GAG · Graphs & Science

FRCA graphs, waveforms and equations

222 Graphs & Science items for anaesthesia physiology and pharmacology revision: each one built around a clear graph, waveform or schematic, with the explanation you need to describe it.

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Six small flow–volume loops comparing normal, obstructive, restrictive and three upper-airway obstruction patterns.
Flow–volume loops: normal, obstruction, restriction and upper-airway patterns. Flow–volume loops, each pattern drawn against the normal loop (dashed) so the difference is the point. Select the image to enlarge it.

Graphs you can explain, not just recognise

Much of Primary FRCA revision, and a good part of the Final, rests on graphs: dissociation curves, pressure–volume loops, capnograms, pharmacokinetic curves and the physics behind monitoring. Graphs & Science draws each one cleanly, with labelled axes and the key points marked, so you can learn the shape and the reason for it.

Each item gives you:

  • the graph, waveform or schematic, with a written Description of the visual;
  • Explain in 60 seconds, a short structured explanation to say aloud;
  • equations and worked examples where the topic has them;
  • Reveal labels on labelled diagrams, and self-test questions on many items;
  • exam-focus prompts for Primary Written, Primary Practical, Final Written and Final Practical.

Interactive anaesthesia graphs

26 items have an interactive version. Choose a pattern, move the sliders and read the values as the curve changes; then switch to Test yourself. They are teaching models with illustrative values. The interactive items are:

  • Abnormal capnograms: obstruction, rebreathing, disconnection, low output, oesophageal tube
  • Capnography: normal time and volumetric capnograms, dead space and EtCO2 versus PaCO2
  • Competitive and non-competitive antagonism and the Schild plot
  • Dose–response curves: linear and log axes, potency, efficacy and slope
  • Dynamic assessment of fluid responsiveness
  • Ejection fraction
  • Exponential function, time constant and logarithms
  • Flow–volume loops: normal, obstruction, restriction and upper-airway patterns
  • Frank–Starling relationship
  • Half-life, time constant, accumulation and washout
  • Left ventricular pressure–volume loop
  • Likelihood ratios, Bayes and the Fagan principle
  • LV pressure–volume loops in valve disease
  • Oxygen–haemoglobin dissociation curve and the Bohr effect
  • Patient–ventilator dyssynchrony on matched ventilator traces
  • Predictive values and prevalence
  • Preload, afterload and contractility
  • Pressure-controlled ventilation: traces and variable tidal volume
  • PV loops in systolic and diastolic heart failure
  • Receptor occupancy and response: spare receptors, partial and inverse agonists
  • Sensitivity, specificity and test thresholds
  • Venous return and cardiac function curves (Guyton)
  • Ventilator traces: peak, plateau, driving pressure, auto-PEEP and time constants
  • Ventilatory response to CO₂: threshold, slope and shifts
  • Ventilatory response to hypoxia and the peripheral chemoreceptors
  • Volume-controlled ventilation: flow delivery, pressure response and limits

For written preparation, pair graphs with the Primary Written textbook and question bank; for spoken practice, with Primary Practical.

Examples from the library

Topics you will find in Graphs & Science

A selection of 42 published titles. The topic directory lists all 222.

Capnography and pressure waveforms

  • Capnography: normal time and volumetric capnograms, dead space and EtCO2 versus PaCO2 Waveform · Primary and Final · interactive graph
  • Abnormal capnograms: obstruction, rebreathing, disconnection, low output, oesophageal tube Waveform · Primary and Final · interactive graph
  • Normal central venous pressure waveform Waveform · Primary and Final
  • Abnormal central venous pressure waveforms Waveform · Primary and Final
  • Arterial pressure waveform: amplification, dicrotic notch and artefacts Waveform · Primary and Final
  • Damping, natural frequency and the fast-flush test Graph · Primary and Final

ECG

  • The normal ECG: calibration, intervals and a systematic read Waveform · Primary and Final
  • Bradycardia, heart block and pacing: ECG recognition Waveform · Primary and Final
  • Tachyarrhythmias: ECG recognition Waveform · Primary and Final
  • Cardiac axis and corrected QT (QTc) Measurement · Primary and Final

