materials: An Inverse Problem for the Nernst–Planck and Poisson Models

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

J. Bobacka, A. Ivaska, and A. Lewenstam, Potentiometric Ion Sensors, Chem. Rev., 2008, 108(2), p 329–351CrossRef

K. Krabbenhøft and J. Krabbenhøft, Application of the Poisson–Nernst–Planck Equations to the Migration Test, Cem. Concr. Res., 2008, 38, p 77–88CrossRef

B. Roux, The Membrane Potential and Its Representation by a Constant Electric Field in Computer Simulations, Biophys. J., 2008, 95, p 4205–4216CrossRef

C. Kutzner, H. Grubmuller, B.L. de Groot, and U. Zachariae, Computational Electrophysiology: The Molecular Dynamics of Ion Channel Permeation and Selectivity in Atomistic Detail, Biophys. J., 2011, 101, p 809–817CrossRef

M. Jensen, W. Borhani, K. Lindorff-Larsen, P. Maragakis, V. Jogini, M.P. Eastwood, R.O. Dror, and D.E. Shaw, Principles of Conduction and Hydrophobic Gating in K+ Channels, Proc. Natl. Acad. Sci. USA, 2010, 107, p 5833–5838CrossRef

A. Bidon-Chanal, E.-M. Krammer, D. Blot, E. Pebay-Peyroula, C. Chipot, S. Ravaud, and F. Dehez, How do Membrane Transporters Sense pH? The Case of the Mitochondrial ADP-ATP Carrier, J. Phys. Chem. Lett., 2013, 4, p 3787–3791CrossRef

B. Roux, T. Allen, S. Berneche, and W. Im, Theoretical and Computational Models of Biological Ion Channels, Q. Rev. Biophys., 2004, 37(1), p 15–103CrossRef

E.-M. Krammer, F. Homblé, and M. Prévost, Molecular origin of VDAC Selectivity Towards Inorganic Ions: A Combined Molecular and Brownian Dynamics Study, Biochem. Biophys. Acta, 2013, 1828, p 1284–1292CrossRef

B. Corry, S. Kuyucak, and S.-H. Ghung, Dielectric Self-Energy in Poisson-Boltzmann and Poisson-Nernst-Planck Models of Ion Channels, Biophys. J., 2003, 84, p 3594–3606CrossRef

10.

R.S. Eisenberg, From Structure to Function in Open Ionic Channels, J. Membr. Biol., 1999, 171(1), p 1–24CrossRef

11.

I. Valent, P. Petrovič, P. Neogrády, I. Schreiber, and M. Marek, Electrodiffusion Kinetics of Ionic Transport in a Simple Membrane Channel, J. Phys. Chem. B, 2013, 117, p 14283–14293CrossRef

12.

B. Bożek, A. Lewenstam, K. Tkacz-Śmiech, and M. Danielewski, Electrochemistry of Symmetrical Ion Channel: Three-Dimensional Nernst-Planck-Poisson Model, ECS Trans., 2014, 61(15), p 11–20CrossRef

13.

R. Hansford, Relation Between Mitochondrial Calcium Transport and Control of Energy Metabolism, Rev. Physiol. Biochem. Pharmacol., 1985, 102, p 2–72

14.

E. Carafoli, Intracellular Calcium Homeostasis, Ann. Rev. Biochem., 1987, 56, p 395–435CrossRef

15.

M. Crompton, Role of Mitochondria in Intracellular Calcium Regulation, Intracellular Calcium Regulation, F. Bronner, Ed, Alan R. Liss, New York, 1990, p 181–209.

16.

J.G. McCormack, A.P. Halestrap, and R.M. Denton, Role of Calcium Ions in Regulation of Mammalian Intramitochondrial Metabolism, Physiol. Rev., 1990, 70(2), p 391–420

17.

M.R. Duchen, MRCa(2+)-dependent changes in the mitochondrial energetics in single dissociated mouse sensory neurons, Biochem J., 1992, 283 (Part 1), p 41-50.

18.

S.S. Kannurpatti, B.G. Sanganahalli, P. Herman, and F. Hyder, Role of Mitochondrial Calcium Uptake Homeostasis in Resting State fMRI, Brain Networks, NMR Biomed., 2015, 28(11), p 1579–1588CrossRef

19.

K. Dołowy, Warsaw University of Life Sciences - private communication 2010-2013.

20.

H. Chang and G. Jaffé, Polarization in Electrolyte Solutions. Part I: Theory, J. Chem. Phys., 1952, 20, p 1071–1077CrossRef

21.

W.E. Morf, The Principles of Ion-Selective Electrodes and of Membrane Transport, 1st ed., Akadémiai Kiadó, Budapest, 1981, p 123

22.

W.E. Schiesser, The Numerical Method of Lines: Integration of Partial Differential Equations, Math. Comput., 1993, 60(201), p 433–437CrossRef

23.

A.C. Hindmarsh, LSODE and LSODI, Two Initial Value Ordinary Differential Equation Solvers, ACM Signum Newslett., 1980, 15, p 10–11CrossRef

24.

W.E. Morf, E. Pretsch, and N.F. De Rooij, Theoretical Treatment and Numerical Simulation of Potential and Concentration Profiles in Extremely Thin Non-Electroneutral Membranes Used for Ion-Selective Electrodes, J. Electroanal. Chem., 2010, 641(1), p 45–56CrossRef

Title: Continuous Modeling of Calcium Transport Through Biological Membranes
Authors: J. J. Jasielec
R. Filipek
K. Szyszkiewicz
T. Sokalski
A. Lewenstam
Publication date: 21-06-2016
Publisher: Springer US
Published in: Journal of Materials Engineering and Performance / Issue 8/2016
Print ISSN: 1059-9495
Electronic ISSN: 1544-1024
DOI: https://doi.org/10.1007/s11665-016-2160-y

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 8/2016

Mechanical Properties of Solid-State Recycled 4xxx Aluminum Alloy Chips

Metallurgical Effects of Shunting Current on Resistance Spot-Welded Joints of AA2219 Sheets

Investigation of Ni-B Alloys for Joining of TiB2 Ultra-High-Temperature Ceramic

The Effect of Post-grinding Heat Treatment of Alumina and Ag-Cu-Ti Braze Preform Thickness on the Microstructure and Mechanical Properties of Alumina-to-Alumina-Brazed Joints

Estimation of Intrinsic Contact Angle of Various Liquids on PTFE by Utilizing Ultrasonic Vibration

Effect of La2O3 Nanoparticles on the Brazeability, Microstructure, and Mechanical Properties of Al-11Si-20Cu Alloy

Premium Partners