What you should already have
Compartment models; The effect site and k(e0); Stereoselectivity.
About 70 minutes
Plus the time it takes to redraw this lesson’s figures from memory, which is the fastest way to find out what you have not understood.
Where this shows up
Every subsequent lesson in this module is an application of this one. The dose you choose for a shocked patient, the interval you wait before laryngoscopy, why a second bolus lasts longer than the first, and why one agent can be run for eight hours and another cannot — all four are answered by material in this lesson, and none of them is answered by knowing the drugs individually.
Learning outcomes
By the end of this lesson you should be able to:
- Define an intravenous induction agent by what it has to achieve, list the properties of the ideal agent, and name the property each agent in current use fails.
- Classify the intravenous anaesthetics twice over — by chemical class and by molecular target — and place methohexitone, remimazolam and alfaxalone in that classification.
- Describe the GABA-A receptor as a pentameric ligand-gated chloride channel, locate the GABA, benzodiazepine and general-anaesthetic sites on it, and distinguish positive allosteric modulation from direct gating at high concentration.
- Explain ketamine's action as a non-competitive open-channel blocker at the NMDA receptor, its use-dependence, and how that compares with the physiological magnesium block.
- Explain how an α2A agonist acting at the locus coeruleus produces sedation, and why that route spares respiratory drive where a GABA-A drug does not.
- Relate the phenol ring, the sulphur substitution at C2, the imidazole ring and the chiral centre to what each buys the molecule that carries it.
- Explain lipid emulsion, alkaline sodium-carbonate solution and propylene glycol as pharmacological choices with pharmacological costs, including which drugs must not share a line.
- Explain what decides the speed and depth of an induction: arm–brain circulation time, k(e0) and the plasma–effect-site lag, redistribution rather than metabolism, context-sensitive half-time, and the effect of age, cardiac output, protein binding, hypovolaemia and obesity on the dose.
Together these settle one syllabus objective: Intravenous induction agents: targets, structure and front-end kinetics. Tick it on the Pharmacology objective list once you can do all of the above without notes.
Orientation
Rapid review
- The definition is a performance specification. An intravenous anaesthetic induces loss of consciousness in one arm–brain circulation time. Ketamine does not, and that single failure explains most of what is unusual about it.
- Three molecular targets, not one. Four chemical classes converge on the GABA-A receptor; ketamine blocks the open NMDA channel; dexmedetomidine works through an α2 adrenoceptor and the brain’s own sleep switch.
- The bottle is pharmacology. An emulsion, an alkaline powder and a propylene-glycol solution each solve a solubility problem, and each charges for it in pain, in instability, or in what may share the cannula.
- A bolus wears off by redistribution. The patient wakes with almost the entire dose still in the body. Metabolism decides the hangover, not the emergence.
- Context-sensitive half-time is the infusion’s version of that story, and it is the reason propofol supports total intravenous anaesthesia and thiopentone does not.
The specification
What an intravenous induction agent has to do
Ketamine fails this definition, and it is worth saying so plainly at the outset rather than discovering it in lesson 4. Its central effects become evident at about 90 seconds, not at 15. That is not a defect of potency or of lipid solubility — ketamine is five to ten times as lipid soluble as thiopentone — but a consequence of where it acts and what it has to do there. Every other agent in this module meets the specification.
The history is short and it explains the shape of the current formulary. The barbiturates arrived in the 1930s, and thiopentone’s rapid onset and short duration made it different in kind from anything used before. Phencyclidine was withdrawn for psychotomimetic reactions but left behind the chemically related ketamine. The steroidal agents were abandoned: pregnanolone would not dissolve, and althesin’s solubilising agent, Cremophor EL, was associated with anaphylaxis. Etomidate survived on cardiovascular stability alone. Propofol displaced almost everything once a formulation existed that did not have to be reconstituted.
