Collective cell migration describes the movements of group of cells and the

emergence In philosophy, systems theory, science, and art, emergence occurs when an entity is observed to have properties its parts do not have on their own, properties or behaviors that emerge only when the parts interact in a wider whole. Emergenc ...

of collective behavior from cell-environment interactions and cell-cell communication. Collective cell migration is an essential process in the lives of

multicellular organisms A multicellular organism is an organism that consists of more than one cell, in contrast to unicellular organism. All species of animals, land plants and most fungi are multicellular, as are many algae, whereas a few organisms are partially uni ...

, e.g.

embryonic development An embryo is an initial stage of development of a multicellular organism. In organisms that reproduce sexually, embryonic development is the part of the life cycle that begins just after fertilization of the female egg cell by the male sperm ...

wound healing Wound healing refers to a living organism's replacement of destroyed or damaged tissue by newly produced tissue. In undamaged skin, the epidermis (surface, epithelial layer) and dermis (deeper, connective layer) form a protective barrier again ...

and cancer spreading (

metastasis Metastasis is a pathogenic agent's spread from an initial or primary site to a different or secondary site within the host's body; the term is typically used when referring to metastasis by a cancerous tumor. The newly pathological sites, the ...

). Cells can migrate as a cohesive group (e.g.

epithelial cells Epithelium or epithelial tissue is one of the four basic types of animal tissue, along with connective tissue, muscle tissue and nervous tissue. It is a thin, continuous, protective layer of compactly packed cells with a little intercellu ...

) or have transient cell-cell adhesion sites (e.g.

mesenchymal Mesenchyme () is a type of loosely organized animal embryonic connective tissue of undifferentiated cells that give rise to most tissues, such as skin, blood or bone. The interactions between mesenchyme and epithelium help to form nearly every ...

cells). They can also migrate in different modes like sheets, strands, tubes, and clusters. While single-cell migration has been extensively studied, collective cell migration is a relatively new field with applications in preventing birth defects or dysfunction of embryos. It may improve cancer treatment by enabling doctors to prevent tumors from spreading and forming new tumors.

Cell-environment interactions

The environment of the migrating cell can affect its speed, persistence and direction of migration by stimulating it. The

extracellular matrix In biology, the extracellular matrix (ECM), also called intercellular matrix, is a three-dimensional network consisting of extracellular macromolecules and minerals, such as collagen, enzymes, glycoproteins and hydroxyapatite that provide s ...

(ECM) provides not only the structural and biochemical support, but also plays a major role in regulating cell behavior. Different ECM proteins (such as

collagen Collagen () is the main structural protein in the extracellular matrix found in the body's various connective tissues. As the main component of connective tissue, it is the most abundant protein in mammals, making up from 25% to 35% of the whol ...

elastin Elastin is a protein that in humans is encoded by the ''ELN'' gene. Elastin is a key component of the extracellular matrix in gnathostomes (jawed vertebrates). It is highly elastic and present in connective tissue allowing many tissues in the bo ...

fibronectin Fibronectin is a high- molecular weight (~500-~600 kDa) glycoprotein of the extracellular matrix that binds to membrane-spanning receptor proteins called integrins. Fibronectin also binds to other extracellular matrix proteins such as coll ...

laminin Laminins are a family of glycoproteins of the extracellular matrix of all animals. They are major components of the basal lamina (one of the layers of the basement membrane), the protein network foundation for most cells and organs. The laminins ...

, and others) allow cells to adhere and migrate, while forming focal adhesions in the front and disassembling them in the back. Using these adhesion sites, cells also sense the mechanical properties of the ECM. Cells can be guided by a gradient of those proteins ( haptotaxis) or a gradient of soluble substrates in the liquid phase surrounding the cell (

chemotaxis Chemotaxis (from '' chemo-'' + '' taxis'') is the movement of an organism or entity in response to a chemical stimulus. Somatic cells, bacteria, and other single-cell or multicellular organisms direct their movements according to certain chemica ...

). Cells sense the substrate through their

receptor Receptor may refer to: *Sensory receptor, in physiology, any structure which, on receiving environmental stimuli, produces an informative nerve impulse *Receptor (biochemistry), in biochemistry, a protein molecule that receives and responds to a n ...

s and migrate toward the concentration (or the opposite direction). Another form of stimulation can be rigidity gradients of the ECM (

durotaxis Durotaxis is a form of cell migration in which cells are guided by rigidity gradients, which arise from differential structural properties of the extracellular matrix (ECM). Most normal cells migrate up rigidity gradients (in the direction of gre ...

