White matter tract transcranial ultrasound stimulation, a computational study

Low-intensity transcranial ultrasound stimulation (TUS) is poised to become one of the most promising treatments for neurological disorders. However, while recent animal model experiments have successfully quantified the alterations of the functional activity coupling between a sonicated target cortical region and other cortical regions of interest (ROIs), the varying degree of alteration between these different connections remains unexplained. We hypothesise here that the incidental sonication of the tracts leaving the target region towards the different ROIs could participate in explaining these differences. To this end, we propose a tissue level phenomenological numerical model of the coupling between the ultrasound waves and the white matter electrical activity. The model is then used to reproduce in silico the sonication of the anterior cingulate cortex (ACC) of a macaque monkey and measure the neuromodulation power within the white matter tracts leaving the ACC for five cortical ROIs. The results show that the more induced power a white matter tract proximal to the ACC and connected to a secondary ROI receives, the more altered the connectivity fingerprint of the ACC to this region will be after sonication. These results point towards the need to isolate the sonication to the cortical region and minimise the spillage on the neighbouring tracts when aiming at modulating the target region without losing the functional connectivity with other ROIs. Those results further emphasise the potential role of the white matter in TUS and the need to account for white matter topology when designing TUS protocols.

[1]  Martin O Culjat,et al.  A review of tissue substitutes for ultrasound imaging. , 2010, Ultrasound in medicine & biology.

[2]  D. Mantini,et al.  What is special about the human arcuate fasciculus? Lateralization, projections, and expansion , 2019, Cortex.

[3]  G. Genin,et al.  Measurements of mechanical anisotropy in brain tissue and implications for transversely isotropic material models of white matter. , 2013, Journal of the mechanical behavior of biomedical materials.

[4]  K. Tamm,et al.  On the complexity of signal propagation in nerve fibres , 2018 .

[5]  Jong-Hwan Lee,et al.  Focused ultrasound modulates region-specific brain activity , 2011, NeuroImage.

[6]  M. Stebbing,et al.  Bioelectric neuromodulation for gastrointestinal disorders: effectiveness and mechanisms , 2018, Nature Reviews Gastroenterology & Hepatology.

[7]  Suzanne N Haber,et al.  Rules Ventral Prefrontal Cortical Axons Use to Reach Their Targets: Implications for Diffusion Tensor Imaging Tractography and Deep Brain Stimulation for Psychiatric Illness , 2011, The Journal of Neuroscience.

[8]  P. Sharma,et al.  Flexoelectricity in soft materials and biological membranes , 2014 .

[9]  Evan R. Rogers,et al.  Neuromodulation using ultra low frequency current waveform reversibly blocks axonal conduction and chronic pain , 2021, Science Translational Medicine.

[10]  Karla L. Miller,et al.  The extreme capsule fiber complex in humans and macaque monkeys: a comparative diffusion MRI tractography study , 2015, Brain Structure and Function.

[11]  Ahmed El Hady,et al.  Mechanical surface waves accompany action potential propagation , 2014, Nature Communications.

[12]  A. Jérusalem,et al.  Energy based mechano-electrophysiological model of CNS damage at the tissue scale , 2019, Journal of the Mechanics and Physics of Solids.

[13]  Gregory T. Clement,et al.  Perspectives in clinical uses of high-intensity focused ultrasound. , 2004, Ultrasonics.

[14]  Q. He,et al.  The number and types of all possible rotational symmetries for flexoelectric tensors , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[15]  Q. Deng,et al.  Apparent flexoelectricity in lipid bilayer membranes due to external charge and dipolar distributions. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  J. Peña,et al.  Machine learning based multiscale calibration of mesoscopic constitutive models for composite materials: application to brain white matter , 2021, Computational Mechanics.

[17]  Corina S. Drapaca An electromechanical model of neuronal dynamics using Hamilton's principle , 2015, Front. Cell. Neurosci..

[18]  Pavlo Zubko,et al.  Flexoelectric Effect in Solids , 2013 .

[19]  A. Jérusalem,et al.  Computational model of the mechanoelectrophysiological coupling in axons with application to neuromodulation. , 2019, Physical review. E.

[20]  Xiaoyong Wei,et al.  Symmetry of flexoelectric coefficients in crystalline medium , 2011 .