The ideal agent, and how each real one fails it
The list below is the standard one, and it is worth learning as a list because it is the spine the rest of this module hangs on: every agent is a different pattern of compliance and failure against the same sixteen properties. The right way to read the table is not “propofol is best” but “each of these drugs still exists because there is a patient for whom its particular failures do not matter”.
| Property of the ideal agent | Where a real agent falls short |
|---|---|
| Rapid onset — mainly unionised at physiological pH | Ketamine: central effects appear at about 90 seconds, not in one arm–brain circulation |
| High lipid solubility | Met by all four induction agents; it is what makes them work |
| Rapid recovery, no accumulation during prolonged infusion | Thiopentone: saturable metabolism and a context-sensitive half-time that climbs without limit |
| Analgesic at sub-anaesthetic concentrations | Propofol, thiopentone, etomidate and midazolam: none is analgesic. Only ketamine meets this |
| Minimal cardiovascular and respiratory depression | Propofol: the largest fall in blood pressure of the four, and apnoea in a quarter to a third of inductions |
| No emetic effects | Ketamine and etomidate: both increase nausea and vomiting. Propofol reduces it |
| No pain on injection | Propofol and etomidate |
| No excitation or emergence phenomena | Ketamine: vivid dreams, hallucinations and delirium. Etomidate: myoclonus. Propofol: excitatory movements in up to 10% |
| No interaction with other agents | Propofol and midazolam are mutually synergistic and each alters the other's kinetics |
| Safe after inadvertent intra-arterial injection | Thiopentone: crystal precipitation, arterial spasm, distal ischaemia. Propofol is the agent that meets this |
| No toxic effects | Propofol: infusion syndrome. Etomidate: adrenocortical suppression |
| No histamine release | Thiopentone: anaphylactoid reactions in about 1 in 20 000 administrations |
| No hypersensitivity reactions | Thiopentone again; etomidate is the agent in which they are least common |
| Water-soluble formulation | Propofol: insoluble in water, hence the lipid emulsion and everything that follows from it |
| Long shelf-life at room temperature | Thiopentone: reconstituted solution keeps for days, not months |
| Minimal environmental impact | Met by the intravenous agents, and the strongest argument for them over the volatiles |
Two cuts
Classification by chemistry, and by molecular target
Almost every question on this topic opens with a classification, and the two available classifications answer different questions. Chemical class predicts formulation, metabolism and the pattern of adverse effects — it is why the barbiturate needs an alkaline vial and the alkylphenol needs an emulsion. Molecular target predicts the shape of the clinical effect: whether the patient looks asleep or dissociated, whether the drug is analgesic, whether it will stop them breathing.
Two cuts through the same seven drugs
Chemical class runs down the left, molecular target across the top. The two do not nest inside each other, which is why this is a matrix and not a tree: four unrelated chemical families converge on the same transmembrane site of the same receptor, and the imidazole ring appears in three separate rows doing three different jobs — carrying an ester in etomidate, fused to a benzodiazepine nucleus in midazolam, and alone on a dimethylphenyl scaffold in dexmedetomidine. Methohexitone, Remimazolam, Alfaxalone are drawn open: they belong in the classification and are named here, and the module does not teach them.
Three agents are named in the classification and taught nowhere in this module, and they are named deliberately because a classification that omits them is incomplete. Methohexitone is the oxybarbiturate — no sulphur at C2 — cleared about three times faster than thiopentone and still the agent of choice for electroconvulsive therapy. Remimazolam is an ultra-short-acting benzodiazepine designed to be broken down by tissue esterases rather than by the liver, which gives it the organ-independent offset that midazolam lacks. Alfaxalone is the surviving neuroactive steroid; the class was abandoned in human practice when althesin’s solubilising vehicle proved to cause anaphylaxis, not because the pharmacology was wrong.
