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Category: Imaging

  • Resonance: A Mathematical Foundation of NMR Spectroscopy and Chemical Structure

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    Josh
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    Chapter 1: Introduction to Nuclear Magnetic Resonance: A Chemical Perspective 1.1 The Chemical Origins of NMR: Connecting Molecular Structure to Spectroscopic Parameters Nuclear Magnetic Resonance (NMR) spectroscopy has become an indispensable tool for chemists across diverse fields, from elucidating the structure of complex natural products to probing the dynamics of biological macromolecules. Its power lies…

  • MRI Pulse Sequences and Mathematics

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    Josh
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    Chapter 1: Laying the Foundation: A Review of Linear Algebra and Signal Processing for MRI 1.1 Vector Spaces, Linear Transformations, and Basis Functions in MRI: Exploring k-space as a Vector Space and the Fourier Transform as a Linear Transformation In the realm of Magnetic Resonance Imaging (MRI), a profound understanding of linear algebra is not…

  • Magnetic Resonance Imaging: A Dive into its Physics

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    Josh
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    Chapter 1: The Quantum Underpinnings: A Journey into Nuclear Spin and Magnetic Moments 1. The Intrinsic Angular Momentum: Demystifying Nuclear Spin and its Quantization At the heart of nuclear magnetic resonance (NMR) lies a fundamental property of atomic nuclei known as nuclear spin. Unlike the classical notion of a spinning top, nuclear spin is an…

  • Multi-modal Data for Medical Imaging

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    Josh
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    Section 1.1: Introduction to the Multi-modal Paradigm Subsection 1.1.1: Defining Multi-modal Imaging Data in a Clinical Context In the rapidly evolving landscape of healthcare, the concept of multi-modal imaging data has emerged as a cornerstone for advanced diagnostics and personalized medicine. At its core, “multi-modal” refers to the integration of information from several distinct sources…

  • Machine Learning in Medical Imaging – A Review

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    Josh
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    Section 1.1: The Evolution of Medical Imaging and Diagnosis Subsection 1.1.1: Historical Context of Medical Imaging Technologies Subsection 1.1.1: Historical Context of Medical Imaging Technologies The story of medical imaging is a fascinating journey of scientific discovery and technological innovation, fundamentally transforming our ability to peer inside the human body without invasive procedures. For centuries,…

  • Machine Learning Networks For Medical Imaging – A Review

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    Josh
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    Table of Contents Introduction: The Dawn of AI in Medical Diagnostics The relentless pursuit of enhanced diagnostic accuracy and efficiency has long been a cornerstone of medical advancement. In recent decades, medical imaging has emerged as an indispensable pillar of modern healthcare, providing unparalleled insights into the human body’s intricate internal structures. However, the exponential…

  • Medicine: Deep Learning

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    Josh
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    Table of Contents 1. Introduction: The Dawn of a New Diagnostic Era 1. Introduction: The Dawn of a New Diagnostic Era Medical imaging stands as a cornerstone of modern clinical practice, providing non-invasive windows into human anatomy and physiology that are indispensable for diagnosis, treatment planning, and disease monitoring. Modalities such as Computed Tomography (CT),…

  • MRI: Cryogen free tech

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    Josh
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    New Cryogen-Free Technology for Achieving Superconductivity Cryogen-free technology for superconductivity refers to systems that achieve and maintain the low temperatures required for superconducting states without relying on traditional cryogenic liquids like liquid helium (boiling point ~4.2 K) or liquid nitrogen (boiling point ~77 K). Instead, these systems use closed-cycle cryocoolers, such as pulse tube cryocoolers…

  • MRI: Quantum coherence

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    Josh
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    Multiple quantum coherence (MQC) is a central concept in nuclear magnetic resonance (NMR) spectroscopy, describing the correlated evolution of multiple nuclear spins in a quantum mechanical system. It plays a critical role in advanced NMR experiments, enabling the study of molecular structure, dynamics, and interactions with high resolution and sensitivity. Below, I provide a comprehensive…

  • MRI: Nuclear Overhauser Effect

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    Josh
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    The Nuclear Overhauser Effect (NOE) is a fundamental phenomenon in nuclear magnetic resonance (NMR) spectroscopy, widely used to probe the spatial proximity and dynamics of nuclear spins in molecules, particularly in structural biology and organic chemistry. Below, I provide a comprehensive description of the NOE, including its physics, chemistry, pulse sequences, and applications, as requested.…