(Ebook PDF) Computational and Analytic Methods in Biological Sciences Bioinformatics with Machine Learning and Mathematical Modelling 1st edition by River Publishers 1000879933 9781000879933 full chapters

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ISBN-10 :  1000879933 

ISBN-13 :  9781000879933

Author :  River Publishers 

Despite major advances in healthcare over the past century, the successful treatment of cancer has remained a significant challenge, and cancers are the second leading cause of death worldwide behind cardiovascular disease. Early detection and survival are important issues to control cancer. The development of quantitative methods and computer technology has facilitated the formation of new models in medical and biological sciences. The application of mathematical modelling in solving many real-world problems in medicine and biology has yielded fruitful results. In spite of advancements in instrumentations technology and biomedical equipment, it is not always possible to perform experiments in medicine and biology for various reasons. Thus, mathematical modelling and simulation are viewed as viable alternatives in such situations, and are discussed in this book.

Computational and Analytic Methods in Biological Sciences Bioinformatics with Machine Learning and Mathematical Modelling 1st Table of contents:

1 Modeling of Smoking Transmission Dynamics using Caputo–Fabrizio Type Fractional Derivative
1.1 Introduction
1.2 Basic Concept of Fractional Operators
1.3 Model Formulation
1.4 Caputo–Fabrizio Fractional Order Derivative
1.4.1 Stability Analysis of Model by Using Fixed-Point Theory
1.5 Numerical Results and Discussion
1.6 Conclusion
References
2 Hybrid Feature Selection Techniques Utilizing Soft Computing Methods for Cancer Data
2.1 Introduction
2.2 Proposed Framework
2.2.1 Genes Extraction by ICA
2.2.2 Genetic Bee Colony (GBC) Algorithm
2.3 Used Classifier
2.3.1 Naïve Bayes Classifier (NBC)
2.3.2 Support Vector Machine (SVM) Classifier
2.4 Experimental Setups
2.6 Conclusion
References
3 Finite Element Technique to Explicate Calcium Diffusion in Alzheimer’s Disease
3.1 Introduction
3.2 Literature Survey
3.3 Mathematical Formulations
3.3.1 Calcium Buffering
3.3.2 Voltage Gated Calcium Channel (VGCC)
3.3.3 Endoplasmic Reticulum (ER)
3.4 The Finite Element Technique
3.4.1 Approximated Geometry of the Cell
3.4.2 Physiological Boundary Conditions
3.4.3 Meshing of the domain
3.5 Results and Discussion
3.5.1 For Hippocampal Neuron
3.5.2 For Basal Forebrain Neuron
3.6 Conclusion
References
4 Comparative Analysis of Computational Methods used in Protein-Protein Interaction (PPI) Studies
4.1 Introduction
4.1.1 Protein
4.1.2 Protein-Protein Interaction
4.2 In Silico Methods
4.2.1 Sequence Based Approaches
4.2.2 Structure Based Approaches
4.2.3 Gene Neighbourhood
4.2.4 Gene Fusion
4.2.5 In Silico Two-hybrid (I2h)
4.2.6 Phylogenetic Tree
4.2.7 Phylogenetic Profile
4.2.8 Gene Expression
4.3 PPI Networks and Databases
4.3.1 Creation of the PPI Networks
4.3.2 Different Databases
4.4 Softwares Available for PPI
4.5 Conclusion
References
5 Optimization of COVID-19 Risk Factors Using Fuzzy Logic Inference System
5.1 Introduction
5.2 Methodology
5.2.1 Proposed Mamdani Fuzzy Control System
5.2.2 Fuzzy Controller Design
5.2.3 Parameters Identification
5.2.4 Fuzzification
5.2.5 Fuzzy Inference Rule Base
5.2.6 Rule Evaluation By Fuzzy Inference Engine
5.2.7 Defuzzification
5.3 Results
5.4 Discussion
5.5 Conclusion and Future Work
References
6 Dynamical Analysis of the Fractional-Order Mathematical Model of Hashimoto’s Thyroiditis
6.1 Introduction
6.2 Preliminaries
6.3 Formulation of Fractional-Order Model of Hashimoto’s Thyroiditis
6.4 Stability Analysis
6.5 Construction of a Numerical Solution Scheme
