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Cruz ASD, Drehmer MM, Baetas-da-Cruz W, Machado JC. Ultrasound biomicroscopy in the quantification of brain perfusion parameters of a rat stroke model: Analysis of contrast agent bolus kinetic dynamics. J Neurosci Methods 2024; 401:110005. [PMID: 37931754 DOI: 10.1016/j.jneumeth.2023.110005] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/28/2023] [Revised: 10/23/2023] [Accepted: 11/02/2023] [Indexed: 11/08/2023]
Abstract
BACKGROUND Ischemic stroke represents a significant global health concern, necessitating thorough investigations and the utilization of stroke animal models to explore novel treatment modalities and diagnostic imaging techniques. NEW METHOD Ultrasound biomicroscopy (BMU), operating at a center frequency of 21 MHz, along with ultrasound contrast agents (UCAs), was used to quantify microcirculation cerebral blood flow in a rat model of ischemic stroke. The microcirculation parameters were derived from time intensity curve (TIC) plots obtained based on UCA-bolus kinetics. RESULTS Semiquantitative perfusion-related parameters were assessed. The TIC curves showed differences in amplitude when compared intra-animal between the left and right sides, and three situations were observed: normal perfusion, hypoperfusion, and nonperfusion. ROC analysis of delays between the left and right time intensity peak (TIP) for regions of interest (ROIs) in the control and stroke-hypoperfusion groups revealed an optimal cutpoint of 0.39 s to indicate when hypoperfusion is occurring in rats, with a sensitivity of 93.33 % and a specificity of 80 %. COMPARISON WITH EXISTING METHOD(S) Ultrasound perfusion imaging through the temporal bone window has been clinically applied to stroke patients using a UCA bolus for TIC analysis. TIC parameters were correlated with MRI- and CT-based measurements. CONCLUSIONS This investigation quantified cerebral blood flow in a rat model of ischemic stroke by measuring microcirculation parameters. The study demonstrated the efficacy of this approach as a valuable tool for conducting preclinical studies.
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Affiliation(s)
- Aline Silva da Cruz
- Biomedical Engineering Program, COPPE, Federal University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil
| | - Maria Margarida Drehmer
- Post-Graduation Program in Surgical Sciences, Department of Surgery, School of Medicine, Federal University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil
| | - Wagner Baetas-da-Cruz
- Post-Graduation Program in Surgical Sciences, Department of Surgery, School of Medicine, Federal University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil
| | - João Carlos Machado
- Biomedical Engineering Program, COPPE, Federal University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil; Post-Graduation Program in Surgical Sciences, Department of Surgery, School of Medicine, Federal University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil.
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2
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Zheng H, Niu L, Qiu W, Liang D, Long X, Li G, Liu Z, Meng L. The Emergence of Functional Ultrasound for Noninvasive Brain-Computer Interface. RESEARCH (WASHINGTON, D.C.) 2023; 6:0200. [PMID: 37588619 PMCID: PMC10427153 DOI: 10.34133/research.0200] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/13/2023] [Accepted: 07/04/2023] [Indexed: 08/18/2023]
Abstract
A noninvasive brain-computer interface is a central task in the comprehensive analysis and understanding of the brain and is an important challenge in international brain-science research. Current implanted brain-computer interfaces are cranial and invasive, which considerably limits their applications. The development of new noninvasive reading and writing technologies will advance substantial innovations and breakthroughs in the field of brain-computer interfaces. Here, we review the theory and development of the ultrasound brain functional imaging and its applications. Furthermore, we introduce latest advancements in ultrasound brain modulation and its applications in rodents, primates, and human; its mechanism and closed-loop ultrasound neuromodulation based on electroencephalograph are also presented. Finally, high-frequency acoustic noninvasive brain-computer interface is prospected based on ultrasound super-resolution imaging and acoustic tweezers.
