Modeling and Simulation of Hairy Root Growth

Peter Bastian; Jenny Bauer; Andrés Chavarría-Krauser; Christian Engwer; Willi Jäger; Sven Marnach; Mariya Ptashnyk; Bernhard Wetterauer

doi:10.1007/978-3-540-77203-3_8

Modeling and Simulation of Hairy Root Growth

Peter Bastian, Jenny Bauer, Andrés Chavarría-Krauser, Christian Engwer, Willi Jäger, Sven Marnach, Mariya Ptashnyk, Bernhard Wetterauer

Research output: Chapter in Book/Report/Conference proceeding › Chapter

3 Citations (Scopus)

Abstract

A multiscale approach is presented to model growth of hairy roots. On the macroscopic scale, a continuous model is derived, which includes growth and nutrient transport. Water transport is considered on the microscopic scale. A Discontinuous Galerkin scheme for complex geometries is used to compute the permeability of root bulks. This permeability constitutes the linkage between microand macroscopic scale. The models are applied then to describe shaker cultures of hairy roots and simulations are compared to measurements.

Original language	English
Title of host publication	Mathematics - Key Technology for the Future
Subtitle of host publication	Joint Projects Between Universities and Industry 2004-2007
Publisher	Springer
Pages	101-115
Number of pages	15
ISBN (Electronic)	9783540772033
ISBN (Print)	9783540772026, 9783642095900
DOIs	https://doi.org/10.1007/978-3-540-77203-3_8
Publication status	Published - 24 Apr 2008

Keywords

Hairy Root
Hairy Root Culture
Macroscopic Scale
Microscopic Scale
Discontinuous Galerkin Method

ASJC Scopus subject areas

General Mathematics

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10.1007/978-3-540-77203-3_8

Cite this

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abstract = "A multiscale approach is presented to model growth of hairy roots. On the macroscopic scale, a continuous model is derived, which includes growth and nutrient transport. Water transport is considered on the microscopic scale. A Discontinuous Galerkin scheme for complex geometries is used to compute the permeability of root bulks. This permeability constitutes the linkage between microand macroscopic scale. The models are applied then to describe shaker cultures of hairy roots and simulations are compared to measurements.",

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T1 - Modeling and Simulation of Hairy Root Growth

AU - Bastian, Peter

AU - Bauer, Jenny

AU - Chavarría-Krauser, Andrés

AU - Engwer, Christian

AU - Jäger, Willi

AU - Marnach, Sven

AU - Ptashnyk, Mariya

AU - Wetterauer, Bernhard

PY - 2008/4/24

Y1 - 2008/4/24

N2 - A multiscale approach is presented to model growth of hairy roots. On the macroscopic scale, a continuous model is derived, which includes growth and nutrient transport. Water transport is considered on the microscopic scale. A Discontinuous Galerkin scheme for complex geometries is used to compute the permeability of root bulks. This permeability constitutes the linkage between microand macroscopic scale. The models are applied then to describe shaker cultures of hairy roots and simulations are compared to measurements.

AB - A multiscale approach is presented to model growth of hairy roots. On the macroscopic scale, a continuous model is derived, which includes growth and nutrient transport. Water transport is considered on the microscopic scale. A Discontinuous Galerkin scheme for complex geometries is used to compute the permeability of root bulks. This permeability constitutes the linkage between microand macroscopic scale. The models are applied then to describe shaker cultures of hairy roots and simulations are compared to measurements.

KW - Hairy Root

KW - Hairy Root Culture

KW - Macroscopic Scale

KW - Microscopic Scale

KW - Discontinuous Galerkin Method

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DO - 10.1007/978-3-540-77203-3_8

M3 - Chapter

AN - SCOPUS:84892087721

SN - 9783540772026

SN - 9783642095900

SP - 101

EP - 115

BT - Mathematics - Key Technology for the Future

PB - Springer

ER -

Modeling and Simulation of Hairy Root Growth

Abstract

Keywords

ASJC Scopus subject areas

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