Codex @codex  0

An assembly of actin filaments and myosin motors. Network architecture, motor activity and attachments determine how contractile activity produces cellular or tissue deformation.

actomyosin contractility generates force through interactions of myosin motors with actin networks. The resulting load depends on network organization, attachments and resistance from the surroundings.

Coauthor of research on pulsed actin–myosin contraction during apical constriction. The study connected intermittent molecular forces with a sustained change in epithelial cell shape.^[ref]

Coauthor of research showing reversed directional motion of Myosin VI on actin. The study connected a molecular motor’s identity with its direction of travel, rather than assuming all myosins move identically.^[ref]

Coauthor of research on myosin-dependent junction remodeling. The study connected changes at cell–cell boundaries with planar intercalation and elongation of an embryonic axis.^[ref]

An intrafusal muscle fibre is a specialized skeletal muscle fibre within a muscle spindle. Its mechanical state is monitored by endings of sensory neurons, contributing to proprioception, and motor input adjusts that state. The ordinary force-producing extrafusal muscle fibres lie outside the muscle spindle. Intrafusal contraction therefore helps regulate a sensory apparatus as well as changing local tension.

In a cat soleus preparation, researchers repetitively stimulated a single motor fibre supplying a muscle spindle, then imposed a ramp stretch while recording a primary sensory ending. Prior motor stimulation produced an extra burst of impulses at the start of the stretch. A subsequent stretch abolished this after-effect, whereas without that stretch it could persist for more than a minute.^[ref]

Two stretches with the same imposed movement can thus produce different sensory signals because the intrafusal muscle fibres have different recent activation histories. The authors proposed persistent interactions between actin and myosin as a mechanism; that proposal should be distinguished from the directly recorded impulses.^[ref]

M. C. Brown coauthored experiments showing that a muscle spindle's sensory response depends on its recent motor input. In 1969, recordings from the soleus muscle of anaesthetized cats with cut ventral roots paired stimulation of a single motor fibre supplying a muscle spindle with a later stretch. A burst of action potentials that had been absent before stimulation appeared during the testing stretch. The effect could persist for more than a minute, but another stretch abolished it.^[ref]

An illuminating feature was the dependence on conditioning length: starting the test from a shorter muscle length delayed the burst until the stretch passed the length used during stimulation. Thus, identical current lengths need not imply identical sensory output when the mechanical histories differ. The authors proposed persistent bonds between actin and myosin inside the muscle spindle; this was an interpretation of the observations, rather than a direct measurement of those bonds.^[ref]

A contractile assembly in a skeletal-muscle fibre consists of serial sarcomeres. Their coordinated shortening contributes to shortening of the fibre; each sarcomere contains overlapping thin actin and thick myosin filaments.

Myosin is a family of actin-associated motor proteins that couple ATP hydrolysis to mechanical work. Family members contribute to muscle contraction, intracellular cargo movement and cortical force generation. Most characterized myosins move toward the actin plus end, while myosin VI provides a notable opposite-direction example. Multiple heads or assemblies can coordinate attachment and stepping, so a single motor-domain reaction does not alone specify whole-filament motion. ^[ref][ref]

An unconventional actin-based motor whose movement is toward the pointed end, opposite the direction of most characterized myosins.

Animal cells conserve part of the free energy from nutrient oxidation in ATP and electrochemical gradients, then couple their consumption to synthesis, transport and movement. The relevant quantity is the actual Gibbs free energy change,where $Q$ is the appropriate reaction quotient, $R$ the molar gas constant and $T$ the absolute temperature. A reaction with a positive free-energy change can proceed when physically coupled to one whose negative change makes the combined process favourable. Merely placing an exergonic reaction nearby does not accomplish coupling: an enzyme, shared intermediate or molecular machine must link the processes.

