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Vascular remodelling is a process which occurs when an immature
heart The heart is a muscular organ in most animals. This organ pumps blood through the blood vessels of the circulatory system. The pumped blood carries oxygen and nutrients to the body, while carrying metabolic waste such as carbon dioxide to t ...
begins contracting, pushing fluid through the early
vasculature The blood circulatory system is a system of organs that includes the heart, blood vessels, and blood which is circulated throughout the entire body of a human or other vertebrate. It includes the cardiovascular system, or vascular system, tha ...
. The process typically begins at day 22, and continues to the tenth week of
human embryogenesis Human embryonic development, or human embryogenesis, is the development and formation of the human embryo. It is characterised by the processes of cell division and cellular differentiation of the embryo that occurs during the early stages of de ...
. This first passage of fluid initiates a
signal cascade Signal transduction is the process by which a chemical or physical signal is transmitted through a cell as a biochemical cascade, series of molecular events, most commonly protein phosphorylation catalyzed by protein kinases, which ultimately re ...
and cell movement based on physical cues including
shear stress Shear stress, often denoted by (Greek: tau), is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. ''Normal stress'', on the ...
and
circumferential stress In mechanics, a cylinder stress is a stress distribution with rotational symmetry; that is, which remains unchanged if the stressed object is rotated about some fixed axis. Cylinder stress patterns include: * circumferential stress, or hoop stres ...
, which is necessary for the remodelling of the vascular network,
arterial An artery (plural arteries) () is a blood vessel in humans and most animals that takes blood away from the heart to one or more parts of the body (tissues, lungs, brain etc.). Most arteries carry oxygenated blood; the two exceptions are the pu ...
-
venous Veins are blood vessels in humans and most other animals that carry blood towards the heart. Most veins carry deoxygenated blood from the tissues back to the heart; exceptions are the pulmonary and umbilical veins, both of which carry oxygenated ...
identity, angiogenesis, and the regulation of
gene In biology, the word gene (from , ; "... Wilhelm Johannsen coined the word gene to describe the Mendelian units of heredity..." meaning ''generation'' or ''birth'' or ''gender'') can have several different meanings. The Mendelian gene is a b ...
s through
mechanotransduction In cellular biology, mechanotransduction ('' mechano'' + '' transduction'') is any of various mechanisms by which cells convert mechanical stimulus into electrochemical activity. This form of sensory transduction is responsible for a number of ...
. This embryonic process is necessary for the future stability of the mature vascular network.Jones, E.A.V., ''et al''. (December, 2006). What Determines Blood Vessel Structure? Genetic Prespecification vs. Hemodynamics. Physiology 21: 388 – 395.
Vasculogenesis Vasculogenesis is the process of blood vessel formation, occurring by a '' de novo'' production of endothelial cells. It is sometimes paired with angiogenesis, as the first stage of the formation of the vascular network, closely followed by ang ...
is the initial establishment of the components of the
blood vessel The blood vessels are the components of the circulatory system that transport blood throughout the human body. These vessels transport blood cells, nutrients, and oxygen to the tissues of the body. They also take waste and carbon dioxide away ...
network, or vascular tree. This is dictated by genetic factors and has no inherent function other than to lay down the preliminary outline of the
circulatory system The blood circulatory system is a system of organs that includes the heart, blood vessels, and blood which is circulated throughout the entire body of a human or other vertebrate. It includes the cardiovascular system, or vascular system, tha ...
. Once fluid flow begins, biomechanical and
hemodynamic Hemodynamics or haemodynamics are the dynamics of blood flow. The circulatory system is controlled by homeostatic mechanisms of autoregulation, just as hydraulic circuits are controlled by control systems. The hemodynamic response continuously mo ...
inputs are applied to the system set up by vasculogenesis, and the active remodelling process can begin. Physical cues such as
pressure Pressure (symbol: ''p'' or ''P'') is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Gauge pressure (also spelled ''gage'' pressure)The preferred spelling varies by country and e ...
,
velocity Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time (e.g. northbound). Velocity i ...
, flow patterns, and shear stress are known to act on the vascular network in a number of ways, including branching
morphogenesis Morphogenesis (from the Greek ''morphê'' shape and ''genesis'' creation, literally "the generation of form") is the biological process that causes a cell, tissue or organism to develop its shape. It is one of three fundamental aspects of deve ...
, enlargement of vessels in high-flow areas, angiogenesis, and the development of vein valves. The mechanotransduction of these physical cues to
endothelial The endothelium is a single layer of squamous endothelial cells that line the interior surface of blood vessels and lymphatic vessels. The endothelium forms an interface between circulating blood or lymph in the lumen and the rest of the vessel ...
and
smooth muscle cells Smooth muscle is an involuntary non-striated muscle, so-called because it has no sarcomeres and therefore no striations (''bands'' or ''stripes''). It is divided into two subgroups, single-unit and multiunit smooth muscle. Within single-unit mus ...
in the vascular wall can also trigger the promotion or repression of certain genes which are responsible for
vasodilation Vasodilation is the widening of blood vessels. It results from relaxation of smooth muscle cells within the vessel walls, in particular in the large veins, large arteries, and smaller arterioles. The process is the opposite of vasoconstrictio ...
, cell alignment, and other shear stress-mitigating factors. This relationship between
genetics Genetics is the study of genes, genetic variation, and heredity in organisms.Hartl D, Jones E (2005) It is an important branch in biology because heredity is vital to organisms' evolution. Gregor Mendel, a Moravian Augustinian friar wor ...
and environment is not clearly understood, but researchers are attempting to clarify it by combining reliable genetic techniques, such as genetically-ablated
model organisms A model organism (often shortened to model) is a non-human species that is extensively studied to understand particular biological phenomena, with the expectation that discoveries made in the model organism will provide insight into the working ...
and tissues, with new technologies developed to measure and track flow patterns, velocity profiles, and pressure fluctuations ''
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 ...
''. Both ''in vivo'' study and modelling are necessary tools to understand this complex process. Vascular remodelling is pertinent to
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 proper integration of tissue grafting and
organ donation Organ donation is the process when a person allows an organ of their own to be removed and transplanted to another person, legally, either by consent while the donor is alive or dead with the assent of the next of kin. Donation may be for re ...
s. Promoting an active remodelling process in some cases could help patients recover faster and retain functional use of donated tissues. However, outside of wound healing, chronic vascular remodelling in the adult is often symptomatic of cardiovascular disease. Thus, increased understanding of this biomedical
phenomenon A phenomenon ( : phenomena) is an observable event. The term came into its modern philosophical usage through Immanuel Kant, who contrasted it with the noumenon, which ''cannot'' be directly observed. Kant was heavily influenced by Gottfried ...
could aid in the development of
therapeutics A therapy or medical treatment (often abbreviated tx, Tx, or Tx) is the attempted remediation of a health problem, usually following a medical diagnosis. As a rule, each therapy has indications and contraindications. There are many different ...
or preventative measures to combat diseases such as
atherosclerosis Atherosclerosis is a pattern of the disease arteriosclerosis in which the wall of the artery develops abnormalities, called lesions. These lesions may lead to narrowing due to the buildup of atheromatous plaque. At onset there are usually no s ...
.


