Discussion: The Brain-Behavior Relationship
REVIEW
Volume transmission and wiring transmission from cellular
to molecular networks: history and perspectives
L. F. Agnati, 1,2
G. Leo, 1 A. Zanardi,
1 S. Genedani,
3 A. Rivera,
4 K. Fuxe
4 and D. Guidolin
5
1 Department of Biomedical Sciences, Section of Physiology, University of Modena, Modena, Italy
2 IRCCS San Camillo, Venezia, Italy
3 Department of Biomedical Sciences, Section of Pharmacology, University of Modena, Modena, Italy
4 Department of Neuroscience, Division of Cellular and Molecular Neurochemistry, Karolinska Institute, Stockholm, Sweden
5 Department of Human Anatomy and Physiology, Section of Anatomy, University of Padova, Padova, Italy
Received 13 October 2005,
accepted 8 December 2005
Correspondence: L.F. Agnati,
Department of Biomedical
Sciences, Section of Physiology,
University of Modena, Via G.
Campi 287, 41100 Modena, Italy.
E-mail: [email protected]
Abstract
The present paper deals with a fundamental issue in neuroscience: the inter-
neuronal communication. The paper gives a brief account of our previous
and more recent theoretical contributions to the subject and also reports new
recent data that support some aspects of our proposal on two major modes
of communication in the central nervous system: the wiring and the volume
transmission. There exist two competing theories on inter-neuronal com-
munication: the neuron doctrine and the theory of the diffuse nerve network,
supported by Cajal and Golgi, respectively (see their respective Nobel Lec-
tures). The present paper gives a brief account of a view on inter-neuronal
communication in the brain, the volume and wiring transmission concept
that to a great extent reconcile these two theories. Thus, the theory of volume
and wiring transmission are summarized and its recent developments that
allow to extend these two modes of communication from the cellular net-
work to the molecular network level is also briefly illustrated. The explan-
atory value of this broadened view is further enhanced by our recent
proposal on the existence of a Global Molecular Network enmeshing the
entire central nervous system. It may be interesting to note that also the
Global Molecular Network theory is reminiscent of the old reticular theory
of Apathy. Finally, the so-called ‘tide hypothesis’ for diffusion of signals in
the brain is briefly discussed and its possible extension to the molecular level
is for the first time introduced. Early indirect evidence supporting volume
transmission in the brain was the discovery of transmitter-receptor mis-
matches. Thus, as an experimental part of the present paper a new approach
to evaluate transmitter-receptor mismatches is given and evidence for inter-
relationships between temperature micro-gradients and mismatches is pro-
vided.
Keywords central nervous system, D1 receptor, extra-cellular matrix,
Global Molecular Network, tide hypothesis, uncoupling proteins, volume
transmission, wiring transmission.
From the dawn of modern neuroscience the inter-
neuronal communication in the brain has been the
subject of hot debates (Shepherd 1991). In fact, Cajal’s
neuron doctrine (i.e. of a synaptic organization of the
neuronal circuits) antagonized Golgi’s idea of a diffuse
nerve network or, in other words, the contiguity
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between neurons (Cajal) was in opposition with the
continuity between neurons (Golgi) as hypotheses to
explain inter-neuronal communication in the brain.
However, already from the very beginning (Golgi 1891)
Camillo Golgi pointed out that the material contact
between neurons is not necessary for their communica-
tion by electrical signals, statement that he based on
Volta’s studies on the second class of conductors (i.e.
electrolytic solutions such as the body fluids). Later on
(1942) this type of communication was described in
some particular neuro-anatomical structures by Arvan-
itaky (Arvanitaki 1942, Krnjevic 1986), who named it
ephaptic transmission (from the Greek word ‘to touch’
even if in the reality no ‘touch’ occurs). More recently, it
has been demonstrated that ephaptic interactions
between a cell body and axons or dendrites can be, in
principle, more significant than ephaptic interactions
among axons in a fibre tract. Extra-cellular action
potentials outside axons are small in amplitude and
spatially spread out, while they are larger in amplitude
and much more spatially confined near cell bodies (Holt
& Koch 1999).
Thus, Golgi’s assessment has been proved and it has
certainly several theoretical and practical implications.
As a matter of fact, the experimental studies on the
ephaptic transmission together with the data on the
extra-cellular space (ECS) as communication channels,
via ion-currents, between neurons (Nicholson et al.
1977) have been important points that we have consid-
ered in formulating a broader view of inter-neuronal
communication. However, it should be kept in mind,
that a new conceptual frame is always the result of
contributions of a very large number of investigators
that is possible to cite properly only in a paper entirely
dedicated to the history of that scientific theory. The
scope of the present paper is different, and hence we will
confine ourselves to cite only some authors.
Thus, only the work of Guillemin, Descarrier, Schmitt,
Nicholson, Vizi, Sykova and Bach-y-Rita will be men-
tioned. The main points of their proposals, as formulated
before our original proposal (Agnati et al. 1986) have
been presented in an extensive paper in the WGC
Symposium held in Stockholm in 1989 (Fuxe & Agnati
1991). However, some more recent results of these and
other authors, when needed, will be reported in the text.
As starting point it may be useful to briefly comment
the different proposals. Most of these proposals were
concerned with the inter-neuronal communication and
all of them were dealing with the prototype of inter-
neuronal communication, namely the synaptic trans-
mission. As a matter of fact, most of them used in an
open or hidden fashion the dichotomous classification:
synaptic vs. non-synaptic transmission.