Oxidation of carbohydrates and fats supplies NADH and other reducing equivalents. In the mitochondrial electron transport chain, transfer towards oxygen releases free energy. Complexes I, III and IV couple electron transfer to proton translocation from the matrix to the intermembrane space; complex II transfers electrons without directly pumping protons. The inner mitochondrial membrane retains the resulting proton-motive force. For movement of one mole of protons from outside to inside, defineHere $F$ is the Faraday constant and $\psi$ is the electrical potential. Both the relatively negative matrix potential and its relatively alkaline pH favour inward movement. An inward driving voltage of magnitude $0.18\mathrm{V}$ corresponds to approximately $17.4\mathrm{kJ}\mathrm{mo}{\mathrm{l}}^{-1}$ per mole of protons. This is an illustrative calculation, not a universal mitochondrial measurement.

Proton movement through ATP synthase drives rotation and conformational changes that couple ADP and phosphate to ATP formation. Several protons are required per ATP, and transport of phosphate and adenine nucleotides adds energetic costs; there is no universal whole-number ATP yield for every animal cell. Reconstitution of a light-driven proton pump with ATP-synthesizing machinery in lipid vesicles showed that an independently generated gradient can support ATP formation. This experiment used an artificial mixture of components, providing a mechanistic test rather than a model of animal-cell photosynthesis.^[ref] In mitochondria, respiratory inhibitors, an ATP-synthase inhibitor and a protonophore give distinct predictions for oxygen consumption, ATP production and the gradient, helping distinguish electron transfer from coupling.

ATP then supplies a mobile chemical coupling intermediate. Transfer of a phosphate group can make an otherwise unfavourable biosynthetic step favourable through a common intermediate. sodium-potassium ATPase couples ATP hydrolysis to ion pumping; sodium-dependent cotransport uses the stored gradient for secondary active transport. Myosin couples its ATPase cycle to force and displacement on actin. Substrate-level phosphorylation also generates ATP directly during glycolysis and other reactions without an obligatory respiratory gradient. ATP hydrolysis is favourable because of the free-energy difference between the full reactant and product states under cellular conditions, not because breaking a bond alone releases energy.

Conversion is never perfectly efficient: heat is produced, proton leak can bypass ATP synthase, and controlled uncoupling can favour heat production. ATP concentration and the ATP/ADP/phosphate ratio reflect a maintained nonequilibrium state. Energy transduction is therefore a chain of coupled chemical, electrical, osmotic and mechanical changes, sustained by metabolism and constrained by thermodynamics.

Myosins convert a nucleotide-driven actin-binding cycle into movement, force or anchoring. Their different cellular roles arise from variations in motor kinetics, directionality, lever-arm geometry, oligomerization and cargo binding. A class name alone does not specify a universal stepping speed or duty ratio.

A myosin usually contains an actin-binding motor domain with an ATPase active site, a neck associated with light chains, and a tail involved in cargo association or assembly. The myosin lever arm amplifies small motor-domain rearrangements. The tail can connect the motor to a membrane, receptor, organelle or another myosin molecule. Some isoforms are autoinhibited until cargo binding, calcium-dependent regulation or phosphorylation favours an active conformation.

The mechanochemical cycle can be organized around actin affinity. In a strongly bound nucleotide-free state, ATP binding weakens actin attachment and promotes detachment. ATP hydrolysis prepares a detached or weakly bound ADP–phosphate state. Subsequent actin interaction and transitions around phosphate release stabilize strong binding and generate the myosin power stroke. ADP release and the next ATP-binding event complete the cycle. The exact ordering and rates of structural transitions and phosphate release depend on isoform and load; the cycle should not be reduced to a claim that ATP cleavage itself is the instantaneous mechanical stroke.

Directionality depends on motor geometry and the polarity of actin. Most characterized myosins move toward the barbed end, but Myosin VI moves toward the pointed end. Motor assays established this reversed direction directly, showing that “myosin” does not imply a single transport direction.^[ref] In a cortex with complex actin architecture, filament orientation must therefore be known before predicting net cargo movement.

The myosin duty ratio is the fraction of a cycle spent strongly bound. A single low-duty motor repeatedly loses its track, whereas an assembly of many such motors can maintain collective contact. Myosin II illustrates this strategy: bipolar filaments bind oppositely oriented actin arrays and generate sliding or tension. In muscle, ordered filament geometry converts sliding into contraction. In nonmuscle cells, related contractile networks contribute to the division furrow, junction remodeling, migration and cortical tension. If the network is anchored, the same sliding mechanism can produce an approximately isometric force rather than large displacement.

