Fundamentals of Ionizing Radiation in Medicine

3 décembre 2025

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1. Overview

This lesson covers the fundamentals of ionizing radiation with a focus on its physical principles, classification, interactions with matter, and biological effects. It introduces the discovery of X-rays, types of ionizing radiation, physical and dosimetric quantities, primary photon and particle interaction mechanisms, cellular and tissue-level impacts, and radiobiological concepts such as LET and RBE. The content is geared toward engineers in medical radiation fields, emphasizing physics and engineering principles relevant to diagnostics, therapy, and radiation protection.

2. Core Concepts & Key Elements

  • Introduction:

    • Discovery of X-rays by Wilhelm Konrad Röntgen (1895)
    • X-ray characteristics: particle-wave nature, fluorescence, penetrative ability
    • Historical milestones: burns, radiotherapy beginnings, radium use, Roentgen unit, LINACs, modern advances
  • What is Ionizing Radiation?

    • Radiation with enough energy to create ion pairs (ion + free electron)
    • Types: Electromagnetic (X-rays, gamma rays), Particles (electrons, protons, alphas, neutrons)
  • Classification:

    • Directly Ionizing: charged particles (electrons, protons, alphas) - ionization via Coulomb interactions
    • Indirectly Ionizing: photons & neutrons - produce secondary charged particles
  • Physical Quantities:

    • Source: Activity $A = \lambda N$, Half-life $T_{1/2} = \frac{\ln(2)}{\lambda}$
    • Exposure $X$ (Roentgen): ionization in air per mass, $X = \frac{dQ}{dm}$
    • Dosimetric: Absorbed Dose $D$ in Gray (J/kg), Equivalent Dose $H = D \times Q$ (quality factor) reflecting RBE
  • Photon Interaction Mechanisms:

    • Photoelectric Effect: photon fully absorbed, ejects inner-shell electron, dependent on atomic number (high contrast imaging)
    • Compton Scattering: photon scatters off electron, both retain energy, important in radiotherapy (4-25 MeV)
    • Pair Production: high-energy photon (>1.022 MeV) converts to electron-positron pair near nucleus, relevant in >10 MeV radiotherapy, increased bone dose
  • Particle Interactions:

    • Electrons: slow and scatter via Coulomb interactions causing excitation and ionization
    • Heavy charged particles: less scatter, straight paths, ionize via Coulomb forces
    • Neutrons: neutral, cause nuclear reactions creating charged particles, deposit energy indirectly
  • Biological Effects of Radiation:

    • Cellular damage via direct ionization (DNA) and indirect via free radicals from water
    • Cellular damage timeline and cascade
    • Tumor cells are more radiosensitive due to higher proliferation, defective DNA repair, and more exposed/disorganized DNA
  • Cellular Effects by Dose:

    Dose Range (Gy)EffectMechanism
    < 0.1Survival with damageCell repair
    0.1–1Malignant transformationMutation risk
    0.5–2Senescence, ApoptosisCell cycle stop, self-destruction
    2–8Reproductive cell deathDivision prevention
    >10Immediate cell deathIrreparable DNA damage
  • Stochastic vs Non-Stochastic Effects:

    • Stochastic: no threshold, probability increases with dose, severity independent (e.g., cancer risk)
    • Non-Stochastic (Deterministic): threshold exists, severity increases with dose (e.g., cataracts, sterility)
  • Tissue Effects:

    • Radiosensitive: bone marrow, intestines, eye lens, gonads (acute effects at 0.5-2 Gy)
    • Radioresistant: bone fibrosis, muscle atrophy, nerve death, cartilage cancer (acute effects >5 Gy)
  • Oxygen Effect:

    • Oxygen enhances radiosensitivity, measured by Oxygen Enhancement Ratio (OER)
    • Normoxic cells more radiosensitive than hypoxic cells
    • Most radiosensitivity changes occur below 20 mmHg oxygen tension
  • Dose-Response & Cell Survival:

    • Survival fraction modeled by linear quadratic equation:
      $$ S = e^{-(\alpha D + \beta D^2)} $$
    • $\alpha$: single-event killing; $\beta$: two-event killing; $\alpha/\beta$: tissue radiosensitivity and repair
  • Fractionated Doses:

    • Radiotherapy dose divided into daily fractions (~1.8–2 Gy) to maximize tumor kill and allow normal tissue repair
  • Linear Energy Transfer (LET):

    • Energy deposited per unit length ($LET = \frac{dE}{dx}$) measured in keV/μm
    • High LET: dense, localized energy deposition → irreparable damage
    • Low LET: spread out, reparable damage
  • Relative Biological Effectiveness (RBE):

    • Ratio comparing biological effect of test radiation to reference radiation
      $$ RBE = \frac{\text{Dose}{ref}}{\text{Dose}{test}} $$
  • Radiation Protection:

    • Equivalent dose $H = D \times W(r)$ organ and radiation-type specific
    • Effective dose sums weighted equivalent doses by tissue weighting factors (stochastic risk to whole body)
  • Clinical Dose Examples (Quantec 2010):

    • Spinal cord max dose: 50 Gy (0.2% Myelitis) to 69 Gy (50% Myelitis)
    • Penile bulb mean dose < 50 Gy → < 20% severe erectile dysfunction
    • Bladder V65 < 50% → level 3 toxicity (bleeding, pain)