Confinement

Collective cell migration is enhanced by geometrical confinement of an

molecule A molecule is a group of two or more atoms held together by attractive forces known as chemical bonds; depending on context, the term may or may not include ions which satisfy this criterion. In quantum physics, organic chemistry, and b ...

(e.g. the

proteoglycan Proteoglycans are proteins that are heavily glycosylated. The basic proteoglycan unit consists of a "core protein" with one or more covalently attached glycosaminoglycan (GAG) chain(s). The point of attachment is a serine (Ser) residue to whic ...

versican in

neural crest Neural crest cells are a temporary group of cells unique to vertebrates that arise from the embryonic ectoderm germ layer, and in turn give rise to a diverse cell lineage—including melanocytes, craniofacial cartilage and bone, smooth muscle, per ...

cells), that acts as a barrier, to promote the

of organized migration in separated streams. Confinement is also observed

in vivo Studies that are ''in vivo'' (Latin for "within the living"; often not italicized in English) are those in which the effects of various biological entities are tested on whole, living organisms or cells, usually animals, including humans, and p ...

, where the optimal width is a function of the number of migrating cells in different streams of different

species In biology, a species is the basic unit of classification and a taxonomic rank of an organism, as well as a unit of biodiversity. A species is often defined as the largest group of organisms in which any two individuals of the appropriat ...

Cell-cell communication

Migrating isolated cell responds to cues in its environment and changes its behavior accordingly. As cell-cell communication does not play a major role in this case, similar trajectories are observed in different isolated cells. However, when the cell migrates as part of the collective, it not only responds to its environment but also interacts with other cells through soluble substrates and physical contact. These cell-cell communication mechanisms are the main reasons for the difference between efficient migration of the collective and

random walk In mathematics, a random walk is a random process that describes a path that consists of a succession of random steps on some mathematical space. An elementary example of a random walk is the random walk on the integer number line \mathbb Z ...

movements of the isolated cell. Cell-cell communication mechanisms are widely studied experimentally (

and

in vitro ''In vitro'' (meaning in glass, or ''in the glass'') studies are performed with microorganisms, cells, or biological molecules outside their normal biological context. Colloquially called " test-tube experiments", these studies in biology a ...

), and computationally (

in silico In biology and other experimental sciences, an ''in silico'' experiment is one performed on computer or via computer simulation. The phrase is pseudo-Latin for 'in silicon' (correct la, in silicio), referring to silicon in computer chips. It ...

Co-attraction

Co-attraction between collectively migrating cells is the process by which cells of the same type secrete chemo-attractant (e.g. C3a in neural crest cells), that stimulates other cells in the group that have the

s to that chemo-attractant. Cells sense the secreted substrate and respond to the stimulation by moving towards each other's and maintain high cell density.

Contact inhibition of locomotion

Contact inhibition of locomotion (CIL) is a process in which the cell changes its direction of movement after colliding into another cell. Those cells could be of the same cell type or different types. The contacts ( cell-junctions) are created by

transmembrane A transmembrane protein (TP) is a type of integral membrane protein that spans the entirety of the cell membrane. Many transmembrane proteins function as gateways to permit the transport of specific substances across the membrane. They frequent ...

glycoprotein Glycoproteins are proteins which contain oligosaccharide chains covalently attached to amino acid side-chains. The carbohydrate is attached to the protein in a cotranslational or posttranslational modification. This process is known as glyco ...

s named

cadherin Cadherins (named for "calcium-dependent adhesion") are a type of cell adhesion molecule (CAM) that is important in the formation of adherens junctions to allow cells to adhere to each other . Cadherins are a class of type-1 transmembrane proteins, ...

s (

E-cadherin Cadherin-1 or Epithelial cadherin (E-cadherin), (not to be confused with the APC/C activator protein CDH1) is a protein that in humans is encoded by the ''CDH1'' gene. Mutations are correlated with gastric, breast, colorectal, thyroid, and ovari ...