[21]  A. Petrov,et al.  Flexoelectricity of model and living membranes. , 2002, Biochimica et biophysica acta.

[22]  B T Cox,et al.  k-Wave: MATLAB toolbox for the simulation and reconstruction of photoacoustic wave fields. , 2010, Journal of biomedical optics.

[23]  R. Rabbitt,et al.  Hair Cell Bundles: Flexoelectric Motors of the Inner Ear , 2009, PloS one.

[24]  Ludovico Minati,et al.  Physical foundations, models, and methods of diffusion magnetic resonance imaging of the brain: A review , 2007 .

[25]  P. Usherwood,et al.  Flexoelectric effects in model and native membranes containing ion channels , 2004, European Biophysics Journal.

[26]  Philip G. F. Browning,et al.  Causal effect of disconnection lesions on interhemispheric functional connectivity in rhesus monkeys , 2013, Proceedings of the National Academy of Sciences.

[27]  Alexander G. Petrov,et al.  Flexoelectricity of Charged and Dipolar Bilayer Lipid Membranes Studied by Stroboscopic Interferometry , 1994 .

[28]  T. Heimburg,et al.  On soliton propagation in biomembranes and nerves. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[29]  K Kusano,et al.  Rapid mechanical and thermal changes in the garfish olfactory nerve associated with a propagated impulse. , 1989, Biophysical journal.

[30]  Huajian Gao,et al.  An electromechanical liquid crystal model of vesicles , 2008 .

[31]  A. Lozano,et al.  Deep Brain Stimulation for Treatment-Resistant Depression , 2005, Neuron.

[32]  Clement Hamani,et al.  The Subcallosal Cingulate Gyrus in the Context of Major Depression , 2011, Biological Psychiatry.

[33]  William J. Tyler,et al.  Transcranial focused ultrasound: a new tool for non-invasive neuromodulation , 2017, International review of psychiatry.

[34]  Jürgen Götz,et al.  Ultrasound treatment of neurological diseases — current and emerging applications , 2016, Nature Reviews Neurology.

[35]  P. Sharma,et al.  Flexoelectricity and thermal fluctuations of lipid bilayer membranes: Renormalization of flexoelectric, dielectric, and elastic properties , 2013 .

[36]  R. Mars,et al.  Dichotomous organization of amygdala/temporal-prefrontal bundles in both humans and monkeys , 2019, eLife.

[37]  J. Latikka,et al.  Conductivity of living intracranial tissues. , 2001, Physics in medicine and biology.

[38]  Justin K. Rajendra,et al.  Defining Critical White Matter Pathways Mediating Successful Subcallosal Cingulate Deep Brain Stimulation for Treatment-Resistant Depression , 2014, Biological Psychiatry.

[39]  S. Yoo,et al.  Suppression of EEG visual-evoked potentials in rats through neuromodulatory focused ultrasound , 2015, Neuroreport.

[40]  Mark W. Woolrich,et al.  Probabilistic diffusion tractography with multiple fibre orientations: What can we gain? , 2007, NeuroImage.

[41]  Diane Dalecki,et al.  Mechanical bioeffects of ultrasound. , 2004, Annual review of biomedical engineering.

[42]  Timothy Edward John Behrens,et al.  Characterization and propagation of uncertainty in diffusion‐weighted MR imaging , 2003, Magnetic resonance in medicine.

[43]  Klaas E. Stephan,et al.  The anatomical basis of functional localization in the cortex , 2002, Nature Reviews Neuroscience.

[44]  Joseph L. Sanguinetti,et al.  Transcranial Focused Ultrasound to the Right Prefrontal Cortex Improves Mood and Alters Functional Connectivity in Humans , 2020, Frontiers in Human Neuroscience.

[45]  Hugues Duffau,et al.  Stimulation mapping of white matter tracts to study brain functional connectivity , 2015, Nature Reviews Neurology.

[46]  Baotian Zhao,et al.  Deep Brain Stimulation in Treatment-Resistant Depression: A Systematic Review and Meta-Analysis on Efficacy and Safety , 2021, Frontiers in Neuroscience.

[47]  Adam G. Thomas,et al.  The Organization of Dorsal Frontal Cortex in Humans and Macaques , 2013, The Journal of Neuroscience.