Historical view

Over 100 years ago, Thoma observed that increases in local blood flow cause widening of the vessel
diameter In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle. Both definitions are also valid fo ...
and he even went so far as to postulate that blood flow might be responsible for the growth and development of blood vessels.Thoma, R. (1893). Untersuchungen ü ber die Histogenese und Histo- mechanik des 1186 Gefä ßsystems. Stuttgart, Germany: Ferdinand Enke Subsequently, Chapman in 1918 discovered that removing a chick embryo's heart disrupted the remodelling process, but the initial vessel patterns laid down by vasculogenesis remained undisturbed. Next, in 1926 Murray proposed that vessel diameter was proportional to the amount of shear stress at the vessel wall; that is, that vessels actively
adapted In biology, adaptation has three related meanings. Firstly, it is the dynamic evolutionary process of natural selection that fits organisms to their environment, enhancing their evolutionary fitness. Secondly, it is a state reached by the po ...
to flow patterns based on physical cues from the environment, such as shear stress.
The chemical basis of morphogenesis "The Chemical Basis of Morphogenesis" is an article that the English mathematician Alan Turing wrote in 1952. It describes how patterns in nature, such as stripes and spirals, can arise naturally from a homogeneous, uniform state. The theory, w ...
," written in 1952 by
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
and computer scientist
Alan Turing Alan Mathison Turing (; 23 June 1912 – 7 June 1954) was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist. Turing was highly influential in the development of theoretical co ...
advocated for various biological models based on
molecular diffusion Molecular diffusion, often simply called diffusion, is the thermal motion of all (liquid or gas) particles at temperatures above absolute zero. The rate of this movement is a function of temperature, viscosity of the fluid and the size (mass) of ...
of
nutrients A nutrient is a substance used by an organism to survive, grow, and reproduce. The requirement for dietary nutrient intake applies to animals, plants, fungi, and protists. Nutrients can be incorporated into cells for metabolic purposes or excre ...
.Fleury, V. (2000). Branching morphogenesis in a reaction-diffusion model. Physical Review E 61: 4156 – 4160. However, a diffusive model of vascular development would seem to fall short of the complexity of capillary beds and the interwoven network of arteries and veins.Nguyen, T-H., ''et al''. (June, 2006). Dynamics of branching morphogenesis: The effect of blood and tissue flow. Physical Review E 73. In 2000, Fleury proposed that instead of diffusive molecules bearing responsibility for the branching morphogenesis of the vascular tree, a long-range
morphogen A morphogen is a substance whose non-uniform distribution governs the pattern of tissue development in the process of morphogenesis or pattern formation, one of the core processes of developmental biology, establishing positions of the various ...
may be implicated. In this model, a traveling pressure wave would act upon the vasculature via shear stress to rearrange branches into the lowest-energy configuration by widening vessels carrying increased blood flow and rearranging networks upon the initiation of fluid flow.Koller, A. and Kaley, G. (1996). Shear stress dependent regulation of vascular resistance in health and disease: Role of endothelium. Endothelium 4: 247 – 272. It is known that mechanical forces can have a dramatic impact on the
morphology Morphology, from the Greek and meaning "study of shape", may refer to: Disciplines * Morphology (archaeology), study of the shapes or forms of artifacts * Morphology (astronomy), study of the shape of astronomical objects such as nebulae, galaxies ...
and complexity of the vascular tree. However, these forces have comparably little impact on the diffusion of nutrients, and it therefore seems unlikely that acquisition of nutrients and
oxygen Oxygen is the chemical element with the symbol O and atomic number 8. It is a member of the chalcogen group in the periodic table, a highly reactive nonmetal, and an oxidizing agent that readily forms oxides with most elements as ...
plays a significant role in embryonic vascular remodelling. It is now widely accepted that vascular remodelling in the embryo is a process distinct from vasculogenesis; however these two processes are inextricably linked. Vasculogenesis occurs prior to vascular remodelling, but is a necessary step in the development of the blood vessel network and has implications on the identification of vessels as either arterial or venous. Once contraction of the heart begins, vascular remodelling progresses via the interplay of forces resulting from biomechanical cues and fluid dynamics, which are translated by mechanotransduction to changes at cellular and genetic levels.


