AA1 – Life Science



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



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.

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.

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