Abstract
Cellular automata are frequently used to model dynamics of spatial systems. This work shows how a so-called structural adjoint sensitivity analysis may be applied to such systems. It is assumed that the cellular automaton has a continuous state, a spatiotemporal input, and is characterized by one scalar objective function specified, for example, in a given optimization or parameter optimization problem. With this analysis, it is possible to calculate efficiently a gradient of the objective function in a space of the spatiotemporal input of the automata. As an example, a model of tumor growth with an introduced spatiotemporal irradiation signal is analysed.
| Original language | English |
|---|---|
| Pages (from-to) | 8897-8905 |
| Number of pages | 9 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 41 |
| Issue number | 18 |
| DOIs | |
| Publication status | Published - Dec 2018 |
Keywords
- cellular automata
- partial differential equations
- sensitivity analysis
- tumor growth
ASJC Scopus subject areas
- General Mathematics
- General Engineering
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