Cell Biology · Unit 3: Traffic and movement

Cell Shape, Migration and Cilia

How does a cell built of polymers and motors move itself, or move fluid past itself? This lesson follows a crawling cell through protrusion, adhesion, contraction and release, uses the clutch idea to compute how fast a leading edge advances, and then shows how dynein sliding inside a cilium becomes a bend. You will be able to predict the cellular phenotype of a broken migration or ciliary part.

Watch first Sliding Becomes Bending · 2:45

In 1976 Björn Afzelius described four men whose sperm did not swim. Three of them also could not clear mucus from their airways, and under the electron microscope their cilia lacked the small projections called dynein arms.

One missing part, two failures in two organs. That only makes sense if a sperm tail and an airway cilium share a machine, and they do. This lesson takes apart two ways a cell turns chemical energy into movement. A crawling cell pushes, grips, pulls and lets go, using actin, adhesion receptors and myosin II. A cilium bends because dynein motors slide microtubules past each other inside a structure that resists the sliding. Both build on the polymers of Cytoskeletal Polymers and Dynamics and the motors of Molecular Motors and Cargo.

How a cell crawls: protrude, grip, pull, release

Picture a fibroblast or a fish skin cell (a keratocyte) gliding over a dish. Its front is a lamellipodium, a sheet of cytoplasm a fraction of a micrometre thick, packed with actin filaments. The cycle has four steps.

Protrude. Actin filaments push the membrane forward by adding subunits at their barbed ends, the fast-growing ends. In extracted fish keratocytes, decorating filaments with myosin fragments showed that barbed ends predominantly face forward. The network is branched. Svitkina and Borisy imaged extracted lamellipodia of Xenopus keratocytes and fibroblasts by electron microscopy and found extensive branching, with the Arp2/3 complex at the Y-shaped branch points. The Arp2/3 complex is a seven-protein assembly that starts a new filament off the side of an old one. In keratocytes thinned with cytochalasin D, the branches met their mother filaments at 67 ± 12 degrees. Which signals switch Arp2/3 on at the front, through Rac and its partners, belongs to the signaling lesson on integrins and Rho GTPases.

Grip. Integrins are transmembrane receptors that bind the extracellular matrix outside and, through linker proteins, actin inside. Clusters of them with their linkers form focal adhesions, the cell’s anchor points on the substrate (more in Adhesion and the Extracellular Matrix).

Pull. Myosin II, the two-headed motor of muscle, assembles into small filaments that contract the actin network behind the front. In fish keratocytes the evidence supported a model in which actomyosin contraction where the lamellipodium meets the cell body moves the body forward.

Release. The rear must let go. In CHO cells on matrix-coated glass, rear retraction often tore integrins out of the cell, leaving them on the substrate, and at intermediate and high adhesiveness the rate of rear retraction appeared to limit migration speed. Disassembled filaments at the back supply monomers for the front.

Not every cell crawls this way. Some push out blebs, round bulges of membrane driven by pressure from contraction of the cortex, the actin layer under the membrane. And leukocytes squeezed in confined spaces have been shown to move without transmembrane force coupling at all, using actin flow that follows the texture of their surroundings (Reversat and colleagues, 2020). The neurons and neural crest cells of the developing brain use versions of these modes; see the growth cone, neural crest, radial migration and tangential migration.

Retrograde flow and the clutch

Watch fluorescent actin speckles in a lamellipodium and you see the network moving backward, away from the edge, even as the edge moves forward. This is retrograde flow. Two forces drive it: the membrane pushes back on the growing filaments, and myosin II pulls the network rearward.

Think of a car’s clutch. With the clutch in, the engine turns the wheels. With it slipping, the engine races and the car barely moves. Polymerization is the engine. Adhesions are the clutch: where actin is linked to integrins gripping the substrate, the network cannot slide back as freely, so more of the polymerization becomes forward motion.

edge speed (relative to substrate) = polymerization speed (relative to the network) - retrograde flow speed

A worked problem

This is a one-dimensional model, and only the flow value is measured. In PtK1 cells (a rat-kangaroo epithelial line) on compliant fibronectin-coated gels, Gardel and colleagues measured distal lamellipodial actin flowing rearward at about 25 nm/s. Suppose, as an illustrative assumption, that filaments at the edge extend at 40 nm/s relative to the network, and that both rates stay constant.

  1. Edge speed. With forward positive, edge speed = 40 + (-25) = 15 nm/s.
  2. Distance in 120 s. 15 nm/s x 120 s = 1,800 nm = 1.8 µm. Check: polymerization alone gives 40 x 120 = 4,800 nm, flow takes back 25 x 120 = 3,000 nm, and 4,800 - 3,000 = 1,800 nm.
  3. Engage the clutch. Suppose a change raises adhesion engagement so rearward flow falls to 10 nm/s, with polymerization unchanged. Edge speed = 40 - 10 = 30 nm/s, and in 120 s the edge advances 30 x 120 = 3,600 nm = 3.6 µm. Cutting the flow by more than half doubled the advance.
  4. What the model leaves out. Edge advance is not movement of the cell body. Traction is not a simple function of flow either: in the PtK1 cells, traction stress and actin speed were related biphasically, switching near 8 to 10 nm/s. And adhesion cannot rise without cost, since in the CHO cells strong adhesion slowed migration because the rear could not detach.

So faster flow does not always mean more traction, and stronger adhesion does not always mean faster migration. The clutch is a starting model, not the whole story.

Lamellipodium clutch — edge speed = polymerization − flow⚙ original · interactive
Edge speed = polymerization − flow
40 − 25 = 15 nm/s
Distance in 120 s
15 × 120 = 1,800 nm = 1.8 µm
Check: forward gain − rearward loss
4,800 − 3,000 = 1,800 nm

Starting case.