Vasculogenesis

Vasculogenesis is the formation of early vasculature, which is laid down by genetic factors.Jones, E.A.V. (April, 2010). Mechanotransduction and blood fluid dynamics in developing blood vessels. Canadian Journal of Chemical Engineering 88: 136 – 143. Structures called blood islands form in the mesoderm layer of the
yolk sac The yolk sac is a membranous sac attached to an embryo, formed by cells of the hypoblast layer of the bilaminar embryonic disc. This is alternatively called the umbilical vesicle by the Terminologia Embryologica (TE), though ''yolk sac'' is ...
by cellular differentiation of
hemangioblasts Hemangioblasts are the multipotent precursor cells that can differentiate into both hematopoietic and endothelial cells. In the mouse embryo, the emergence of blood islands in the yolk sac at embryonic day 7 marks the onset of hematopoiesis. From ...
into endothelial and red blood cells. Next, the capillary
plexus In neuroanatomy, a plexus (from the Latin term for "braid") is a branching network of vessels or nerves. The vessels may be blood vessels (veins, capillaries) or lymphatic vessels. The nerves are typically axons outside the central nervous syste ...
forms as endothelial cells migrate outward from blood islands and form a random network of continuous strands. These strands then undergo a process called lumenization, the spontaneous rearrangement of endothelial cells from a solid cord into a hollow tube.Forgacs, G. and Newman, S.A. (2005). Biological Physics of the Developing Embryo. Cambridge, UK: Cambridge University Press. Inside the embryo, the
dorsal aorta The dorsal aortae are paired (left and right) embryological vessels which progress to form the descending aorta. The paired dorsal aortae arise from aortic arches that in turn arise from the aortic sac. The primary dorsal aorta is located deep ...
forms and eventually connect the heart to the capillary plexus of the yolk sac. This forms a closed-loop system of rigid endothelial tubing. Even this early in the process of vasculogenesis, before the onset of blood flow, sections of the tube system may express ephrins or neuropilins,
genetic markers A genetic marker is a gene or DNA sequence with a known location on a chromosome that can be used to identify individuals or species. It can be described as a variation (which may arise due to mutation or alteration in the genomic loci) that can ...
of arterial or venous identities, respectively. These identities are still somewhat flexible, but the initial characterization is important to the embryonic remodelling process. Angiogenesis also contributes to the complexity of the initial network; spouting endothelial buds form by an
extrusion Extrusion is a process used to create objects of a fixed cross-sectional profile by pushing material through a die of the desired cross-section. Its two main advantages over other manufacturing processes are its ability to create very complex ...
-like process which is prompted by the expression of
vascular endothelial growth factor Vascular endothelial growth factor (VEGF, ), originally known as vascular permeability factor (VPF), is a signal protein produced by many cells that stimulates the formation of blood vessels. To be specific, VEGF is a sub-family of growth factors, ...
(VEGF). These endothelial buds grow away from the parent vessel to form smaller, daughter vessels reaching into new territory. Intussusception, the phenomenon of a single tube splitting to form two branching tubes, also contributes to angiogenesis. Angiogenesis is generally responsible for colonizing individual organ systems with blood vessels, whereas vasculogenesis lays down the initial pipelines of the network.Taber, L.A. (June, 2001). Biomechanics of Cardiovascular Development. Annual Review of Biomedical Engineering 3: 1 – 25. Angiogenesis is also known to occur during vascular remodelling.


