PLoS Computational Biology,
Journal Year:
2019,
Volume and Issue:
15(6), P. e1007073 - e1007073
Published: June 25, 2019
A
large
variety
of
severe
medical
conditions
involve
alterations
in
microvascular
circulation.
Hence,
measurements
or
simulation
circulation
and
perfusion
has
considerable
clinical
value
can
be
used
for
diagnostics,
evaluation
treatment
efficacy,
surgical
planning.
However,
the
accuracy
traditional
tracer
kinetic
one-compartment
models
is
limited
due
to
scale
dependency.
As
a
remedy,
we
propose
invariant
mathematical
framework
simulating
whole
brain
perfusion.
The
suggested
based
on
segmentation
anatomical
geometry
down
imaging
voxel
resolution.
Large
vessels
arterial
venous
network
are
identified
from
time-of-flight
(ToF)
quantitative
susceptibility
mapping
(QSM).
Macro-scale
flow
large-vessel-network
accurately
modelled
using
Hagen-Poiseuille
equation,
whereas
capillary
treated
as
two-compartment
porous
media
flow.
coupled
with
micro-scale
by
spatially
distributing
support
function
terminal
endings.
Perfusion
defined
transition
fluid
compartment.
We
demonstrate
propagation
realistic
geometric
model
human
brain,
where
comprises
distinct
areas
grey
white
matter,
well
vascular
network.
Our
proposed
an
accurate
viable
alternative
compartment
models,
high
relevance
also
restoration
field
parameters
applications.
PLoS Computational Biology,
Journal Year:
2021,
Volume and Issue:
17(1), P. e1008584 - e1008584
Published: Jan. 28, 2021
Departures
of
normal
blood
flow
and
metabolite
distribution
from
the
cerebral
microvasculature
into
neuronal
tissue
have
been
implicated
with
age-related
neurodegeneration.
Mathematical
models
informed
by
spatially
temporally
distributed
neuroimage
data
are
becoming
instrumental
for
reconstructing
a
coherent
picture
pathological
oxygen
delivery
throughout
brain.
Unfortunately,
current
mathematical
exchange
become
excessively
large
in
size.
They
further
suffer
boundary
effects
due
to
incomplete
or
physiologically
inaccurate
computational
domains,
numerical
instabilities
enormous
length
scale
differences,
convergence
problems
associated
condition
number
deterioration
at
fine
mesh
resolutions.
Our
proposed
simple
finite
volume
discretization
scheme
microperfusion
simulations
does
not
require
expensive
generation
leading
critical
benefit
that
it
drastically
reduces
matrix
size
bandwidth
coupled
transfer
problem.
The
compact
problem
formulation
yields
rapid
stable
convergence.
Moreover,
can
effectively
be
suppressed
generating
very
replica
cortical
microcirculation
silico
using
an
image-based
cerebrovascular
network
synthesis
algorithm,
so
boundaries
perfusion
far
removed
regions
interest.
Massive
over
sizeable
portions
cortex
feature
resolution
down
micron
tractable
even
modest
computer
resources.
feasibility
accuracy
novel
method
is
demonstrated
validated
vivo
cohorts
young
aged
mice.
quantify
steep
gradients
near
penetrating
vessels
point
towards
changes
might
cause
neurodegeneration
brains.
This
research
aims
explain
mechanistic
interactions
between
anatomical
structures
how
they
change
diseases
age.
Rigorous
quantification
significant
interest
because
aide
search
imaging
biomarkers
dementia
Alzheimer’s
disease.
Microcirculation,
Journal Year:
2021,
Volume and Issue:
28(5)
Published: Feb. 22, 2021
Recent
advancements
in
multiphoton
imaging
and
vascular
reconstruction
algorithms
have
increased
the
amount
of
data
on
cerebrovascular
circulation
for
statistical
analysis
hemodynamic
simulations.
Experimental
observations
offer
fundamental
insights
into
capillary
network
topology
but
mainly
within
a
narrow
field
view
typically
spanning
small
fraction
cortical
surface
(less
than
2%).
In
contrast,
larger-resolution
modalities,
such
as
computed
tomography
(CT)
or
magnetic
resonance
(MRI),
whole-brain
coverage
capture
only
larger
blood
vessels,
overlooking
microscopic
bed.
To
integrate
acquired
at
multiple
length
scales
with
different
neuroimaging
modalities
to
reconcile
brain-wide
macroscale
information
microscale
data,
we
developed
method
synthesizing
hemodynamically
equivalent
networks
entire
cerebral
circulation.
This
computational
approach
is
intended
aid
quantification
patterns
flow
metabolism
brain.
part
I,
described
mathematical
framework
image-guided
generation
synthetic
covering
large
arteries
from
circle
Willis
through
pial
leading
back
venous
sinuses.
Here
II,
introduce
novel
procedures
creating
microcirculatory
closure
that
mimics
realistic
We
demonstrate
our
capability
synthesize
whose
morphometrics
match
empirical
graphs
three
independent
state-of-the-art
laboratories
using
image
acquisition
protocols.
also
successfully
synthesized
twelve
complete
mouse
brain
hemisphere
suitable
performing
Synthetic
arterial
microvascular
allow
predictions.