| Agent | GABA-A | Glycine | NMDA | Neuronal nicotinic |
|---|---|---|---|---|
| Propofol | ++++ | + | 0 | − |
| Thiopentone | +++++ | ++ | 0 | − |
| R-etomidate | +++++ | 0 | 0 | 0 |
| S-etomidate | 0 | 0 | 0 | 0 |
| Ketamine | 0 | 0 | − | 0 |
| Isoflurane | ++++ | +++ | 0 | − |
| Nitrous oxide | 0 | 0 | − | 0 |
| Xenon | 0 | 0 | − | 0 |
Read the two etomidate rows together. R-etomidate is among the most active agents at the GABA-A receptor in the table; S-etomidate is inactive at every receptor in it, with roughly a 30-fold difference in activity between them. Two molecules with identical atoms, identical bonds and identical lipid solubility, and only one of them is an anaesthetic. That is about as clean a demonstration as pharmacology offers that these drugs act on a protein with a shaped binding site, and not by dissolving into a membrane — which is the whole argument that replaced the Meyer–Overton lipid theories.
Target one
The GABA-A receptor
GABA is the principal inhibitory transmitter of the mammalian central nervous system, and the GABA-A receptor is the only site proven to be involved in barbiturate-induced anaesthesia. Structurally it belongs to the same pentameric ligand-gated family as the nicotinic acetylcholine receptor: five subunits arranged around a central pore, each contributing four transmembrane segments to the channel wall. There are at least thirty subunit combinations, and which combination a neurone expresses decides which drugs affect it and how.
The GABA-A receptor, from above
A pentamer of subunits arranged round a central chloride ionophore. The two GABA sites sit at the β/α interfaces and both must be occupied for the channel to open. The benzodiazepine site is at the α/γ interface and does something different: it raises the frequency of channel opening in the presence of GABA and cannot open the channel by itself, which is the ceiling effect midazolam is known for. The general anaesthetic site is not at an interface in this plane at all — it is in the transmembrane domain of the β subunit, and it is where propofol, etomidate, the barbiturates and the volatiles act. At low concentration those drugs prolong the opening that GABA has caused; at high concentration they open the channel with no GABA bound at all, and it is that second action, not the first, that produces anaesthesia rather than sedation.
The three sites, and why they are not interchangeable
The GABA sites. Two of them, at the interfaces the α subunits make with the β subunits. Both must be occupied for the channel to open. Occupying one does nothing — the same asymmetry that governs the nicotinic receptor, and for the same structural reason.
The benzodiazepine site sits at the α/γ interface, and this is where midazolam binds. What it does there is positive allosteric modulation and nothing else: it increases the frequency with which the channel opens in response to GABA that is already present. It cannot open the channel by itself at any concentration. That single mechanistic fact is the origin of the benzodiazepine ceiling effect — a benzodiazepine can only amplify the inhibition the brain is already generating, so there is a maximum beyond which more drug achieves nothing — and it is why a pure benzodiazepine overdose is survivable in a way a barbiturate overdose is not.
The general anaesthetic site is somewhere else entirely — in the transmembrane domain of the β subunit, not at an interface in the plane you would draw the receptor from above. Propofol, etomidate, the barbiturates and the halogenated volatiles all act here, and the β subunit subtype matters: β2 and β3 are more sensitive to etomidate than β1, and sites on all three β transmembrane domains are crucial to propofol’s hypnotic action.
Propofol is not confined to GABA-A. It also lengthens glycine channel opening, inhibits neuronal nicotinic and 5-HT3 receptors, and inhibits the NMDA receptor by modulating sodium channel gating. Etomidate, by contrast, is remarkably selective — which is one reason its adverse effects are endocrine rather than neurological.
Target two
The NMDA receptor
The NMDA receptor is an excitatory glutamate-gated cation channel, and it is unusual among ligand-gated channels in requiring three conditions at once before it will pass current: glutamate bound, glycine bound as co-agonist, and the membrane depolarised enough to expel a magnesium ion that otherwise sits in the pore. That magnesium plug is a voltage-dependent block of a chemically gated channel, and it is what makes the receptor a coincidence detector — the property underlying long-term potentiation, learning and memory.
