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Field · Emerged 1878 – 2001

Pharmacology

How can a molecule be chosen or designed to interfere with one process in the body, or in a pathogen, and almost nothing else?

4 chapters7 min read7 turning points1 open problem

Branched from
Biochemistry + Microbiology
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Not yet surveyed past here
Figures
Paul Ehrlich, John Newport Langley, Sahachiro Hata, Alfred Joseph Clark, Gerhard Domagk, Donald Woods, Gertrude Elion, George Hitchings, James Black, David Ho, Alan Perelson, Janet Rowley, Peter Nowell, Brian Druker, Nicholas Lydon

In brief

Every effective drug is an act of discrimination. It must reach a target, bind it tightly enough to matter at an achievable concentration, and leave the rest of a body's tens of thousands of proteins alone. Paul Ehrlich put the principle into a slogan — a substance cannot act unless it is bound — and into practice in 1909, when a systematic search through six hundred arsenic compounds produced the first synthetic drug designed to kill a specific pathogen without killing the patient.

Pharmacology became quantitative in the 1930s, when A. J. Clark showed that the relation between dose and effect follows the mathematics of molecules binding to a finite number of sites, which made affinity and efficacy measurable. From there the discipline split into finding drugs by screening — the sulfonamides, the antibiotics — and designing them from knowledge of the target, which James Black did for the adrenaline and histamine receptors, and which reached its clearest form in 2001 with a drug built against a single abnormal enzyme found only in one leukaemia. Running underneath all of it is an arms race: any population that reproduces fast enough will evolve around a single drug, which is why serious infections and cancers are treated with combinations.

Key ideas

ReceptorEnters 1878 – 1909

A specific molecule, usually a protein, to which a drug binds to produce its effect. Langley inferred its existence from the fact that nicotine and curare act on the same place in opposite ways; Ehrlich from the specificity of dyes and toxins.

Selective toxicityEnters 1878 – 1909

The difference between the dose that harms the target and the dose that harms the host. Ehrlich's chemotherapeutic index is the ratio of the two, and it is the single number that decides whether a compound can be a drug at all.

Dose–response and occupancyEnters 1926 – 1937

Effect rises with dose along a curve that saturates, because there are finitely many receptors. Plotted against log dose it is a sigmoid whose midpoint, the concentration giving half the maximal effect, measures how tightly the drug binds.

Agonist and antagonistEnters 1962 – 1976

An agonist binds and activates; an antagonist binds and blocks. The distinction separates affinity, which is about getting there, from efficacy, which is about what happens next, and it is what makes receptor blockade a design strategy.

AntimetaboliteEnters 1948 – 1977

A molecule close enough to a natural substrate to be taken up by an enzyme and wrong enough to jam it. Designing one requires knowing the pathway, which is why this approach had to wait for biochemistry.

Combination therapyEnters 1995 – 1996

Using several drugs with independent mechanisms at once, so that resistance requires several simultaneous mutations rather than one. The rationale is arithmetical, and it is the reason tuberculosis, HIV and most cancers are never treated with a single agent.

Draws on other domains

Chapter I

Nothing Acts Unless It Binds

Two lines of work converged on the same idea around 1900. John Newport Langley, studying the nerve endings in muscle, found that nicotine stimulates where curare blocks, and that the two interfere with each other rather than with the nerve or the muscle. Something in the tissue must be the point of attachment for both — a "receptive substance", which is where the word receptor comes from.

Paul Ehrlich came from staining. He had spent years finding dyes that mark one tissue, one cell type, one granule and nothing else, and he drew the obvious conclusion: chemical affinity is specific enough to discriminate between parts of a body. If a dye can find one structure, a poison can find one organism. Corpora non agunt nisi fixata — substances do not act unless bound.

Making that into a drug took a systematic search. Ehrlich and Sahachiro Hata worked through hundreds of organic arsenic compounds against the spirochaete of syphilis, looking for one that killed the organism at a dose a rabbit could survive. Compound 606, marketed as Salvarsan in 1910, was it. The drug was difficult and dangerous — a weekly intravenous infusion, for over a year, with serious toxicity — and it was the only effective treatment for a common fatal disease, and it was designed, in the sense that the search was directed by a principle rather than by folklore.

Ehrlich also gave the field its central number. The chemotherapeutic index is the ratio of the dose that harms the host to the dose that harms the target. Everything else about a drug is negotiable; a ratio near one means there is no drug.

Chapter II

From Effects to Measurements

Alfred Joseph Clark turned the subject into a quantitative science in the 1930s by assuming the simplest possible thing: a drug molecule occupies a site, there are finitely many sites, and the effect is proportional to the fraction occupied. That gives the same hyperbolic saturation curve that Michaelis and Menten had derived for enzymes, described under biochemistry. Plotted against the logarithm of concentration it becomes a sigmoid, and the concentration at half-maximal effect measures affinity.

