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Atlas / Biology / The Disease Thread

Field · Emerged 1911 – 2013

Cancer Biology

What kind of process turns one of a body's own cells into a lineage that grows without limit, and why does it take decades?

4 chapters7 min read7 turning points1 open problem

Branched from
Genetics + Cell Biology
Branched into
Not yet surveyed past here
Figures
Peyton Rous, Richard Doll, Theodor Boveri, Peter Armitage, Alfred Knudson, Harold Varmus, J. Michael Bishop, Peter Vogt, Bert Vogelstein, Arnold Levine, Douglas Hanahan, Robert Weinberg

In brief

Cancer is not one disease and for most of the twentieth century it was not clear that it had one kind of cause. Chemicals caused it, radiation caused it, some viruses caused it, and families carried it — a list with no obvious common factor. The resolution came from statistics before it came from molecules. In 1954 Armitage and Doll noticed that the incidence of common carcinomas rises as roughly the fifth power of age, which is the signature of a process requiring several independent rare events in one lineage of cells. In 1971 Knudson showed from the age distribution of a childhood eye tumour that the number of required events could be counted, and that inherited cases start with one of them already in place.

Molecular biology then found what the events are. The oncogenes that tumour viruses carry turned out to be corrupted copies of genes the cell already had; a second class of genes normally restrains division, and cancer requires losing both copies. By 2013, sequencing whole tumour genomes gave a direct count: a typical adult solid tumour carries two to eight mutations that drive it, among thousands that do not. Three independent routes — age curves from 1954, a childhood tumour from 1971 and genome sequencing from 2013 — arrived at the same small number.

Key ideas

Somatic mutation theoryEnters 1954

Cancer arises from heritable changes in a single body cell and its descendants, not from a change in the organism as a whole. The tumour is a clone, and its properties are the properties of a lineage under selection.

Multistage carcinogenesisEnters 1954

Several independent rare events must occur in the same lineage, in roughly the right order. A process requiring kk such steps produces incidence rising as the (k−1)(k-1)th power of age, which is how the number of steps can be read off an epidemiological curve.

Two-hit hypothesisEnters 1971

A tumour suppressor gene must lose both copies to have an effect. An inherited defective copy supplies one hit in every cell of the body, so only one further event is needed — which makes hereditary cancers earlier, multiple and bilateral.

Proto-oncogeneEnters 1976 – 1982

A normal cellular gene that promotes growth and division, which becomes an oncogene when mutation, amplification or translocation leaves it permanently switched on. The cancer-causing genes of tumour viruses are stolen, altered copies of these.

Tumour suppressorEnters 1979 – 1989

A gene whose normal job is to restrain division or to force damaged cells to stop or die. Loss of function, in both copies, removes a brake; TP53 is mutated in roughly half of all human cancers.

Driver and passengerEnters 2008 – 2013

Of the thousands of mutations in a tumour genome, a handful confer a growth advantage and were selected for; the rest were carried along by the clone that happened to contain them. Distinguishing the two is a statistical problem, not a biochemical one.

Draws on other domains

Chapter I

A Disease With No Common Cause

By 1950 the list of things that cause cancer was long and incoherent. Coal tar painted on rabbit ears caused it, as Yamagiwa had shown in 1915. Radium caused it, as the dial painters of New Jersey demonstrated at the cost of their lives. Peyton Rous had shown in 1911 that a cell-free filtrate from a chicken sarcoma transmits the tumour, so something infectious and submicroscopic could cause it — a result so unlike the rest that it was treated as a peculiarity of poultry for forty years. Some families clearly carried a tendency. Theodor Boveri had suggested in 1914, from watching abnormal cell divisions in sea urchin eggs, that the cause was a disordered chromosome complement.

What unified the list was not a mechanism but a curve. Peter Armitage and Richard Doll plotted the incidence of stomach, colon and other common carcinomas against age, on logarithmic axes, and got straight lines — not the rising-then-falling shape of an infectious disease, nor a constant hazard, but a steep power law. They identified what produces it: a sequence of several independent rare events that must all occur within the descendants of a single cell.

That inference deserves emphasis, because it was made in 1954 with no molecular knowledge at all. From the shape of an epidemiological curve they concluded that cancer is somatic, clonal, and multistage, and they estimated the number of stages at about six.

