Finite element analysis of biological systems
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Farida A. Ali
Abstract
Finite element analysis has also been proved to be an excellent computational tool to understand and predict the behavior of complex biological systems. This chapter keenly examines several applications of FEA in biology relating to modelling biomechanical structures, physiological processes, and tissue mechanics. It begins with the basic principles of FEA, such as mesh generation, boundary conditions, material properties, and their possible adaptation to biological contexts. It then presents several case studies from various applications of FEA, including stress analysis in bones and implants, fluid dynamics in particular, and deformation of soft tissue. Throughout, frequent comments are made about how nonlinear, anisotropic, and heterogeneous materials are typically modeled in biological systems. It introduces some promising new trends in the field, such as the incorporation of FEA with medical imaging, machine learning, and multiscale modeling, thus hinting at future trends in this field. Finally, this chapter creates an opportunity for researchers and practitioners to equip themselves with what is necessary to upgrade FEA methodology to address important questions in the fields of biomedical engineering and life science by combining theoretical foundations with practical applicability.
Abstract
Finite element analysis has also been proved to be an excellent computational tool to understand and predict the behavior of complex biological systems. This chapter keenly examines several applications of FEA in biology relating to modelling biomechanical structures, physiological processes, and tissue mechanics. It begins with the basic principles of FEA, such as mesh generation, boundary conditions, material properties, and their possible adaptation to biological contexts. It then presents several case studies from various applications of FEA, including stress analysis in bones and implants, fluid dynamics in particular, and deformation of soft tissue. Throughout, frequent comments are made about how nonlinear, anisotropic, and heterogeneous materials are typically modeled in biological systems. It introduces some promising new trends in the field, such as the incorporation of FEA with medical imaging, machine learning, and multiscale modeling, thus hinting at future trends in this field. Finally, this chapter creates an opportunity for researchers and practitioners to equip themselves with what is necessary to upgrade FEA methodology to address important questions in the fields of biomedical engineering and life science by combining theoretical foundations with practical applicability.
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- Love wave propagation in layered piezoelectric structures for sensor-based applications 1
- A safe-ML model for assessing head loss in a subject-specific human femoral arterial network 11
- Fluid dynamics of transportation of viscoelastic fluids through inclined circular cylindrical tubes and its application in biological systems 31
- Numerical computation of Crane-type MHD Casson (blood type) stagnation point fluid flow past a stretching sheet 45
- Bioconvective MHD Casson fluid flow with motile microorganisms on a moving flat plate embedded in a porous medium 59
- Stability analysis of convection in rotating fluid layers with triple diffusion 73
- Groundwater contamination in heterogeneous semi-infinite aquifers for 1-D flow 85
- Convection in the boundary layer with uniform heat flux from a rectangular cavity’s side walls enclosed by porous lining 99
- Natural convection in a rectangular cavity bounded by porous lining 113
- Analysis of delayed mosquito life-cycle model 127
- Reflection and transmission of plane waves between two initially stressed rotating nonlocal orthotropic microstretch thermoelastic half-spaces with imperfect interface 137
- Nonlocal thermoelasticity of Klein–Gordon type: constitutive modelling in a piezoelectric microbeam resonator with memory effect 159
- Mathematical perspectives on biomechanical signal processing 179
- Numerical simulation of thermal performance in a hybrid nanofluid filled chamber with a heat producing element 221
- Non-Darcian flow of bioconvective viscoelastic fluid in a convectively heated elongating surface with variable heat source and energy activation 239
- Finite element analysis of biological systems 255
- Numerical analysis of free convective heat-transfer characteristics of a non-Newtonian (Casson) fluid in a heated permeable cavity under the effects of thermal radiation 279
- Graph-theoretical insights into resting-state EEG: a mathematical approach to psychiatric disorder analysis 289
- Index 317
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- Love wave propagation in layered piezoelectric structures for sensor-based applications 1
- A safe-ML model for assessing head loss in a subject-specific human femoral arterial network 11
- Fluid dynamics of transportation of viscoelastic fluids through inclined circular cylindrical tubes and its application in biological systems 31
- Numerical computation of Crane-type MHD Casson (blood type) stagnation point fluid flow past a stretching sheet 45
- Bioconvective MHD Casson fluid flow with motile microorganisms on a moving flat plate embedded in a porous medium 59
- Stability analysis of convection in rotating fluid layers with triple diffusion 73
- Groundwater contamination in heterogeneous semi-infinite aquifers for 1-D flow 85
- Convection in the boundary layer with uniform heat flux from a rectangular cavity’s side walls enclosed by porous lining 99
- Natural convection in a rectangular cavity bounded by porous lining 113
- Analysis of delayed mosquito life-cycle model 127
- Reflection and transmission of plane waves between two initially stressed rotating nonlocal orthotropic microstretch thermoelastic half-spaces with imperfect interface 137
- Nonlocal thermoelasticity of Klein–Gordon type: constitutive modelling in a piezoelectric microbeam resonator with memory effect 159
- Mathematical perspectives on biomechanical signal processing 179
- Numerical simulation of thermal performance in a hybrid nanofluid filled chamber with a heat producing element 221
- Non-Darcian flow of bioconvective viscoelastic fluid in a convectively heated elongating surface with variable heat source and energy activation 239
- Finite element analysis of biological systems 255
- Numerical analysis of free convective heat-transfer characteristics of a non-Newtonian (Casson) fluid in a heated permeable cavity under the effects of thermal radiation 279
- Graph-theoretical insights into resting-state EEG: a mathematical approach to psychiatric disorder analysis 289
- Index 317