Arterial-venous identity

The classification of angioblasts into arterial- or venous-identified cells is essential to form the proper branching morphology. Arterial segments of the early vasculature express ephrinB2 and
DLL4 Delta-like 4 is a protein that in humans is encoded by the ''DLL4'' gene. This gene is a homolog In biology, homology is similarity due to shared ancestry between a pair of structures or genes in different taxa. A common example of homologou ...
whereas venous segments express neuropilin-2 and
EPHB4 Ephrin type-B receptor 4 is a protein that in humans is encoded by the ''EPHB4'' gene In biology, the word gene (from , ; "...Wilhelm Johannsen coined the word gene to describe the Mendelian units of heredity..." meaning ''generation'' or ...
; this is believed to assist in guidance of flow from arterial-venous sections of the loop. However, mechanical cues provided by the heart's first contractions are still necessary for complete remodelling. The first event of biomechanical-driven hierarchal remodelling occurs just after the onset of heart beat, when the vitelline artery forms by the fusion of several smaller capillaries. Subsequently, side branches may disconnect from the main artery and reattach to the venous network, effectively changing their identity.le Noble, F. ''et al''. (October, 2003). Flow regulates arterial-venous differentiation in the chick embryo yolk sac. Development 131: 361 – 375. This is thought to be due to the high luminal pressure in the arterial lines, which prevents reattachment of the branches back onto arterial vessels. This also prevents the formation of shunts between the two components of the network. Moyon et al. showed that arterial endothelial cells could become venous and vice versa.Moyon, D. ''et al''. (September, 2001). Plasticity of endothelial cells during arterial-venous differentiation in the avian embryo. Development 128: 3359 – 3370. They grafted sections of
quail Quail is a collective name for several genera of mid-sized birds generally placed in the order Galliformes. The collective noun for a group of quail is a flock, covey, or bevy. Old World quail are placed in the family Phasianidae, and New ...
endothelial tubing which had previously expressed arterial markers onto chick veins (or vice versa), showcasing the plasticity of the system. Reversing flow patterns in arteries and/or veins can also have the same effect, although it is unclear whether this is due to differences in physical or chemical properties of venous vs. arterial flow (i.e. pressure profile and
oxygen tension Blood gas tension refers to the partial pressure of gases in blood. There are several significant purposes for measuring gas tension. The most common gas tensions measured are oxygen tension (PxO2), carbon dioxide tension (PxCO2) and carbon monox ...
). Another example of the fluidity of arterial-venous identity is that of the intersomitic vessel. At early stages, this vessel is connected to the
aorta The aorta ( ) is the main and largest artery in the human body, originating from the left ventricle of the heart and extending down to the abdomen, where it splits into two smaller arteries (the common iliac arteries). The aorta distributes o ...
, making it part of the arterial network. However, sprouts from the cardiac vein may fuse with the intersomitic vessel, which slowly disconnects from the aorta and becomes a vein. This process is not fully understood, but may occur out of a need to balance mechanical forces such as pressure and perfusion. Arterial-venous identity in the early stages of embryonic vascular remodelling is flexible, with arterial segments often being recycled to venous lines and the physical structure and genetic markers of segments being actively remodelled along with the network itself. This indicates that the system as a whole exhibits a degree of plasticity which allows it to be shaped by transitory flow patterns and hemodynamic signals, however genetic factors do play a role in the initial specification of vessel identity.