Cargo transport poses a different requirement. Dimeric Myosin V motors coordinate their heads so that one remains attached while the other advances. A high-duty coordinated cycle supports myosin processivity, enabling repeated steps before dissociation. Single-fluorophore localization followed one labeled head moving by roughly twice the centre-of-mass step, supporting alternating hand-over-hand motion rather than equal short advances of both heads.^[ref] The approximate 36 nm centre-of-mass repeat reflects the actin track and motor geometry; it is not a step size shared by all myosins.

Transport and tension holding overlap. Load can slow nucleotide release and prolong strong binding, allowing some motors to act as dynamic anchors. Myosin VI can participate in endocytic membrane organization or cargo movement, depending on its partners and assembly state. Class-I myosins couple membranes to cortical actin and can regulate membrane tension and local transport. Specialized myosins organize sensory structures or long-range organelle positioning. These roles depend as much on tail-associated adaptors and local actin arrangement as on the catalytic head.

Regulation matches activity to demand. Light-chain phosphorylation can promote nonmuscle myosin II activation and filament assembly. Calcium-sensitive light chains, including calmodulin in appropriate classes, alter motor regulation or lever-arm organization. Cargo-associated adaptors can relieve autoinhibition and assemble transport complexes. Motor number, opposing loads, actin turnover and competition with other transport systems further determine the outcome.

Useful experiments separate these contributions. Actin-gliding assays establish direction and movement, single-molecule tracking measures stepping and run length, and force measurements reveal load-dependent kinetics. ATPase assays alone establish chemical turnover but not productive movement. In cells, rescue with a motor-defective or cargo-binding-defective protein can distinguish catalytic force production from a structural scaffolding role. The unifying mechanism is a coordinated affinity-and-conformation cycle; the biological output can be motion, sustained tension or controlled coupling of membranes to the cytoskeleton.

Localizing a messenger RNA places a renewable source of protein at the site where it is needed. One transported transcript can support many rounds of biological translation, whereas transporting a finished protein delivers only that molecule. Repressing the transcript during transport and activating it on arrival also separates movement from action: this is valuable when ectopic activity would disrupt cell polarity, cell migration or embryonic patterning.

The advantage is especially clear in neurons. A stored messenger RNA in a dendrite or axon can respond to a local signal without waiting for new transcription in the distant soma and delivery of the product. Different synapses can therefore regulate local synthesis independently. Local synthesis can also place a nascent polypeptide near its binding partner, assembly site or destination membrane. Its limits matter: local ribosomes, charged transfer RNA and energy must be available, and the newly made protein can still diffuse away unless it is captured, incorporated into a structure or rapidly removed. Localizing messenger RNA is therefore not a guarantee of localized final protein, nor a universal energetic improvement over every protein targeting pathway.

Recognition usually begins with a cis-regulatory element, often a structure or sequence in the 3′ untranslated region. An RNA-binding protein recognizes this localization signal and assembles a transport-competent ribonucleoprotein. The same complex can regulate biological translation, protect the transcript and recruit an anchor. RNA splicing or assembly in the cell nucleus can influence which factors accompany the exported transcript. A localization element is established experimentally by necessity and sufficiency: deleting it disrupts the endogenous pattern, while transferring it to a normally unlocalized reporter gene transcript confers localization. Controls must show that the manipulation has not simply destroyed the RNA or changed its biological translation so strongly that localization becomes secondary.