N-cadherin Cadherin-2 also known as Neural cadherin (N-cadherin), is a protein that in humans is encoded by the ''CDH2'' gene. CDH2 has also been designated as CD325 (cluster of differentiation 325). Cadherin-2 is a transmembrane protein expressed in multip ...

or cadherin 11) and other

protein Proteins are large biomolecules and macromolecules that comprise one or more long chains of amino acid residues. Proteins perform a vast array of functions within organisms, including catalysing metabolic reactions, DNA replication, res ...

s. After cell-cell contact, the protrusions of cells in the contact direction are inhibited. In the CIL process, cells migrate away from each other by repolarizing in the new direction, so that new protrusions are formed in the front while contractions pull the back from contact. * Contact inhibition of proliferation (CIP) is the inhibition of cell division with increasing percent of confluency. CIP and CIL are two different processes, which are sometimes mistakenly interrelated.

Examples of studied systems

Models for studying collective cell migration

Collective cell migration is studied over many model species.

Border cells The border cells are a cluster of 6-8 cells that migrate in the ovariole of the fruit-fly ''Drosophila melanogaster,'' during the process of oogenesis. A fly ovary consists of a string of ovarioles or egg chambers arranged in an increasing order ...

in flies (''

Drosophila melanogaster ''Drosophila melanogaster'' is a species of fly (the taxonomic order Diptera) in the family Drosophilidae. The species is often referred to as the fruit fly or lesser fruit fly, or less commonly the " vinegar fly" or "pomace fly". Starting with ...

''): the border cells migrate during the differentiation of egg cells to be ready for fertilization. The

lateral line The lateral line, also called the lateral line organ (LLO), is a system of sensory organs found in fish, used to detect movement, vibration, and pressure gradients in the surrounding water. The sensory ability is achieved via modified epithelial ...

zebrafish The zebrafish (''Danio rerio'') is a freshwater fish belonging to the minnow family (Cyprinidae) of the order Cypriniformes. Native to South Asia, it is a popular aquarium fish, frequently sold under the trade name zebra danio (and thus often ca ...

: collective cell migration from head to tails is essential to the development of the sensory system of the fish. The sensors of the lateral line measure the flow over the body-surface of the fish.

Wound healing Wound healing refers to a living organism's replacement of destroyed or damaged tissue by newly produced tissue. In undamaged skin, the epidermis (surface, epithelial layer) and dermis (deeper, connective layer) form a protective barrier again ...

: collective cell migration is an essential part in this healing process, wound area is closed by the migrating cells. Wound healing is commonly studied in vitro using cell lines such as

Madin-Darby Canine Kidney cells Madin-Darby canine kidney (MDCK) cells are a model mammalian cell line used in biomedical research. MDCK cells are used for a wide variety of cell biology studies including cell polarity, cell-cell adhesions (termed adherens junctions), collective ...

Neural crest Neural crest cells are a temporary group of cells unique to vertebrates that arise from the embryonic ectoderm germ layer, and in turn give rise to a diverse cell lineage—including melanocytes, craniofacial cartilage and bone, smooth muscle, per ...

cells in

mice A mouse ( : mice) is a small rodent. Characteristically, mice are known to have a pointed snout, small rounded ears, a body-length scaly tail, and a high breeding rate. The best known mouse species is the common house mouse (''Mus musculus'' ...

, Leghorn chicks,

amphibian Amphibians are four-limbed and ectothermic vertebrates of the class Amphibia. All living amphibians belong to the group Lissamphibia. They inhabit a wide variety of habitats, with most species living within terrestrial, fossorial, arbo ...

s (''

Xenopus laevis The African clawed frog (''Xenopus laevis'', also known as the xenopus, African clawed toad, African claw-toed frog or the ''platanna'') is a species of African aquatic frog of the family Pipidae. Its name is derived from the three short claws o ...

''), and

fish Fish are Aquatic animal, aquatic, craniate, gill-bearing animals that lack Limb (anatomy), limbs with Digit (anatomy), digits. Included in this definition are the living hagfish, lampreys, and Chondrichthyes, cartilaginous and bony fish as we ...

(

): collective migration of neural crest cells occurs during embryo development of vertebrates. They migrate long distances from the head (

neural tube In the developing chordate (including vertebrates), the neural tube is the embryonic precursor to the central nervous system, which is made up of the brain and spinal cord. The neural groove gradually deepens as the neural fold become elevated, ...

