Diffusion through the human skin -- an unexpected application of a PDE- black-box solver CADSOL (Cartesian Arbitrary Domain SOLver) is a black-box solver for the solution of arbitrary nonlinear systems of two-dimensional and three- dimensional elliptic and parabolic partial differential equations with arbitrary nonlinear boundary conditions on arbitrary domains with body- oriented grids. We will present an interesting CADSOL application arising in the current research of the pharmaceutical company Boehringer Ingelheim KG: Diffusion of drugs through the human skin, which has to be regarded in several layers.

References in zbMATH (referenced in 39 articles , 1 standard article )

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  1. Blázquez-Salcedo, Jose Luis; Dariescu, Marina-Aura; Dariescu, Ciprian; Radu, Eugen; Stelea, Cristian: Probing the Ellis-Bronnikov wormhole geometry with a scalar field: clouds, waves and Q-balls (2022)
  2. Collodel, Lucas G.; Kleihaus, Burkhard; Kunz, Jutta; Berti, Emanuele: Spinning and excited black holes in Einstein-scalar-Gauss-Bonnet theory (2020)
  3. Delgado, Jorge F. M.; Herdeiro, Carlos A. R.; Radu, Eugen: Spinning black holes in shift-symmetric Horndeski theory (2020)
  4. Herdeiro, Carlos; Radu, Eugen: Static black holes without spatial isometries: from AdS multipoles to electrovacuum scalarization (2020)
  5. Herdeiro, C.; Perapechka, I.; Radu, E.; Shnir, Ya.: Gravitating solitons and black holes with synchronised hair in the four dimensional O(3) sigma-model (2019)
  6. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Balancing a static black ring with a phantom scalar field (2019)
  7. Delsate, Terence; Herdeiro, Carlos; Radu, Eugen: Non-perturbative spinning black holes in dynamical Chern-Simons gravity (2018)
  8. Herdeiro, C.; Perapechka, I.; Radu, E.; Shnir, Ya.: Skyrmions around Kerr black holes and spinning BHs with Skyrme hair (2018)
  9. Hoffmann, Christian; Ioannidou, Theodora; Kahlen, Sarah; Kleihaus, Burkhard; Kunz, Jutta: Wormholes immersed in rotating matter (2018)
  10. Herdeiro, Carlos; Radu, Eugen; Rúnarsson, Helgi: Kerr black holes with Proca hair (2016)
  11. Kleihaus, Burkhard; Kunz, Jutta; Navarro-Lérida, Francisco: Rotating black holes with non-Abelian hair (2016)
  12. Herdeiro, Carlos; Kunz, Jutta; Radu, Eugen; Subagyo, Bintoro: Myers-Perry black holes with scalar hair and a mass gap: unequal spins (2015)
  13. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Black ringoid in seven dimensions (2015)
  14. Kichakova, Olga; Kunz, Jutta; Radu, Eugen: Spinning gauged boson stars in anti-de Sitter spacetime (2014)
  15. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Black rings in six dimensions (2013)
  16. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: (d\geq5) magnetized static, balanced black holes with (S^2\timesS^d-4) event horizon topology (2013)
  17. Brihaye, Yves; Delsate, Terence; Radu, Eugen: Einstein-Gauss-Bonnet black strings (2010)
  18. Brihaye, Yves; Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Rotating black holes with equal-magnitude angular momenta in d = 5 Einstein-Gauss-Bonnet theory (2010)
  19. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Generalized Weyl solutions in (d = 5) Einstein-Gauss-Bonnet theory: the static black ring (2010)
  20. Ibadov, R.; Kleihaus, B.; Kunz, J.; Neemann, U.: New branches of electrically charged Einstein-Yang-Mills-Higgs solutions (2008)

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