It should be noted that beside the logical limits of
using a negative term in a classification (see Jevons
1890), several modes of communications in the central
nervous system (CNS) were not considered, such as gap-
junctions and, above all, specialized close membrane
juxta-positions where not only electrical, but also
chemical signals can be exchanged (Shepherd 1991,
Nagy et al. 2004) and usually only two types of signals
were considered, namely neuro-transmitters and ions
hence, other chemical signals such as trophic factors
(Ojeda et al. 2003) and enzymes (Vergnolle et al. 2003)
were neglected. Hence, other relevant physical signals
such as thermal signals were not considered at all
(Agnati et al. 1994, 2004a, Horvath et al. 1999, Fuxe
et al. 2005).
In the 1980s, and the following years, we proposed a
broader view based on two main modes of communi-
cation: the ‘wiring transmission (WT)’ and the ‘volume
transmission’ (VT), where communication takes place
via the ECS. Furthermore, it was clearly pointed out
that these two modes of communication allow not
simply the ‘interneuronal communication’ but rather
the ‘intercellular communication’ in the CNS. Later on
(Agnati & Fuxe 2000), we underlined the importance of
this aspect, and introduced the concept of ‘complex
cellular networks’ (CCN). As discussed below, in the
CCN, cells can exchange information thanks a wide
variety of chemical and physical signals. On this basis,
further developments of our theoretical frame have
recently been given with extension of the VT and WT
concept to the molecular networks (Agnati et al. 2002,
2004b, 2005a).
Theoretical aspects on the communication
modes in the CNS
Basic definitions
Biological apparatuses are made by cells capable of
producing and recognizing signals. It is, therefore,
possible to distinguish cells that operate as a source of
signals and cells that operate as a target for signals.
Usually, a cell is both source and target of signals and
this feature leads to the creation of a net. Thus,
communication in biological apparatuses occurs in
networks. Two types of networks could be distin-
guished in any apparatus: cellular networks and
molecular networks.
Let’s now focus our attention on cellular and
molecular networks of the CNS:
• Cellular networks are made by any type of cells present in the CNS. Actually, not simply neuronal
networks but rather CCN should be considered.
CCN can be defined as the set of cells of any type
that exchanges signals in a certain volume of brain
tissue and, thanks to this cross-talk, is capable of
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Perspectives of volume transmission Æ L F Agnati et al. Acta Physiol 2006, 187, 329–344
integrating inputs to give appropriate outputs
(Agnati & Fuxe 2000).
• Molecular networks are mainly made up by pro- teins and carbohydrates, which fill up the ECS and
the interior of the cells and interact with each other
at boundaries of these compartments namely at the
plasma membrane levels to form a ‘Global Molecu-
lar Network’ (GMN). Thus, the GMN pervades
the intra- as well as the extra-cellular environment
of the entire CNS (Apathy 1897, Agnati et al.
2005a). From a functional standpoint, proteins are
likely to be the most important building blocks for
all the molecular networks. For the ones located in
the ECS (extra-cellular part of GMN) carbohy-
drate-associated proteins have also an important
scaffolding role (Rauch 2004).
More recently (Agnati et al. 2002, 2004b, 2005a), the
concept of VT and WT has been extended also to
molecular networks. As for any computational net, also
for CCN and GMN it is possible to distinguish: nodes,
edges and communication signals (see Fig. 1):
• Nodes are elements where elaborations of inputs occur. As far as the CCN are concerned, nodes are
cells or, in a more integrative view of the CNS,
‘local circuits’ (Rakic 1975). As far as the molecu-
lar networks are concerned, nodes are molecules or
molecule aggregates that under the triggering
action of an input signal carry out biochemical
operations.
• Edges are channels where a communication pro- cess between two nodes occurs. As far as the CCN
are concerned, channels are either parts of cells
(e.g. axons or dendrites) and specialized inter-
cellular contacts (e.g. synapses and gap-junctions),
or diffusion pathways in the ECS. As far as the
molecular networks are concerned, channels are
either molecules, that via inter-molecular physical
contacts allow the transmission of information
between nodes, or diffusion pathways in the
medium interposed between nodes.
• A communication signal is a coded information transmitted along a channel.
The characteristics of the channel allow to distinguish
the VT from the WT:
• VT is characterized by a channel with a poorly defined physical substrate and signal transmission
takes place for diffusion (or vector migration) in
the medium interposed between nodes. ‘Transmis-
sion privacy’, when present, is usually given by the
chemical code (e.g. by the specificity of the neuro-
transmitter/receptor interactions).
• WT is characterized by the transmission of the signal along a channel with a well defined
physical substrate, thus a ‘wire’ links the
source-node with the target-node. ‘Transmission
privacy’, usually present, is given by the fact that
the channel is a private channel. Classically, in
the case of CCN the WT-channel is formed by
an axon and a synapse, in the case of GMN it is
usually formed by proteins (but sometimes also
by carbohydrates and lipids) interconnecting the
two nodes. Thus, the signal transmission appears
Figure 1 Schematic representation of a network. In any network nodes, edges (communication channels), and signals can be
detected. In any apparatus cellular networks and molecular networks could be distinguished. Hence, it has been suggested that a
global molecular network enmeshing the entire CNS is present. Cellular and molecular networks are intermingled and operate in
series and in parallel to allow the integrated function of the CNS. Thus, at the brain level not neuronal networks but rather complex
cellular networks and a molecular network enmeshing the entire CNS should be considered. In cellular networks: nodes are cells
or, in more integrative view of the CNS, ‘local circuits’. Channels are either parts of the cells (e.g. axons or dendrites for
neurons) and specialized inter-cellular contacts (e.g. synapses and gap-junctions), or diffusion pathways in the ECS. In molecular
networks: nodes are molecules or molecule aggregates that under the triggering action of an input signal carry out biochemical
operations. Channels are either molecules, that via inter-molecular physical contacts allow the transmission of information between
nodes, or diffusion pathways in the medium interposed between nodes. For further details see text.
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Acta Physiol 2006, 187, 329–344 L F Agnati et al. Æ Perspectives of volume transmission
as a transient change in the conformation of the
down stream molecules.
