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Continuum Modeling in Mechanobiology [electronic resource] / by Larry A. Taber.

By: Taber, Larry A [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Cham : Springer International Publishing : Imprint: Springer, 2020Edition: 1st ed. 2020.Description: XVII, 535 p. 310 illus., 196 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030432096.Subject(s): Biomedical engineering | Mechanical engineering | Regenerative medicine | Biomedical Engineering and Bioengineering | Mechanical Engineering | Regenerative Medicine and Tissue EngineeringAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 610.28 Online resources: Click here to access online
Contents:
From the Contents: Introduction -- Vectors and tensors -- Coordinate transformation -- Tensor invariants -- Special tensors -- Vector and tensor calculus -- Nonlinear Elasticity -- Kinematics -- Stress -- Balance principles -- Constitutive equations -- Boundary value problems.
In: Springer Nature eBookSummary: This book examines key theoretical tools that are currently used to develop mathematical models as an aid in understanding the biological response of cells and tissues to mechanical stimuli. Problems in growth and remodeling, tissue and organ development, and functional adaptation are all covered. Chapters on tensor analysis and nonlinear elasticity provide the necessary background for understanding the engineering theories that are currently used to solve challenges in mechanobiology. This is an ideal book for biomechanical engineers who work on problems in mechanobiology and tissue engineering. Broadens readers’ understanding of nonlinear elasticity, contractility, growth and remodeling theory, and mechanical feedback in development Includes numerous quantitative examples to illustrate basic theoretical mechanobiology concepts, such as active force generation, theories for growth and remodeling, and morphogenesis Illustrates theories with numerous applications to specific problems, such as cardiac mechanics, growth (and remodeling) of the heart and arteries, and embryonic development of the heart, brain, and gut.
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From the Contents: Introduction -- Vectors and tensors -- Coordinate transformation -- Tensor invariants -- Special tensors -- Vector and tensor calculus -- Nonlinear Elasticity -- Kinematics -- Stress -- Balance principles -- Constitutive equations -- Boundary value problems.

This book examines key theoretical tools that are currently used to develop mathematical models as an aid in understanding the biological response of cells and tissues to mechanical stimuli. Problems in growth and remodeling, tissue and organ development, and functional adaptation are all covered. Chapters on tensor analysis and nonlinear elasticity provide the necessary background for understanding the engineering theories that are currently used to solve challenges in mechanobiology. This is an ideal book for biomechanical engineers who work on problems in mechanobiology and tissue engineering. Broadens readers’ understanding of nonlinear elasticity, contractility, growth and remodeling theory, and mechanical feedback in development Includes numerous quantitative examples to illustrate basic theoretical mechanobiology concepts, such as active force generation, theories for growth and remodeling, and morphogenesis Illustrates theories with numerous applications to specific problems, such as cardiac mechanics, growth (and remodeling) of the heart and arteries, and embryonic development of the heart, brain, and gut.

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