Functional inference of complex anatomical tendinous networks at a macroscopic scale via sparse experimentation.

In systems and computational biology, much effort is devoted to functional identification of systems and networks at the molecular-or cellular scale. However, similarly important networks exist at anatomical scales such as the tendon network of human fingers: the complex array of collagen fibers tha...

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Main Authors: Anupam Saxena, Hod Lipson, Francisco J Valero-Cuevas
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2012-01-01
Series:PLoS Computational Biology
Online Access:http://europepmc.org/articles/PMC3493461?pdf=render
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spelling doaj-e76c9cdd566d495daf82c187e4df29142020-11-25T01:32:26ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582012-01-01811e100275110.1371/journal.pcbi.1002751Functional inference of complex anatomical tendinous networks at a macroscopic scale via sparse experimentation.Anupam SaxenaHod LipsonFrancisco J Valero-CuevasIn systems and computational biology, much effort is devoted to functional identification of systems and networks at the molecular-or cellular scale. However, similarly important networks exist at anatomical scales such as the tendon network of human fingers: the complex array of collagen fibers that transmits and distributes muscle forces to finger joints. This network is critical to the versatility of the human hand, and its function has been debated since at least the 16(th) century. Here, we experimentally infer the structure (both topology and parameter values) of this network through sparse interrogation with force inputs. A population of models representing this structure co-evolves in simulation with a population of informative future force inputs via the predator-prey estimation-exploration algorithm. Model fitness depends on their ability to explain experimental data, while the fitness of future force inputs depends on causing maximal functional discrepancy among current models. We validate our approach by inferring two known synthetic Latex networks, and one anatomical tendon network harvested from a cadaver's middle finger. We find that functionally similar but structurally diverse models can exist within a narrow range of the training set and cross-validation errors. For the Latex networks, models with low training set error [<4%] and resembling the known network have the smallest cross-validation errors [∼5%]. The low training set [<4%] and cross validation [<7.2%] errors for models for the cadaveric specimen demonstrate what, to our knowledge, is the first experimental inference of the functional structure of complex anatomical networks. This work expands current bioinformatics inference approaches by demonstrating that sparse, yet informative interrogation of biological specimens holds significant computational advantages in accurate and efficient inference over random testing, or assuming model topology and only inferring parameters values. These findings also hold clues to both our evolutionary history and the development of versatile machines.http://europepmc.org/articles/PMC3493461?pdf=render
collection DOAJ
language English
format Article
sources DOAJ
author Anupam Saxena
Hod Lipson
Francisco J Valero-Cuevas
spellingShingle Anupam Saxena
Hod Lipson
Francisco J Valero-Cuevas
Functional inference of complex anatomical tendinous networks at a macroscopic scale via sparse experimentation.
PLoS Computational Biology
author_facet Anupam Saxena
Hod Lipson
Francisco J Valero-Cuevas
author_sort Anupam Saxena
title Functional inference of complex anatomical tendinous networks at a macroscopic scale via sparse experimentation.
title_short Functional inference of complex anatomical tendinous networks at a macroscopic scale via sparse experimentation.
title_full Functional inference of complex anatomical tendinous networks at a macroscopic scale via sparse experimentation.
title_fullStr Functional inference of complex anatomical tendinous networks at a macroscopic scale via sparse experimentation.
title_full_unstemmed Functional inference of complex anatomical tendinous networks at a macroscopic scale via sparse experimentation.
title_sort functional inference of complex anatomical tendinous networks at a macroscopic scale via sparse experimentation.
publisher Public Library of Science (PLoS)
series PLoS Computational Biology
issn 1553-734X
1553-7358
publishDate 2012-01-01
description In systems and computational biology, much effort is devoted to functional identification of systems and networks at the molecular-or cellular scale. However, similarly important networks exist at anatomical scales such as the tendon network of human fingers: the complex array of collagen fibers that transmits and distributes muscle forces to finger joints. This network is critical to the versatility of the human hand, and its function has been debated since at least the 16(th) century. Here, we experimentally infer the structure (both topology and parameter values) of this network through sparse interrogation with force inputs. A population of models representing this structure co-evolves in simulation with a population of informative future force inputs via the predator-prey estimation-exploration algorithm. Model fitness depends on their ability to explain experimental data, while the fitness of future force inputs depends on causing maximal functional discrepancy among current models. We validate our approach by inferring two known synthetic Latex networks, and one anatomical tendon network harvested from a cadaver's middle finger. We find that functionally similar but structurally diverse models can exist within a narrow range of the training set and cross-validation errors. For the Latex networks, models with low training set error [<4%] and resembling the known network have the smallest cross-validation errors [∼5%]. The low training set [<4%] and cross validation [<7.2%] errors for models for the cadaveric specimen demonstrate what, to our knowledge, is the first experimental inference of the functional structure of complex anatomical networks. This work expands current bioinformatics inference approaches by demonstrating that sparse, yet informative interrogation of biological specimens holds significant computational advantages in accurate and efficient inference over random testing, or assuming model topology and only inferring parameters values. These findings also hold clues to both our evolutionary history and the development of versatile machines.
url http://europepmc.org/articles/PMC3493461?pdf=render
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