Summing up, according to the present hypothesis the
CNS is a computational system with at least two
computing nets, the CCN and the GMN, working
sometimes as parallel circuits, sometimes as serial
circuits and overlapping with each other at cell level
(see Fig. 2). In studying the physiology or pathology of
the brain, it is, therefore, important to consider:
(1) The classical net made by cells and cellular
processes that is the CCN, where a special func-
tional role is given to the neuronal circuits since
they are devoted to a prompt integration of
different types of information to give appropriate
inputs to effectors (e.g. skeletal muscles and
visceral organs).
(2) A GMN made by the extra-cellular matrix (ECM)
molecular net (extra-cellular part of GMN) and by
the intra-cellular molecular nets. The intra-cellular
part of the GMN communicates with the extra-
cellular part of GMN via specialized ‘windows’
(e.g. the lipid rafts). The extra-cellular part of
GMN is made by elements that can carry out a
scaffolding and a computational role. As a matter
of fact, signals can be produced, elaborated and/or
released to be transmitted by the extra-cellular part
of GMN. Among these signals one could mention
several growth factors and hyaluronan fragments
and hyaluronan itself (Bellail et al. 2004, Theodo-
sis et al. 2004).
To understand the complementary functional roles of
these two computing networks, two aspects of the CNS
should be considered namely the location of its cells and
the interconnections among them, and hence the geom-
etry and the connectivity of the neuronal circuits, in one
word the ‘topology’ of the circuit. Both these aspects are
deeply affected by the extra-cellular part of the GMN
which, in turn, is produced and, at least in part,
continuously remodelled by the CCN (Rauch 2004).
VT and WT characteristics
It is possible to summarize the main features of VT and
WT sometimes in absolute terms, but more often by a
comparison between them. Their main features can be
listed as follows:
Main characteristics of VT:
A structurally poorly defined channel, made by the
medium which pervades the network, is always inter-
posed between the source-node and the target-node.
Figure 2 Schematic representation of cellular networks and molecular networks in the brain. Only the extra-cellular molecular
networks are schematically outlined. Membrane associated molecular networks are specialized ‘windows’ for interactions between
extra-cellular and intra-cellular molecular networks. For further details see text.
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Perspectives of volume transmission Æ L F Agnati et al. Acta Physiol 2006, 187, 329–344
Ancillary characteristics of VT:
(1) one source usually gives signals to very many
targets that in some cases are difficult to clearly
identify in view of the fact that no clearly identi-
fiable channel can be traced;
(2) the transmission delay is definitely longer than that
for WT;
(3) the safety of the signal transmission is much lower
than that for WT;
(4) the channel is not a private (dedicated) channel,
hence usually it fulfils also other tasks. A conse-
quence of this feature is the low space cost for VT;
(5) the energy cost for signal transmission is usually
much lower than for WT (Agnati et al. 2005b).
Actually, many times the energy for the signal
transmission is a by-product of taking an ‘oppor-
tunistic’ advantage of energy gradients used for
other purposes within the apparatus or within the
cell.
Main characteristics of WT:
A structurally well-defined channel connects the
source-node with the target-node when the two nodes
are not in a direct physical contact.
Ancillary Characteristics of WT:
(1) One source gives signals to many targets that
usually can be clearly identified in view of the fact
that identifiable channels can be traced. Only when
we consider individual synaptic contacts derived
from the same axon may it be possible to assess
that WT is a ‘one-to-one’ transmission since each
synapse often has its ‘individuality’ (Bennett 2000).
(2) The delay is definitely shorter than that for VT.
(3) The safety of the signal transmission is usually very
high, certainly much higher than that for VT.
(4) The channel is usually a private (dedicated) chan-
nel. A consequence of this feature, and of the
feature mentioned in point 1, is a high space filling
due to the WT-channels axons is observed (Agnati
et al. 2005b). However, in the case of a direct
physical contact between the source-node and the
target-node there is not a real channel, but rather
only interface specializations allowing transmission
of information between the two nodes.
(5) The energy cost for signal transmission is much
higher than that for VT.
VT and WT features for cellular networks and molecular
networks
Cellular networks. Volume transmission: It is in
operation where any type of cell releases chemical
signals or produces a physical signal that diffuses at a
distance, larger than the synaptic cleft, in the ECS
medium interposed between the source and the target
cell where the signal is decoded (Fig. 3).
The following detailed features are well established:
Type of VT-signals. Different classes of VT-signals
should be mentioned:
(a) chemical signals: neurotransmitters, neuromodula-
tors, growth factors, ions (e.g. Ca2+, K+ and H+),
gases (e.g. NO, CO2 and CO), enzymes [e.g.
proteinases on proteinase-activated receptors (PAR)
(Vergnolle et al. 2003, Wang & Reiser 2003)];
(b) physical signals: electrotonic currents, temperature
gradients.
Modalities of VT-signal release. Extra-synaptic release
of transmitters, synaptic spill-over of transmitters,
constitutive (Noel & Mains 1991, Mc Neilly et al.
2003) or reverse uptake release of chemicals in the
extra-cellular fluid (ECF) (Fillenz 1995, Chen & Reith
2000), neuronal generation of electrotonic currents
(local field potentials, LFP) (Ren et al. in press),
generation of temperature gradients by cell groups
containing uncoupling proteins (UCP) (Horvath et al.
1999, see also below).
Pathways for VT-signal migration.
(a) isotropic diffusion in the ECS of the brain;
(b) preferential pathways in the ECS of the brain; this
anisotropic migration can occur mainly along
myelinated nerve bundles and perivascular spaces;
(c) cerebro-spinal fluid (CSF) that allows a vector-
assisted migration.
Energy gradients for VT-signal migration.