Ketamine in the open NMDA channel
The NMDA receptor needs three things at once: glutamate, glycine as co-agonist, and a membrane depolarised enough to expel the magnesium ion sitting in its pore. Ketamine binds the phencyclidine site inside that pore, so it can only reach it after the channel has opened — the block is use-dependent, and it is deepest in the neurones that are firing hardest. The magnesium analogy is exact in geometry and different in kind: magnesium is expelled by depolarisation, and ketamine is not.
Ketamine binds the phencyclidine recognition site inside the pore. The consequences of that location, rather than of the binding itself, are what make this block behave unlike a competitive antagonism:
- The antagonism is non-competitive. Ketamine does not compete with glutamate for the glutamate site — glutamate can continue to bind normally. Raising glutamate does not overcome the block. Calling it competitive is the commonest mis-description of it, and it is wrong in a way that matters: a competitive antagonist is by definition surmountable by more agonist, and this one is not.
- The block is use-dependent. The drug can only reach a site inside the channel once the channel has opened, so the block develops fastest and deepest in the neurones that are firing most. A quiet neurone is relatively spared.
- The concentration changes the mechanism. At sub-anaesthetic doses ketamine also binds the closed receptor and reduces the frequency of opening by an allosteric mechanism; at higher concentration it blocks both open and closed channels, and that is the dissociative state. The analgesic dose and the anaesthetic dose are not the same drug action turned up.
Target three
The α2 adrenoceptor and the locus coeruleus
Dexmedetomidine is a highly selective agonist at the α2 adrenoceptor, a G-protein-coupled receptor whose intracellular effects include inhibition of adenylate cyclase and modulation of calcium and potassium conductance. Its selectivity for α2 over α1 is about 1600:1, against roughly 220:1 for clonidine — which is the quantitative version of the statement that dexmedetomidine is the more specific drug.
How an α2 agonist sedates without stopping breathing
Propofol and midazolam sedate by opening a chloride channel wherever their receptor is expressed, and the respiratory centre expresses it. Dexmedetomidine does something structurally different: it turns down one noradrenergic nucleus and lets the brain’s own sleep switch do the rest. Because the arousal pathway is being released rather than the whole cortex depressed, the sedation resembles natural non-REM sleep — rousable, cooperative, and returning on its own when the patient is left alone — and the respiratory centre is not a target at any point in the chain. Note the sign changes: two inhibitions in series are an excitation.
The chain matters more than the receptor. Reducing noradrenergic output from the locus coeruleus lifts the inhibition that nucleus exerts on the ventrolateral preoptic nucleus; released, the preoptic nucleus increases GABA and galanin release onto the tuberomammillary nucleus; and histamine release into cortex and subcortex falls. That is the endogenous non-REM sleep pathway, entered at its own switch. The clinical signature follows directly: patients are rousable and cooperative, follow commands while intubated, and fall asleep again when left alone.
Structure–activity
What each ring and substitution buys
Four rings, four different jobs
Propofol is a phenol with an isopropyl group on each side of the hydroxyl — the 2,6-diisopropyl substitution. Those two bulky alkyl groups are what make an otherwise modest molecule so lipid soluble that it will not dissolve in water at all, which is the origin of the emulsion and of everything the emulsion costs. Thiopentone is a barbiturate ring with a sulphur where the oxybarbiturates carry oxygen: PubChem names that atom the 2-sulfanylidene, and it is the single substitution that raises lipid solubility enough to turn a sedative into an induction agent. Etomidate is an imidazole carrying an ethyl ester; the ester is what non-specific hepatic esterases hydrolyse, and it is why the drug has no active metabolite. Ketamine is a cyclohexanone with a chlorophenyl ring and a methylamino group on the same carbon — and that carbon is the chiral centre the two isomers differ at.