Biomechanics

Once the heart begins to beat, mechanical forces start acting upon the early vascular system, which rapidly expands and reorganizes to serve tissue
metabolism Metabolism (, from el, μεταβολή ''metabolē'', "change") is the set of life-sustaining chemical reactions in organisms. The three main functions of metabolism are: the conversion of the energy in food to energy available to run c ...
. In embryos devoid of blood flow, endothelial cells retain an undifferentiated morphology similar to angioblasts (compared to flattened
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 intercell ...
found in mature vasculature). Once the heart begins beating, the morphology and behaviour of endothelial cells change.Wakimoto ''et al''. (2000). Targeted disruption of Na+/Ca2+ exchanger gene leads to cardiomyocyte apoptosis and defects in heart beat. Journal of Biological Chemistry 275: 36991 – 36998. By changing the
heart rate Heart rate (or pulse rate) is the frequency of the heartbeat measured by the number of contractions (beats) of the heart per minute (bpm). The heart rate can vary according to the body's physical needs, including the need to absorb oxygen and excr ...
, the heart can also control perfusion or pressure acting upon the system in order to trigger sprouting of new vessels. In turn, new vessel sprouting is balanced by the expansion of other embryo tissues, which
compress compress is a Unix shell compression program based on the LZW compression algorithm. Compared to more modern compression utilities such as gzip and bzip2, compress performs faster and with less memory usage, at the cost of a significantly lo ...
blood vessels as they grow. The equilibrium of these forces plays a major role in vascular remodelling, but although the angiogenic mechanisms required to trigger the sprouting of new vessels have been studied, little is known about the remodelling processes required to curb the growth of unnecessary branches. As blood perfuses the system, it exerts shear and pressure forces on the vessel walls. At the same time, tissue growth outside the cardiovascular system pushes back on the outside of the vessel walls. These forces must be balanced to obtain an efficient energy state for low-cost delivery of nutrients and oxygen to all tissues of the embryo body. When growth of the yolk sac (external tissue) is constrained, the balance between vascular forces and tissue forces is shifted and some vascular branches may be disconnected or diminished during the remodelling process because they are unable to forge new paths through the compressed tissue. In general, the stiffness and resistance of these tissues dictates the degree to which they can be deformed and the way in which biomechanical forces can affect them. The development of the vascular network is self-organized at each point in the tissue due to the balance between compressive forces of tissue expansion and circumferential stretch of the vessel walls. Over time, this means that migrating lines become straight rather than curving; this is akin to imagining two moving boundaries pushing on each other. Straight vessels are usually
parallel Parallel is a geometric term of location which may refer to: Computing * Parallel algorithm * Parallel computing * Parallel metaheuristic * Parallel (software), a UNIX utility for running programs in parallel * Parallel Sysplex, a cluster of ...
to isopressure lines because the boundaries have acted to equilibriate
pressure gradient In atmospheric science, the pressure gradient (typically of air but more generally of any fluid) is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The p ...
s. In addition, vessel direction tends to follow the direction of the normal to the steepest stress gradient. Additionally, biomechanic forces inside embryonic vessels have important remodelling effects. Pressure fluctuations lead to stress and strain fluctuations, which can "train" the vessels to bear loads later in the organism's development. The fusion of several small vessels can also generate large vessels in areas of the vascular tree where blood pressure and flow rate are larger.
Murray's law In biophysical fluid dynamics, Murray's law is a potential relationship between radii at junctions in a network of fluid-carrying tubular pipes. Its simplest version proposes that whenever a branch of radius r splits into two branches of radii ...
is a relation between the radius of parent vessels to the radius of branches which holds true for the circulatory system. This outlines the balance between the lowest resistance to flow presented by vessel size (because large-diameter vessels exhibit a low
pressure drop Pressure drop is defined as the difference in total pressure between two points of a fluid carrying network. A pressure drop occurs when frictional forces, caused by the resistance to flow, act on a fluid as it flows through the tube. The main de ...
) and the maintenance of the blood itself as a living tissue which cannot diffuse ''ad infinitum''. Therefore, complex branching is required to supply blood to organ systems, as diffusion alone cannot be responsible for this. Biomechanics act on the vascular network connections as well. Luminal pressure has been shown to direct the recycling of vessel segments to high-pressure areas, and govern the disconnection of vessel segments from arterial lines and reattachment to venous lines in order to shape the network. This type of vessel breakage may even be indirectly responsible for the development of some organ systems and the
evolution Evolution is change in the heritable characteristics of biological populations over successive generations. These characteristics are the expressions of genes, which are passed on from parent to offspring during reproduction. Variation ...
of larger organisms, as without detachment and migration, large masses of tissue in the embryo would remain disconnected from the blood supply. Once vessels break away from the parent artery, they may also undergo angiogenesis to infest tissues distal to the rest of the network.


Fluid dynamics

Fluid dynamics also plays an important role in vascular remodelling. The shear stress applied to vessel walls is proportional to the
viscosity The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water. Viscosity quantifies the inte ...
and flow patterns of the fluid. Disturbed flow patterns can promote the formation of valves and increasing pressure can affect the radial growth of vessels. The primitive heart within the first few days of contraction is best described as a peristaltic pump, however after three days the flow becomes pulsatile. Pulsatile flow plays an important role in vascular remodelling, as flow patterns can affect the mechanotransduction of stress to endothelial cells.Buschmann, I. ''et al''. (April, 2010). Pulsatile shear and Gja5 modulate arterial identity and remodelling events during flow-driven arteriogenesis. Development 137: 2187–2196. Dimensionless relations such as the Reynolds number and Womersley number can be used to describe flow in early vasculature. The low Reynolds number present in all early vessels means that flow can be considered creeping and laminar. A low Womersley number means that viscous effects dominate flow structure and that
boundary layers In physics and fluid mechanics, a boundary layer is the thin layer of fluid in the immediate vicinity of a bounding surface formed by the fluid flowing along the surface. The fluid's interaction with the wall induces a no-slip boundary cond ...
can be considered to be non-existent. This allows the fluid dynamic computations to rest upon certain assumptions which simplify the mathematics. During the first stages of embryonic vascular remodelling, high-velocity flow is not present solely in large-diameter vessels, but this corrects itself due to the effects of vascular remodelling over the first two days of blood flow.Jones, E.A.V. ''et al''. (2004). Measuring hemodynamic changes during mammalian development. American Journal of Physiology. Heart and Circulatory Physiology 287: H1561 – H1569. It is known that embryonic vessels respond to increases in pressure by increasing the diameter of the vessel. Due to the absence of smooth muscle cells and the
glycocalyx The glycocalyx, also known as the pericellular matrix, is a glycoprotein and glycolipid covering that surrounds the cell membranes of bacteria, epithelial cells, and other cells. In 1970, Martinez-Palomo discovered the cell coating in animal c ...
, which provide elastic support in adult vessels, blood vessels in the developing embryo are much more resistant to flow. This means that increases in flow or pressure can only be answered by rapid, semi-permanent expansion of the vessel diameter, rather than by more gradual stretch and expansion experienced in adult blood vessels. Rearranging the Laplace and
Poiseuille The poiseuille (symbol Pl) has been proposed as a derived SI unit of dynamic viscosity, named after the French physicist Jean Léonard Marie Poiseuille (1797–1869). In practice the unit has never been widely accepted and most international s ...
relations suggests that radial growth occurs as a result of circumferential stretch and circumferential growth occurs as a result of shear stress. Shear stress is proportional to the speed inside the vessel as well as the pressure drop between two fixed points on the vessel wall. The precise mechanism of vessel remodelling is believed to be high stress on the inner wall of the vessel which can induce growth, which heads toward uniform compressive and
tensile stress In continuum mechanics, stress is a physical quantity. It is a quantity that describes the magnitude of forces that cause deformation. Stress is defined as ''force per unit area''. When an object is pulled apart by a force it will cause elonga ...
on both sides of the vessel wall. Generally, it has been found that circumferential residual stress is compressive and tensile, indicating that inner layers of the endothelial tube grow more than outer layers.Chuong, C.J. and Fung, Y.C. (1986). On residual stress in arteries. Journal of Biomechanics 108: 189 – 192.


