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Computational Molecular Magnetic Resonance Imaging for Neuro-oncology
Based on the analytical methods and the computer programs presented in this book, all that may be needed to perform MRI tissue diagnosis is the...
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Radio-Frequency Identification System for Computational Magnetic Resonance Imaging of Blood Flow at Suction Points
In this chapter, the solutions of the Bloch NMR flow equations based on the perturbation theory have been used to analyze the asymptotic suction...
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Analysis of the Hydrogen-Like Atom for Neuro-Oncology Based on Bloch’s NMR Flow Equation
Analytical solutions of Bloch’s nuclear magnetic resonance (NMR) flow equations for the hydrogen atom constitute a formidable mathematical problem....
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Computational Analysis of Magnetic Resonance Imaging Contrast Agents and Their Physico-Chemical Variables
This chapter shows how time-independent NMR Bloch flow equation can be used for comparative studies of contrast agent’s NMR response via the...
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Application of “R” Machine Learning for Magnetic Resonance Relaxometry Data Representation and Classification of Human Brain Tumours
Experimental methods alone are no longer enough for efficient diagnosis. The development of appropriate mathematical models and sophisticated...
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Quantum Mechanical Model of the Bloch NMR Flow Equations for Transport Analysis of Quantum-Drugs in Microscopic Blood Vessels Applicable in Nanomedicine
In the human cardiovascular system, there are more than 1010 capillary blood vessels the diameter of which is about the same size as that of blood...
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General Introduction
This Chapter establishes the biological bases of disease and the need for early diagnosis for prompt intervention. It highlights the drawbacks of...
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Advanced Magnetic Resonance Image Processing and Quantitative Analysis in Avizo for Demonstrating Radiomic Contrast Between Radiation Necrosis and Tumor Progression
Radiation necrosis is the most common side effect of stereotactic radiosurgery after tumor treatment. The features of necrosis are similar to those...
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Radiofrequency Identification System for Computational Diffusion Magnetic Resonance Imaging Based on Bloch’s NMR Flow Equation and Hermite Functions
In this Chapter, a mathematical analysis for Radiofrequency Identification System (RFID) systems for computational diffusion MRI based on Bloch’s NMR...
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Fundamental Physics of Nuclear Magnetic Resonance
This Chapter presents fundamental physics of nuclear magnetic resonance imaging (NMR), how it works and how knowledge of the expected behaviour of...
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General Conclusion
In this book, we have discussed practical ways that computational MRI can provide innovative data-driven solutions for the prediction, simplification...
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A Computational MRI Based on Bloch’s NMR Flow Equation, MRI Fingerprinting and Python Deep Learning for Classifying Adult Brain Tumors
No single neuroimaging technique currently lends itself to easy, reliable and consistent use in day-to-day settings to differentiate intra-axial...
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Dynamics in Two-Dimensional Systems
In this chapter we discuss two dimensional systems of differential equations. We treat fixed points and set rules to define the stability for linear...
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Dynamics in One-Dimension
In this chapter we discuss differential equations of one dependent variable. We treat fixed points and define rules to define the stability of these...
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Synapses
We discuss how neurons transmit signals between neurons, focusing on the chemical synapse. After a more phenomenological treatise, we derive...
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Dynamics of Neural Networks A Mathematical and Clinical Approach
This book treats essentials from neurophysiology (Hodgkin–Huxley equations, synaptic transmission, prototype networks of neurons) and related...
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Elementary Neural Networks and Synchrony
All models discussed thus far were single cell models, but the brain has many cells that are coupled and exchange information. Connections of a few...
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Seizures and Epilepsy
In this chapter, we present clinical aspects of seizures and epilepsy. We discuss how dynamical models can advance our understanding of epilepsy and...
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Hypoxia and Neuronal Function
The brain is obligatory dependent on sufficient oxygen and glucose. Deprivation of either glucose or oxygenOxygen (oxygen-glucose deprivation, OGD)...