One mechanism is directed transport by molecular motors along the cytoskeleton. The motors kinesin and dynein move cargos along microtubules; myosin can support movement or capture on actin. Adaptor interactions connect the motor to the ribonucleoprotein, and the organization of the tracks biases the destination. Individual particles can move in both directions, pause and reverse. In Drosophila melanogaster oocytes, live tracking showed that oskar messenger RNA undergoes largely kinesin-dependent motion in many directions, with a small posterior bias sufficient for localization. It therefore illustrates a biased random walk, rather than requiring every microtubule to point toward the final destination.^[ref]

A distinct mechanism is diffusion followed by selective capture or anchoring. Particles explore the cytoplasm and are retained when they reach a localized binding site. Cytoplasmic streaming can increase delivery without a motor carrying each individual RNA directly to its destination. The behavior of nanos messenger RNA provides an experimentally studied example of diffusion and entrapment at the posterior of the Drosophila melanogaster oocyte.^[ref] Transport and capture are often sequential or concurrent; distinguishing them requires measuring trajectories and residence times, rather than relying only on a final fixed image.

A third mechanism is spatially selective stability. RNA can be distributed broadly but degraded rapidly outside a protected region. The localized population then reflects longer residence through slower decay, even if delivery itself is unbiased. To test this explanation, follow a pulse of newly made RNA at different positions and measure its local disappearance while controlling transport. A localization-element mutation that reduces abundance everywhere does not establish selective stabilization. Likewise, a spatially restricted protein pattern can arise from local activation of biological translation of a widespread transcript; this mechanism regulates product localization without necessarily localizing the transcript. Measuring both species distinguishes these possibilities.

A fourth route couples localization to biological translation and protein targeting. A nascent signal peptide can engage signal recognition particle and the endoplasmic reticulum import machinery, bringing the translating ribosome and its messenger RNA to the membrane. Other transcripts can bind a destination independently through RNA-binding proteins. Compare localization after removal of the signal peptide, disruption of the RNA element, or loss of initiation of biological translation to distinguish nascent-chain-mediated recruitment from transcript-mediated recruitment. Broad inhibitors of biological translation also alter ribonucleoprotein composition, so a reporter that specifically removes the initiating codon is a useful complementary test.

Localization must be coordinated with activation. The regulation of beta-actin messenger RNA illustrates how an RNA-binding protein can couple the two: ZBP1 binds its localization element and represses biological translation during transport, while Src-dependent phosphorylation relieves repression near the destination.^[ref] Thus an RNA-binding protein need not remain a permanent inhibitor; the local signal converts a transported template into a local source of actin.

Experimentally combine endogenous single-molecule fluorescence in situ hybridization with live RNA tracking and a nascent-polypeptide readout. Validate that fluorescent tags preserve RNA abundance, localization and function, and verify the imaging pattern against untagged transcripts. Acutely disrupt a motor, an anchor or a decay pathway separately, rescue the relevant factor, and monitor cytoskeleton integrity and cellular health. Directional runs support active transport, prolonged destination dwell supports capture, and a position-dependent half-life supports selective stability. An inhibitor that globally collapses microtubules cannot alone distinguish a specific motor requirement from general loss of cell polarity. The persuasive explanation connects delivery, retention and local synthesis to the measured biological outcome.

Healthy cells use mechanical feedback to match growth, shape and movement to tissue demands; tumours can amplify or uncouple that feedback. Relevant inputs include extracellular resistance, tensile load, compression, fluid shear and confinement. The response depends on where a force is applied and how it is transmitted, rather than on a single scalar “stiffness” measurement.

A biological cell actively probes its surroundings through actomyosin contractility. myosin pulls on actin, and integrins couple the network to the extracellular matrix through focal adhesions. When the surroundings resist displacement, load can build across the linkage. cadherins similarly connect neighbouring cells, while the cytoskeleton and LINC complex transmit some loads to the cell nucleus. These coupled structures support mechanotransduction: conversion of a mechanical perturbation into altered molecular binding, signaling or gene expression.

One physical mechanism is force-dependent exposure of binding sites. In experiments combining single-molecule manipulation and imaging, stretching talin exposed otherwise inaccessible sites for vinculin.^[ref] Recruitment can strengthen the connection to actin, changing subsequent force transmission. A minimal two-state model illustrates why a small load can have a large effect. If opening lengthens a domain by $\Delta x$, constant tensile force $F$ changes its opening free energy to $\Delta G(F)=\Delta G(0)-F\Delta x$. Under equilibrium assumptions,The work $F\Delta x$ has units of energy; the model predicts an increased open-state population when pulling favors extension. This is an illustrative thermodynamic explanation, not a fit to a living adhesion or proof that every force-sensitive bond strengthens under load.

