Detail publikačního výsledku

Geometry and Topology in Assessment of PET/CT Prognostic Value

Martin Kovár, Jana Vyroubalová

Originální název

Geometry and Topology in Assessment of PET/CT Prognostic Value

Anglický název

Geometry and Topology in Assessment of PET/CT Prognostic Value

Druh

Stať ve sborníku mimo WoS a Scopus

Originální abstrakt

We will use the theory of differential forms and topological methods to show that the steepness of the increase of the SUV does not provide sufficient information about the prognosis. By analyzing the transport geometry of a radiopharmaceutical using the Stokes and Brunn-Minkowski theorems, we prove that the steepness of the increase in SUV itself does not provide relevant information about the shape and size of the tumor. On the contrary – if one of the parameters, the linear dimension or the shape of the tumor remains unchanged, the increase in SUV per unit time can theoretically reach almost any value between zero and infinity only by changing the other parameter.

Anglický abstrakt

We will use the theory of differential forms and topological methods to show that the steepness of the increase of the SUV does not provide sufficient information about the prognosis. By analyzing the transport geometry of a radiopharmaceutical using the Stokes and Brunn-Minkowski theorems, we prove that the steepness of the increase in SUV itself does not provide relevant information about the shape and size of the tumor. On the contrary – if one of the parameters, the linear dimension or the shape of the tumor remains unchanged, the increase in SUV per unit time can theoretically reach almost any value between zero and infinity only by changing the other parameter.

Klíčová slova

cancer, PET/CT, differential forms, Stokes Theorem, Brunn-Minkowski Theorem

Klíčová slova v angličtině

cancer, PET/CT, differential forms, Stokes Theorem, Brunn-Minkowski Theorem

Autoři

Martin Kovár, Jana Vyroubalová

Vydáno

15.12.2025

Nakladatel

Univerzita obrany, Brno

Místo

Brno

ISBN

978-80-7582-642-8

Kniha

Mathematics, Information Technologies and Applied Sciences 2025

Strany od

44

Strany do

53

Strany počet

10

URL

https://mitav.unob.cz/data/235_FVT_ISBN_642-8_e-kniha.pdf

BibTex

@inproceedings{BUT200823,
  author="Martin {Kovár} and Jana {Vyroubalová}",
  title="Geometry and Topology in Assessment of PET/CT Prognostic Value",
  booktitle="Mathematics, Information Technologies and Applied Sciences 2025",
  year="2025",
  pages="44--53",
  publisher="Univerzita obrany, Brno",
  address="Brno",
  isbn="978-80-7582-642-8",
  url="https://mitav.unob.cz/data/235_FVT_ISBN_642-8_e-kniha.pdf"
}