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Affiliation(s)
- Hairong Zheng
- Institute of Biomedical and Health Engineering, Shenzhen Institutes of Advanced Technology,
Chinese Academy of Sciences, Shenzhen, 518055, China
| | - Lili Niu
- Institute of Biomedical and Health Engineering, Shenzhen Institutes of Advanced Technology,
Chinese Academy of Sciences, Shenzhen, 518055, China
| | - Weibao Qiu
- Institute of Biomedical and Health Engineering, Shenzhen Institutes of Advanced Technology,
Chinese Academy of Sciences, Shenzhen, 518055, China
| | - Dong Liang
- Institute of Biomedical and Health Engineering, Shenzhen Institutes of Advanced Technology,
Chinese Academy of Sciences, Shenzhen, 518055, China
| | - Xiaojing Long
- Institute of Biomedical and Health Engineering, Shenzhen Institutes of Advanced Technology,
Chinese Academy of Sciences, Shenzhen, 518055, China
| | - Guanglin Li
- Shenzhen Institute of Advanced Integration Technology, Chinese Academy of Sciences and The Chinese University of Hong Kong, Shenzhen, 518055, China
| | - Zhiyuan Liu
- Shenzhen Institute of Advanced Integration Technology, Chinese Academy of Sciences and The Chinese University of Hong Kong, Shenzhen, 518055, China
| | - Long Meng
- Institute of Biomedical and Health Engineering, Shenzhen Institutes of Advanced Technology,
Chinese Academy of Sciences, Shenzhen, 518055, China
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3
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Yongyue Z, Yang S, Li Z, Rongjin Z, Shumin W. Functional Brain Imaging Based on the Neurovascular Unit for Evaluating Neural Networks after Strok. ADVANCED ULTRASOUND IN DIAGNOSIS AND THERAPY 2022. [DOI: 10.37015/audt.2022.210033] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022] Open
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4
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Heiles B, Terwiel D, Maresca D. The Advent of Biomolecular Ultrasound Imaging. Neuroscience 2021; 474:122-133. [PMID: 33727074 DOI: 10.1016/j.neuroscience.2021.03.011] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2020] [Revised: 03/04/2021] [Accepted: 03/05/2021] [Indexed: 12/23/2022]
Abstract
Ultrasound imaging is one of the most widely used modalities in clinical practice, revealing human prenatal development but also arterial function in the adult brain. Ultrasound waves travel deep within soft biological tissues and provide information about the motion and mechanical properties of internal organs. A drawback of ultrasound imaging is its limited ability to detect molecular targets due to a lack of cell-type specific acoustic contrast. To date, this limitation has been addressed by targeting synthetic ultrasound contrast agents to molecular targets. This molecular ultrasound imaging approach has proved to be successful but is restricted to the vascular space. Here, we introduce the nascent field of biomolecular ultrasound imaging, a molecular imaging approach that relies on genetically encoded acoustic biomolecules to interface ultrasound waves with cellular processes. We review ultrasound imaging applications bridging wave physics and chemical engineering with potential for deep brain imaging.
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Affiliation(s)
- Baptiste Heiles
- Department of Imaging Physics, Delft University of Technology, Delft, The Netherlands
| | - Dion Terwiel
- Department of Imaging Physics, Delft University of Technology, Delft, The Netherlands
| | - David Maresca
- Department of Imaging Physics, Delft University of Technology, Delft, The Netherlands.
