File:The manifold paths of biology (8535460319).jpg
Original file (7,155 × 2,931 pixels, file size: 1.95 MB, MIME type: image/jpeg)
Captions
Summary
[edit]DescriptionThe manifold paths of biology (8535460319).jpg |
Hidden mathematical structure may be used to reveal hidden biological structure. These images are low dimensional projections of samples from a high dimensional probability distribution. Exploring such distributions is vital for Bayesian statistical inference of mechanistic biological models, which can shed light on the most likely hidden physical structure of a biological system, such as a cell signalling network, based on limited experimental observations. The left hand image shows a random walk through the probability space of a mechanistic biological model, with the red lines representing rejected moves and hence wasted computational effort. The right hand image utilises an additional hidden geometric structure; by representing the probability space as a Riemannian manifold, moves can be made along "geodesics" or shortest paths between two points. The resulting exploration is orders of magnitude faster than a random walk, and makes possible probabilistic ranking of complex biological hypotheses. Image by Dr Ben Calderhead (UCL CoMPLEX, Centre for Mathematics and Physical Sciences in the Life Sciences and Experimental Biology) |
Date | |
Source | The manifold paths of biology |
Author | UCL Mathematical & Physical Sciences from London, UK |
Licensing
[edit]- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
This image was originally posted to Flickr by UCL Mathematical & Physical Sciences at https://flickr.com/photos/93636241@N07/8535460319. It was reviewed on 5 December 2020 by FlickreviewR 2 and was confirmed to be licensed under the terms of the cc-by-2.0. |
5 December 2020
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 11:14, 5 December 2020 | 7,155 × 2,931 (1.95 MB) | Eyes Roger (talk | contribs) | Transferred from Flickr via #flickr2commons |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on vi.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Orientation | Normal |
---|---|
Horizontal resolution | 150 dpi |
Vertical resolution | 150 dpi |
File change date and time | 22:18, 15 November 2012 |