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Modeling Biomaterials / edited by Josef Málek, Endre Süli.

Springer Nature - Springer Mathematics and Statistics eBooks 2021 English International Available online

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Format:
Book
Contributor:
Málek, Josef, editor.
Süli, Endre, editor.
Series:
Nečas Center Series, 2523-3351
Language:
English
Subjects (All):
Mathematical models.
Stochastic models.
Markov processes.
Numerical analysis.
Continuum mechanics.
Biomaterials.
Mathematical Modeling and Industrial Mathematics.
Stochastic Modelling.
Markov Process.
Numerical Analysis.
Continuum Mechanics.
Local Subjects:
Mathematical Modeling and Industrial Mathematics.
Stochastic Modelling.
Markov Process.
Numerical Analysis.
Continuum Mechanics.
Biomaterials.
Physical Description:
1 online resource (281 pages)
Edition:
1st ed. 2021.
Place of Publication:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2021.
Summary:
The investigation of the role of mechanical and mechano-chemical interactions in cellular processes and tissue development is a rapidly growing research field in the life sciences and in biomedical engineering. Quantitative understanding of this important area in the study of biological systems requires the development of adequate mathematical models for the simulation of the evolution of these systems in space and time. Since expertise in various fields is necessary, this calls for a multidisciplinary approach. This edited volume connects basic physical, biological, and physiological concepts to methods for the mathematical modeling of various materials by pursuing a multiscale approach, from subcellular to organ and system level. Written by active researchers, each chapter provides a detailed introduction to a given field, illustrates various approaches to creating models, and explores recent advances and future research perspectives. Topics covered include molecular dynamics simulations of lipid membranes, phenomenological continuum mechanics of tissue growth, and translational cardiovascular modeling. Modeling Biomaterials will be a valuable resource for both non-specialists and experienced researchers from various domains of science, such as applied mathematics, biophysics, computational physiology, and medicine. .
Contents:
Farago, O., A Beginner's Short Guide to Membrane Biophysics
Misailidis, G., Ferenc, J., Tsiairis, C., Self-Organization of Tissues through Biochemical and Mechanical Signals
Righi, M., Balbi, V., Foundations of Viscoelasticity and Application to Soft Tissue Mechanics
Klika, V., Modeling of Biomaterials as an Application of the Theory of Mixtures
Miller, R., et al., Modeling Biomechanics in the Healthy and Diseased Heart
Chabiniok, R., et al., Translational Cardiovascular Modeling: Tetralogy of Fallot and Modeling of Diseases.
ISBN:
3-030-88084-2

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