Chapter II

The Genes Turn Out to Be Ours

The molecular identification began with Rous's chicken virus, which had been kept alive in laboratories as a curiosity. By the 1970s the gene responsible for its transforming power had been localised: src. In 1976 Harold Varmus and J. Michael Bishop, with Dominique Stehelin and Peter Vogt, used a radioactive probe for viral src to look for related sequences in the DNA of uninfected chickens — and found one. So did every other vertebrate they tested. The virus had not invented a cancer gene; it had picked up a normal gene for growth control, some time in the past, and carried a damaged copy.

This reframed everything. Cancer genes are not foreign; they are the cell's own machinery stuck in the on position, and a virus is only one of the ways to break them. In 1982 three groups pulled an active oncogene straight out of a human bladder carcinoma and found it differed from the normal RAS gene by a single base.

The other class of gene was harder to see, because losing something is harder to detect than gaining it, and the story of p53 shows how hard. A 53-kilodalton protein found in 1979 bound to a viral antigen was abundant in transformed cells and, when introduced into cells, helped transform them. It was classified as an oncogene and studied as one for ten years. Then Bert Vogelstein's group found that colorectal tumours have lost the gene from both copies of chromosome 17, and Arnold Levine's group discovered that the clones everyone had been working with were mutants. The normal protein is a brake — it arrests or kills damaged cells — and the mutants jam the brake for the remaining normal copy as well. TP53 is now known to be mutated in roughly half of all human cancers.

Chapter III

A Closer Look: Three Ways to Count the Hits

From the age curve. Suppose a cell must accumulate kk specific rare changes, each occurring at a small rate per unit time, in order to become malignant. The probability that all kk have happened by time tt goes as tkt^{k}, so the incidence — the rate at which new cases appear — goes as the derivative,

I(t)∝t k−1.I(t) \propto t^{\,k-1}.

On log–log axes that is a straight line of slope k−1k - 1. For large-bowel cancer the observed slope is about 5, so k≈6k \approx 6. The same arithmetic explains the brutal age dependence in ordinary terms: if incidence rises as the fifth power of age, then doubling age from 40 to 80 multiplies it by

25=32.2^{5} = 32.

Cancer is overwhelmingly a disease of the old not because old tissues are weak but because the required events take that long to pile up in one lineage.

From a childhood tumour. Alfred Knudson found a case where kk is small enough to see. Retinoblastoma occurs in two forms. In the hereditary form, tumours appear in infancy, usually in both eyes, often at several points in each retina; in the sporadic form, later, in one eye, singly. He showed that this is what a two-event process looks like when the first event is either inherited or not.

If a hereditary patient already carries one defective copy in every retinal cell, only one further event is needed, so tumours appear at a rate roughly constant in time: the number per patient follows a Poisson distribution, and Knudson's data fitted a mean of about three. The chance of having no tumour at all in either eye is then e−3≈5%e^{-3} \approx 5\%, which matches the small fraction of carriers who escape. For sporadic cases both events must happen in the same cell, a far rarer coincidence, producing one tumour, later, and almost never two.

The prediction hidden in this is the striking part. For the inherited form to act as one hit, the mutation must remove a function rather than add one, and the second event must remove the remaining copy — so the gene involved is a brake, and cancer requires losing both copies of it. That was 1971. RB1 was cloned in 1986 and behaved exactly so.

From the genomes. The third count came from sequencing. A typical adult solid tumour carries thousands of somatic mutations, the great majority of them irrelevant passengers. Distinguishing drivers requires statistics — a gene mutated more often than the local background rate predicts, or mutated at a specific site repeatedly. The 2013 synthesis of thousands of tumours gave the answer: two to eight driver mutations per tumour, falling into about a dozen pathways.

Three methods, three eras, three kinds of data: an age curve from 1954, 48 childhood cases from 1971, and whole-genome sequencing from 2013. All land on a handful of required events. That convergence is the strongest evidence the field has that the multistage clonal picture is right, and it is the reason the number of steps is now treated as a fact rather than a model parameter.