The consequences are practical. Potency and maximum effect become separate quantities, so a drug can be weak but complete, or strong but partial. Antagonism becomes testable: a competitive blocker shifts the agonist's curve to the right without lowering its ceiling, while a non-competitive one lowers the ceiling. And the existence of a receptor can be inferred from the pharmacology before anyone has isolated the protein, which is exactly what James Black did twice.

Black's first target was the receptor through which adrenaline drives the heart. The received approach to angina was to widen the coronary arteries; he argued it would be better to reduce the heart's demand for oxygen, by blocking the signal that raises it. Propranolol followed in 1964 and became one of the most-used drugs in the world. He then inferred, from data alone, that histamine acts on a second class of receptor in the stomach distinct from the one antihistamines block, and set his chemists to build an antagonist for it. Cimetidine made most surgery for peptic ulcer unnecessary.

Meanwhile Gertrude Elion and George Hitchings pursued the other strategy: attack a metabolic step. The sulfonamides, found by screening dyes at Bayer, had turned out to work by mimicking a precursor of folate — a vitamin bacteria must synthesise and humans eat, which is the selectivity in one sentence. Elion and Hitchings applied the logic to nucleic acid metabolism deliberately and produced drugs for leukaemia, gout, transplant rejection and malaria from a single pathway. Their best demonstration of selectivity was acyclovir: the compound is inert until phosphorylated, and the enzyme that phosphorylates it efficiently is one the herpes virus supplies. An uninfected cell does essentially nothing with it.

Chapter III

A Closer Look: Why HIV Takes Three Drugs

The arithmetic that forced combination therapy is worth doing, because it is short and it decided clinical practice.

Measurements in 1995 and 1996 established the scale of HIV replication in an untreated patient: on the order of 101010^{10} new virions produced per day. The viral reverse transcriptase makes errors at roughly

μ≈3×10−5 per base per replication.\mu \approx 3 \times 10^{-5} \text{ per base per replication}.

Suppose resistance to a particular drug requires one specific base change. The number of virions produced each day already carrying it is about

1010×3×10−5=3×105.10^{10} \times 3\times10^{-5} = 3\times10^{5}.

Three hundred thousand resistant virions per day, before treatment starts. Monotherapy cannot work: the mutant is not created by the drug, it is merely given the field. This is precisely what was observed — viral load fell for weeks to months, then returned as the resistant lineage took over.

Now two drugs, requiring two independent mutations in the same genome. Assuming independence,

1010×(3×10−5)2=1010×9×10−10=9 per day.10^{10} \times (3\times10^{-5})^{2} = 10^{10} \times 9\times10^{-10} = 9 \text{ per day}.

Nine doubly resistant virions a day is still certain failure, on a timescale of months rather than weeks.

Three drugs:

1010×(3×10−5)3=1010×2.7×10−14=2.7×10−4 per day,10^{10} \times (3\times10^{-5})^{3} = 10^{10} \times 2.7\times10^{-14} = 2.7\times10^{-4} \text{ per day},

or about one triply resistant virion every

12.7×10−4≈3,700 days≈10 years.\frac{1}{2.7\times10^{-4}} \approx 3{,}700 \text{ days} \approx 10 \text{ years}.

That is the whole argument for triple therapy, and in 1996 it worked as the arithmetic said it would: viral loads fell below detection and stayed there, and HIV became a managed chronic infection.

The assumptions deserve to be stated, because each is a known failure mode. Independence is optimistic — recombination between two virions in a co-infected cell can combine resistance mutations in one step, and a single mutation sometimes confers resistance to several drugs in the same class, which is why combinations must mix mechanisms and not just molecules. The calculation also assumes the drugs reach the virus everywhere; sanctuary sites where concentrations are low support replication and therefore evolution. And it assumes doses are taken, which is why adherence, rather than pharmacology, is the main determinant of treatment failure in practice.

The same arithmetic explains tuberculosis, treated with four drugs for six months, and the resistance that follows interrupted courses. It explains why cancer chemotherapy is given in combination — the tumour is also a fast-reproducing population under selection — and why a single targeted agent against a kinase usually buys months before a mutation in the binding pocket appears. Imatinib's unusual durability comes from the leukaemia being driven by one abnormal enzyme on which the cells have become entirely dependent, which is rarer than anyone hoped in 2001.