| Feature | Molecule | What it buys, and what it costs |
|---|---|---|
| Phenol ring with 2,6-diisopropyl substitution | Propofol | Two bulky alkyl groups flanking the hydroxyl give very high lipid solubility and a pKa of 11, so the molecule is almost entirely unionised at pH 7.4 and crosses the blood–brain barrier freely. The cost is that it will not dissolve in water at all, which forces the lipid emulsion. |
| Sulphur substituted for oxygen at C2 | Thiopentone | Converts an oxybarbiturate into a thiobarbiturate: markedly greater lipid solubility, higher protein binding and complete hepatic metabolism, which is what turns a sedative barbiturate into an induction agent. The cost is a long elimination half-life and accumulation on repeat dosing. |
| Imidazole ring carrying a carboxylic ester | Etomidate | The ring is weakly basic with a pKa of 4.2, so the drug is unionised and lipid soluble at body pH; the ester is hydrolysed by non-specific hepatic esterases to an inactive acid and ethanol, so there is no active metabolite. The cost is that the same imidazole nitrogen binds a cytochrome P450 enzyme in the adrenal cortex. |
| A single chiral centre | Ketamine | The carbon carrying both the chlorophenyl ring and the methylamino group is asymmetric, so the drug exists as two enantiomers with different potency and different emergence profiles. The cost is that the racemate delivers both. |
| Imidazole ring fused to a benzodiazepine nucleus | Midazolam | Confers pH-dependent solubility: water soluble in the acidic ampoule, lipophilic at body pH. It is the only benzodiazepine that manages both, which is why it is the only one given intravenously without a solvent. |
The bottle
Formulation as pharmacology
None of these drugs dissolves in water on its own, because the same lipid solubility that gets them into the brain keeps them out of the ampoule. What was done about that is not packaging trivia — it is the origin of pain on injection, of two drug incompatibilities, and of the only lethal complication in the module.
The lipid emulsion — propofol
Propofol 1% is an oil-in-water emulsion: 10% soybean oil as the lipid phase, 1.2% purified egg phospholipid as emulsifier, 2.25% glycerol to make it isotonic, and sodium hydroxide to adjust the pH to about 7. EDTA or another agent is added because the emulsion is otherwise an excellent bacterial growth medium. Four consequences follow, and all four are examinable:
- Pain on injection, from the aqueous-phase propofol in contact with venous endothelium — which is why raising the proportion held in the lipid phase, as the medium-chain triglyceride formulations do, reduces it.
- Microbial growth, hence the preservative and the rule about discarding drawn-up syringes.
- A lipid load. An infusion delivers a non-nutritional calorie load that is significant over days and must be counted in the nutritional prescription — though it is not a way of providing calories, and treating it as one is how a patient ends up overfed on lipid.
- An allergy question that turns out to have a clear answer, and lesson 2 gives it.
The alkaline vial — thiopentone
Thiopentone is supplied as a pale yellow powder of the sodium salt, mixed with 6% by weight anhydrous sodium carbonate, in a vial filled with nitrogen rather than air. Reconstituted to 2.5%, the solution has a pH of about 10.5. Both measures exist for the same reason. Sodium carbonate reacts with water to give a strongly alkaline solution, which drives the keto–enol tautomerism towards the water-soluble enol form. Nitrogen replaces air because atmospheric carbon dioxide would dissolve, form carbonic acid, lower the pH and push the equilibrium back towards the insoluble keto form.
