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Presenting a state-of-the-art overview of theoretical and
computational models that link characteristic biomechanical
phenomena, this book provides guidelines and examples for creating
multiscale models in representative systems and organisms. It
develops the reader's understanding of and intuition for multiscale
phenomena in biomechanics and mechanobiology, and introduces a
mathematical framework and computational techniques paramount to
creating predictive multiscale models. Biomechanics involves the
study of the interactions of physical forces with biological
systems at all scales - including molecular, cellular, tissue and
organ scales. The emerging field of mechanobiology focuses on the
way that cells produce and respond to mechanical forces - bridging
the science of mechanics with the disciplines of genetics and
molecular biology. Linking disparate spatial and temporal scales
using computational techniques is emerging as a key concept in
investigating some of the complex problems underlying these
disciplines. Providing an invaluable field manual for graduate
students and researchers of theoretical and computational modelling
in biology, this book is also intended for readers interested in
biomedical engineering, applied mechanics and mathematical biology.
This book contains a collection of papers that were presented at
the IUTAM Symposium on "Computer Models in Biomechanics: From Nano
to Macro" held at Stanford University, California, USA, from August
29 to September 2, 2011. It contains state-of-the-art papers on: -
Protein and Cell Mechanics: coarse-grained model for unfolded
proteins, collagen-proteoglycan structural interactions in the
cornea, simulations of cell behavior on substrates - Muscle
Mechanics: modeling approaches for Ca2+-regulated smooth muscle
contraction, smooth muscle modeling using continuum thermodynamical
frameworks, cross-bridge model describing the mechanoenergetics of
actomyosin interaction, multiscale skeletal muscle modeling -
Cardiovascular Mechanics: multiscale modeling of arterial
adaptations by incorporating molecular mechanisms, cardiovascular
tissue damage, dissection properties of aortic aneurysms,
intracranial aneurysms, electromechanics of the heart, hemodynamic
alterations associated with arterial remodeling following aortic
coarctation, patient-specific surgery planning for the Fontan
procedure - Multiphasic Models: solutes in hydrated biological
tissues, reformulation of mixture theory-based poroelasticity for
interstitial tissue growth, tumor therapies of brain tissue,
remodeling of microcirculation in liver lobes, reactions, mass
transport and mechanics of tumor growth, water transport modeling
in the brain, crack modeling of swelling porous media -
Morphogenesis, Biological Tissues and Organs: mechanisms of brain
morphogenesis, micromechanical modeling of anterior cruciate
ligaments, mechanical characterization of the human liver, in vivo
validation of predictive models for bone remodeling and
mechanobiology, bridging scales in respiratory mechanics
This innovative textbook brings together modern concepts in
mathematical epidemiology, computational modeling, physics-based
simulation, data science, and machine learning to understand one of
the most significant problems of our current time, the outbreak
dynamics and outbreak control of COVID-19. It teaches the relevant
tools to model and simulate nonlinear dynamic systems in view of a
global pandemic that is acutely relevant to human health. If you
are a student, educator, basic scientist, or medical researcher in
the natural or social sciences, or someone passionate about big
data and human health: This book is for you! It serves as a
textbook for undergraduates and graduate students, and a monograph
for researchers and scientists. It can be used in the mathematical
life sciences suitable for courses in applied mathematics,
biomedical engineering, biostatistics, computer science, data
science, epidemiology, health sciences, machine learning,
mathematical biology, numerical methods, and probabilistic
programming. This book is a personal reflection on the role of
data-driven modeling during the COVID-19 pandemic, motivated by the
curiosity to understand it.
Presenting a state-of-the-art overview of theoretical and
computational models that link characteristic biomechanical
phenomena, this book provides guidelines and examples for creating
multiscale models in representative systems and organisms. It
develops the reader's understanding of and intuition for multiscale
phenomena in biomechanics and mechanobiology, and introduces a
mathematical framework and computational techniques paramount to
creating predictive multiscale models. Biomechanics involves the
study of the interactions of physical forces with biological
systems at all scales - including molecular, cellular, tissue and
organ scales. The emerging field of mechanobiology focuses on the
way that cells produce and respond to mechanical forces - bridging
the science of mechanics with the disciplines of genetics and
molecular biology. Linking disparate spatial and temporal scales
using computational techniques is emerging as a key concept in
investigating some of the complex problems underlying these
disciplines. Providing an invaluable field manual for graduate
students and researchers of theoretical and computational modelling
in biology, this book is also intended for readers interested in
biomedical engineering, applied mechanics and mathematical biology.
This book contains a collection of papers that were presented at
the IUTAM Symposium on "Computer Models in Biomechanics: From Nano
to Macro" held at Stanford University, California, USA, from August
29 to September 2, 2011. It contains state-of-the-art papers on: -
Protein and Cell Mechanics: coarse-grained model for unfolded
proteins, collagen-proteoglycan structural interactions in the
cornea, simulations of cell behavior on substrates - Muscle
Mechanics: modeling approaches for Ca2+-regulated smooth muscle
contraction, smooth muscle modeling using continuum thermodynamical
frameworks, cross-bridge model describing the mechanoenergetics of
actomyosin interaction, multiscale skeletal muscle modeling -
Cardiovascular Mechanics: multiscale modeling of arterial
adaptations by incorporating molecular mechanisms, cardiovascular
tissue damage, dissection properties of aortic aneurysms,
intracranial aneurysms, electromechanics of the heart, hemodynamic
alterations associated with arterial remodeling following aortic
coarctation, patient-specific surgery planning for the Fontan
procedure - Multiphasic Models: solutes in hydrated biological
tissues, reformulation of mixture theory-based poroelasticity for
interstitial tissue growth, tumor therapies of brain tissue,
remodeling of microcirculation in liver lobes, reactions, mass
transport and mechanics of tumor growth, water transport modeling
in the brain, crack modeling of swelling porous media -
Morphogenesis, Biological Tissues and Organs: mechanisms of brain
morphogenesis, micromechanical modeling of anterior cruciate
ligaments, mechanical characterization of the human liver, in vivo
validation of predictive models for bone remodeling and
mechanobiology, bridging scales in respiratory mechanics
This innovative textbook brings together modern concepts in
mathematical epidemiology, computational modeling, physics-based
simulation, data science, and machine learning to understand one of
the most significant problems of our current time, the outbreak
dynamics and outbreak control of COVID-19. It teaches the relevant
tools to model and simulate nonlinear dynamic systems in view of a
global pandemic that is acutely relevant to human health. If you
are a student, educator, basic scientist, or medical researcher in
the natural or social sciences, or someone passionate about big
data and human health: This book is for you! It serves as a
textbook for undergraduates and graduate students, and a monograph
for researchers and scientists. It can be used in the mathematical
life sciences suitable for courses in applied mathematics,
biomedical engineering, biostatistics, computer science, data
science, epidemiology, health sciences, machine learning,
mathematical biology, numerical methods, and probabilistic
programming. This book is a personal reflection on the role of
data-driven modeling during the COVID-19 pandemic, motivated by the
curiosity to understand it.
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