(a) concentration gradients;
(b) gradients of electrical potentials (for charged sig-
nals);
(c) pressure gradients (see below the ‘tide hypothesis’);
(d) temperature macro-gradients [i.e. between a brain
active region and a brain inactive region (see
Yablonskiy et al. 2000)] and micro-gradients via
UCP.
It should be noted that pressure and the temperature
gradients beside enabling the ECF renewal (i.e. the
homeostasis of the brain internal milieu), favour VT-
signalling (enhancing release and migration) with obvi-
ously lower costs in terms of energy and space than the
classical synaptic transmission (the prototype of WT).
Furthermore, it should be considered that, as indicated
above in point 2, the temperature macro-gradients by
themselves can operate as signals by acting on molecules
that are highly sensitive to temperature (see also below).
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Acta Physiol 2006, 187, 329–344 L F Agnati et al. Æ Perspectives of volume transmission
Decoding systems for VT-signals.
(a) Private decoding systems: receptors, enzymes, ion
channels, temperature sensitive receptors (Kiyohara
et al. 1990) or, more in general, processes involved
in inter-cellular communication based on chemical
reactions markedly affected by temperature (i.e.
with a temperature coefficient of a reaction
(Q10) > 4) (Kiyohara et al. 1990).
(b) Non-private decoding systems: membrane polar-
ization, chemical reactions involved in inter-cellu-
lar communication affected by temperature
alterations with a Q10 £ 2 (Yablonskiy et al. 2000).
Wiring transmission. The main instances where WT can
be identified are (Fig. 4): synaptic contacts, gap-junc-
tions (Nagy et al. 2004), specialized close membrane
juxta-positions where any movement of substances,
such as ions, metabolites and transmitters, can affect
juxtaposed processes of other cells (Shepherd 1991,
Miyata et al. 1994). It should be noted that mixed
synapses have been described also in mammals. Mixed
synapses provide the structural and functional compo-
nents for both chemical and electrical transmission
within a single synaptic contact on an individual post-
synaptic element (Nagy et al. 2004). For the structural
and functional characteristics of each of these instances,
we refer to previous reviews articles (Nagy et al. 2004).
The signals are usually the chemical signals mentioned
in the introductory section. As far as the physical
signals, the hypothesis is advanced that also tempera-
ture micro-gradients can operate as WT-signals when
they are produced in a highly localized structure (e.g. a
varicosity) which is in close apposition with another
structure where molecules highly sensitive to tempera-
ture are localized.
Molecular networks. Much less is known about the VT
and WT in molecular networks. Thus, presently it is only
possible to mention the best characterized examples:
Figure 3 Schematic representation of the main characteristics of volume transmission (VT) for the cellular networks of the brain.
The drawing illustrates the sources for the VT-signals and the energy gradients that allow their migrations in the extra-cellular space
(ECS) of the brain. It should be mentioned that the volume fraction (a ¼ volume of ECS/volume of tissue) is equal to c. 0.20 (Nicholson & Sykova 1998). For indications about the main VT-signals, see the text.
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Perspectives of volume transmission Æ L F Agnati et al. Acta Physiol 2006, 187, 329–344
(a) The main instances where VT can be identified at
extra-cellular level are the release of trophic signals
from binding sites of the ECM (Soulet et al. 1994,
Cotman et al. 1999). The main instances where VT
can be identified at intra-cellular level is the release
of second messengers (especially calcium ions) in
the cytoplasm (Braunewell 2005).
(b) The main instances where WT can be identified at
extra-cellular level are the interactions of proteins
and hyaluronan with, e.g. integrins inserted in the
plasma membrane or, more generally, protein–
hyluronan–protein interactions (see Day & Shee-
han 2001). The main instances where WT can be
identified at intra-cellular level are the decoding
system of integrins that is mediated via protein–
protein interactions. Another clear example is the
RAS system that via protein–protein interactions
transmit signals from the plasma membrane to the
nucleus (Agnati et al. 2003).
Structure and function of the extra-cellular part
of the GMN
Hyaluronan is simple and unadorned and such a
perfection is unusual in biology and derives from an
important role that hyluronan fulfils in a perfect way: to
be the backbone of several ECM molecular complexes
and to be highly suited for space invading (Day &
Sheehan 2001). Furthermore, it has been pointed out
that several ECM molecules tend to occupy a lot of
space in view of the mutual repulsion of their numerous
negatively charged residues (Sykova 2004). The hyalur-
onan molecule in solution can be pictured as a highly
organized extended dynamic coil that can undergo
sharp kinks, bends and folds while still maintaining
distinctive hydrogen-bond conformations. The charac-
teristic chain reorganization time would be within a
nanosecond timescale. This dynamic flexibility would
give it excellent space-invading properties and, at the
Figure 4 Schematic representation of wiring transmission (WT) for cellular networks of the brain. The morpho-functional
arrangements are schematically illustrated and the main signals employed in the WT are listed. It should be noted that the present
proposal of WT-signals is a further development of the Schmitt’s proposal (see the classical paper by Schmitt 1984) who proposed
the term ‘neuroactive substances’ to denote substances which, in low concentrations, activate important processes within brain cells,
particularly in neuronal targets. Note that when active GAP junctions are continuous via the connexoin built channels coming
together. For further details see text.
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Acta Physiol 2006, 187, 329–344 L F Agnati et al. Æ Perspectives of volume transmission
same time, promote very rapid recovery times after
mechanical perturbation and distortion (Day & Shee-
han 2001).
Thus, hyluronan is one of the fundamental blocks of
the extra-cellular part of GMN which has been
modelled in a simple way by Yamaguchi (2000) with
the proposal of the hyaluronan–lectican–tenascin R
(HLT) model of the brain ECM.