Propylene glycol — etomidate
Etomidate is presented as a 0.2% solution at pH 4.1 containing 35% v/v propylene glycol, which improves stability and reduces the irritant properties of the injection. A lipid emulsion formulation also exists. The solvent is why etomidate hurts going in — about a quarter of patients — and the lipid formulation exists to address exactly that.
| Agent | Chemical class | pKa | pH of solution | Protein binding |
|---|---|---|---|---|
| Propofol | Alkylphenol | 11 | 7 | 98% |
| Thiopentone | Thiobarbiturate | 7.6 | 10.5 | 80% |
| Etomidate | Carboxylated imidazole | 4.2 | 4.1 | 75% |
| Ketamine | Phencyclidine derivative | 7.5 | 3.5–5.5 | 25% (Peck) / 12% (Miller) |
| Midazolam | Imidazobenzodiazepine | 6.15 | 3.5 | 96% |
| Dexmedetomidine | Imidazole α2-agonist | 7.1 | 7 | 94% |
Read the pKa column against the pH column. Thiopentone’s pKa sits almost exactly at plasma pH, so its ionisation — and therefore the fraction free to act — moves with the patient’s acid–base state; lesson 3 makes that quantitative. Propofol’s pKa of 11 puts it essentially entirely unionised at any physiological pH, so nothing the patient does to their pH changes its availability. Etomidate’s pKa of 4.2 means the opposite arrangement: unionised and lipid soluble in the patient, and soluble enough to bottle only because the ampoule is acidic.
Front-end kinetics
Plasma, effect site, and the lag between them
Peak plasma concentration after a bolus arrives within a few seconds of the injection finishing. Peak effect arrives one to four minutes later. The gap is real, it is measurable, and misjudging it is the most common reason an otherwise adequate induction produces coughing at laryngoscopy.
The reason is that the plasma is not the biophase. Drug has to leave the blood and equilibrate with the brain, and that transfer takes time. The standard way of describing it is to hang a notional effect-site compartment off the central compartment, small enough to contain no meaningful amount of drug and therefore not to perturb the kinetics, and to give it a single rate constant:
In words: the effect site chases the plasma at a rate proportional to the gap between them. Cp is the plasma concentration, Ce the effect-site concentration, and ke0 the rate constant for elimination of drug from the effect site, in min⁻¹. A large ke0 means the effect site fills and empties quickly, and the lag is short.
Why peak effect comes minutes after peak plasma concentration
The blood is not where the drug works. Concentration at the effect site chases plasma at a rate set by ke0, so the effect-site curve rises while plasma is already falling and peaks where the two cross. That crossing is when the patient is at their deepest, and it is when you intubate. Three curves are drawn because the sources disagree. The Marsh model uses a ke0 of 0.26 min⁻¹, Schnider 0.456, and the Modified Marsh model 1.21 — a more than fourfold spread — which moves peak effect from 247 seconds to 118 across the same plasma profile. Miller quotes a t½ke0 of 2.5 minutes and, on the same page, a time to peak effect of 90–100 seconds; those two statements are not compatible with each other, and the figure shows why. For the examination, quote the relationship and the definition; do not commit to a single number.
The peak of the effect-site curve is where it crosses the falling plasma curve — which has to be true, because that is where dCe/dt is zero. At that moment the patient is at their deepest, and beyond it both curves fall together. That crossing point is what a pump means when it reports an effect-site concentration, and it is why an effect-site-targeted infusion pauses.
The same relationship explains a comparison that comes up repeatedly: alfentanil has far less hysteresis than fentanyl because its ke0 is larger, not because it is more potent — it is considerably less potent. The general theory of hysteresis and effect-site modelling belongs to the pharmacokinetics module; what this lesson adds is the numbers for these particular drugs and what they do to a real induction.
Front-end kinetics
Why a single bolus wears off
A single bolus wears off by redistribution, not by metabolism
Whole-blood propofol after 2 mg/kg. The concentration peaks within about half a minute and then collapses — and almost none of that collapse is elimination. The drug is moving out of the small, well-perfused central compartment into muscle, down a gradient the injection itself created. Consciousness returns when the blood concentration falls back through roughly 1.5 μg/mL, at about 8 minutes, while essentially all of the dose is still in the body. Two consequences follow, and both are examined. Give a second bolus and the gradient into muscle is smaller, so it lasts longer. Give an infusion for hours and the peripheral compartments fill, so when you stop, drug comes back — which is the whole reason the context-sensitive half-time exists.
