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Applied Mathematical Modeling for Biomedical Robotics and Wearable Devices.

Knovel Pharmaceuticals Cosmetics & Toiletries Academic Available online

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Format:
Book
Author/Creator:
Sountharrajan, S.
Contributor:
Karthiga, M.
Balasamy, Balamurugan.
Bashir, Ali Kashif.
Series:
Medical Robots and Devices: New Developments and Advances Series
Language:
English
Physical Description:
1 online resource (301 pages)
Edition:
1st ed.
Place of Publication:
Chantilly : Elsevier Science & Technology, 2025.
Summary:
Applied Mathematical Modelling for Biomedical Robotics and Wearable Devices offers readers a comprehensive and practical exploration of the integration of mathematical modelling in biomedical engineering.
Contents:
Front Cover
Applied Mathematical Modeling for Biomedical Robotics and Wearable Devices
Copyright Page
Contents
List of contributors
About the editors
Preface
1 Introduction to biomedical robotics and wearable devices in healthcare
Introduction
Literature survey
Wearable devices in healthcare
Medical robotics
Flexible and wearable sensors
Technology milestones of wearable triboelectric nanogenerators
Implantable medical devices
Reinforced life quality with flexible sensors and robotic exoskeletons
Wearable devices for health monitoring
Smartphone solutions for health monitoring
Novel coronavirus (COVID-19)
Heart disease
Diabetes
Smart homes
Biomedical robotics
Artificial intelligence for the Cyber-Physical Systems based Homecare Robotic System
Flexible sensing for the Cyber-Physical Systems based Homecare Robotic System
Artificial intelligence and Homecare Robotic Systems
Limb robotic assistance: an example perspective
Wearable robots for upper-limb assistance
Wearable personal health monitoring
Wearable personal health monitoring systems
Computing architecture for Internet of Medical Things
Cloud-based computing
The rise of edge computing
Cloud-edge artificial intelligence architecture for Internet of Medical Things
Combining wearable Internet of Medical Things devices with 6G networks
Optimizations of artificial intelligence techniques
Summary
References
2 Mathematical modeling in healthcare engineering
Overview of mathematical models in medicine
Introduction to mathematical modeling techniques
Methodology
Search strategy and criteria for selection
Analysis and results of mathematical modeling research
Quantitative data analysis
Guidelines and recommendations summary
Utilization of modeling.
Fundamental principles and techniques of mathematical modeling
Mathematical modeling: definition and classification
Typical mathematical models and methods of mathematical modeling
Utilization of mathematical models in medical sciences
Computational models based on differential equations in biomedicine
Models of growth and development
Gompertz model
The Bertalanffy model
Models of tumor growth
Models of the cardiovascular system
Statistical frameworks for medical research
Parametric survival analysis model
Model for assessing risk
Machine learning-based models for healthcare
Analytical model for medical images
Pathology analytical model
Data collection and processing
Extracting and selecting features
Model training and evaluation
Medical models based on network science
Conclusion and summary
Issues and challenges
Future applications
3 Mathematical foundations and computational techniques for robotic motion: a unified approach
Linear algebra and calculus for robotic motion
The mathematics of robotics
Integration with computational tools
MATLAB and linear algebra
Python and calculus
Probability theory and statistics
Linear algebra in robotics
Calculus in robotics
Linear algebra and optimization in robotics
Optimization utilizing MATLAB and Python
Linear algebra
Optimization
Mathematical modeling of robotic locomotion systems
Challenges in the modeling of symmetric locomotion systems
The function of symmetry and geometric mechanics
Progress in geometric mechanics for locomotion
Applications and prospective trajectories
Configuration space and the notion of manifolds
Definition of a manifold
Illustration of manifolds
Essential configuration blocks and operations in configuration pace.
Lie groups and their significance in configuration space
Utilization of Lie groups in configuration space
Special Euclidean group [SE(2)]
Definition and characteristics of SE(2)
Utilization of SE(2) in robotics
Motion planning
Regulatory algorithms
Robot localization
Mathematical representation of SE(2)
Local group velocities in SE(2)
Function, curves, and trajectories on the manifold
