Multiscale computational model of Achilles tendon wound healing: Untangling the effects of repair and loading.

Mechanical stimulation of the healing tendon is thought to regulate scar anisotropy and strength and is relatively easy to modulate through physical therapy. However, in vivo studies of various loading protocols in animal models have produced mixed results. To integrate and better understand the ava...

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Main Authors: Kellen Chen, Xiao Hu, Silvia S Blemker, Jeffrey W Holmes
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2018-12-01
Series:PLoS Computational Biology
Online Access:https://doi.org/10.1371/journal.pcbi.1006652
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spelling doaj-aa570b070fe14594be06c95575c9316d2021-04-21T15:12:20ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582018-12-011412e100665210.1371/journal.pcbi.1006652Multiscale computational model of Achilles tendon wound healing: Untangling the effects of repair and loading.Kellen ChenXiao HuSilvia S BlemkerJeffrey W HolmesMechanical stimulation of the healing tendon is thought to regulate scar anisotropy and strength and is relatively easy to modulate through physical therapy. However, in vivo studies of various loading protocols in animal models have produced mixed results. To integrate and better understand the available data, we developed a multiscale model of rat Achilles tendon healing that incorporates the effect of changes in the mechanical environment on fibroblast behavior, collagen deposition, and scar formation. We modified an OpenSim model of the rat right hindlimb to estimate physiologic strains in the lateral/medial gastrocnemius and soleus musculo-tendon units during loading and unloading conditions. We used the tendon strains as inputs to a thermodynamic model of stress fiber dynamics that predicts fibroblast alignment, and to determine local collagen synthesis rates according to a response curve derived from in vitro studies. We then used an agent-based model (ABM) of scar formation to integrate these cell-level responses and predict tissue-level collagen alignment and content. We compared our model predictions to experimental data from ten different studies. We found that a single set of cellular response curves can explain features of observed tendon healing across a wide array of reported experiments in rats-including the paradoxical finding that repairing transected tendon reverses the effect of loading on alignment-without fitting model parameters to any data from those experiments. The key to these successful predictions was simulating the specific loading and surgical protocols to predict tissue-level strains, which then guided cellular behaviors according to response curves based on in vitro experiments. Our model results provide a potential explanation for the highly variable responses to mechanical loading reported in the tendon healing literature and may be useful in guiding the design of future experiments and interventions.https://doi.org/10.1371/journal.pcbi.1006652
collection DOAJ
language English
format Article
sources DOAJ
author Kellen Chen
Xiao Hu
Silvia S Blemker
Jeffrey W Holmes
spellingShingle Kellen Chen
Xiao Hu
Silvia S Blemker
Jeffrey W Holmes
Multiscale computational model of Achilles tendon wound healing: Untangling the effects of repair and loading.
PLoS Computational Biology
author_facet Kellen Chen
Xiao Hu
Silvia S Blemker
Jeffrey W Holmes
author_sort Kellen Chen
title Multiscale computational model of Achilles tendon wound healing: Untangling the effects of repair and loading.
title_short Multiscale computational model of Achilles tendon wound healing: Untangling the effects of repair and loading.
title_full Multiscale computational model of Achilles tendon wound healing: Untangling the effects of repair and loading.
title_fullStr Multiscale computational model of Achilles tendon wound healing: Untangling the effects of repair and loading.
title_full_unstemmed Multiscale computational model of Achilles tendon wound healing: Untangling the effects of repair and loading.
title_sort multiscale computational model of achilles tendon wound healing: untangling the effects of repair and loading.
publisher Public Library of Science (PLoS)
series PLoS Computational Biology
issn 1553-734X
1553-7358
publishDate 2018-12-01
description Mechanical stimulation of the healing tendon is thought to regulate scar anisotropy and strength and is relatively easy to modulate through physical therapy. However, in vivo studies of various loading protocols in animal models have produced mixed results. To integrate and better understand the available data, we developed a multiscale model of rat Achilles tendon healing that incorporates the effect of changes in the mechanical environment on fibroblast behavior, collagen deposition, and scar formation. We modified an OpenSim model of the rat right hindlimb to estimate physiologic strains in the lateral/medial gastrocnemius and soleus musculo-tendon units during loading and unloading conditions. We used the tendon strains as inputs to a thermodynamic model of stress fiber dynamics that predicts fibroblast alignment, and to determine local collagen synthesis rates according to a response curve derived from in vitro studies. We then used an agent-based model (ABM) of scar formation to integrate these cell-level responses and predict tissue-level collagen alignment and content. We compared our model predictions to experimental data from ten different studies. We found that a single set of cellular response curves can explain features of observed tendon healing across a wide array of reported experiments in rats-including the paradoxical finding that repairing transected tendon reverses the effect of loading on alignment-without fitting model parameters to any data from those experiments. The key to these successful predictions was simulating the specific loading and surgical protocols to predict tissue-level strains, which then guided cellular behaviors according to response curves based on in vitro experiments. Our model results provide a potential explanation for the highly variable responses to mechanical loading reported in the tendon healing literature and may be useful in guiding the design of future experiments and interventions.
url https://doi.org/10.1371/journal.pcbi.1006652
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