Brain and neuromonitoring

  • Cerebral autoregulation: blood flow versus perfusion pressure Graph · Primary and Final
  • Cerebral blood flow: responses to PaCO2 and PaO2 Graph · Primary and Final
  • Intracranial pressure–volume relationship and compliance Graph · Primary and Final
  • EEG and processed EEG depth-of-anaesthesia monitoring Waveform · Primary and Final
  • Evoked potential monitoring: SSEP, MEP and anaesthetic effects Waveform · Final

Respiratory physiology and gas exchange

  • Flow–volume loops: normal, obstruction, restriction and upper-airway patterns Graph · Primary and Final · interactive graph
  • Forced expiration: volume–time curve, FEV1/FVC and reference limits Graph · Primary and Final
  • Oxygen–haemoglobin dissociation curve and the Bohr effect Graph · Primary and Final · interactive graph
  • Oxygen cascade Graph · Primary and Final
  • Shunt and the shunt equation Equation · Primary and Final
  • Alveolar gas equation and the A–a gradient Equation · Primary and Final

Cardiovascular mechanics and oxygen delivery

  • Left ventricular pressure–volume loop Graph · Primary and Final · interactive graph
  • Frank–Starling relationship Graph · Primary and Final · interactive graph
  • Law of Laplace: spheres, cylinders and wall stress Equation · Primary and Final
  • Oxygen flux: delivery, consumption and extraction Graph · Primary and Final
  • Dynamic assessment of fluid responsiveness Waveform · Primary and Final · interactive graph
  • Exercise physiology and cardiopulmonary exercise testing (CPET) Graph · Primary and Final

Pharmacokinetics and pharmacodynamics

  • Context-sensitive half-time and decrement times Graph · Primary and Final
  • One-, two- and three-compartment models Graph · Primary and Final
  • Effect site, ke0 and hysteresis Graph · Primary and Final
  • Dose–response curves: linear and log axes, potency, efficacy and slope Graph · Primary and Final · interactive graph
  • Competitive and non-competitive antagonism and the Schild plot Graph · Primary and Final · interactive graph

Renal clearance and CRRT

  • Renal clearance Equation · Primary and Final
  • CRRT dose, filtration fraction and solute kinetics Equation · Primary and Final
  • CRRT modes: convection, diffusion, dilution and anticoagulation Equipment schematic · Primary and Final

Physics, measurement and equipment

  • Ideal gas equation and Dalton's law of partial pressures Physics · Primary and Final
  • Laminar and turbulent flow and the Reynolds number Physics · Primary and Final
  • Electricity basics: current, voltage, resistance, impedance, AC and DC Physics · Primary and Final
  • Wheatstone bridge and strain-gauge pressure transducers Physics · Primary and Final
  • Pulse oximetry: principle, calibration and limitations Measurement · Primary and Final
  • Vaporisers: variable bypass, desflurane and electronic designs Equipment · Primary and Final
  • Mapleson breathing systems A–F Equipment · Primary and Final
Published visuals

What a GAG visual looks like

Six schematic time capnograms showing obstruction, rebreathing, disconnection, falling cardiac output, oesophageal intubation and CPR then ROSC.
Abnormal capnograms: obstruction, rebreathing, disconnection, low output, oesophageal tube. Six capnogram shapes side by side, each labelled with the feature that identifies it. Select the image to enlarge it.

Frequently asked questions

Which graphs should I be able to draw for the FRCA?

There is no official list, and not every exam format asks you to draw. GAG marks each item as high-yield, often examined or background for each exam, which helps you decide where to spend time. Practise the ones marked high-yield for your exam until you can sketch and explain them from memory.

Are the graphs interactive?

26 graph items have an interactive version as well as the drawing; the rest are static diagrams. Interactive versions are teaching models with illustrative values, not patient predictions.

Do the graphs use real patient data?

No. The graphs are schematics: shapes and values are chosen to show the relationship clearly, and each visual says so where it matters. They are for understanding and drawing practice.

Is this enough for Primary FRCA physics and clinical measurement?

GAG covers many of the graphs, equations and devices you need to explain, but it is not a complete course. In Primary Written, use it alongside the interactive textbook and SBA practice; in Primary Practical, alongside the learning hub and examiner practice.

Continue: Anatomy · Guidelines & Tables · GAG overview

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GAG is included in Primary Written, Primary Practical, Final Written and Final Practical, with exam-focus prompts for each.

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