Md. Asif Uddin

    Chapter 1 VII.1

    Biological Information

    Biological information is discrete, layered and measured indirectly, so every dataset here is a measurement rather than the thing itself.

    Discrete, layered, and measured indirectly.

    How this chapter is built

    M0Narrative

    No mathematical load. Notation may appear; nothing is derived.

    basics0/4what the words mean
    concept2/2what to picture
    theory—why it works, and when it does not
    mathematics—derive it, then compute it
    practice0/3build it, break it, read the papers

    Five strands, not one. Mathematics is the spine; the other four are the body. A chapter cannot pay its way out of teaching with problems, nor out of problems with teaching.

    The problem

    A reader arriving from Books I to VI knows how to model data but not what this data is. The vocabulary comes first, and with it the fact that every biological measurement is an inference from a proxy.

    The HierarchiRetina three-stage pipelineA fundus image enters Stage I screening for referable diabetic retinopathy at grade 2 or above. It then branches to five parallel lesion segmentation models — microaneurysms, haemorrhages, hard exudates, cotton wool spots and vessels — whose masks rejoin the raw image as eight channels into Stage III, the lesion-guided grader. Stage III emits either an ordinal severity grade from one to four, or an ungradable verdict routed to human review.Fundus imageStage I · screening(referable DR, grade ≥ 2)MAHSMoEHEMultiScaleEXBrightSpotCWSwarm-upVesselsFOV maskStage III · LG-DRG(8 channels: RGB + 5 masks)Severity grade(CORN ordinal, 1–4)Ungradable(routed to human review)
    Fig. 1 — The HierarchiRetina three-stage pipeline: screening, five parallel lesion segmenters, and lesion-guided grading over eight channels.

    What this chapter covers

    • DNA
    • RNA
    • Proteins
    • Genes
    • Genomes
    • Cells

    Propositions

    Not yet written. The topics above are the plan for this chapter; each will become a proposition with its own figure.