Freezing of Living Cells: Mathematical Models and Design of Optimal Cooling Protocols

DOI10.1007/978-3-0348-0133-1_27zbMath1356.93008OpenAlexW143687499MaRDI QIDQ2961084

Karl-Heinz Hoffmann, Nikolai D. Botkin, Varvara L. Turova

Publication date: 17 February 2017

Published in: International Series of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0133-1_27

zbMATH Keywords

differential gameHamilton-Jacobi equationsfinite-difference schemereachable setsoptimal cooling rate

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Applications of optimal control and differential games (49N90) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Attainable sets, reachability (93B03) Pursuit and evasion games (49N75) Hamilton-Jacobi equations (35F21)

Cites Work

• From Dubins' car to Reeds and Shepp's mobile robot
• Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
• An analysis of a phase field model of a free boundary
• Simulation of micro-scale interaction between ice and biological cells.
• Optimal control of a phase field model for solidification
• Two Approximations of Solutions of Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• Osmotically driven intracellular transport phenomena
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