Simulations
across
all
will
potentially
illuminate
organ-wide
supply
metabolic
functions
are
inaccessible
models
reconstructed
limited
spatial
coverage.
IIUM Engineering Journal,
Journal Year:
2025,
Volume and Issue:
26(1), P. 437 - 449
Published: Jan. 10, 2025
Mathematical
models
are
developed
to
further
understand
ischaemic
stroke
formation
and
achieve
treatment
effectiveness.
The
existing
poroelastic
model
of
the
brain
assumed
as
a
homogenized
structure
with
uniform
capillary
distribution.
This
paper
describes
use
multiscale
modeling
technique
known
asymptotic
expansion
homogenization
(AEH)
derive
new
tissue.
consists
governing
macroscale
effective
parameters
determined
from
microscale
cell
equations.
equations
solved
on
representative
volume
element
(RVE)
comprising
tissue
embedded
capillary.
Here,
effect
tortuosity
radius
parameters,
which
hydraulic
conductivity
interstitial
space
(K
G),
homogenous
Biot's
coefficient
blood
(?c?
?t?),
Young's
modulus
Poisson's
ratio
investigated.
From
results,
it
is
found
that
percentage
difference
K
97.98%
increasing
tortuosity,
suggests
significantly
influenced
by
shape
In
contrast,
G
only
0.25%,
showing
unaffected
Meanwhile,
?c?
?t
decrease
increase
respectively.
Both
E
?
not
affected
for
each
just
0.14%
0.03%,
terms
radius,
increases
decreases
radius.
while
?t?
shows
opposite
trend.
differences
18.26%
14.55%
observed
E?
?,
respectively,
implying
both
conclusion,
including
capillaries
in
affects
parameters.
Hence,
important
properties
capillary,
size,
should
be
carefully
emphasized
so
accurate
findings
can
obtained
when
solving
brain.
ABSTRAK:
Model
matematik
dibangunkan
untuk
mendapatkan
pemahaman
lanjut
tentang
pembentukan
strok
iskemia
supaya
keberkesanan
rawatan
dapat
dicapai.
poroelastik
otak
yang
sedia
ada
menganggap
sebagai
struktur
homogen
dengan
taburan
kapilari
seragam.
Makalah
ini
menerangkan
penggunaan
teknik
pemodelan
multiskala
dikenali
penghomogenan
pengembangan
asimtotik
(PPA)
memperoleh
baharu
tisu
otak.
terdiri
daripada
satu
set
skala
makro
pentadbir
parameter
berkesan
ditentukan
persamaan
sel
mikro.
Persamaan
mikro
diselesaikan
pada
unsur
isipadu
perwakilan
tertanam.
Di
sini,
kesan
kelikuan
dan
jejari
berkesan,
iaitu
kekonduksian
hidraulik
ruang
celahan
pekali
Biot
bagi
darah
Young
(E)
nisbah
Poisson
(?),
akan
diselidiki.
Daripada
keputusan
diperoleh,
didapati
perbezaan
peratusan
ialah
peningkatan
kelikuan,
menunjukkan
bahawa
dipengaruhi
oleh
bentuk
secara
signifikan.
Manakala
hanyalah
ia
tidak
kelikuan.
Sementara
itu,
masing-masing
menurun
meningkat
Kedua-dua
terjejas
ketara
kerana
setiap
hanya
0.03%.
Dari
segi
pula,
bertambah
berkurangan
pertambahan
jejari.
?c
jejari,
manakala
sebaliknya.
Peratusan
diperhatikan
kedua-dua
kapilari.
Kesimpulannya,
kemasukan
dalam
mempunyai
terhadap
berkesan.
Oleh
sifat
penting
termasuk
saiz
harus
ditekankan
teliti
penemuan
tepat
boleh
diperolehi
apabila
menyelesaikan
PLoS Computational Biology,
Journal Year:
2019,
Volume and Issue:
15(6), P. e1007073 - e1007073
Published: June 25, 2019
A
large
variety
of
severe
medical
conditions
involve
alterations
in
microvascular
circulation.
Hence,
measurements
or
simulation
circulation
and
perfusion
has
considerable
clinical
value
can
be
used
for
diagnostics,
evaluation
treatment
efficacy,
surgical
planning.
However,
the
accuracy
traditional
tracer
kinetic
one-compartment
models
is
limited
due
to
scale
dependency.
As
a
remedy,
we
propose
invariant
mathematical
framework
simulating
whole
brain
perfusion.
The
suggested
based
on
segmentation
anatomical
geometry
down
imaging
voxel
resolution.
Large
vessels
arterial
venous
network
are
identified
from
time-of-flight
(ToF)
quantitative
susceptibility
mapping
(QSM).
Macro-scale
flow
large-vessel-network
accurately
modelled
using
Hagen-Poiseuille
equation,
whereas
capillary
treated
as
two-compartment
porous
media
flow.
coupled
with
micro-scale
by
spatially
distributing
support
function
terminal
endings.
Perfusion
defined
transition
fluid
compartment.
We
demonstrate
propagation
realistic
geometric
model
human
brain,
where
comprises
distinct
areas
grey
white
matter,
well
vascular
network.
Our
proposed
an
accurate
viable
alternative
compartment
models,
high
relevance
also
restoration
field
parameters
applications.