Graph-theoretical insights into resting-state EEG: a mathematical approach to psychiatric disorder analysis
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Shoba Pandian
Abstract
The application of graph theory principles has greatly enhanced the ability to analyze complex structures in a straightforward and accessible manner. Among these structures, the human brain stands out as one of the most intricate that can be explored. By representing the human brain as a graphgraph, one can utilize graph theory to gain a significant understanding of its complexities. In this paper, we present a case study on Major Psychiatric Disorders, utilizing Resting-State Electroencephalography (EEGEEG) in order to analyze the brain regions, referred to as nodes, that are particularly active during these disorders, using the principle of dominationdomination as a methodological approach. This method makes it easier to comprehend the brain’s basic processes in the context of these disorders, which may benefit the therapeutic management of affected patients. For data analysis and computation, we used Python with the following packages: MNE, NumPy, Matplotlib, Seaborn, NetworkX, itertools, and collections.
Abstract
The application of graph theory principles has greatly enhanced the ability to analyze complex structures in a straightforward and accessible manner. Among these structures, the human brain stands out as one of the most intricate that can be explored. By representing the human brain as a graphgraph, one can utilize graph theory to gain a significant understanding of its complexities. In this paper, we present a case study on Major Psychiatric Disorders, utilizing Resting-State Electroencephalography (EEGEEG) in order to analyze the brain regions, referred to as nodes, that are particularly active during these disorders, using the principle of dominationdomination as a methodological approach. This method makes it easier to comprehend the brain’s basic processes in the context of these disorders, which may benefit the therapeutic management of affected patients. For data analysis and computation, we used Python with the following packages: MNE, NumPy, Matplotlib, Seaborn, NetworkX, itertools, and collections.
Kapitel in diesem Buch
- 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
Kapitel in diesem Buch
- 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