Changes in the building blocks assembled in the net
or binding of ligands to the building blocks can cause a
loosing or a tightening of the net. As far as the building
blocks (see Table 1) of the extra-cellular part of the
GMN it should be considered that:
• Lecticans have different central domains. There- fore, brevican causes a tighter mesh than neurocan;
neurocan causes a tighter mesh than aggregacan.
• Lecticans have different number of attached chon- droitin sulphate chains. The hydratation of the net,
which mainly depends on the amount of chondro-
itin sulphate chains bound to the lectican involved.
In principle, the shorter the lectican the less
chondroitin sulphate chains are attached; there-
fore, less water molecules are held in the net
volume. Therefore, brevican causes less fluidity of
the ECS than aggregacan which has a larger
hydrodynamic volume in view of the high number
of chondroitin sulphate chains.
It is obvious that the size of the mesh and the
hydration of the net deeply affect VT signal diffusion in
the ECS, since they alter the hindrance of the fluidity
(tortuosity) of the ECS. However, besides the control of
VT communication, the extra-cellular part of GMN
also exerts a powerful control of the wiring of the
neuronal circuit (hence of the WT) not only during
development, but also during the entire adult life. This
action of the extra-cellular part of GMN is related to its
control of CNS structural and functional plasticity. The
altered structural plasticity is based on the remodelling
of the circuit, i.e. on a change in the geometry of the
circuit which means a change in the location of the cells
and in the number and location of their interconnec-
tions. In contrast the functional plasticity is based on
the modulation of the functional characteristics of the
connections and mainly on a change in the efficacy of
synaptic and gap-junction transmissions, which are not
necessarily associated with alterations in the geometry
of the circuit.
Summing up, the extra-cellular part of GMN as well
as the intracellular nets are made by building blocks
that create via protein–protein and protein–carbohy-
drate interactions a high-order supra-molecular struc-
ture. The extra-cellular part of GMN has both a
scaffolding role in enabling the appropriate location of
the CNS components and a functional role in cooper-
ating to the maintenance of the microenvironment
around cells and in the creation of preferential diffusion
pathways. The extra-cellular part of the GMN also
affects the communication processes in the cellular
circuits. Intercellular WT (i.e. synaptic contacts, but
also gap junctions and specialized membrane juxta-
positions) is regulated via the control of the cellular
circuit geometry as well as via the control of the cell-to-
cell connection efficacy; intercellular VT (i.e. signal
diffusion) is regulated via the control of the net tightness
and of the ECS medium fluidity, altering tortuosity in
the diffusion pathways where VT signals released by a
cell migrate in the ECS to reach the target cells.
In turn, the CCN affect the GMN molecular compo-
sition and topology both for its extra-cellular and for its
intra-cellular part (Rauch 2004). Thus, a complex
interplay between the molecular and topological organ-
ization of the GMN and the inter-cellular WT and VT
occurs and these interactions lead to an optimal tuning
of the CNS integrative action.
A brief account of the ‘tide hypothesis’
The tide hypothesis enlightens two interrelated phe-
nomena: the renewal of the ECF (i.e. the homeostasis of
the internal milieu of the brain) and the macro-
migration of the VT-signals in the ECS. This hypothesis
is based on the evidence that when arterial pressure
waves reach the Sub-Arachnoid Space (SAS), which is
filled with the CSF, the dilation of cerebral arteries
induces cyclic changes in the hydrostatic pressure inside
of the SAS. It should be noticed that arteries and veins
travel in SAS, and are held against the pia by strands of
connective tissue, before penetrating the brain. As each
small vessel enters or leaves the brain, it carries with it a
sleeve of perivascular space (Virchow–Robin space).
This space extends inward, filled with connective tissue
and ECF, to the level at which the vessel becomes a
capillary. Thus, the SAS is continuous with the
Virchow–Robin spaces and with the ECS of the brain
Table 1 Chemical characteristics of the main lecticans present
in the brain
Lectican
Number of amino
acids of the
central domain
Number of
attachment sites
for glycosaminoglycans
Aggregacan 1486 c. 200
Versican 0 2740 c. 20
Versican 1 1753 c. 15
Versican 2 987 c. 6
Versican 3 c. 0 0
Neurocan 651 c. 7
Brevican c. 300 c. 3
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Perspectives of volume transmission Æ L F Agnati et al. Acta Physiol 2006, 187, 329–344
parenchyma (Nolte 2002). Greitz described the effects
that the cardiac pump has on the brain mechanics by
stating that the brain moves passively like ‘a piston’ due
the alternating pressure gradients created by the heart
and this movement affects CSF movement inside the
ventricular system of the brain (Greitz 1993). These
pressure waves in the CSF produce a ‘push and pull’
movement (as a ‘tide’) of the fluid filling the Virchow–
Robin spaces and thus, according to our hypothesis, of
the ECF in the pericapillary spaces, especially of the
external layers of the cerebral cortex. The tide move-
ments of the ECF can affect the VT communication in
the brain especially with regard to the clearance of
signals over the brain–blood barrier and the pervious-
ness of the VT pathways (Agnati et al. 2004a,b). A
schematic representation of our hypothesis is illustrated
in Figure 5. It should be noticed that the circulation of
the fluid in the ECS of the brain is at least in part (may
be mainly for the most superficial brain volume, i.e.
the one in contact with the SAS and reached by the
Virchow–Robin spaces) similar to the renewal of the
fluid within a sponge.