Functions on manifolds
Curves on manifolds
Utilizations of curves
Vectors on manifolds
Utilizations of vectors
Velocity of mechanical equipment and curved spaces
Characterization of velocities in mechanical machines
Tangential spaces
Visualizing tangential spaces
Utilization of tangential spaces in robotics
Regulatory approaches
Analysis of stability
Local group velocities and tangential spaces
Elevated actions with vectors in the tangential manifold
Definition of elevated actions
Mathematical formulation of elevated actions
Utilization of lifted events in robotics
Motion regulation
Kinematic modeling
Velocities of a rigid body
Definition of rigid body velocities
Kinematics of rigid parts
Dynamics of rigid objects
Left and right elevated actions
Characterization of left and right elevated actions
Mathematical depiction of elevated actions
Utilization of left- and right-lifted actions
Spatial velocity and its calculation utilizing adjoint operators
Formulation of spatial velocity
Computation of spatial velocity
Adjoint functions and spatial velocity
Adjoint representation
Utilization of spatial velocity in robotics
Regulatory systems
Case studies.
Motion planning for serpentine robots
Mathematical concepts
Generalized Voronoi Graph (Henning et al., 1998)
Follow-the-leader approach
Optimization techniques
Computational efficiency
Collision detection and avoidance
Two-wheeled robots
Inverted pendulum hypothesis (Gadekar et al., 2024)
System dynamics and control
State-space representation
Proportional-integral-derivative control
Sensor fusion
Torque generation
Linear and angular velocity control
Legged robots
Importance of legged robots
Sensor fusion and estimation
Dynamic balancing
Future directions
Conclusion
4 Advanced biosignal processing and emotion recognition through artificial intelligence
Related works
Electroencephalography
Electrocardiography
Signal acquisition and preprocessing
Extraction of features
Detection of arrhythmia
Detection of ischemia and infarction
Risk stratification and prognosis
Telemonitoring and remote healthcare
Electromyography
Analysis of muscle activity
Evaluation of muscle fatigue
Analysis of movement
Prosthetic regulation and human-computer interaction
Rehabilitation and assessment of motor function
Positron emission tomography
Pulse oximetry
Monitoring of blood pressure
Glucose surveillance
Magnetic resonance imaging
Ultrasonography
Infrared thermography
Autonomous emotional computation (Soares et al., 2013) utilizing biosignal analysis and deep learning techniques
Techniques for emotion recognition
Multisignal emotion recognition systems
Utilization of machine learning in emotion recognition.
Execution of the automated emotion recognition model
Individuals involved
Data set of emotional stimuli
Protocol
Acquisition and processing of physiological signals
Cardiac characteristics: heart rate variability and blood volume pulse
Measurement of blood volume pulse via photoplethysmography
Characteristics of respiration
Characteristics of thermal infrared imaging
Classification algorithms
Machine learning-Random ForestAalgorithm
Deep learning-convolutional neural network and long- and short-term memory
Results and discussion
Analysis of the confusion matrix of Random Forest utilising heart rate variability and blood volume pulse
Random Forest confusion matrix utilizing heart rate variability, blood volume pulse, and respiration
Random Forest confusion matrix utilizing heart rate variability, blood volume pulse, respiration, and infrared
Statistical significance
Evaluation of the convolutional neural network-long- and short-term memorylstm model's performance
5 Optimization algorithms for design and control
Utilization of advanced technologies for optimal design and control in wearable robots
Integration of many sensory modalities to improve motor function
Enhancing fusion techniques for wearable robotics
Human-in-the-loop control: optimization algorithms for efficient design and control of wearable robots
Control mechanisms and challenges of human-in-the-loop
Optimization algorithms used in human-in-the-loop control
Sensory reconstruction and flexible electronics in wearable robots: optimizing neuromuscular interfaces
Flexible electronics for enhanced neuromuscular interfaces
Biomechatronic chips: enabling efficient signal processing
Soft robot design and control optimization algorithms
Architectural design.
Design objective (robotic behavior).
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
0-443-33515-X
0-443-33514-1
OCLC:
1534820981

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