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SUMMARY:Towards holistic mathematical models of human fluid physiology and
  associated diseases - Prof Eleuterio Toro\, University of Trento\, Italy
DTSTART:20220708T140000Z
DTEND:20220708T150000Z
UID:TALK176333@talks.cam.ac.uk
CONTACT:Samantha Selvini
DESCRIPTION:*Abstract*\nIn this talk\, Prof Toro will present some recent 
 advances in the construction of mathematical models of the global circulat
 ion in the entire human body\, coupled to a refined description of the cer
 ebrospinal fluid dynamics in the craniospinal cavity [1]. The present mode
 l represents a substantially revised version of the original Müller-Toro 
 mathematical model [2]. The geometric multi-scale mathematical model prese
 nted here includes one-dimensional non-linear systems for 323 major blood 
 vessels (arteries and veins) and 85 zero-dimensional\, differential-algebr
 aic systems for the remaining components of the complete model. Highlights
  include the myogenic mechanism of cerebral blood regulation\; refined vas
 culature for the inner ear\; refined vasculature for the brainstem and cer
 ebellum\, and viscoelastic\, rather than purely elastic\, models for all b
 lood vessels. The derived one-dimensional parabolic systems for all major 
 vessels are approximated by hyperbolic systems with stiff source terms fol
 lowing a relaxation approach [3]. Sophisticated numerical methodology is d
 eployed to solve the equations [3]. The full model is validated through co
 mparison of computational results against published data and bespoke MRI m
 easurements. \nProf Toro will present results for a medical application th
 at concerns transverse sinus stenoses and their relation to Idiopathic Int
 racranial Hypertension [4]. \n\n_References_\n[1] E F Toro\, M Celant\, Q 
 Zhang\, C Contarino\, N Agarwal\, A A Linninger\, L O Müller. Cerebrospin
 al fluid dynamics coupled to the global circulation in holistic setting: m
 athematical models\, numerical methods and applications. International Jou
 rnal for Numerical Methods in Biomedical Engineering. May 2021. https://do
 i.org/10.1002/cnm.3532\n[2] Lucas O. Müller and Eleuterio F. Toro. A glob
 al multi-scale model for the human circulation with emphasis on the venous
  system. International Journal for Numerical Methods in Biomedical Enginee
 ring. Vol. 30\, Issue 7\, pp: 681-725\, July 2014.\n[3] Eleuterio F. Toro 
 and Gino I. Montecinos. Advection-diffusion-reaction equations: hyperbolis
 ation and high-order ADER discretizations. SIAM Journal of Scientific Comp
 uting. Vol. 36\, No. 5\, pp: A2423-A2457\, 2014. \n[4] N. Agarwal\, C. Con
 tarino\, L. Bertazzi\, N. Limbucci\, G. Rossi and Eleuterio F. Toro. Intra
 cranial fluid dynamics changes in idiopathic intracranial hypertension: pr
 e and post lumbar puncture\, medical and stent placement. Current Neurovas
 cular Research. Vol. 15\, pp: 1-9\, 2018. \n\n*About the speaker*\n\n_Eleu
 terio Toro_ is currently an Emeritus Professor of Mathematics in the Unive
 rsity of Trento\, Italy\, and formerly a full Professor (Professore Chiara
  Fama) of Numerical Analysis at the Laboratory of Applied Mathematics\, in
  the same university. He holds an Honours BSc in pure mathematics (Univers
 ity of Warwick\, UK\, 1977)\, an MSc in functional analysis and differenti
 al equations (University of Dundee\, UK\, 1978) and a PhD in computational
  mathematics (Teesside University\, UK 1982). Previously held academic app
 ointments include several institutions\, such as the University of Leeds (
 UK)\, Cranfield University (UK)\, Manchester Metropolitan University (UK) 
 and Cambridge University (UK). Professor Toro has received several honours
  and distinctions\, which include the honorary title OBE from Queen Elizab
 eth II (UK\, 2000)\; Life Fellow\, Claire Hall\, University of Cambridge (
 UK\, 2003)\; Fellow of the Indian Society for Shock Wave Research (Bangalo
 re\, 2005)\; Doctor Honoris Causa (Universidad de Santiago de Chile\, 2008
 )\; William Penney Fellow\, University of Cambridge (UK\, 2010)\; Doctor H
 onoris Causa (Universidad de la Frontera\, Chile\, 2012) and Honorary Prof
 essor\, Moscow Institute of Physics and Technology\, Russia. Professor Tor
 o’s research has for many years focused on the design of computational m
 ethods for solving partial differential equations\, with particular emphas
 is on hyperbolic balance laws and applications to industrial\, aerospace\,
  and environmental problems. Contribution highlights include: WAF (1989)\,
  HLLC (1992)\, FORCE (1996)\, ADER (2001)\, MUSTA (2004)\, TV flux splitti
 ng (2012).\n\nFor the last ten years Professor Toro’s research has been 
 focused on the mathematical modelling of the fluid physiology of neurologi
 cal diseases\, with particular attention the role of anatomical malformati
 ons in disturbing the dynamical interaction of fluid compartments in the c
 entral nervous system. The approach taken is holistic\, including all majo
 r fluid compartments (arterial blood\, venous blood\, microvasculature\, i
 nterstitial fluid\, cerebrospinal fluid\, the brain parenchyma) in the ent
 ire human body. In the last decade or so Prof. Toro has been an invited ke
 ynote speaker in more than 100 international scientific events. Professor 
 Toro has held many visiting appointments round the world\, which include s
 everal European countries\, Japan\, China and USA. He is author of more th
 an 300 research works\, including books\, articles and technical reports\,
  with more than 26000 citations on GoogleScholar (eleuteriotoro.com). \n\n
 *Registration*\n\n*To register for the event please visit*: https://forms.
 gle/2P4z9mtVbzEe5qn88\n\nThis is a hybrid event held at the Maxwell Centre
  and on Zoom.\n\nJJ Thomson seminar room\, \nMaxwell Centre\,\nJJ Thomson 
 ave\,\nCambridge CB3 0HE\n\nZoom link: https://bit.ly/3OYswjg\n\nMeeting I
 D: 815 2886 8878 \nPasscode: 818779 \nFind your local number: https://us06
 web.zoom.us/u/kb0WU1V4mi\n
LOCATION:Hybrid - Maxwell Centre &amp\; on Zoom
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