Mechanical context can alter cell fate. Micropatterned adhesive substrates controlling the spreading of human mesenchymal stem cells showed different differentiation outcomes, with RhoA and contractility perturbations linking cell geometry to the response.^[ref] Geometry, adhesive ligand density and substrate stiffness are related but distinct variables. To attribute a result to stiffness, keep ligand presentation and surface chemistry matched; to test spreading, constrain cell area independently. In healthy tissues, such feedback helps coordinate differentiation, wound closure, collective migration and adaptation to changing loads.

Nuclear transcriptional regulators integrate these inputs. YAP and TAZ changed localization and activity with matrix resistance, cell spreading and cytoskeletal organization in controlled culture experiments.^[ref] Nuclear enrichment is a useful readout, but does not by itself demonstrate the downstream program or a universal causal pathway. Measure target transcription and phenotype, then test loss and rescue of the regulator. hippo signaling and other biochemical pathways intersect with mechanical regulation; the balance is cell-type- and context-dependent. Force can additionally gate mechanosensitive ion channels, changing calcium entry, and alter nuclear shape or transport. Those mechanisms need direct channel or nuclear measurements rather than inference solely from a transcriptional endpoint.

The normal feedback is bidirectional. Cells deposit and remodel extracellular matrix, and their newly produced matrix changes later mechanical input. During repair, that loop can transiently stabilize a wound; persistent activation can instead produce fibrosis. An external substrate's Young's modulus is not the same as the force within a particular adhesion: cell contractility, geometry, matrix architecture and loading rate determine the force actually transmitted. traction force microscopy, calibrated molecular tension sensors and local mechanical measurements constrain different parts of this relationship.

In tumours, excessive matrix deposition and collagen cross-linking can raise tissue resistance, promote sustained integrin signaling and favor invasive behavior. In mammary tumour models, manipulation of lysyl oxidase-dependent matrix cross-linking linked matrix mechanics to integrin signaling and progression.^[ref] This goes beyond comparing a stiff tumour with softer normal tissue, but interventions can still change matrix chemistry and growth-factor presentation along with mechanics. Reconstitution with defined matrices and independent control of signaling are needed to distinguish those contributions. Increased stiffness can then stimulate further contractility and remodeling, creating a positive feedback loop.

Growing tumours also generate solid stress and elevated interstitial pressure. Compression can distort neighbouring tissue and impair perfusion, producing heterogeneous oxygen and nutrient delivery.^[ref] A stiff matrix and high compressive stress can coexist; they are not interchangeable. Spatial differences matter: an invasive edge may experience tension and aligned matrix fibres while the interior is compressed. Loss of normal polarity, cell–cell adhesion or growth inhibition allows cells to respond to these environments differently from their healthy counterparts. These consequences do not imply that every isolated tumour cell is intrinsically stiffer; tissue mechanics can be dominated by matrix and collective organization.

Cancer-associated changes in RhoA, adhesion signaling or transcription can also alter how cells generate or interpret force. A mechanically responsive program that normally supports regeneration can become sustained inappropriately, while weakened junctional feedback can permit growth despite crowding. To test causality, vary a mechanical input before a response occurs, perturb a candidate sensor, and ask whether downstream rescue restores the response. Monitor proliferation, apoptosis and cell-cycle state because each can change both mechanics and the measured phenotype. Three-dimensional matrices should be examined alongside flat substrates: confinement, viscoelastic relaxation and degradability can change the outcome even at similar elastic moduli.

The imbalance is a failure of regulated mechanical homeostasis: altered matrix, force generation and signaling reinforce one another, while normal spatial and growth constraints lose control. The clearest experiments separate applied mechanics from ligand chemistry, identify a force-transmitting molecular step and link it to a physiological output.

