Project
AA1-14
Development of an Ion-Channel Model-Framework for In-vitro Assisted Interpretation of Current Voltage Relations
Project Heads
Jürgen Fuhrmann, Manuel Landstorfer, Barbara Wagner
Project Members
Christine Keller
Project Duration
01.04.2022 − 31.03.2025
Located at
WIAS
Description
We develop a PDE based model framework to predict current-voltage relations of calcium channels for varying concentrations, voltages and channel elasticity to help interpret measured results. Theory and numerical approaches treat progressively more complex models covering mechano-sensitivity and selectivity.
External Website
Related Publications
[1] J. Fuhrmann, “A numerical strategy for Nernst-Planck systems with solvation effect,” Fuel cells, vol. 16, no. 6, pp. 704–714, 2016. DOI: 10.1002/fuce.201500215.
[2] C. Cancès, C. Chainais-Hillairet, J. Fuhrmann, and B. Gaudeul, “A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model,” IMA Journal of Numerical Analysis, vol. 41, no. 1, pp. 271–314, 2021. DOI: 10.1093/imanum/draa002.
[3] J. Fuhrmann, C. Guhlke, A. Linke, C. Merdon, and R. Müller, “Models and numerical methods for electrolyte flows,” in Topics in applied analysis and optimisation, 2019, pp. 183–209. DOI: 10.1007/978-3-030-33116-0_8.
[4] M. Landstorfer, C. Guhlke, and W. Dreyer, “Theory and structure of the metal-electrolyte interface incorporating adsorption and solvation effects,” Electrochimica Acta, vol. 201, pp. 187–219, 2016. DOI: 10.1016/j.electacta.2016.03.013.
[5] M. Landstorfer, “Boundary conditions for electrochemical interfaces,” Journal of The Electrochemical Society, vol. 164, no. 11, p. E3671, 2017. DOI: 10.1149/2.0641711jes.
[6] W. DREYER, C. GUHLKE, M. LANDSTORFER, and R. MÜLLER, “New insights on the interfacial tension of electrochemical interfaces and the lippmann equation,” European Journal of Applied Mathematics, vol. 29, no. 4, pp. 708–753, 2018. DOI: 10.1017/S0956792517000341.
[7] G. L. Celora, M. G. Hennessy, A. Münch, B. Wagner, and S. L. Waters, “A kinetic model of a polyelectrolyte gel undergoing phase separation.” WIAS Preprint 2802, 2020. DOI: 10.20347/WIAS.PREPRINT.2802.
[8] G. L. Celora, M. G. Hennessy, Münch, A., B. Wagner, and S. L. Waters, “A kinetic model of a polyelectrolyte gel undergoing phase separation.” WIAS Preprint 2731, 2020. DOI: 10.20347/WIAS.PREPRINT.2731.
[9] J.-L. Liu and B. Eisenberg, “Molecular mean-field theory of ionic solutions: A poisson-nernst-planck-bikerman model,” Entropy, vol. 22, no. 5, 2020. DOI: 10.3390/e22050550.
[10] D. Boda, M. Valiskó, D. Henderson, B. Eisenberg, D. Gillespie, and W. Nonner, “Ionic selectivity in L-type calcium channels by electrostatics and hard-core repulsion,” Journal of General Physiology, vol. 133, no. 5, pp. 497–509, Apr. 2009. DOI: 10.1085/jgp.200910211.
[11] Y. Wang, C. Liu, P. Liu, and B. Eisenberg, “Field theory of reaction-diffusion: Law of mass action with an energetic variational approach,” Phys. Rev. E, vol. 102, no. 6, p. 062147, 2020. DOI: 10.1103/PhysRevE.102.062147.
[12] J. Fuhrmann, B. Gaudeul, and Ch. Keller, “Two entropic finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints,” in Proc. Finite Volumes for Complex Applications X, 2023. DOI: 10.1007/978-3-031-40864-9_23.
[13] Ch. Keller, J. Fuhrmann, and M. Landstorfer, “A model framework for ion channels with selectivity filters based on continuum non-equilibrium thermodynamics,” WIAS Preprint 3072, 2023. DOI: 10.20347/WIAS.PREPRINT.3072.