Systems Biology

Genomics, Proteomics, Transcriptomics & Metabolomics · Part 5

248 KB10 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.17.1 Foundations of Systems Biology
  2. 2.17.2 Biological Networks
  3. 3.17.3 Multi-Omics Data Integration Strategies
  4. 4.17.4 Network Inference from Omics Data
  5. 5.17.5 Dynamic Models of Biological Systems
  6. 6.17.6 Challenges in Multi-Omics Integration
  7. 7.Holistic vs. Reductionist Approaches
  8. 8.Key Properties of Biological Systems
  9. 9.Graph-Theoretic Foundations
  10. 10.Network Motifs

Key Equations

$$A_{ij} = \begin{cases} w_{ij} & \text{if edge exists between } i \text{ and } j \\ 0 & \text{otherwise} \end{cases}$$
$$\max_{a, b} \; a^\top X^\top Y b \quad \text{subject to} \quad \|a\| = 1, \; \|b\| = 1$$
$$= \sum_{x} \sum_{y} p(x, y) \log \frac{p(x, y)}{p(x) \, p(y)}$$
$$a_{ij} = |r_{ij}|^\beta, \quad \beta \geq 1$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Genomics, Proteomics, Transcriptomics & Metabolomics course on CoursesHub.World. Study genomics, proteomics, transcriptomics and metabolomics with 20 free chapters covering DNA sequencing, RNA-Seq, mass spectrometry, metabolic profiling, multi-omics integration, and precision medi...

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