3. High-Yield Facts

  • Ionizing Radiation: energy sufficient to ionize atoms/molecules
  • Activity: $A = \lambda N$, half-life $T_{1/2} = \frac{\ln 2}{\lambda}$
  • Exposure $X$ = ionization per air mass (Roentgen, R)
  • Absorbed Dose $D$ (Gy) = J/kg, Equivalent Dose $H$ (Sv) = $D \times Q$
  • Photoelectric effect dominates at low photon energy, strong Z dependence
  • Compton scattering important at intermediate energies (4–25 MeV)
  • Pair production threshold = 1.022 MeV, relevant >10 MeV
  • LET: high ($\sim$100–200 keV/μm) for alpha particles, low (0.2–3 keV/μm) for X-rays/gamma rays
  • RBE increases with LET up to ~100 keV/μm
  • Oxygen Enhancement Ratio (OER) decreases below 20 mmHg oxygen tension
  • Cell survival curve modeled as $S = e^{-(\alpha D + \beta D^2)}$
  • Fractionated radiotherapy: 1.8–2 Gy fractions, 5 days/week
  • Stochastic effects: no threshold (cancer risk); deterministic effects: threshold dose exists (cataract, sterility)

4. Summary Table

ConceptKey PointsNotes
X-ray Discovery1895, Wilhelm Röntgen, particle-wave natureFirst medical use, penetrative radiation
Ionizing Radiation TypesPhotons (X-rays/gamma), Particles (e-, p+, α, n)Directly or indirectly ionizing
Physical QuantitiesActivity (Bq), Exposure (R), Absorbed Dose (Gy), Equivalent Dose (Sv)Dose conversions using quality factors
Photon InteractionPhotoelectric, Compton, Pair productionDiagnostic imaging, radiotherapy relevance
Particle InteractionCoulomb for charged, nuclear for neutronsDifferent ionization patterns
Cellular Damage MechanismsDirect (DNA ionization), Indirect (free radicals)Tumor radiosensitivity factors
Dose-Response Cellular Effects<0.1 Gy damage repair, >10 Gy immediate deathCell division stop, apoptosis, malignant transformation
Stochastic vs DeterministicNo threshold vs threshold & dose severityCancer risk and tissue-specific effects
Tissue EffectsRadiosensitive and radioresistant tissuesCritical doses for acute effects
Oxygen EffectRadiosensitivity enhanced by oxygenOER falls markedly below 20 mmHg
LETEnergy deposit per unit lengthHigh LET = more lethal
RBERatio of biological effect dosesDependent on radiation type & LET
Radiation ProtectionEquivalent and effective doses calculatedOrgan and whole-body stochastic risk
Clinical Doses (Quantec)Dose limits for spinal cord, penile bulb, bladderThresholds related to toxicity levels

5. Mini-Schema (ASCII)

Ionizing Radiation Fundamentals
 ├─ Discovery & History
 ├─ Radiation Types
 │    ├─ Electromagnetic (X/gamma)
 │    └─ Particles (e, p, α, n)
 ├─ Physical Quantities
 │    ├─ Activity, Half-life
 │    ├─ Exposure (R)
 │    └─ Dose (Gy, Sv)
 ├─ Radiation Interactions
 │    ├─ Photons: Photoelectric, Compton, Pair production
 │    └─ Particles: Coulomb (charged), nuclear (neutrons)
 ├─ Biological Effects
 │    ├─ Cellular: Direct & indirect ionization
 │    ├─ Dose effects: survival, apoptosis, death
 │    ├─ Tissue effects: radiosensitive/resistant
 │    └─ Oxygen effect & radiosensitivity
 ├─ Radiobiology Concepts
 │    ├─ Dose-response & cell survival (LQ model)
 │    ├─ LET: energy deposit rate
 │    └─ RBE: relative biological damage
 └─ Radiation Protection & Clinical Doses
      ├─ Equivalent & effective dose
      └─ Organ-specific clinical thresholds

6. Rapid-Review Bullets

  • Ionizing radiation ionizes atoms by ejecting electrons.
  • X-rays discovered in 1895, leading to radiotherapy.
  • Charged particles directly ionize; photons/neutrons indirectly ionize.
  • Activity $A = \lambda N$, half-life $T_{1/2} = \frac{\ln 2}{\lambda}$.
  • Exposure measured via Roentgen (R), dose via Gray (Gy).
  • Photoelectric effect dominates low energy, Compton intermediate, pair production high energy photons.
  • Electrons scatter significantly, heavy particles travel straighter in tissue.
  • Neutrons cause nuclear reactions producing ionizing particles.
  • Radiation damages cells directly or via free radicals from water.
  • Tumor cells more radiosensitive due to proliferation and DNA repair defects.
  • Cell death increases with dose; >10 Gy causes immediate death.
  • Stochastic effects have no threshold; deterministic effects have thresholds.
  • Radiosensitive tissues affected at doses 0.5–2 Gy; radioresistant >5 Gy.
  • Oxygen enhances radiation damage; OER drops below 20 mmHg.
  • Cell survival follows linear-quadratic model: $S = e^{-(\alpha D + \beta D^2)}$.
  • Radiotherapy uses fractionation to spare normal tissues.
  • LET high → localized energy → irreparable damage; low LET → spread damage.
  • RBE compares effectiveness of radiation types; depends on LET.
  • Equivalent dose accounts for radiation type and tissue sensitivity.
  • Clinical dose limits critical for spinal cord, penile bulb, bladder toxicity.