- Study guides, Revision notes & Summaries

Learn about the various strategies employed by bacteria, including adherence, invasion, and colonization. Each mechanism is clearly explained with examples from clinically significant pathogens. Explore the specific traits that enhance a bacterium's ability to cause disease, such as toxins, enzymes, and surface proteins. Understand how these factors contribute to pathogenicity and the clinical implications of bacterial infections. Gain insights into the dynamic relationship between bac...

Explore the intricate relationship between age, sex, and microbiota rhythmicity in individuals suffering from obesity and type 2 diabetes with this comprehensive research document. This in-depth analysis presents vital findings on how demographic factors influence gut microbiome patterns, shedding light on their implications for metabolic health. This document provides a thorough examination of the existing literature, methodologies, and results from studies that investigate the interplay bet...

Lecture notes for the module 'MAT2048 Groups and Rings' in the Mathematics course. Topics covered in the notes include: - Binary Operations, Magmas, Semi Group, Monoid - Finite Groups and Cayley Tables - Permutations and Symmetries - Subgroups - Cosets and Lagrange Theorem - Group Homomorphisms - Normal Subgroups and Quotient Group - Rings and Fields - Homomorphisms, Ideals and Quotient Rings Definitions in pink, formulae and equations in green, examples in blue.

Lecture notes for the module ''MAT2009 Operations Research and Optimization' in the Mathematics course. Topics covered in the notes include: - Linear Programming - The Simplex Method - Sensitivity Analysis - Dual Simplex Method - Complementary Slackness - Asymmetric Duality - Transportation Problem - Assignment Problem Definitions in pink, formulae and equations in green, examples in blue.

Lecture Notes for the module 'MAT1031 Algebra'. Topics covered in the notes include: - Basics such as proofs, sets, polynomials, divisibility and more - Vectors - Permutations and Cross Product - Groups and Fields Definitions in pink, formulae and equations in green, examples in blue.

Lecture notes for the module 'MAT 3043 Graphs and Networks' in the Mathematics course. Topics covered in the notes include: - Graphs - Connectedness - Eulerian and Hamiltonian Graphs - Trees - Planar Graphs and Geometric Dual - Graph Colourings - Matchings and Networks Definitions in pink, formulae and equations in green, examples in blue.

Lecture notes for the module 'MAT3040 Mathematical Ecology and Epidemiology' in the Mathematics course. Topics covered in the notes include: - Single Species Ecology - Harvesting and Fishing - Interacting Species Populations - Predator-Prey Models - Competition and Mutualism Modelling - SIR and SEI Models - Quarantining - Spatial Ecology Definitions in pink, formulae and equations in green, examples in blue.

Some lecture notes for the module 'MAT1034 Linear Algebra' in the Mathematics course. Topics covered in the notes include: - Systems of Linear Equations - Gaussian Elimination - Vector Spaces - Linear Operators - Inner Product Space Definitions in pink, formulae and equations in green, examples in blue.

Lecture notes for the module 'MAT1032 Real Analysis I' in the Mathematics course. Topics covered in the notes include: - Bounds, Supremum, Infimum - Axiom of Completeness - Cauchy Sequences and Series - Inequalities - Limits and Covergence - Logic and Quantifiers - Sets and Notations - Types of Functions - Types of Numbers Definitions in pink, formulae and equations in green, examples in blue.

Lecture notes for the module 'Advanced Algebra'. Topics covered in the notes include: - Groups - Generators and presentations - Cosets, Products and Quotient Groups - Abelian Groups, Automorphisms and Semi-Direct Products - Groups Actions - Conjugacy in Groups Definitions in pink, formulae and equations in green, examples in blue.