<div class="csl-bib-body">
<div class="csl-entry">Schindler, M., Amirkhanov, A., & Raidou, R. G. (2023). Smoke Surfaces of 4D Biological Dynamical Systems. In T. Höllt & D. Jönsson (Eds.), <i>VCBM 2023: Eurographics Workshop on Visual Computing for Biology and Medicine</i> (pp. 93–97). The Eurographics Association. https://doi.org/10.2312/vcbm.20231217</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/193253
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dc.description.abstract
To study biological phenomena, mathematical biologists often employ modeling with ordinary differential equations. A system of ordinary differential equations that describes the state of a phenomenon as a moving point in space across time is known as a dynamical system. This moving point emerges from the initial condition of the system and is referred to as a trajectory that “lives” in phase space, i.e., a space that defines all possible states of the system. In our previous work, we proposed ManyLands [AKS∗19]-an approach to explore and analyze typical trajectories of 4D dynamical systems, using smooth, animated transitions to navigate through phase space. However, in ManyLands the comparison of multiple trajectories emerging from different initial conditions does not scale well, due to overdrawing that clutters the view. We extend ManyLands to support the comparative visualization of multiple trajectories of a 4D dynamical system, making use of smoke surfaces. In this way, the sensitivity of the dynamical system to its initialization can be investigated. The 4D smoke surfaces can be further projected onto lower-dimensional subspaces (3D and 2D) with seamless animated transitions. We showcase the capabilities of our approach using two 4D dynamical systems from biology [Gol11, KJS06] and a 4D dynamical system exhibiting chaotic behavior [Bou15].
en
dc.language.iso
en
-
dc.subject
rendering
en
dc.subject
Human-centered computing
en
dc.subject
scientific visualization
en
dc.subject
Applied computing
en
dc.subject
Life and medical sciences
en
dc.title
Smoke Surfaces of 4D Biological Dynamical Systems
en
dc.type
Inproceedings
en
dc.type
Konferenzbeitrag
de
dc.relation.publication
VCBM 2023: Eurographics Workshop on Visual Computing for Biology and Medicine
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dc.contributor.affiliation
TU Wien, Austria
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dc.relation.isbn
978-3-03868-010-9
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dc.relation.issn
2070-5786
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dc.description.startpage
93
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dc.description.endpage
97
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dc.type.category
Full-Paper Contribution
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tuw.booktitle
VCBM 2023: Eurographics Workshop on Visual Computing for Biology and Medicine
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tuw.peerreviewed
true
-
tuw.relation.publisher
The Eurographics Association
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tuw.researchTopic.id
I5
-
tuw.researchTopic.id
C5
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tuw.researchTopic.name
Visual Computing and Human-Centered Technology
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tuw.researchTopic.name
Computer Science Foundations
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tuw.researchTopic.value
50
-
tuw.researchTopic.value
50
-
tuw.publication.orgunit
E193-02 - Forschungsbereich Computer Graphics
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tuw.publisher.doi
10.2312/vcbm.20231217
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dc.description.numberOfPages
5
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tuw.author.orcid
0000-0003-2468-0664
-
tuw.event.name
EG VCBM 2023
en
tuw.event.startdate
20-09-2023
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tuw.event.enddate
22-09-2023
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.country
SE
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tuw.event.presenter
Schindler, Marwin
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wb.sciencebranch
Gesundheitswissenschaften
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wb.sciencebranch
Informatik
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
3030
-
wb.sciencebranch.oefos
1020
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
5
-
wb.sciencebranch.value
90
-
wb.sciencebranch.value
5
-
item.fulltext
no Fulltext
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item.languageiso639-1
en
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item.openairecristype
http://purl.org/coar/resource_type/c_5794
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item.openairetype
conference paper
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item.grantfulltext
none
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item.cerifentitytype
Publications
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crisitem.author.dept
TU Wien, Austria
-
crisitem.author.dept
E193-02 - Forschungsbereich Computer Graphics
-
crisitem.author.dept
E193-02 - Forschungsbereich Computer Graphics
-
crisitem.author.orcid
0000-0003-2468-0664
-
crisitem.author.parentorg
E193 - Institut für Visual Computing and Human-Centered Technology
-
crisitem.author.parentorg
E193 - Institut für Visual Computing and Human-Centered Technology