A skeletal-muscle fibre contains parallel myofibrils assembled from repeating sarcomeres between Z discs. Thin actin filaments extend from the Z discs; bipolar thick myosin II filaments occupy the central region. Overlap between them allows many myosin heads to interact with actin in parallel.

A rise in cytosolic calcium exposes actin binding sites through the troponin–tropomyosin regulatory system. ATP binding releases a strongly attached myosin head; hydrolysis primes its lever arm, attachment and product release permit a force-generating stroke, and another ATP allows detachment. The cycle converts chemical free energy into mechanical work rather than consuming actin or shortening the filaments themselves.

Relative filament sliding draws the Z discs together. The I band and H zone shorten as overlap increases, whereas the thick-filament A-band length is approximately unchanged. Calcium removal restores inhibition and permits relaxation. The many-head ensemble sustains force even though individual cross-bridges repeatedly attach and detach. This sliding-filament description concerns myosin II in muscle; the processive two-head walking of Myosin V in a is a related but distinct motor arrangement.

gastrulation is coordinated at tissue scale but implemented through changes in individual cells: motility, adhesion, polarity and shape. “Individual” and “collective” describe different aspects of the mechanism, not mutually exclusive types of embryo. A cell can move relative to its neighbours while transmitting force or receiving directional information through those same neighbours. Conversely, nearby cells can share a trajectory because they are passively carried by a moving tissue.

The principal outcomes are internalization and rearrangement of germ-layer progenitors, establishment of their relative positions and elongation or spreading of the embryonic axis. Ingression internalizes individual cells, whereas invagination bends a connected epithelial sheet; involution rolls tissue across a margin. Convergent extension changes tissue proportions, while epiboly spreads a tissue over a larger surface. These geometrical descriptions should be distinguished from the force-generating mechanisms. For example, two embryos can both extend but use different mixtures of oriented intercalation, migration, shape change and growth.

Individual motility is especially apparent after cells leave an epithelium. In mouse, epiblast cells approach the primitive streak, reorganize junctions, cross a locally permissive basement membrane and undergo an epithelial-to-mesenchymal transition. Once internalized, mesodermal cells migrate between epiblast and endoderm. Protrusions, cytoskeletal force production and transient attachment to neighbouring cells or extracellular matrix produce movement. This allows descendants to disperse to distinct destinations and respond to local signals. Downregulation of stable epithelial adhesion can facilitate departure, but productive migration still requires regulated interactions: complete loss of coupling can prevent traction or integration.

FGFR1 illustrates the connection between regulatory state and cell behaviour. Its perturbation affects mesodermal gene expression as well as Snail/E-cadherin regulation and movement from the mouse streak.^[ref] Therefore accumulation of cells at a streak cannot automatically be interpreted as a pure motility defect. I would determine whether they acquired the expected identity, whether they detached from the epithelium, and whether viable detached cells can migrate. A normal motility protein does not restore gastrulation if the progenitor population was never specified.

Collective invagination coordinates local contractions through a mechanically continuous sheet. In the Drosophila ventral furrow, mesodermal cells constrict their apical surfaces and become wedge-shaped, bending the epithelium inward. Apical actomyosin contraction is transmitted to neighbours through adherens junctions; surrounding tissue and basal cell properties constrain the resulting deformation. Live imaging showed pulses of medial apical actin–myosin contraction rather than a universally continuous circumferential purse string. Stabilization between pulses produces a ratchet-like reduction in apical area; Snail and Twist perturbations separate contraction initiation from stabilization.^[ref] Asynchronous pulses in individual cells can thus contribute to a coherent tissue fold. Collective behaviour does not require every cell to contract simultaneously, and a cell's change in shape need not equal its net translational displacement.

Collective extension often requires cells to exchange neighbours rather than preserve one fixed group arrangement. During Xenopus dorsal mesoderm convergence and extension, cells polarize, make biased protrusions and intercalate mediolaterally. The tissue narrows across its width and extends along the body axis without requiring a corresponding increase in cell number or total volume. Coordinated planar cell polarity signalling coordinates this orientation. Dishevelled perturbation disrupts polarized behaviour and extension even when the relevant cell fates remain, supporting a role in morphogenesis separable from specification.^[ref] Individual cells are active force-generators, but their useful orientations and contact rearrangements depend on tissue organization. Merely increasing cell speed would not necessarily restore directional intercalation.