6.6 Numerical Segment
6.7 Conclusions
References
7 Heated Laminar Vertical Jet of Pseudoplastic Fluids-Against Gravity
7.1 Introduction
7.2 Basic Equations
7.3 Results and Discussions
7.4 Graphical Presentation
7.5 Conclusion
References
8 Analytical Solutions For Hydromagnetic Flow of Chemically Reacting Williamson Fluid Over a Vertical Cone and Wedge with Heat Source/Sink
8.1 Introduction
8.2 Formulation of the Problem
8.3 Solution of the Problem
8.4
8.5 Conclusion
References
9 Aboodh Transform Homotopy Perturbation Method for Solving Newell–Whitehead–Segel Equation
9.1 Introduction
9.2 Basic Definition of Aboodh Transform
9.2.1 Some Properies of Aboodh Transform
9.3 Idea of Aboodh Transform Homotopy Perturbation Method
9.4 Some Illustrations
9.5 Conclusion
References
10 Transmission and Control of Droplet Infection from Exotic to Native Population: A Mathematical Model
10.1 Introduction
10.2 Basic Assumptions and Formulation of the Model
10.3 Disease Free Equilibrium Point and Basic Reproduction Number
10.4 Stability Around the Disease Free Equilibrium Point
10.4.1 Linear Stability Around the Disease Free Equilibrium Point E0
10.4.2 Non Linear Stability Around the Disease Free Equilibrium Point E0
10.5 Existence of Endemic Equilibrium Point
10.6 Stability Around the Endemic Equilibrium Point
10.6.1 Linear Stability Around the Endemic Equilibrium Point E1
10.6.2 Non Linear Stability Around the Endemic Equilibrium Point E1
10.7 Sensitivity Analysis of Basic Reproduction Number and State Variables
10.8 Optimal Control Problem
10.9 Numerical Simulation
10.10 Conclusions
References
11 A Fractional Calculus Model to Depict the Calcium Diffusion for Neurodegenerative Disease
11.1 Introduction
11.2 Mathematical Preliminaries
11.3 Mathematical Modelling of Advection Diffusion Equation
11.3.1
11.4 Results and Discussion
11.5 Conclusion
References
12 Approximate Analytic Solution for Tumour Growth and Human Head Heat Distribution Singular Boundary Value Model by High-Resolution Order-Preserving Fuzzy Transform
12.1 Introduction
12.2 Preliminaries of Fuzzy Transform
12.3 Exponential Basis Approximated Fuzzy Components
12.4 Order Preserving Fuzzy Component Scheme
12.5 Tumor Growth and Oxygen Diffusion in a Spherical Cell Model
12.6 Heat Distribution in the Human Head
12.7 Numerical Simulations and Performance Evaluation
12.8 Conclusion and Remarks
References
13 Analysis of One-Dimensional Groundwater Recharge by Spreading using Hybrid Differential Transform and Finite Difference Method
13.1 Introduction
13.2 Research Gap
13.3 Mathematical Formulation
13.4 Methodology
13.5 Hybrid Differential Transform and Finite Difference Method [18]13.6 Solution
13.7 Results and Discussion
13.8 Conclusions
13.9 Utilities of Research
Appendix 1
References
14 Numerical Solution of Physiological Thermoregulatory Disturbances in Cold Environment
14.1 Introduction
14.2 Material and Methods
14.3 Result
14.4 Discussion
References
15 Mathematical Modelling of Transient Heat Conduction in Biological System by Finite Element Method and Coding in MATLAB
15.1 Introduction
15.2 General Procedure of Finite Element Method
15.3 Process of Finite Element Method
15.3.1 Definition of the Problem and its Domain: One Dimensional Thermal Equation of Biological System
15.4 Steps Involved in Finite Element Process
Step-1: Discretization of the Domain: One Dimensional Simplex Element
15.5 Model-2: One Dimensional Quadratic Interpolation Model
15.5.1 Assumption of a Suitable form of Variation in T for Quadratic Element
15.6 Assembly of Elements
15.7 Matrix Form of Element Equation
15.8 Algorithm and Computer Program to Solve Heat Equation using FEM in Matlab:
15.9 Result and Discussion

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