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5
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Demené C, Mairesse J, Baranger J, Tanter M, Baud O. Ultrafast Doppler for neonatal brain imaging. Neuroimage 2019; 185:851-856. [DOI: 10.1016/j.neuroimage.2018.04.016] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/12/2017] [Revised: 04/03/2018] [Accepted: 04/08/2018] [Indexed: 12/18/2022] Open
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6
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Deffieux T, Demene C, Pernot M, Tanter M. Functional ultrasound neuroimaging: a review of the preclinical and clinical state of the art. Curr Opin Neurobiol 2018; 50:128-135. [PMID: 29477979 DOI: 10.1016/j.conb.2018.02.001] [Citation(s) in RCA: 96] [Impact Index Per Article: 16.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/09/2017] [Revised: 02/01/2018] [Accepted: 02/03/2018] [Indexed: 12/15/2022]
Abstract
In the last decade, ultrasound imaging has gained new capabilities and produced new insights in the field of neuroscience. The development of new concepts, such as ultrafast ultrasound, has enhanced Doppler sensitivity by orders of magnitude and has paved the way for ultrasonic functional neuroimaging. In this review, we position ultrasound in the field of neuroimaging and discuss how it complements current tools available to neurobiologists and clinicians.
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Affiliation(s)
- Thomas Deffieux
- Institut Langevin, CNRS, ESPCI Paris, Inserm, PSL Research University, Paris, France; Inserm Technology Research Accelerator in Biomedical Ultrasound, Paris, France
| | - Charlie Demene
- Institut Langevin, CNRS, ESPCI Paris, Inserm, PSL Research University, Paris, France; Inserm Technology Research Accelerator in Biomedical Ultrasound, Paris, France
| | - Mathieu Pernot
- Institut Langevin, CNRS, ESPCI Paris, Inserm, PSL Research University, Paris, France; Inserm Technology Research Accelerator in Biomedical Ultrasound, Paris, France
| | - Mickael Tanter
- Institut Langevin, CNRS, ESPCI Paris, Inserm, PSL Research University, Paris, France; Inserm Technology Research Accelerator in Biomedical Ultrasound, Paris, France.
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Mufamadi MS, Choonara YE, Kumar P, du Toit LC, Modi G, Naidoo D, Iyuke SE, Pillay V. Functionalized Nanolipobubbles Embedded Within a Nanocomposite Hydrogel: a Molecular Bio-imaging and Biomechanical Analysis of the System. AAPS PharmSciTech 2017; 18:671-685. [PMID: 27188761 DOI: 10.1208/s12249-016-0541-z] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2016] [Accepted: 04/23/2016] [Indexed: 11/30/2022] Open
Abstract
The purpose of this study was to explore the use of molecular bio-imaging systems and biomechanical dynamics to elucidate the fate of a nanocomposite hydrogel system prepared by merging FITC-labeled nanolipobubbles within a cross-linked hydrogel network. The nanocomposite hydrogel system was characterized by size distribution analysis and zeta potential as well as shears thinning behavior, elastic modulus (G'), viscous loss moduli (G"), TEM, and FTIR. In addition, molecular bio-imaging via Vevo ultrasound and Cell-viZio techniques evaluated the stability and distribution of the nanolipobubbles within the cross-linked hydrogel. FITC-labeled and functionalized nanolipobubbles had particle sizes between 135 and 158 nm (PdI = 0.129 and 0.190) and a zeta potential of -34 mV. TEM and ultrasound imaging revealed the uniformity and dimensional stability of the functionalized nanolipobubbles pre- and post-embedment into the cross-linked hydrogel. Biomechanical characterization of the hydrogel by shear thinning behavior was governed by the polymer concentration and the cross-linker, glutaraldehyde. Ultrasound analysis and Cell-viZio bio-imaging were highly suitable to visualize the fluorescent image-guided nanolipobubbles and their morphology post-embedment into the hydrogel to form the NanoComposite system. Since the nanocomposite is intended for targeted treatment of neurodegenerative disorders, the distribution of the functionalized nanolipobubbles into PC12 neuronal cells was also ascertained via confocal microscopy. Results demonstrated effective release and localization of the nanolipobubbles within PC12 neuronal cells. The molecular structure of the synthetic surface peptide remained intact for an extended period to ensure potency for targeted delivery from the hydrogel ex vivo. These findings provide further insight into the properties of nanocomposite hydrogels for specialized drug delivery.