Chapter IV

The Race That Does Not End

Ehrlich saw the problem in 1907: he reported that trypanosomes exposed to his arsenicals became resistant, and that resistance was inherited. The sulfonamides met resistance within a decade, penicillin within years of mass production, and every class since has followed. The explanation is in the preceding section, applied to bacteria rather than viruses, and it means that resistance is not a sign that a drug was flawed.

What has changed is the supply of replacements. The pathway from a new target to a usable antibiotic against Gram-negative bacteria has produced almost nothing for sixty years, because the chemical properties that let a molecule cross an outer membrane and resist efflux pumps conflict with the properties that make it a good inhibitor. The incentives are also perverse: a drug that should be held in reserve cannot be sold in quantity. The open problem above is the field's clearest case of a difficulty that is simultaneously biochemical, evolutionary and economic, and it is the reason routine surgery, transplantation and cancer treatment — all of which assume infection is treatable — are considered at risk.

Applications

Where it is used

  • Clinical medicine

    Drugs as the main tool of treatment

    Of the interventions that extended life expectancy in the twentieth century, pharmacology supplies a large share: antibiotics for infection, antihypertensives and statins for cardiovascular disease, insulin and metformin for diabetes, antiretrovirals for HIV, anaesthetics and analgesics that make surgery possible. Each is a molecule chosen for binding one target more than everything else.

    › Sources (1)
    • Rang, H. P., Ritter, J. M., Flower, R. J. & Henderson, G. (2019). Rang & Dale's Pharmacology, 9th edition. Elsevier.
  • Differential equations↗ Mathematics · Differential Equations

    Pharmacokinetics as a compartment model

    Deciding a dose and an interval is a problem in differential equations: the body is treated as one or two well-mixed compartments, the drug enters, distributes and is cleared at rates proportional to concentration, and the resulting exponentials determine the half-life, the steady-state level after repeated doses, and how long to wait between them. The compartment models of pharmacokinetics are among the oldest applied uses of linear systems of differential equations, and the inverse problem — fitting rates from sparse blood samples — drove work on parameter identifiability.

    › Sources (2)
    • Gibaldi, M. & Perrier, D. (1982). Pharmacokinetics, 2nd edition. Marcel Dekker.
    • Bellman, R. & Åström, K. J. (1970). On structural identifiability. Mathematical Biosciences 7: 329–339.
  • Agriculture

    Where most antibiotics are used

    A large share of global antibiotic consumption by mass goes to livestock, much of it for growth promotion and prophylaxis rather than treatment of disease. The practice selects for resistance in bacteria that reach people through food, water and farm workers, which is why several countries have banned growth-promotion use and why resistance is managed as an agricultural policy question as much as a clinical one.

    › Sources (1)
    • Van Boeckel, T. P. et al. (2015). Global trends in antimicrobial use in food animals. PNAS 112: 5649–5654.

Open problems

Where the map runs out

Open

Staying ahead of resistance

Open as of 2026; no new class of antibiotic against Gram-negative bacteria has reached wide clinical use since the 1960s.

Resistance is not a failure of any particular drug but the expected behaviour of a population that reproduces quickly under selection. Every antibiotic class has been met with resistance, usually within years of introduction, and the pipeline of new classes has nearly stopped — partly for scientific reasons, since Gram-negative bacteria have an outer membrane and efflux pumps that exclude most compounds, and partly economic, since a drug that should be reserved for emergencies cannot be sold in volume.

Why it is hard

The targets that are both essential and absent from human cells are few and have all been used. Compounds that cross the Gram-negative envelope must satisfy chemical constraints that conflict with the ones that make a molecule a good inhibitor. And resistance genes already exist in environmental bacteria, so deployment selects rather than creates them.

What resolving it unlocks

Routine surgery, chemotherapy, transplantation and intensive care all assume that bacterial infection can be treated. Sustaining that assumption for another century requires either new chemistry or a different strategy altogether, such as phages, antibodies, or targeting virulence instead of growth.

› Sources (2)
  • O'Neill, J. (2016). Tackling Drug-Resistant Infections Globally: Final Report and Recommendations. Review on Antimicrobial Resistance, London.
  • Lewis, K. (2020). The science of antibiotic discovery. Cell 181: 29–45.

Further reading

  1. Lesch, J. E. (2007). The First Miracle Drugs. Oxford University Press.

    How the sulfonamides changed what medicine thought it could do, and why that is forgotten.

  2. Colquhoun, D. (2006). The quantitative analysis of drug–receptor interactions: a short history. Trends in Pharmacological Sciences 27: 149–157.

    Where the dose–response mathematics came from, by someone who worked on its foundations.

  3. Le Fanu, J. (2011). The Rise and Fall of Modern Medicine, revised edition. Little, Brown.

    A sceptical account of the therapeutic era, useful as a counterweight to triumphal histories.