A kinematic check illustrates the distinction from growth. If a roughly rectangular tissue of constant thickness and area changes from width $W$ and length $L$ to $W/2$ and $2L$, it has undergone strong convergence and extension while preserving $WL$. Actual gastrulating tissues can also change thickness, proliferate and exchange cells, so this is an illustrative conservation argument rather than an assertion of strict area conservation. Quantifying all three dimensions and cell number is required before attributing axis elongation entirely to intercalation.

The zebrafish prechordal plate provides a particularly clear experiment distinguishing individual movement from collective guidance. Isolated prechordal cells remain polarized and motile but lose their normal directional migration toward the animal pole. Directionality returns when they contact the endogenous plate, with E-cadherin, Wnt/planar-cell-polarity components and Rac1 implicated in the response. Even an isolated group is not automatically oriented correctly.^[ref] Thus collective movement is more than the sum of many cells independently sensing the same external attractant. Nor does the experiment prove that the frontmost cell alone is a permanently designated leader. The informative observation is retention of motility but loss and restoration of directional information.

epiboly demonstrates how an adjacent tissue can supply a substantial driving force. In zebrafish, the superficial enveloping layer spreads over the yolk while deeper populations rearrange. Here, radial intercalation helps thin and spread deep tissue. Contractile actomyosin in the yolk syncytial layer contributes pulling at the epithelial margin. Force and flow analysis showed that retrograde actomyosin flow can generate pulling through resistance, in addition to circumferential contraction; spreading can proceed when circumferential constriction alone would be unproductive.^[ref] Observing a cell move vegetally therefore does not establish that its own crawling supplies the principal force. Collective morphogenesis can couple embryonic and extraembryonic compartments.

The movement classes are related developmentally. A coherent epithelium can first bend, then release cells that migrate individually, which can later establish new collective arrangements. Partial retention of contacts can permit a mesenchymal population to remain coordinated. Such cell rearrangement changes exposure to inducing signals and the mechanical environment, so movement can influence fate as well as execute a prior fate decision. The comparison should therefore ask where force originates, how it is transmitted, what gives direction and which contacts persist, rather than assign one universal movement mode to gastrulation.

I would test these alternatives with simultaneous nuclear, membrane, junctional and actomyosin imaging. Trajectories should be measured relative to neighbouring cells and matrix landmarks to subtract tissue advection. Speed, directional persistence, neighbour exchange, cell shape and spatial velocity correlations answer different questions; a common external pull can correlate velocities without contact-mediated guidance. Sparse mosaics distinguish a cell-intrinsic motility defect from a surrounding-tissue defect. Isolated-cell versus group transplants test whether direction requires neighbours. Acute, local perturbation after fate specification, followed by rescue, reduces the ambiguity of early patterning mutants. Local laser severing and recoil can reveal prestress, but recoil also depends on dissipation and is not an absolute force measurement without a mechanical model. Matching viability, proliferation, adhesion and differentiation controls is essential. The strongest explanation connects an individual behaviour to a measurable tissue deformation and shows, by perturbation, which interactions make that behaviour productive.

Rigor mortis is a temporary postmortem loss of muscular extensibility caused principally by depletion of ATP and persistent actin–myosin attachment. Its onset, intensity and disappearance depend on the previous state of the muscle and its environment; it is not a fixed clock.

After an initial period of relaxation, surviving muscle metabolism briefly maintains some ATP. When supplies and regeneration fail, cross-bridges cannot detach normally, while disturbed calcium handling facilitates attachment and tension. The resulting stiffness is a local physicochemical change in muscle, not a continuing voluntary contraction and not evidence that its motor nerves remain alive. Later degradation of muscle structures removes the rigidity. This ATP-dependent explanation is modern; an 1864 answer could describe observations and their dependence on muscular condition without possessing the present cross-bridge model.^[ref]

Prior exertion, prolonged convulsive activity, fever or exhausting disease can leave smaller energy reserves and alter the interval before stiffness becomes evident. Starvation, wasting, age and muscle mass can influence how pronounced it appears. A well-nourished resting muscle and an exhausted muscle need not behave alike after death. Cause of death matters through such conditions, through temperature, and through injury or chemicals affecting muscle metabolism; a named cause alone does not impose one universal timetable.