[48]  Eyal Oren,et al.  Global, regional, and national burden of neurological disorders, 1990–2016: a systematic analysis for the Global Burden of Disease Study 2016 , 2017, The Lancet. Neurology.

[49]  E. Kluczewska,et al.  MR-Guided Focused Ultrasound: A New Generation Treatment of Parkinson's Disease, Essential Tremor and Neuropathic Pain , 2014 .

[50]  A. Petrov,et al.  Electricity and mechanics of biomembrane systems: flexoelectricity in living membranes. , 2006, Analytica chimica acta.

[51]  Robin O Cleveland,et al.  Ultrasound Neuromodulation: A Review of Results, Mechanisms and Safety , 2019, Ultrasound in medicine & biology.

[52]  Jerel K. Mueller,et al.  Computational exploration of wave propagation and heating from transcranial focused ultrasound for neuromodulation , 2016, Journal of neural engineering.

[53]  W. Brownell,et al.  Cell membrane tethers generate mechanical force in response to electrical stimulation. , 2010, Biophysical journal.

[54]  A. Lozano,et al.  Subcallosal Cingulate Gyrus Deep Brain Stimulation for Treatment-Resistant Depression , 2008, Biological Psychiatry.

[55]  Matthew F.S. Rushworth,et al.  Manipulation of Subcortical and Deep Cortical Activity in the Primate Brain Using Transcranial Focused Ultrasound Stimulation , 2018, Neuron.

[56]  J. Narváez,et al.  Enhanced flexoelectric-like response in oxide semiconductors , 2016, Nature.

[57]  Natalia Vykhodtseva,et al.  Acoustic neuromodulation from a basic science prospective , 2016, Journal of therapeutic ultrasound.

[58]  L. Gavrilov,et al.  Use of focused ultrasound for stimulation of nerve structures. , 1984, Ultrasonics.

[59]  A. Petrov Flexoelectric Model for Active Transport , 1975 .

[60]  Matthew F.S. Rushworth,et al.  Comparing brains by matching connectivity profiles , 2016, Neuroscience & Biobehavioral Reviews.

[61]  Á. Pascual-Leone,et al.  Noninvasive human brain stimulation. , 2007, Annual review of biomedical engineering.

[62]  W. A. N'Djin,et al.  A causal study of the phenomenon of ultrasound neurostimulation applied to an in vivo invertebrate nervous model , 2019, Scientific Reports.

[63]  K. T. Ramesh,et al.  Effect of bulk modulus on deformation of the brain under rotational accelerations , 2018, Shock waves.

[64]  Dragan Damjanovic,et al.  Flexoelectricity in Bones , 2018, Advanced materials.

[65]  Wonhye Lee,et al.  Image-Guided Focused Ultrasound-Mediated Regional Brain Stimulation in Sheep. , 2016, Ultrasound in medicine & biology.

[66]  W. Tyler,et al.  Transcranial Focused Ultrasound Modulates Intrinsic and Evoked EEG Dynamics , 2014, Brain Stimulation.

[67]  Heidi Johansen-Berg,et al.  Tractography: Where Do We Go from Here? , 2011, Brain Connect..

[68]  Ari Ercole,et al.  Electrophysiological-mechanical coupling in the neuronal membrane and its role in ultrasound neuromodulation and general anaesthesia. , 2019, Acta biomaterialia.

[69]  William J Tyler,et al.  A quantitative overview of biophysical forces impinging on neural function , 2013, Physical biology.

[70]  V. Wedeen,et al.  Reduction of eddy‐current‐induced distortion in diffusion MRI using a twice‐refocused spin echo , 2003, Magnetic resonance in medicine.

[71]  G Wilson Miller,et al.  Noninvasive neuromodulation and thalamic mapping with low-intensity focused ultrasound. , 2017, Journal of neurosurgery.

[72]  F. Dunn,et al.  Comprehensive compilation of empirical ultrasonic properties of mammalian tissues. , 1978, The Journal of the Acoustical Society of America.

[73]  D. Salem,et al.  Flexoelectricity in several thermoplastic and thermosetting polymers , 2012 .

[74]  D. Parker,et al.  Characterization and evaluation of tissue-mimicking gelatin phantoms for use with MRgFUS , 2015, Journal of therapeutic ultrasound.