CORRECTION
Correction: The Vital Role of Blood FlowInduced Proliferation and Migration in
Capillary Network Formation in a Multiscale
Model of Angiogenesis
Hossein Bazmara, Madjid Soltani, Mostafa Sefidgar, Majid Bazargan, Mojtaba Mousavi
Naeenian, Arman Rahmim
A reference is omitted from the fourth sentence of the last paragraph in the Introduction. The
sentence should read: In addition, the heterogeneous ECM structure is considered at the cellular scale (Bauer, 2007).
The reference is: Bauer AL, A Multi-Scale Cell-Based Model to Simulate and Elucidate the
Mechanisms Controlling Tumor-Induced Angiogenesis. Ph.D. Thesis, The University of
Michigan. 2007.
Two references are omitted from the second sentence of the second paragraph under the
subheading “Growth and migration of ECs” in the Materials and Methods section. The sentence should read: The adhesion energy is computed as follows by [12,13]
X
Eadhesion ¼
Jt;t0 ð1
ds;s0 Þ
ð1Þ
sites
a1111111111
a1111111111
a1111111111
a1111111111
a1111111111
A reference is omitted from the fifth sentence of the fourth paragraph under the subheading
“Growth and migration of ECs” in the Materials and Methods section. The sentence should
read: The chemotactic contribution is [12]
X
EChemotaxis ¼
ws DV
ð3Þ
sites
OPEN ACCESS
Citation: Bazmara H, Soltani M, Sefidgar M,
Bazargan M, Mousavi Naeenian M, Rahmim A
(2017) Correction: The Vital Role of Blood FlowInduced Proliferation and Migration in Capillary
Network Formation in a Multiscale Model of
Angiogenesis. PLoS ONE 12(4): e0175601. https://
doi.org/10.1371/journal.pone.0175601
Published: April 6, 2017
Copyright: © 2017 Bazmara et al. This is an open
access article distributed under the terms of the
Creative Commons Attribution License, which
permits unrestricted use, distribution, and
reproduction in any medium, provided the original
author and source are credited.
where χσ is the effective chemical potential and ΔV is VEGF gradient.
Two references are omitted from the sixth sentence of the first paragraph under the subheading “Diffusion of TAFs in ECM” in the Materials and Methods section. The sentence
should read: VEGF distribution in the domain is governed by a partial differential equation,
which considers diffusion, decay, and uptake of VEGF [12]:
@V
¼ Dr2 V
@t
lV
Bðx; y; VÞ
ð6Þ
where V is VEGF concentration, D is diffusion coefficient of VEGF, λ is decay rate of VEGF,
and B is a function expressing VEGF binding to VEGFR2 [12, 13].
Two references are omitted from the third sentence of the second paragraph under the subheading “Diffusion of TAFs in ECM” in the Materials and Methods section. The sentence
should read: Assuming a rectangular domain, with a linear tumor in one side and a vessel in
the opposite side, the boundary and initial conditions are imposed [12,13].
PLOS ONE | https://doi.org/10.1371/journal.pone.0175601 April 6, 2017
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An acknowledgement was omitted from the article. The authors would like to show their
gratitude to Amy L. Bauer for sharing the ANGIO 2D (Bauer et al., 2007), a python-based code
for generating the ECM.
The reference is: Bauer AL, A Multi-Scale Cell-Based Model to Simulate and Elucidate the
Mechanisms Controlling Tumor-Induced Angiogenesis. Ph.D. Thesis, The University of
Michigan. 2007.
Reference
1.
Bazmara H, Soltani M, Sefidgar M, Bazargan M, Mousavi Naeenian M, Rahmim A (2015) The Vital
Role of Blood Flow-Induced Proliferation and Migration in Capillary Network Formation in a Multiscale
Model of Angiogenesis. PLoS ONE 10(6): e0128878. doi:10.1371/journal.pone.0128878 PMID:
26047145
PLOS ONE | https://doi.org/10.1371/journal.pone.0175601 April 6, 2017
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