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8
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Errico C, Osmanski BF, Pezet S, Couture O, Lenkei Z, Tanter M. Transcranial functional ultrasound imaging of the brain using microbubble-enhanced ultrasensitive Doppler. Neuroimage 2015; 124:752-761. [PMID: 26416649 PMCID: PMC4686564 DOI: 10.1016/j.neuroimage.2015.09.037] [Citation(s) in RCA: 72] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2015] [Revised: 08/13/2015] [Accepted: 09/14/2015] [Indexed: 11/15/2022] Open
Abstract
Functional ultrasound (fUS) is a novel neuroimaging technique, based on high-sensitivity ultrafast Doppler imaging of cerebral blood volume, capable of measuring brain activation and connectivity in rodents with high spatiotemporal resolution (100 μm, 1 ms). However, the skull attenuates acoustic waves, so fUS in rats currently requires craniotomy or a thinned-skull window. Here we propose a non-invasive approach by enhancing the fUS signal with a contrast agent, inert gas microbubbles. Plane-wave illumination of the brain at high frame rate (500 Hz compounded sequence with three tilted plane waves, PRF = 1500Hz with a 128 element 15 MHz linear transducer), yields highly-resolved neurovascular maps. We compared fUS imaging performance through the intact skull bone (transcranial fUS) versus a thinned-skull window in the same animal. First, we show that the vascular network of the adult rat brain can be imaged transcranially only after a bolus intravenous injection of microbubbles, which leads to a 9 dB gain in the contrast-to-tissue ratio. Next, we demonstrate that functional increase in the blood volume of the primary sensory cortex after targeted electrical-evoked stimulations of the sciatic nerve is observable transcranially in presence of contrast agents, with high reproducibility (Pearson's coefficient ρ = 0.7 ± 0.1, p = 0.85). Our work demonstrates that the combination of ultrafast Doppler imaging and injection of contrast agent allows non-invasive functional brain imaging through the intact skull bone in rats. These results should ease non-invasive longitudinal studies in rodents and open a promising perspective for the adoption of highly resolved fUS approaches for the adult human brain. We combined ultrafast sensitive Doppler with contrast-enhanced ultrasound imaging. We retrieved highly-resolved neurovascular transcranial maps with contrast agents. The presence of microbubbles compensates for the attenuation from the skull. fUS is sensitive to the local hyperemia in the rat brain through the skull with microbubbles. Transcranial fUS imaging allows non-invasive functional brain studies in rodents.
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Affiliation(s)
- Claudia Errico
- INSERM, Institut Langevin, 1 rue Jussieu, 75005, Paris, France; ESPCI ParisTech, PSL Research University, Institut Langevin, 1 rue Jussieu, 75005, Paris, France; CNRS, Institut Langevin, 1 rue Jussieu, 75005, Paris, France
| | - Bruno-Félix Osmanski
- INSERM, Institut Langevin, 1 rue Jussieu, 75005, Paris, France; ESPCI ParisTech, PSL Research University, Institut Langevin, 1 rue Jussieu, 75005, Paris, France; CNRS, Institut Langevin, 1 rue Jussieu, 75005, Paris, France
| | - Sophie Pezet
- CNRS, UMR 8249, 10 rue Vauquelin, 75005 Paris, France; Brain Plasticity Unit, ESPCI-ParisTech, PSL Research University 10 rue Vauquelin, 75005 Paris, France
| | - Olivier Couture
- INSERM, Institut Langevin, 1 rue Jussieu, 75005, Paris, France; ESPCI ParisTech, PSL Research University, Institut Langevin, 1 rue Jussieu, 75005, Paris, France; CNRS, Institut Langevin, 1 rue Jussieu, 75005, Paris, France
| | - Zsolt Lenkei
- CNRS, UMR 8249, 10 rue Vauquelin, 75005 Paris, France; Brain Plasticity Unit, ESPCI-ParisTech, PSL Research University 10 rue Vauquelin, 75005 Paris, France
| | - Mickael Tanter
- INSERM, Institut Langevin, 1 rue Jussieu, 75005, Paris, France; ESPCI ParisTech, PSL Research University, Institut Langevin, 1 rue Jussieu, 75005, Paris, France; CNRS, Institut Langevin, 1 rue Jussieu, 75005, Paris, France.