Chapter IV

A Clone Under Selection

What holds the picture together is that a tumour is an evolving population. Peter Nowell set this out in 1976: the cells of a tumour are a clone with variation, their environment selects among them, and treatment is a selection pressure like any other. This is why resistance emerges — not because cells learn, but because the rare cell that already had the resistant mutation is the one that survives and repopulates. It is the same arithmetic as the resistance calculation in pharmacology and the quasispecies problem in virology, applied to a lineage of human cells.

It also explains the field's hardest unsolved problem. Metastasis is what kills, and sequencing has not found mutations specific to it. If the capacity to spread comes from the state a cell is in rather than from a gene it acquired, then the thing to find is not another driver but a configuration — which is a considerably harder object to look for, and the reason the most lethal step in the process is the least understood.

Applications

Where it is used

  • Clinical practice

    Treating by mutation rather than by organ

    Knowing the driver changes what is prescribed. A lung adenocarcinoma with an EGFR mutation is treated with an inhibitor of that kinase rather than with chemotherapy; tumours with defective mismatch repair respond to immune checkpoint blockade regardless of which organ they arose in, and such a treatment has been licensed on that basis alone. The logic descends directly from the oncogene work of the 1970s.

    › Sources (1)
    • Le, D. T. et al. (2015). PD-1 blockade in tumors with mismatch-repair deficiency. New England Journal of Medicine 372: 2509–2520.
  • Prevention↗ Biology

    Mutational signatures as a record of exposure

    Each mutagen leaves a characteristic pattern of base substitutions in the genomes it damages. The signature of tobacco smoke, of ultraviolet light, of aflatoxin and of a failed repair pathway can each be read out of a tumour sequence, which turns a cancer genome into a partial exposure history and gives epidemiology a biomarker rather than a questionnaire.

    › Sources (1)
    • Alexandrov, L. B. et al. (2020). The repertoire of mutational signatures in human cancer. Nature 578: 94–101.
  • Stochastic processes↗ Mathematics · Stochastic Processes

    Carcinogenesis as a multi-type branching process

    The multistage model is a mathematical object in its own right: a population of cells, each able to divide, die, or acquire one of several mutations, with the first cell to complete a required set initiating a tumour. Analysing the waiting time for that event drove work on multi-type branching processes and on the statistics of the fastest of many independent accumulating processes.

    › Sources (2)
    • Moolgavkar, S. H. & Knudson, A. G. (1981). Mutation and cancer: a model for human carcinogenesis. Journal of the National Cancer Institute 66: 1037–1052.
    • Durrett, R. (2015). Branching Process Models of Cancer. Springer.

Open problems

Where the map runs out

Open

What makes a tumour metastasise

Open as of 2026; no consistent set of metastasis-specific driver mutations has been found.

Metastasis causes the great majority of cancer deaths, and it is the part of the process least understood. Sequencing metastases against their primary tumours has not revealed mutations that are specific to the ability to spread; the capability appears to come from changes in gene expression, from interactions with the immune system and the surrounding tissue, and from the properties of the distant site that accepts the cell.

Why it is hard

The events are rare, transient and almost impossible to observe: a cell leaves, survives in the circulation, lodges somewhere, and may sit dormant for years before growing. Model systems that metastasise reliably do so by routes that may not be the human ones, and by the time a metastasis is sampled the informative steps are long past.

What resolving it unlocks

Preventing or controlling spread would change cancer outcomes more than any improvement in treating primary tumours, since a localised cancer is usually curable by surgery.

› Sources (2)
  • Lambert, A. W., Pattabiraman, D. R. & Weinberg, R. A. (2017). Emerging biological principles of metastasis. Cell 168: 670–691.
  • Birkbak, N. J. & McGranahan, N. (2020). Cancer genome evolutionary trajectories in metastasis. Cancer Cell 37: 8–19.

Further reading

  1. Weinberg, R. A. (2013). The Biology of Cancer, 2nd edition. Garland Science.

    The standard textbook, built around the hallmarks framework its author proposed.

  2. Mukherjee, S. (2010). The Emperor of All Maladies. Scribner.

    A history of cancer and its treatment, strong on the clinical side the laboratory literature omits.

  3. Frank, S. A. (2007). Dynamics of Cancer. Princeton University Press.

    The quantitative thread — age-incidence curves, multistage models, and what they can and cannot identify.