Mechanotransduction and genetic regulation

The mechanism by which different types of flow patterns and other physical cues have different effects on vascular remodelling in the embryo is called mechanotransduction.
Turbulent flow In fluid dynamics, turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure and flow velocity. It is in contrast to a laminar flow, which occurs when a fluid flows in parallel layers, with no disruption between t ...
, which is commonplace in the developing vasculature, plays a role in the formation of cardiac valves which prevent backflows associated with turbulence.Hove, J.R. ''et al''. (2003). Intracardiac fluid forces are an essential epigenetic factor for embryonic cardiogenesis. Nature 421: 172 – 177. It has also been shown that heterogeneous flow patterns in large vessels can create asymmetry, perhaps by preferentially activating genes such as
PITX2 Paired-like homeodomain transcription factor 2 also known as pituitary homeobox 2 is a protein that in humans is encoded by the ''PITX2'' gene. Function This gene encodes a member of the RIEG/PITX homeobox family, which is in the bicoid clas ...
on one side of the vessel, or perhaps by inducing circumferential stretch on one side, promoting regression on the other side.Yashiro, K. ''et al''. (2007). Haemodynamics determined by a genetic programme govern asymmetric development of the aortic arch. Nature 450: 285 – 288. Laminar flow also has genetic effects, such as reducing apoptosis, inhibiting proliferation, aligning cells in direction of flow, and regulating many cell signalling factors. Mechanotransduction may act either by positive or negative feedback loops, which may activate or repress certain genes to respond to the physical stress or strain placed on the vessel. The cell "reads" flow patterns through
integrin Integrins are transmembrane receptors that facilitate cell-cell and cell-extracellular matrix (ECM) adhesion. Upon ligand binding, integrins activate signal transduction pathways that mediate cellular signals such as regulation of the cell cycle ...
sensing,
receptors 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 ...
which provide a mechanical link between 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 ...
and the
actin Actin is a family of globular multi-functional proteins that form microfilaments in the cytoskeleton, and the thin filaments in muscle fibrils. It is found in essentially all eukaryotic cells, where it may be present at a concentration of ov ...
cytoskeleton The cytoskeleton is a complex, dynamic network of interlinking protein filaments present in the cytoplasm of all cells, including those of bacteria and archaea. In eukaryotes, it extends from the cell nucleus to the cell membrane and is com ...
. This mechanism dictates how a cell will respond to flow patterns and can mediate cell adhesion, which is especially relevant to the sprouting of new vessels. Through the process of mechanotransduction, shear stress can regulate the expression of many different genes. The following examples have been studied in the context of vascular remodelling by biomechanics: * Endothelial nitric oxide synthase (eNOS), promotes unidirectional flow at the onset of heart beats and is
upregulated In the biological context of organisms' production of gene products, downregulation is the process by which a cell decreases the quantity of a cellular component, such as RNA or protein, in response to an external stimulus. The complementary pro ...
by shear stressLucitti, J.L. ''et al''. (July, 2007). Vascular remodelling of the mouse yolk sac requires hemodynamic force. Development 134, 3317 – 3326. *
Platelet-derived growth factor Platelet-derived growth factor (PDGF) is one among numerous growth factors that regulate cell growth and division. In particular, PDGF plays a significant role in blood vessel formation, the growth of blood vessels from already-existing blood v ...
(PDGF),
transforming growth factor beta Transforming growth factor beta (TGF-β) is a multifunctional cytokine belonging to the transforming growth factor superfamily that includes three different mammalian isoforms (TGF-β 1 to 3, HGNC symbols TGFB1, TGFB2, TGFB3) and many other ...
(TGFβ), and Kruppel-like factor 2 (Klf-2) are induced by shear stress and may have up-regulating effects on genes which deal with endothelial response to turbulent flow *Shear stress induces phosphorylation of VEGF receptors, which are responsible for vascular development, especially the sprouting of new vessels * Hypoxia can trigger the expression of
hypoxia inducible factor Hypoxia-inducible factors (HIFs) are transcription factors that respond to decreases in available oxygen in the cellular environment, or hypoxia. They are only present in parahoxozoan animals. Discovery The HIF transcriptional complex w ...
1 (HIF-1) or VEGF in order to pioneer the growth of new sprouts into oxygen-deprived areas of the embryo *PDGF-β, VEGFR-2, and connexion43 are upregulated by abnormal flow patterns *Shear stress upregulates
NF-κB Nuclear factor kappa-light-chain-enhancer of activated B cells (NF-κB) is a protein complex that controls transcription of DNA, cytokine production and cell survival. NF-κB is found in almost all animal cell types and is involved in cellular ...
, which induces
matrix metalloproteinases Matrix metalloproteinases (MMPs), also known as matrix metallopeptidases or matrixins, are metalloproteinases that are calcium-dependent zinc-containing endopeptidases; other family members are adamalysins, serralysins, and astacins. The MMPs ...
to trigger the enlargement of blood vesselsCastier, Y. ''et al''. (March, 2009). Role of NF-κB in flow-induced vascular remodelling. Antioxidants & Redox Signalling 11: 1641–1649. Different flow patterns and their duration can elicit very different responses based on the shear-stress-regulated genes. Both genetic regulation and physical forces are responsible for the process of embryonic vascular remodelling, yet these factors are rarely studied in tandem.,