These macro-effects that, as just described, affect the
brain as a whole, can be traced down to molecular level
since, as reported above, the dynamic flexibility of
hyaluronan would give it excellent space-invading
properties and, at the same time, promote very rapid
recovery times after mechanical perturbation and dis-
tortion (Day & Sheehan 2001). Thus, hyaluronan
behaves like a ‘molecular spring’ that can contribute
to the viscous elastic behaviour of the brain paren-
chyma. Furthermore, lecticans but also several ECM
molecules act like a sponge by binding a large number
of water molecules that can be squeezed out by the
pressure waves. In conclusion, the piston-like move-
ments of the brain cause the sponge-like behaviour of
the brain parenchyma that favour VT-signal migration
(tide hypothesis). Therefore, the tide hypothesis can be
discussed as an epiphenomenon of the molecular
structure of the GMN, in particular of hyluronan,
under the mechanical action of the arterial pulses when
they reach the skull. As indicated in the insert of
Figure 5 the piston-like movements of the brain cause a
slight but appreciable stretch of the parenchyma which
Figure 5 Schematic representation of the tide hypothesis of the fluid movements in the brain (Agnati et al. 2005b). The arterial
pulse as well as the ‘piston like’ movement of the brain cause cyclic pressure oscillations within the SAS. The cyclic pressure
oscillation within the SAS induce ‘tide’ movements of the fluid in Wirchow–Robin spaces, hence in the pericapillary spaces and,
eventually, in the ECF channels, that on one hand favours the renewal of the internal milieu of the brain and on the other hand
favours VT-signal migrations. The insert in the figure illustrates the possible stretching action of the piston-like movements of the
brain on the brain parenchyma. The stretching of the parenchyma can cause the release of ATP from neurons and glial cells
(Lazarowski et al. 2000). ATP mainly works as a WT-signal, but the ADE produced by the enzymatic degradation of ATP mainly
works as a VT-signal. Note that only the pre-junctional features of ATP transmission and its receptors are illustrated. Abbreviations:
ECS, extra-cellular space; SAS, sub-arachnoid space; NT, neurotransmitter; A1 and A2A, receptors for ADE; P2X and P2Y,
receptors for ATP. For further details see text.
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Acta Physiol 2006, 187, 329–344 L F Agnati et al. Æ Perspectives of volume transmission
may induce the release of ATP from cortical neurons
and glial cells (Ahmed et al. 2000, Lazarowski et al.
2000, Neary et al. 2003).The enzymatic degradation of
ATP leads to the local generation of Adenosine (ADE)
which can both acts locally to modulate via A1 or A2A
receptor-activation the ATP effects (Illes & Ribeiro
2004) or can diffuse as a VT-signal to have a wider
modulatory role. Thus, it may be surmised that the
piston-like movements of the brain especially, where
ATP releasing neurons are present may cause also an
overall modulation of neural nets occurring in syn-
chrony with the heart rhythm.
Indirect experimental evidence of VT: the
transmitter-receptor mismatch phenomenon
Several experimental approaches have been provided
supporting the existence of VT (Agnati et al. 2000).
However, one of the first pieces of indirect neurochem-
ical evidence was the demonstration of the so-called
‘transmitter-receptor mismatches’ (Herkenham et al.
1984, Kuhar et al. 1985, Agnati et al. 1986, Jansson
et al. 2002). There is here the spatial uncoupling
between the release sites of a transmitter and the
receptors capable of its recognition and decoding.
In the present paper, we will present a new morph-
ometric approach to evaluate mismatch and we will
apply this method to data from our previous experi-
mental work. Thus, transmitter–receptor mismatches
will be studied in the nucleus accumbens where clear
Dopamine (DA)-terminal vs. DA D1-receptor mismat-
ches have been observed (Jansson et al. 1999). For
details on the immunocytochemical procedure, we will
refer to the Jansson’s paper. It is interesting to note that
this mismatch can be linked to a possible role of UCP in
VT and WT (see also Rivera et al. in press).
Quantitative evaluation of DA-terminal vs. DA
D1-receptor mismatches in nucleus accumbens
by means of computer-assisted image analysis
The basis of our methodology is the modified median
Hausdorff distance (Dubuisson & Jain 1994), which is a
similarity measure between two arbitrary point sets A
and B. It is defined as follows:
hðA; BÞ ¼ median a2A
min b2B
ka � bk;
where ||a)b|| denotes the euclidean distance between a and b. In other words, h(A,B) is the median of the set of
distances taken from any point in A to its nearest point
in B. After obtaining the binary images of the two
patterns, one of them was considered as the reference
pattern and further processed to calculate its ‘distance
transform’ (Russ 1995). This algorithm provides a map
where each background pixel is labelled with a value
equal to its distance from the nearest pixel belonging to
the pattern. The distance of each point of the other
pattern to its nearest in the reference pattern is
evaluated by simply reading out the value the map
exhibited at that location. A first estimate [h(A,B)] of
the median Hausdorff distance is then calculated as the
median of this set of values. A second estimate [h(B,A)]
is obtained by assigning the role of reference pattern to
the second binary image and repeating the whole
procedure. Hence, the maximum between the two
values is considered as the final estimate of the
parameter.
Computer-assisted image analysis was used to evalu-
ate this parameter for nucleus hccumbens tissue sections
processed to visualize DA-terminals and DA-receptors
by immunofluorescence. A spatial mismatch between
the distribution of D1 receptors and that of tyrosine
hydroxylase (TH) positive terminals was observed. The
median Hausdorff distance was found of 30 � 5 lm SD, a value significantly different from zero (P < 0.05,
one-sided t-test).
On the possible role of uncoupling proteins in VT and WT
In the inner membrane of the mitochondria, the UCP
mediate the passive transport of hydrogen ions from the
intermembrane space to the matrix compartment.
Through this process, UCP dissipate the proton gradient
across the inner membrane diminishing the ATP
synthesis and generating an important amount of heat
(Nicholls & Locke 1984, Bouillaud et al. 1985, Palou
et al. 1998, Richard et al. 2001, Horvath et al. 2003a).
UCP have also been demonstrated to reduce the
production of superoxides and increase the efflux of
calcium from the mitochondria (Negre-Salvayre et al.