Follow the mass, not the concentration. An induction dose is injected into a central compartment consisting of blood and the vessel-rich group — brain, heart, liver, kidney, endocrine tissue — which together are perhaps 10% of body mass and receive perhaps 75% of the cardiac output. The concentration there goes very high very fast, which is exactly what is required for an effect within one arm–brain circulation.
That high concentration is also a steep gradient into every tissue that has not yet received any. Muscle is about 50% of body mass and receives roughly a fifth of the cardiac output, so it fills over minutes, and while it fills it draws drug out of the central compartment. The plasma concentration therefore falls steeply — and the brain, in equilibrium with the plasma, empties with it. The patient wakes.
Two consequences follow, and both are more examinable than the statement itself.
- A second bolus lasts longer than the first. The gradient into muscle is what terminated the first dose, and the first dose partly abolished it. Give the second dose into a partly loaded peripheral compartment and less drug leaves the centre, so the concentration stays higher for longer. This is why repeated boluses accumulate in a way that a single dose does not predict.
- An infusion inverts the whole argument. Run the drug for hours and the peripheral compartments approach equilibrium with the plasma. Stop, and there is no longer a gradient out — in fact drug now returns from muscle and fat into the blood, opposing the fall. Recovery then depends on metabolism, and the agents diverge sharply. That is the next section.
Fat, the third compartment, is worth a separate sentence because it behaves unlike the other two. It is large and extremely poorly perfused, so its time constant is measured in hours; it plays almost no part in terminating a bolus, and it is the reason a long infusion of a lipid-soluble agent has an offset that a short one does not predict. Compartment models themselves — the derivation, the rate constants, the BET scheme — belong to kinetics and models.
Front-end kinetics
Context-sensitive half-time
It is also not the elimination half-life, and the reason is worth stating mechanically rather than as a slogan. The elimination half-life describes the terminal exponential alone — the slope measured after a single bolus, when the peripheral compartments were empty. After a long infusion they are not empty, and when the infusion stops they hand drug back. The terminal slope was measured in conditions that no longer apply.
A second wording point: half-lives are constant and half-times are not. After one context-sensitive half-time, the next halving takes longer still, because the faster distribution processes have already been used up and the slower ones increasingly dominate. A half-life is a property of an exponential; a half-time is an observed duration.
Move the infusion duration and read all six half-times at once
Context-sensitive half-time is the time for the plasma concentration to fall by half after an infusion stops, and context is how long the infusion ran. It is not the elimination half-life, and steady state is not part of the definition — an infusion can be stopped at any time. Drag the control and watch six agents separate: at ten minutes they are nearly indistinguishable, and by eight hours thiopentone has left the axis while etomidate has barely moved.
Two things set the shape of each curve. How high it rises is the ratio of distribution clearance to elimination clearance: if drug leaves the plasma into tissue much faster than it is eliminated, a reservoir accumulates and is handed back when the infusion stops. How long it keeps rising is the size and speed of the deep compartment — once that compartment is full, the curve plateaus.
Thiopentone and diazepam leave the axis because neither reaches a plateau inside eight hours. Thiopentone additionally saturates its own metabolism at high dose, so an infusion moves from first-order towards zero-order handling — a second reason its offset lengthens that the other agents do not share.
Two agents on that figure are worth reading against each other. Propofol stays under 40 minutes even at eight hours, because its clearance is so high that elimination keeps pace with return from the periphery — which is the entire pharmacological case for total intravenous anaesthesia, and lesson 2 takes it apart. Thiopentone leaves the axis, for two separate reasons that compound: a low clearance, and a metabolism that saturates at high dose so that handling moves from first-order towards zero-order. An infusion of thiopentone is a decision with a tail measured in days.