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9
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Urban A, Mace E, Brunner C, Heidmann M, Rossier J, Montaldo G. Chronic assessment of cerebral hemodynamics during rat forepaw electrical stimulation using functional ultrasound imaging. Neuroimage 2014; 101:138-49. [PMID: 25008960 DOI: 10.1016/j.neuroimage.2014.06.063] [Citation(s) in RCA: 41] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/08/2014] [Revised: 06/10/2014] [Accepted: 06/27/2014] [Indexed: 01/29/2023] Open
Abstract
Functional ultrasound imaging is a method recently developed to assess brain activity via hemodynamics in rodents. Doppler ultrasound signals allow the measurement of cerebral blood volume (CBV) and red blood cells' (RBCs') velocity in small vessels. However, this technique originally requires performing a large craniotomy that limits its use to acute experiments only. Moreover, a detailed description of the hemodynamic changes that underlie functional ultrasound imaging has not been described but is essential for a better interpretation of neuroimaging data. To overcome the limitation of the craniotomy, we developed a dedicated thinned skull surgery for chronic imaging. This procedure did not induce brain inflammation nor neuronal death as confirmed by immunostaining. We successfully acquired both high-resolution images of the microvasculature and functional movies of the brain hemodynamics on the same animal at 0, 2, and 7 days without loss of quality. Then, we investigated the spatiotemporal evolution of the CBV hemodynamic response function (HRF) in response to sensory-evoked electrical stimulus (1 mA) ranging from 1 (200 μs) to 25 pulses (5s). Our results indicate that CBV HRF parameters such as the peak amplitude, the time to peak, the full width at half-maximum and the spatial extent of the activated area increase with stimulus duration. Functional ultrasound imaging was sensitive enough to detect hemodynamic responses evoked by only a single pulse stimulus. We also observed that the RBC velocity during activation could be separated in two distinct speed ranges with the fastest velocities located in the upper part of the cortex and slower velocities in deeper layers. For the first time, functional ultrasound imaging demonstrates its potential to image brain activity chronically in small animals and offers new insights into the spatiotemporal evolution of cerebral hemodynamics.
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Affiliation(s)
- Alan Urban
- Université Paris Descartes Sorbonne Paris Cité, Centre de Psychiatrie et Neurosciences, INSERM S894, Centre Hospitalier Sainte-Anne, Paris, France.