1997, Arsenijevic et al. 2000). The proteins UCP2 and
UCP3 are members of this protein family and at least
UCP2 is expressed in the CNS (Fleury et al. 1997,
Richard et al. 1998, Horvath et al. 1999, Diano et al.
2000, Lengacher et al. 2004). The role played by UCP2/
3 in the brain has yet to be fully clarified, but it has been
suggested that UCP2 could contribute to the control of
neurotransmission (Horvath et al. 1999, 2003a) and
exert neuroprotective actions (Bechmann et al. 2002,
Diano et al. 2003, Horvath et al. 2003a,b, Paradis et al.
2003). As demonstrated in a previous paper (Rivera
et al. in press) UCP2/3 may enhance VT in the ascend-
ing dopaminergic and noradrenergic terminal systems
especially in the nucleus Accumbens shell where trans-
mitter/receptor mismatches are found (Jansson et al.
2002).
It has been shown that in the caudatus noradrenaline
(NA) and UCP2/3 are co-stored in the same varicosities
338 � 2006 Scandinavian Physiological Society, doi: 10.1111/j.1748-1716.2006.01579.x
Perspectives of volume transmission Æ L F Agnati et al. Acta Physiol 2006, 187, 329–344
and it has been hypothesized that the thermal gradients
produced by the UCP molecules could enhance NA
extra-synaptic release and NA migration in the ECS
from large varicosities specialized for VT (Rivera et al.
in press). It has also been demonstrated that in the shell
part of nucleus accumbens UCP2/3 immunoreactivity
co-distributes with TH-positive terminals surrounding
areas of intense D1-immunoreactivity but with very few
TH-positive terminals. Thus, where a marked D1/DA
terminal mismatch is present. These results have been
quantified by this new approach (see Fig. 6), where it is
shown that in the dorso-medial and ventro-medial fields
of the shell region of accumbens a high co-distribution
of TH (i.e. sites of DA release) and UCP molecules are
detected (P < 0.05, one-sided t-test). These results can
be interpreted as shown in Figure 7, where it is
indicated that UCP can favour DA diffusion, hence
VT in the basal ganglia. Actually, it may be surmised
that UCP can have a role both in VT and in WT and it
may even be by itself a WT-signal. Let us examine the
panels of Figure 8; a UCP-positive cell group which is
the source of a chemical VT-signal can create a thermal
gradient favouring the migration of a wave of VT-
signals towards a cell group that is target for that VT-
signal (see Fig. 8 upper panel). A group of UCP-positive
terminals can create a thermal gradient modulating WT
and VT by enhancing the neuronal firing rate and hence
the neurotransmitter release (see Fig. 8 middle panel).
Finally, UCP at the level of a terminal bouton can
produce a thermal signal at the level of special mem-
brane juxta-positions that is detected by biochemical
reactions characterized by a high Q10 value (see, e.g.
Kiyohara et al. 1990), hence this localized thermal
gradient works as a WT-signal (see Fig. 8 lower panel).
It should be noted that in the pre-optic area and anterior
hypothalamus neurons have been described with a non-
inactivating sodium channel that is highly temperature
sensitive in the hyperthermic range with a Q10 that can
even reach the value of 7 (Kiyohara et al. 1990).
General discussion
The present paper illustrates a broaden view of our
early proposal of VT and WT as the two modes of
intercellular communication in the brain. It should be
noted that the focus of the communication process with
which we dealt from the beginning was the inter-cellular
and not the inter-neuronal communication. On the basis
Figure 6 Evaluation of the mismatch phenomenon at nucleus Accumbens level for the TH-positive terminals (site of DA-release)
and UCP2/3 immunoreactive structures (for details on the procedure see Rivera et al. in press). Binary images of the TH-positive
terminals and UCP-positive receptors have been obtained by grey level thresholding. The mean grey level exhibited by the back-
ground plus two standard deviations was the threshold value used to identify the DA-terminals and UCP positive structures. The
resulting spatial mismatch is close to zero (high match) in the dorso-medial and ventro-medial fields, while a significant mismatch
(h ¼ 12.5; P < 0.05, one-sided t-test) was shown in the lateral field.
� 2006 Scandinavian Physiological Society, doi: 10.1111/j.1748-1716.2006.01579.x 339
Acta Physiol 2006, 187, 329–344 L F Agnati et al. Æ Perspectives of volume transmission
of the present proposal, we think that not only the old
controversy between Golgi’s and Cajal’s views is
conciliated, but also that in addition to synaptic
contiguity and reticular continuity, large discontinuities
between interacting cells are present in the brain.
Furthermore, we have revisited the old Apathy’s
proposal of a diffuse fibrillar network interconnecting
the cellular elements of the brain. This proposal has
now a sounder support from the investigations on the
ECM molecular networks. Thus, we have proposed the
existence of a GMN enmeshing the entire CNS (Agnati
et al. 2005a), pointing out that the ECM molecular
networks have a physical and functional relationships
with intra-cellular molecular networks via specialized
cell membrane molecular networks. Thus, it may be
thought that if it is true that nothing is new under the
sun (Bible: Ecclesiaste) it is also to be considered that
very few proposals are entirely new in Science!
The mismatch phenomenon has been considered by
us as an architecture of VT and thus as indirect evidence
in favour of VT. However, it can also be discussed as a
functional arrangement that allows a particular aspect
of the information handling by the CNS. Let us briefly
introduce this aspect. A theoretical model has been
introduced (Montague et al. 1996) where activity in the
cerebral cortex makes prediction about future rewards
and fluctuations in activity of mesencephalic DA neu-
rons could represent errors in these predictions that are
distributed to cortical and subcortical targets. The
model needs an hidden layer to have a temporal delay
that allows to rank the events according to their
temporal sequence. According to a new formulation of
this model spatial mismatch between terminals and
receptors and VT vs. WT transmission from source
neurons to target neurons could provide a simple and
physiologically consistent way to perform such a
computation without the need for a hidden layer.