''In vivo'' study

The main difficulty in the ''in vivo'' study of embryonic vascular remodelling has been to separate the effects of physical cues from the delivery of nutrients, oxygen, and other signalling factors which may have an effect on vascular remodelling. Previous work has involved control of blood viscosity in early cardiovascular flow, such as preventing the entry of red blood cells into
blood plasma Blood plasma is a light amber-colored liquid component of blood in which blood cells are absent, but contains proteins and other constituents of whole blood in suspension. It makes up about 55% of the body's total blood volume. It is the intr ...
, thereby lowering viscosity and associated shear stresses. Starch can also be injected into the blood stream in order to increase viscosity and shear stress. Studies have shown that vascular remodelling in the embryo proceeds without the presence of
erythrocytes Red blood cells (RBCs), also referred to as red cells, red blood corpuscles (in humans or other animals not having nucleus in red blood cells), haematids, erythroid cells or erythrocytes (from Greek ''erythros'' for "red" and ''kytos'' for "holl ...
, which are responsible for oxygen delivery. Therefore, vascular remodelling does not depend on the presence of oxygen and in fact occurs before perfused tissues require oxygen delivery. However, it is still unknown whether or not other nutrients or genetic factors may have promotional effects on vascular remodelling. Measurement of parabolic velocity profiles in live embryo vessels indicate that vessel walls are exposed to levels of laminar and shear stress which can have a bioactive effect. Shear stress on embryonic mouse and chicken vasculature ranges between 1 – 5 dyn/cm2. This can be measured by either cutting sections of blood vessels and observing the angle of the opening, which bends to relieve
residual stress In materials science and solid mechanics, residual stresses are stresses that remain in a solid material after the original cause of the stresses has been removed. Residual stress may be desirable or undesirable. For example, laser peening i ...
, or by measuring the
hematocrit The hematocrit () (Ht or HCT), also known by several other names, is the volume percentage (vol%) of red blood cells (RBCs) in blood, measured as part of a blood test. The measurement depends on the number and size of red blood cells. It is norm ...
present in blood vessels and calculating the apparent viscosity of the fluid. Due to the difficulties involved with imaging live embryo development and accurately measuring small values of viscosity, pressure, velocity, and flow direction, increased importance has been placed on developing an accurate model of this process. This way, an effective method for studying these effects ''in vitro'' may be found.


Modelling

A number of models have been proposed to describe fluid effects on the vascular remodelling in the embryo. One point which is often missed in these analogies is the fact that the process occurs within a living system; dead end can break off and reattach elsewhere, branches close and open at junctions or form valves, and vessels are extremely deformable, able to quickly adapt to new conditions and form new pathways. Theoretically, the formation of the vascular tree can be thought of in terms of
percolation theory In statistical physics and mathematics, percolation theory describes the behavior of a network when nodes or links are added. This is a geometric type of phase transition, since at a critical fraction of addition the network of small, disconnecte ...
. The network of tubes arises randomly and will eventually establish a path between two separate and unconnected points. Once some critical number of sprouting tubes have migrated into a previously unoccupied area, a path called a fractal can be established between these two points. Fractals are biologically useful constructions, as they rely on an infinite increase in surface area, which in biological terms translates to a vast increase in transport efficiency of nutrients and wastes. The fractal path is flexible; if one connection is broken, another forms to re-establish the path. This is a useful illustration of how the vascular tree forms, although it cannot be used as a model. The diffusion-limited aggregation model has given simulated results which are closest in comparison to vascular trees ''in vivo''. This model suggests that vascular growth occurs along a gradient of shear stress at the vessel wall, which results in the growth of vessel radii.Fleury, V. and Schwartz, L. (1999). Diffusion limited aggregation from shear stress as a simple model of vasculogenesis. Fractals 7: 33 – 39. Diffusion-limited aggregation proposes that an aggregate grows by the
fusion Fusion, or synthesis, is the process of combining two or more distinct entities into a new whole. Fusion may also refer to: Science and technology Physics *Nuclear fusion, multiple atomic nuclei combining to form one or more different atomic nucl ...
of random walkers, which themselves walk along a pressure gradient.
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 ...
is simply a probability-based version of the diffusion equation. Thus, in applying this model to the vascular tree, small, resistant vessels must be replaced with large, conducting vessels in order to balance the pressure across the entire system. This model yields a structure which is more random at the tips than in the major lines, which is related to the fact that Laplacian formulations are stable when speed is negative with respect to pressure gradient. In major lines, this is always so, but in small sprouts the speed fluctuates around 0, leading to unstable, random behaviour. Another large component of the remodelling process is the disconnection of branched vessels, which then migrate to distal areas in order to supply blood homogeneously. Branching morphogenesis has been found to follow the dielectric breakdown model, in that only the vessels with sufficient flow will enlarge, while others will close off. At locations inside the vessel where two tube split off from one, one arm of the split is likely to close, detach, and migrate towards the venous line, where it will re-attach. The result of the closure of a branch is that flow increases and becomes less turbulent in the main line, while blood also begins to flow towards areas which are lacking. Which branch will close depends on the flow rate, direction, and branching angle; in general, a branching angle of 75° or more will necessitate the closing of the smaller branch. Thus, several important parameters of vascular remodelling can be described using the combined models of diffusion-limited aggregation and dielectric breakdown: the probability that a branch will close off (plasticity of vessel splitting), that a vessel will reconnect to the venous line (plasticity of sprout regrowth), shrinkage resistance of sprouting tips (a balance between external compression and internal shear stress), and the ratio of external tissue growth to internal vessel expansion. However, this model does not take into effect the diffusion of oxygen or signalling factors which may play a role in embryonic vascular remodelling. These models consistently reproduce most aspects of the vasculature seen ''in vivo'' in several different specialized cases.