Putting it together
What actually decides the induction dose
The textbook dose is a starting point for a 70 kg adult who is not bleeding. Everything below moves it, and each one moves it for a reason already established in this lesson — which is why this section is the synthesis rather than a separate list to learn.
| Factor | Effect on dose | Mechanism |
|---|---|---|
| Age | Falls steadily; a patient over 80 needs roughly half the propofol dose of a 20-year-old | Both kinetic and dynamic. The central compartment is smaller and clearance lower, largely from reduced cardiac output, so the same dose gives a higher peak concentration; and the brain is more sensitive to that concentration. Children run the other way — a larger central compartment and faster clearance mean a larger dose per kilogram, with the propofol ED95 rising to 2–3 mg/kg |
| Cardiac output and circulation time | Low output: smaller dose, given more slowly, and wait longer | Two effects that pull in opposite directions on timing but the same direction on dose. A low cardiac output means a smaller effective central volume and a higher peak concentration for a given dose; it also lengthens the arm–brain circulation time, so the effect appears later. Injecting a normal dose at a normal speed and waiting a normal interval is how a patient with a low output is given twice what they needed |
| Protein binding and free fraction | Hypoalbuminaemia: smaller dose | Only unbound drug can cross into the brain. These agents are highly bound — propofol 98%, thiopentone 80% — so a modest fall in albumin produces a proportionally large rise in the free fraction. Displacement by another highly bound drug does the same |
| Acid–base state | Acidaemia: smaller dose, for thiopentone especially | For a weak acid with a pKa near plasma pH, acidaemia shifts the equilibrium towards the unionised, membrane-permeable form. Thiopentone's pKa of 7.6 makes it the extreme case; lesson 3 quantifies it. Acidosis also tends to reduce protein binding, so both terms move the same way |
| Hypovolaemia and shock | Substantially smaller dose — of the order of half | A contracted central volume raises the peak concentration; a redistributed cardiac output sends a larger share of it to the brain; and haemorrhagic shock additionally shifts the concentration–effect relationship to the left, so a lower effect-site concentration produces the same depth. All three act together, which is why the reduction is so large |
| Obesity | Depends on the agent and on what the dose is for | Lipid-soluble drugs have a larger absolute volume of distribution in the obese, but the central compartment and cardiac output do not scale with fat mass. See the scalars below |
The kinetic numbers, and a disagreement between sources
| Agent | Vd | Clearance | Elimination t½ | Active metabolite | Miller's own figures (VdSS · t½) |
|---|---|---|---|---|---|
| Propofol | 4 L/kg | 30–60 mL/kg/min | 5–12 h | No | 2–10 L/kg · 4–7 h |
| Thiopentone | 2.5 L/kg | 3.5 mL/kg/min | 6–15 h | Yes | 1.5–3 L/kg · 7–17 h |
| Etomidate | 3 L/kg | 10–20 mL/kg/min | 1–4 h | No | 2.5–4.5 L/kg · 2.9–5.3 h |
| Ketamine | 3 L/kg | 17 mL/kg/min | 2 h | Yes | 3.1 L/kg · 2.5–2.8 h |
| Midazolam | 1.1–1.7 L/kg | 6.4–11 mL/kg/min | 1.7–2.6 h | Yes | 1.1–1.7 L/kg · 1.7–2.6 h |
| Dexmedetomidine | 2–3 L/kg | 10–30 mL/kg/min | 2–3 h | No | 2–3 L/kg · 2–3 h |
The last column is there because the two standard references do not agree, and pretending otherwise is worse than showing it. Peck reports volume of distribution, Miller reports volume of distribution at steady state, and the two draw on different source series — so propofol’s elimination half-life is 5 to 12 hours in one book and 4 to 7 in the other, and thiopentone’s is 6 to 15 against 7 to 17. Ketamine protein binding is 25% in Peck and 12% in Miller. In an answer, quote one source’s figure and say which — or give the range across both. What is not in dispute is the ordering: propofol’s clearance is an order of magnitude greater than thiopentone’s, and ketamine is by some distance the least protein-bound of the four.