Due to the different velocities of WT and VT the
signal at the receptor is correlated with the WT-signal
delivered at the source at an earlier time step. Thus,
the combined operations of VT and WT allow a very
effective morpho-functional organization of a circuitry
involved in a fundamental task in the brain, namely
in rewarding. This possible functional meaning of VT
can be added to the previous proposal of our and
other groups. As a matter of fact, it has been
suggested that VT can have a role in mood tone,
hunger, aggression, sleep, artistic performances (Fuxe
& Agnati 1991, Agnati & Fuxe 2000, Bach-y-Rita
2002). We have also proposed that VT could also
Figure 7 Schematic representation of the possible functional role of UCP2/3 in the Caudatus and nucleus Accumbens (shell part) in
favouring the VT. The scheme suggests the existence of compartments in the basal ganglia where VT signalling occurs and the
efficacy of this mode of intercellular communication is affected by the thermal gradients produced by UCP2/3. For further details see
text.
340 � 2006 Scandinavian Physiological Society, doi: 10.1111/j.1748-1716.2006.01579.x
Perspectives of volume transmission Æ L F Agnati et al. Acta Physiol 2006, 187, 329–344
play a role in learning and the mechanism allowing
such a learning could be simply a modulation of the
ECS channels between the sources and the targets of
the VT-signals. This proposal was based on Turing’s
B type unorganized machine (Turing 1936) that
Turing demonstrated capable of learning via a control
on the perviousness of the channels connecting the
computing elements of the network. Turing (1952)
proposed that a mechanism similar to the one of his
machine could be active in the first periods of human
neonatal life to allow learning of tasks at cerebral
cortex level. It is possible to surmise that a similar
mechanism can be in operation in some brain areas
also during the adult life representing a very effective
strategy for learning (Agnati et al. 2000).
Conclusions
In conclusion, the main theoretical aspects of our
proposal can be summarized as follows:
(1) In the brain as well as in any apparatus of the
organism two types of networks are strictly inter-
mingled: cellular networks and molecular networks
which interact at special sites of the cell mem-
branes. This has led us to propose the existence of a
GMN enmeshing the entire CNS.
(2) Two modes of communications are in operation in
the CNS and in any apparatus of the organism: the
VT and the WT. These two modes are in operation
at cellular network and molecular network level.
(3) VT and WT can be differentiated on the basis of
the characteristics of their communication channel.
(4) VT and WT have different characteristics and are
employed for different functions. However, in
some instances VT can play a vicarious role in
the presence of a WT deficit (see Bach-Y-Rita
2005).
(5) Diffusion of chemical VT-signals in the brain is
made possible by concentration gradients, and
convection of VT signals is favoured by thermal
Figure 8 Schematic representation of the possible different roles of UCP2/3 in the intercellular communication in the brain. Upper
panel: a UCP2/3 positive cell group which is the source of a chemical VT-signal can create a thermal gradient favouring the
migration of a wave of VT-signals towards a cell group that is target for that VT-signal. Middle panel: a group of UCP-positive
terminals can create a thermal gradient modulating WT and VT by enhancing the neuronal firing rate and hence the neurotrans-
mitter release. Lower panel: UCP at the level of a terminal bouton can produce a thermal signal that, at the level of special
membrane juxta-positions, is detected by biochemical reactions characterized by a high Q10 value, hence this localized thermal
gradient works as a WT-signal.
� 2006 Scandinavian Physiological Society, doi: 10.1111/j.1748-1716.2006.01579.x 341
Acta Physiol 2006, 187, 329–344 L F Agnati et al. Æ Perspectives of volume transmission
gradients (both produced by localized high neur-
onal firing and by UCP) and by the heart-produced
pressure waves within the skull (tide hypothesis).
Furthermore, the mechanical action of the piston-
like movements of the brain may induce the release
of ATP (Lazarowski et al. 2000, Neary et al. 2003)
which in turn can be degraded to ADE. Hence,
heart rhythm can affect the release of WT (ATP)
and VT (ADE) signals by neurons and astroglial
cells.
(6) The hypothesis is introduced that in some special-
ized membrane juxta-positions where UCP are
highly concentrated and biochemical reactions
with a high Q10 are also present, thermal signals
can by themselves operate as WT-signals. This
view is in agreement with recent investigations
demonstrating that UCP2 in the brain has a
localized action and not a global action on animal
metabolism since in knock-out mice no obesity or
reduced response to cold exposure (Arsenijevic
et al. 2000) could be demonstrated. It is therefore
likely that UCP2 is implicated in a local buffering
action of reactive oxygen species (Paradis et al.
2003) and, according to our hypothesis, it can
produce a highly localized thermal signal that may
represent a WT-signal.
(7) We have also proposed that VT could also play a
role in learning and the mechanism allowing such a
learning could be simply a modulation of the ECS
channels between the sources and the targets of the
VT-signals. This proposal was based on Turing’s B
type unorganized machine that Turing demonstra-
ted capable of learning via a control on the
perviousness of the channels connecting the com-
puting elements of the network (Agnati & Fuxe
2000).
In conclusion, this broad proposal on the communi-
cation processes in the CNS, on the interrelations
between cellular networks and molecular networks
and on the information handling by the CNS not only
conciliate the different views on the communication
processes in the brain, but also give a holistic frame to
this fundamental aspect of brain function. Thus, it is
our opinion that this broad theoretical view can suggest
new investigations and hence it may open up a new
understanding of brain physiology and pathology.
This work was supported by grant from IRCCS Istituto di
Neuroriabilitazione Motoria San Camillo, Venezia, Italy and
by grant from MIUR (PRIN 2004) Roma, Italy.
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