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<div><a href="mailto:denis.schluppeck@nottingham.ac.uk">denis.schluppeck@nottingham.ac.uk</a></div>

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Begin forwarded message:<br>

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<div><b>From:</b> Etienne Farcot <<a href="mailto:Etienne.Farcot@nottingham.ac.uk">Etienne.Farcot@nottingham.ac.uk</a>><br>

<b>Date:</b> 9 February 2016 at 08:40:34 GMT<br>

<b>To:</b> "<a href="mailto:maths-seminars-announce@lists.nottingham.ac.uk">maths-seminars-announce@lists.nottingham.ac.uk</a>" <<a href="mailto:maths-seminars-announce@lists.nottingham.ac.uk">maths-seminars-announce@lists.nottingham.ac.uk</a>>, CMMB list <<a href="mailto:maths-cmmb@lists.nottingham.ac.uk">maths-cmmb@lists.nottingham.ac.uk</a>><br>

<b>Subject:</b> <b>[Maths-CMMB] CANCELLED .. CMMB seminar 9 February - Rebecca Shipley</b><br>

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<blockquote type="cite">

<div><span>Dear all,</span><br>

<span></span><br>

<span></span><br>

<span>Unfortunately our speaker had to postpone her visit at the last minute.</span><br>

<span></span><br>

<span></span><br>

<span>Best wishes,</span><br>

<span></span><br>

<span>Etienne and Bindi</span><br>

<span></span><br>

<span></span><br>

<span>-------------------------------------------------------</span><br>

<span> Etienne Farcot</span><br>

<span> University of Nottingham</span><br>

<span> School of Mathematical Sciences</span><br>

<span> Nottingham</span><br>

<span> NG7 2RD</span><br>

<span> UK</span><br>

<span></span><br>

<span> tel: +44(0) 115 951 4943</span><br>

<span>------------------------------------------------------</span><br>

<span>________________________________________</span><br>

<span>From: <a href="mailto:maths-seminars-announce-bounces@lists.nottingham.ac.uk">

maths-seminars-announce-bounces@lists.nottingham.ac.uk</a> [<a href="mailto:maths-seminars-announce-bounces@lists.nottingham.ac.uk">maths-seminars-announce-bounces@lists.nottingham.ac.uk</a>] on behalf of Etienne Farcot [<a href="mailto:etienne.farcot@nottingham.ac.uk">etienne.farcot@nottingham.ac.uk</a>]</span><br>

<span>Sent: 04 February 2016 10:23</span><br>

<span>To: <a href="mailto:maths-seminars-announce@lists.nottingham.ac.uk">maths-seminars-announce@lists.nottingham.ac.uk</a>; CMMB list</span><br>

<span>Subject: [Maths-seminars] CMMB seminar 9 February - Reb</span><br>

<span>Dear all,</span><br>

<span></span><br>

<span></span><br>

<span>Next Tuesday for the CMMB seminar we will have the pleasure to welcome</span><br>

<span>Rebecca Shipley, from UCL.</span><br>

<span></span><br>

<span>Date and venue: 2pm Tuesday 9 Feburary, UP-POPE-C18</span><br>

<span></span><br>

<span>Title/Abstract:</span><br>

<span></span><br>

<span>Development and Testing of New Mathematical Models for Tissue Blood Flow</span><br>

<span></span><br>

<span>The vasculature is a 3D multiscale network comprised of a hierarchy of</span><br>

<span>vessels that is frequently categorized according to vessel</span><br>

<span>size. Although the geometry and topology of the vasculature is</span><br>

<span>organ-specific, blood flows into an organ from a feeding artery, through</span><br>

<span>the arterioles into the microcirculation, and exits through the venules</span><br>

<span>then veins. Gas exchange occurs primarily in the microcirculation and,</span><br>

<span>indeed, the function of the vasculature is to bring oxygenated blood</span><br>

<span>within a small distance of every tissue point in the body in order to</span><br>

<span>meet metabolic demands. Modelling the flow of blood and solutes through</span><br>

<span>these networks could play a crucial role in, for example, controlling</span><br>

<span>drug dosage and predicting efficacy, as well as understanding</span><br>

<span>pathological scenarios such as myocardial ischaemia or local tumour</span><br>

<span>microenvironments.</span><br>

<span>Traditional modelling approaches have employed a discrete approach by</span><br>

<span>solving equations for blood flow in each vessel of a network.</span><br>

<span>However, recent advances in imaging methods have led to a wealth of data</span><br>

<span>that describe vascular structure in a highly detailed way. As the</span><br>

<span>resolution of these data increases, it is becoming too computationally</span><br>

<span>intensive to simulate flow and mass transport in the complete</span><br>

<span>vascular tree using a discrete approach. As such, continuum models must</span><br>

<span>be developed that capture the key functional properties of blood flow.</span><br>

<span></span><br>

<span>Continuum multiscale models that describe blood flow in the</span><br>

<span>microcirculation, derived using the mathematical process of asymptotic</span><br>

<span>homogenization, will be discussed. These models include both vascular</span><br>

<span>and interstitial fluid transport (as it pertinent for the leaky</span><br>

<span>neovasculature of solid tumours). A strategy for combining discrete and</span><br>

<span>continuum models to simulate transport in large network data sets will</span><br>

<span>be presented, and results of testing this strategy on explicit examples</span><br>

<span>of rat mesentery networks (with known flow solutions) will be</span><br>

<span>demonstrated. Finally, applications of the modelling framework to large</span><br>

<span>vascular data sets extracted using corrosion casting, micro-CT and</span><br>

<span>optical imaging methods will be discussed for Tissue Blood Flow.</span><br>

<span></span><br>

<span></span><br>

<span>Please let us know if you would like to meet the speaker in person.</span><br>

<span></span><br>

<span>All the best,</span><br>

<span></span><br>

<span>Etienne and Bindi</span><br>

<span></span><br>

<span>.................................</span><br>

<span> Etienne Farcot</span><br>

<span> School of Mathematical Sciences</span><br>

<span> University of Nottingham</span><br>

<span> University Park</span><br>

<span> Nottingham, NG7 2RD, UK</span><br>

<span></span><br>

<span> tel: +44(0) 115 951 4943</span><br>

<span> --</span><br>

<span> <a href="http://ecmtb2016.org">http://ecmtb2016.org</a></span><br>

<span>.................................</span><br>

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