) to give rise to different tissues. Spreading of

cancer Cancer is a group of diseases involving abnormal cell growth with the potential to invade or spread to other parts of the body. These contrast with benign tumors, which do not spread. Possible signs and symptoms include a lump, abnormal b ...

(

): common complication of cancer involve formation of new tumors (secondary tumors), as a result of migration of cancer cells from the primary tumor. Similar to collective cell migration in development and wound healing, cancer cells also undergo epithelial to mesenchymal transition (EMT), that reduces cell-cell adhesions and allows cancer spreading. The diagram on the right shows:
* A: Border cell migration in a ''

Drosophila ''Drosophila'' () is a genus of flies, belonging to the family Drosophilidae, whose members are often called "small fruit flies" or (less frequently) pomace flies, vinegar flies, or wine flies, a reference to the characteristic of many speci ...

'' embryo. (a) shows border cells migrating in a confined space surrounded by gigantic nurse cells. * B: The initial position of

posterior

primordia (pLLP) cells. (b) is a sagittal section showing how the these cells migrate in a confined space between the somatic mesoderm and epidermis. * C: The cephalic

of the clawed frog ''

Xenopus ''Xenopus'' () (Gk., ξενος, ''xenos''=strange, πους, ''pous''=foot, commonly known as the clawed frog) is a genus of highly aquatic frogs native to sub-Saharan Africa. Twenty species are currently described within it. The two best-know ...

'' migrating in well-defined streams from dorsal to ventral and anterior. (c) is a transverse section across the head of a ''Xenopus'' embryo showing the high degree of confinement experienced by the neural crest while migrating sandwiched between the epidermis and underlying head mesoderm.

Mathematical models

There are several mathematical models that describe collective cell motion. Typically, a Newtonian equation of motion for a system of cells is solved. Several forces act on each individual cell, examples are

friction Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: *Dry friction is a force that opposes the relative lateral motion of ...

(between environment and other cells), chemotaxis and self-propulsion. The latter implies that cells are

active Active may refer to: Music * ''Active'' (album), a 1992 album by Casiopea * Active Records, a record label Ships * ''Active'' (ship), several commercial ships by that name * HMS ''Active'', the name of various ships of the British Royal ...

matter far from

thermal equilibrium Two physical systems are in thermal equilibrium if there is no net flow of thermal energy between them when they are connected by a path permeable to heat. Thermal equilibrium obeys the zeroth law of thermodynamics. A system is said to be in ...

that are able to generate force due to myosin-actin contractile motion. An overview over physical description of collective cell migration explains that the following types of models can be used: *

Lattice models In mathematical physics, a lattice model is a mathematical model of a physical system that is defined on a lattice, as opposed to a continuum, such as the continuum of space or spacetime. Lattice models originally occurred in the context of co ...

(e.g. BIO-LGCA models) * Models similar to

Dissipative particle dynamics Dissipative particle dynamics (DPD) is an off-lattice mesoscopic simulation technique which involves a set of particles moving in continuous space and discrete time. Particles represent whole molecules or fluid regions, rather than single atoms, and ...

that solve Newton's equation of motion with dissipative and random forces * Models where cells depict Voronoi regions and an effective potential (based on Voronoi graphs) for the tissue is used * Continuum models, e.g. with the use of a phase field * Kinetic theories similar to the

Boltzmann equation The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium, devised by Ludwig Boltzmann in 1872.Encyclopaedia of Physics (2nd Edition), R. G. Lerne ...

These mathematical models give some insight in complex phenomena like cancer, wound healing and ectoplasms.

Spectrum of collective cell migration

In the diagram immediately below, different morphologies of collective cell migration are characterized by their cohesiveness during migration (inversely related to density), as well as the number of nearest neighbours with which a cell interacts while moving (i.e. the topological arrangement of individual cells in the population). Cells (ellipses) can migrate in linear chains (top left), with persistent contact to cells either side of them, or along trails formed by preceding cells (bottom left). In migrating sheets, cells may maintain most of their nearest neighbours over time (top right), whereas in streaming migration cell–cell contacts occur at longer range and with potentially frequent neighbour rearrangement (bottom right). These concepts easily extend to three-dimensional migration, in which case the place of migrating sheets can be taken by moving clusters or spheroids. Spectrum of collective cell migration

References

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External links

Computational Methods to Quantify and Model Collective Cell Migration

Taking Aim at Moving Targets in Computational Cell Migration
Cells Cancer