Towards a Model-Based Experimental Design of the Maturation Process of Biohybrid Heart Valves

Kirsten Voß; Lorenz Pyta; Jonas Gesenhues; Petra Mela; Thomas Schmitz-Rode; Dirk Abel

doi:10.1016/j.ifacol.2019.12.245

Towards a Model-Based Experimental Design of the Maturation Process of Biohybrid Heart Valves

Kirsten Voß, Lorenz Pyta, Jonas Gesenhues, Petra Mela, Thomas Schmitz-Rode, Dirk Abel

RWTH Aachen University

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

Model-based experimental designs minimize the experimental effort while maximizing the amount of analyzable experimental data. In this paper, an initial mathematical model of the spatially distributed maturation process of tissue engineered heart valves is developed for a model-based experimental design. The model contains the state variables cell amount, collagen concentration and elastin concentration. Based on the developed model, a variance-based sensitivity analysis using Sobol's method is performed. The results indicate that all model parameters influence the model solution, while the variance of the parameters related to cell diffusion comprises an exceeding influence. Consequently, corresponding experiments should especially focus on those parameters.

Original language	English
Pages (from-to)	113-120
Number of pages	8
Journal	IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume	52
Issue number	26
DOIs	https://doi.org/10.1016/j.ifacol.2019.12.245
State	Published - 2019
Externally published	Yes
Event	8th Conference on Foundations of Systems Biology in Engineering, FOSBE 2019 - Valencia, Spain Duration: 15 Oct 2019 → 18 Oct 2019

Keywords

Distributed parameter systems
Mathematical models
Model-based experimental design
Numerical analysis
Sensitivity analysis
Tissue engineering

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10.1016/j.ifacol.2019.12.245

Cite this

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title = "Towards a Model-Based Experimental Design of the Maturation Process of Biohybrid Heart Valves",

abstract = "Model-based experimental designs minimize the experimental effort while maximizing the amount of analyzable experimental data. In this paper, an initial mathematical model of the spatially distributed maturation process of tissue engineered heart valves is developed for a model-based experimental design. The model contains the state variables cell amount, collagen concentration and elastin concentration. Based on the developed model, a variance-based sensitivity analysis using Sobol's method is performed. The results indicate that all model parameters influence the model solution, while the variance of the parameters related to cell diffusion comprises an exceeding influence. Consequently, corresponding experiments should especially focus on those parameters.",

keywords = "Distributed parameter systems, Mathematical models, Model-based experimental design, Numerical analysis, Sensitivity analysis, Tissue engineering",

author = "Kirsten Vo{\ss} and Lorenz Pyta and Jonas Gesenhues and Petra Mela and Thomas Schmitz-Rode and Dirk Abel",

note = "Publisher Copyright: {\textcopyright} 2019 IFAC-PapersOnLine. All rights reserved.; 8th Conference on Foundations of Systems Biology in Engineering, FOSBE 2019 ; Conference date: 15-10-2019 Through 18-10-2019",

year = "2019",

doi = "10.1016/j.ifacol.2019.12.245",

language = "English",

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pages = "113--120",

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T1 - Towards a Model-Based Experimental Design of the Maturation Process of Biohybrid Heart Valves

AU - Voß, Kirsten

AU - Pyta, Lorenz

AU - Gesenhues, Jonas

AU - Mela, Petra

AU - Schmitz-Rode, Thomas

AU - Abel, Dirk

PY - 2019

Y1 - 2019

N2 - Model-based experimental designs minimize the experimental effort while maximizing the amount of analyzable experimental data. In this paper, an initial mathematical model of the spatially distributed maturation process of tissue engineered heart valves is developed for a model-based experimental design. The model contains the state variables cell amount, collagen concentration and elastin concentration. Based on the developed model, a variance-based sensitivity analysis using Sobol's method is performed. The results indicate that all model parameters influence the model solution, while the variance of the parameters related to cell diffusion comprises an exceeding influence. Consequently, corresponding experiments should especially focus on those parameters.

AB - Model-based experimental designs minimize the experimental effort while maximizing the amount of analyzable experimental data. In this paper, an initial mathematical model of the spatially distributed maturation process of tissue engineered heart valves is developed for a model-based experimental design. The model contains the state variables cell amount, collagen concentration and elastin concentration. Based on the developed model, a variance-based sensitivity analysis using Sobol's method is performed. The results indicate that all model parameters influence the model solution, while the variance of the parameters related to cell diffusion comprises an exceeding influence. Consequently, corresponding experiments should especially focus on those parameters.

KW - Distributed parameter systems

KW - Mathematical models

KW - Model-based experimental design

KW - Numerical analysis

KW - Sensitivity analysis

KW - Tissue engineering

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DO - 10.1016/j.ifacol.2019.12.245

M3 - Conference article

AN - SCOPUS:85080920316

SN - 1474-6670

VL - 52

SP - 113

EP - 120

JO - IFAC Proceedings Volumes (IFAC-PapersOnline)

JF - IFAC Proceedings Volumes (IFAC-PapersOnline)

IS - 26

T2 - 8th Conference on Foundations of Systems Biology in Engineering, FOSBE 2019

Y2 - 15 October 2019 through 18 October 2019

ER -

Towards a Model-Based Experimental Design of the Maturation Process of Biohybrid Heart Valves

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Keywords

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