| | - Emilie Mace
- 1A Allée des bois de Gagny, 93340 Le Raincy, France
| | - Clément Brunner
- Université Paris Descartes Sorbonne Paris Cité, Centre de Psychiatrie et Neurosciences, INSERM S894, Centre Hospitalier Sainte-Anne, Paris, France
| | - Marc Heidmann
- Université Paris Descartes Sorbonne Paris Cité, Centre de Psychiatrie et Neurosciences, INSERM S894, Centre Hospitalier Sainte-Anne, Paris, France
| | - Jean Rossier
- Université Paris Descartes Sorbonne Paris Cité, Centre de Psychiatrie et Neurosciences, INSERM S894, Centre Hospitalier Sainte-Anne, Paris, France
| | - Gabriel Montaldo
- Université Paris Descartes Sorbonne Paris Cité, Centre de Psychiatrie et Neurosciences, INSERM S894, Centre Hospitalier Sainte-Anne, Paris, France
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10
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Mace E, Montaldo G, Osmanski BF, Cohen I, Fink M, Tanter M. Functional ultrasound imaging of the brain: theory and basic principles. IEEE TRANSACTIONS ON ULTRASONICS, FERROELECTRICS, AND FREQUENCY CONTROL 2013; 60:492-506. [PMID: 23475916 DOI: 10.1109/tuffc.2013.2592] [Citation(s) in RCA: 146] [Impact Index Per Article: 13.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
Hemodynamic changes in the brain are often used as surrogates of neuronal activity to infer the loci of brain activity. A major limitation of conventional Doppler ultrasound for the imaging of these changes is that it is not sensitive enough to detect the blood flow in small vessels where the major part of the hemodynamic response occurs. Here, we present a μDoppler ultrasound method able to detect and map the cerebral blood volume (CBV) over the entire brain with an important increase in sensitivity. This method is based on imaging the brain at an ultrafast frame rate (1 kHz) using compounded plane wave emissions. A theoretical model demonstrates that the gain in sensitivity of the μDoppler method is due to the combination of 1) the high signal-to-noise ratio of the gray scale images, resulting from the synthetic compounding of backscattered echoes; and 2) the extensive signal averaging enabled by the high temporal sampling of ultrafast frame rates. This μDoppler imaging is performed in vivo on trepanned rats without the use of contrast agents. The resulting images reveal detailed maps of the rat brain vascularization with an acquisition time as short as 320 ms per slice. This new method is the basis for a real-time functional ultrasound (fUS) imaging of the brain.
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Affiliation(s)
- Emilie Mace
- Institut Langevin, CNRS UMR7587, Inserm U979, Université Paris VII, Ecole Superieure de Physique et de Chimie Industrielles de Paris, Paris, France.
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Lindvere L, Janik R, Dorr A, Chartash D, Sahota B, Sled JG, Stefanovic B. Cerebral microvascular network geometry changes in response to functional stimulation. Neuroimage 2013; 71:248-59. [PMID: 23353600 DOI: 10.1016/j.neuroimage.2013.01.011] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2012] [Revised: 01/02/2013] [Accepted: 01/08/2013] [Indexed: 01/28/2023] Open
Abstract
The cortical microvessels are organized in an intricate, hierarchical, three-dimensional network. Superimposed on this anatomical complexity is the highly complicated signaling that drives the focal blood flow adjustments following a rise in the activity of surrounding neurons. The microvascular response to neuronal activation remains incompletely understood. We developed a custom two photon fluorescence microscopy acquisition and analysis to obtain 3D maps of neuronal activation-induced changes in the geometry of the microvascular network of the primary somatosensory cortex of anesthetized rats. An automated, model-based tracking algorithm was employed to reconstruct the 3D microvascular topology and represent it as a graph. The changes in the geometry of this network were then tracked, over time, in the course of electrical stimulation of the contralateral forepaw. Both dilatory and constrictory responses were observed across the network. Early dilatory and late constrictory responses propagated from deeper to more superficial cortical layers while the response of the vertices that showed initial constriction followed by later dilation spread from cortical surface toward increasing cortical depths. Overall, larger caliber adjustments were observed deeper inside the cortex. This work yields the first characterization of the spatiotemporal pattern of geometric changes on the level of the cortical microvascular network as a whole and provides the basis for bottom-up modeling of the hemodynamically-weighted neuroimaging signals.
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Affiliation(s)
- Liis Lindvere
- Imaging Research, Sunnybrook Research Institute, 2075 Bayview Avenue, Toronto, ON, Canada M4N 3M5
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van Raaij ME, Lindvere L, Dorr A, He J, Sahota B, Foster FS, Stefanovic B. Quantification of blood flow and volume in arterioles and venules of the rat cerebral cortex using functional micro-ultrasound. Neuroimage 2012; 63:1030-7. [DOI: 10.1016/j.neuroimage.2012.07.054] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/24/2012] [Revised: 07/19/2012] [Accepted: 07/23/2012] [Indexed: 10/28/2022] Open
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