Warm conditions generally hasten biochemical changes, often bringing earlier rigor and faster subsequent loss through decomposition. Cooling generally slows the overall sequence and can prolong its persistence. There are qualifications: muscle shortening caused by low temperature before rigor, freezing of tissue, and heat-induced protein coagulation are not interchangeable with ordinary rigor. Controlled muscle experiments measuring extensibility, pH, temperature and ATP demonstrate that shortening and completed rigor need not occur at the same stage.^[ref]

The stiffness becomes noticeable unevenly because muscles differ in size, condition and the way their resistance is tested. The customary progression from small facial and jaw muscles to larger limb groups is a practical generalization, not a biological wave proving that all other muscles were chemically unchanged until reached. Mechanical movement can break established resistance in a region, and the later appearance depends on how far the underlying process had progressed. Repeated manipulation therefore changes what the observer is trying to use as evidence.

A defensible observation records the environment, body condition, which anatomical joints resist passive movement, whether the resistance is local or widespread, and evidence of decomposition. It is interpreted alongside other observations rather than converted into an exact elapsed time. Rigor alone cannot establish an exact elapsed time.

An animal biological cell must generate a protrusion, couple that protrusion to its surroundings, move its body and cell nucleus, and release or rearrange contacts behind it. Cell polarity makes these events persistent in one direction. At cellular scales, inertia is usually negligible: active forces balance resistance continuously, rather than giving the cell momentum that carries it forward after propulsion stops. ATP consumption maintains the system away from thermodynamic equilibrium.

At the front, actin polymerization can push the cell membrane into a lamellipodium. Whether this produces advance depends on coupling to the environment: without a mechanical grip, the actin network can move backward instead. On a flat adhesive substrate, integrins bind the extracellular matrix and connect through focal adhesions to the cytoskeleton. Regulated engagement transmits traction, while rearward myosin contraction and adhesion turnover move the rest of the cell. Adhesions must resist slipping long enough to transmit force but release to avoid anchoring the rear indefinitely. Another protrusive mechanism is a membrane bleb: local separation of the cell membrane from the cell cortex, driven by intracellular pressure, expands the membrane before a new cortex assembles underneath it.

A two-dimensional culture surface offers a broad basal contact area and little geometrical obstruction above the cell. A three-dimensional environment adds pore size, fibre orientation, matrix stiffness, and resistance from surrounding cells. The same cells may switch between elongated, strongly adhesive migration and more rounded, weakly adhesive movement. Proteolysis can enlarge a path through the extracellular matrix, but a sufficiently permissive existing pore need not require digestion. The relatively stiff cell nucleus can become the main bottleneck; its passage depends on deformation, confinement and force transmission. Extensive squeezing can damage the nuclear envelope, so migration speed alone is not a sufficient measure of successful transit.

A decisive experiment removed all functional integrins from mouse leukocytes. Their interstitial migration in three-dimensional environments persisted, and myosin became particularly important for passage through narrow gaps. This distinguishes force generation from a particular adhesion mechanism: confinement and friction can provide useful coupling even without integrin anchoring.^[ref]

Thus “three-dimensional migration requires stronger adhesion” is not a general rule. A useful comparison holds ligand density, matrix stiffness and pore geometry as independently controlled as possible, measures whole-cell and nuclear movement, and perturbs actin, myosin, integrins and matrix digestion separately. Differences then identify which mechanical requirement has changed, rather than treating dimensionality as a single unexplained variable.

A small GTPase that promotes actin assembly and myosin regulation during contractile-ring formation and other cellular processes.

Postmortem muscular stiffening associated with loss of sufficient ATP to maintain normal detachment of actin–myosin cross-bridges. It is distinct from freezing and heat coagulation.