Rule to keep: edge speed = polymerization speed − retrograde flow speed. One-dimensional sketch: only the 25 nm/s flow is measured (PtK1 cells); the 40 nm/s polymerization is an illustrative assumption, as are the slider ranges and any flow other than 25 nm/s (10 nm/s is the lesson’s supposed case). Stronger adhesion is not always faster movement: in PtK1 cells traction stress and actin speed were related biphasically, switching near 8 to 10 nm/s, and in CHO cells strong adhesion slowed migration because the rear could not detach. Edge advance is not movement of the cell body. Speckle positions are arbitrary, and 120 s of model time plays in 8 s, so this is a sketch of the logic.

The axoneme: sliding turned into bending

A motile cilium is built on an axoneme, a cylinder of microtubules. In the classic 9+2 pattern, nine outer doublets surround a central pair of single microtubules. Each doublet is a complete A-tubule with an incomplete B-tubule fused to it. The axoneme grows from a basal body, which anchors it in the cell.

Along each A-tubule sit two rows of axonemal dynein, the outer and inner arms. Their motor heads act on the B-tubule of the next doublet and walk toward its minus end, at the base. So each doublet pushes its neighbour toward the tip. Radial spokes reach from the doublets toward the central-pair complex. Between neighbouring doublets runs the nexin link, which cryo-electron tomography of Chlamydomonas axonemes identified as the dynein regulatory complex, hence the name nexin-dynein regulatory complex. In Chlamydomonas the whole set of arms, spokes and links repeats every 96 nm along the doublet.

Why does sliding make a bend? Hold two strips of card side by side, glued together at one end and tied loosely along their length. Push one strip toward the far end and the pair cannot slide apart, so it curves. In the axoneme the base is anchored and the links resist, so shear between doublets becomes a bend. Summers and Gibbons tested this by removing the resistance. They briefly digested sea-urchin sperm axonemes with trypsin, added ATP and watched by dark-field microscopy: the doublets slid apart. Dynein does not shorten microtubules; it slides them.

To get a wave, the arms on one side must be more active than those on the other, and the sides must take turns. Cryo-electron tomography of rapidly frozen beating sea-urchin sperm flagella found most dyneins in an active conformation, with asymmetric states across bends, which the authors suggested favours switching by inhibiting one set of motors. How the switch is signalled is still open.

Not every cilium is 9+2 or motile. Primary cilia are single, non-motile 9+0 cilia found on many vertebrate cell types; they lack dynein arms and serve as signalling antennae (see hedgehog at the primary cilium). Cilia of the mouse embryonic node are mostly 9+0, yet they move, rotating rather than waving.

When cilia fail

Each part of the axoneme predicts a phenotype. Airway cilia that do not beat cannot carry mucus up out of the lungs, as in Afzelius’s patients. Sperm whose dynein arms are missing do not swim. Nodal cilia that do not rotate cannot drive the leftward flow over the mouse node. In mice lacking the motor KIF3B the node had no cilia and organ placement was randomized, and some people with immotile cilia have mirror-image organs. This set of conditions is called primary ciliary dyskinesia. Here we stay with mechanism.

One mutation need not give one phenotype. In mice lacking Cfap53, nodal cilia were completely immotile, while tracheal and brain-ventricle cilia still beat, abnormally. The instrument matters too: in one study, conventional electron microscopy of nasal cilia from patients with DNAH11 mutations looked normal, but electron tomography found a deficit of outer-arm volume near the base.

Migration defects follow the same logic. Leukocytes that cannot make a functional integrin of the β2 family cannot grip the vessel wall firmly enough to leave the blood, and so fail to reach sites of infection.

Design problem

A Chlamydomonas mutant, or a patient’s sperm, has paralysed flagella. Design a test of whether the dynein motors themselves work.

One way to do it

Isolate axonemes, so the membrane and the cell’s own ATP supply are out of the picture. Digest briefly with trypsin to cut the links that turn sliding into bending, then add ATP (Summers and Gibbons used 0.1 mM with sea-urchin sperm axonemes) and watch by dark-field microscopy.

If doublets slide apart, the motors work. The defect then lies in regulating them or in converting sliding to bending: the radial spokes, the central pair or the nexin-dynein regulatory complex. If doublets do not slide, suspect missing or inactive dynein arms.

Confirm by electron microscopy, and by electron tomography if conventional images look normal, as they did in some DNAH11 cases.

Controls: wild-type axonemes treated the same way (sliding expected), mutant and wild-type axonemes without ATP (no sliding expected), and axonemes given ATP without trypsin (wild-type should bend or beat rather than fall apart).

How we measure it

Sliding-disintegration assay

Isolate axonemes, digest them briefly with a protease to cut the links between doublets, add ATP and watch by dark-field microscopy. If doublets slide apart, the dynein arms work; if not, the motors are missing or inactive.

Fluorescent speckle microscopy

Label a small fraction of actin so the network appears as speckles, then track the speckles over time. The result is a map of how fast and in which direction the actin network moves at each point, such as the rearward flow in a lamellipodium.

Traction-force microscopy

Grow cells on a soft gel containing fluorescent beads and measure how far the cell displaces the beads. From the displacements and the gel's stiffness you calculate the stresses the cell exerts on the substrate.

Cryo-electron tomography

Freeze cilia or flagella rapidly, tilt them in the electron microscope and reconstruct them in three dimensions; averaging the 96-nm repeat shows dynein arms, spokes and links, and their shapes in a beating flagellum.

Finish line

Test yourself

8 questions

Practice and MCAT-style, with explained answers.

Next · Lesson 17

Cell-Cycle States and Control Logic

Fuse a cell that is copying its DNA with one that has finished. Why does the finished nucleus refuse to copy again?

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