Application to study of disease progression

Vascular remodelling in non-embryonic tissues is considered to be symptomatic of disease progression. Cardiovascular disease remains one of the most common causes of death globallyMendis, S. ''et al''. (2011). Global Atlas on Cardiovascular Disease Prevention and Control. World Health Organization: Geneva. and is often associated with the blockage or stenosis of blood vessels, which can have dramatic biomechanical effects. In
acute Acute may refer to: Science and technology * Acute angle ** Acute triangle ** Acute, a leaf shape in the glossary of leaf morphology * Acute (medicine), a disease that it is of short duration and of recent onset. ** Acute toxicity, the adverse eff ...
and chronic remodelling, the increase in shear stress due to the decreased diameter of a blocked vessel can cause vasodilation, thereby restoring typical shear stress levels.Castier, Y. ''et al''. (August, 2005). p47phox-dependent NADPH oxidase regulates flow-induced vascular remodelling. Circulation Research 97: 533 – 540. However, dilation also leads to increased blood flow through the vessel, which can result in
hyperaemia Hyperaemia (also hyperemia) is the increase of blood flow to different tissues in the body. It can have medical implications but is also a regulatory response, allowing change in blood supply to different tissues through vasodilation. Clinically, ...
, affect physiological regulatory actions downstream of the afflicted vessel, and place increased pressure on atherosclerotic plaques which may lead to rupture. Blockage of blood vessels is currently treated by surgically inserting
stents In medicine, a stent is a metal or plastic tube inserted into the lumen of an anatomic vessel or duct to keep the passageway open, and stenting is the placement of a stent. A wide variety of stents are used for different purposes, from expanda ...
to force vessel diameters open and restore normal blood flow. By understanding the implication of increased shear stress on
homeostatic In biology, homeostasis (British also homoeostasis) (/hɒmɪə(ʊ)ˈsteɪsɪs/) is the state of steady internal, physical, and chemical conditions maintained by living systems. This is the condition of optimal functioning for the organism and ...
regulators, alternative, less-invasive methods may be developed to treat vessel blockage. The growth of
tumours A neoplasm () is a type of abnormal and excessive growth of tissue. The process that occurs to form or produce a neoplasm is called neoplasia. The growth of a neoplasm is uncoordinated with that of the normal surrounding tissue, and persists ...
often results in reactivation of blood vessel growth and vascular remodelling in order to perfuse the new tissue with blood and sustain its proliferation. Tumour growth has been shown to be self-organizing and to behave more similarly to embryonic tissues than to adult tissues.Dormann, S. and Deutsch, A. (2002). Modelling of self-organized avascular tumour growth with a hybrid cellular automaton. In Silico Biology 2: 393 – 406. As well, vessel growth and flow dynamics in tumours are thought to recapitulate the vessel growth in developing embryos. In this sense, embryonic vascular remodelling can be considered a model of the same pathways which are activated in tumour growth, and increased understanding of these pathways can lead to novel therapeutics which may inhibit tumour formation. Conversely, angiogenesis and vascular remodelling is an important aspect of wound healing and the long-term stability of tissue grafts. When blood flow is disrupted, angiogenesis provides sprouting vessels which migrate into deprived tissues and restore perfusion. Thus, the study of vascular remodelling may also provide important insight into the development of new techniques to improve wound healing and benefit the integration of tissues from transplants by lowering the incidence of rejection.


References

{{Development of mammalian circulatory system Embryology