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          <p style="text-align:center"><font size="4"><a href="https://84454458.streak-link.com/C-MkvBdbG1Enlihk0gvX0Wro/https%3A%2F%2Fwww.wwtns.online" target="_blank"></a></font></p></div></div></div></div></blockquote></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div><div dir="ltr"><div dir="ltr"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div class="gmail_quote"><div class="gmail_quote"><div dir="ltr"><p style="text-align:center"><font size="4"><a href="https://streaklinks.com/A9c7PbbpKY7PxB6PaAJWGD3-/https%3A%2F%2Fwww.wwtns.online" target="_blank">https://www.wwtns.online</a>
              - on twitter: wwtns@TheoreticalWide  and on YouTube</font></p></div></div></div></div></blockquote><div style="text-align:center"><br></div><div style="text-align:center"><font size="4">New on the VVTNS Website and YouTube Channel </font></div><div style="text-align:center"><a href="https://streaklinks.com/A9c7PbbpKY7PxB6PaAJWGD3-/https%3A%2F%2Fwww.wwtns.online" style="font-size:large" target="_blank">https://www.wwtns.online</a><span style="font-size:large"> </span></div><div style="text-align:center"><br></div><div style="text-align:center"><p style="vertical-align:baseline;background:0px 0px;border:0px;outline:0px;padding:0px;font-style:normal;font-variant:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:20px;line-height:normal;font-family:spinnaker,sans-serif;margin:0px"><span style="vertical-align:baseline;background:0px 0px;border:0px;outline:0px;margin:0px;padding:0px"><font color="#000000">Mean-field dynamics in networks with</font></span></p><p style="vertical-align:baseline;background:0px 0px;border:0px;outline:0px;padding:0px;font-style:normal;font-variant:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:20px;line-height:normal;font-family:spinnaker,sans-serif;margin:0px"><span style="vertical-align:baseline;background:0px 0px;border:0px;outline:0px;margin:0px;padding:0px"><font color="#000000">clustered connectivity and dendritic nonlinearities</font></span></p></div><div style="text-align:center"><p style="vertical-align:baseline;background:0px 0px;border:0px;outline:0px;padding:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:20px;line-height:normal;font-family:spinnaker,sans-serif;margin:0px"><span style="vertical-align:baseline;background:0px 0px;border:0px;outline:0px;margin:0px;padding:0px"><font color="#000000"><br></font></span></p></div><div style="text-align:center"><span style="color:rgb(13,13,13);font-family:Roboto,Noto,sans-serif;font-size:large;text-align:start">lecture delivered on May 13,  2026  by</span></div><div style="text-align:center"><span style="color:rgb(13,13,13);font-family:Roboto,Noto,sans-serif;font-size:large;text-align:start"><br></span></div><div style="text-align:center"><span style="color:rgb(13,13,13);font-family:Roboto,Noto,sans-serif;font-size:large;text-align:start">Gabriel Ocker</span></div><div style="text-align:center"><div><p style="vertical-align:baseline;background:0px 0px;border:0px;outline:0px;padding:0px;font-style:normal;font-variant:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:18px;line-height:1.6em;font-family:spinnaker,sans-serif;margin:0px"><span style="vertical-align:baseline;background:0px 0px;border:0px;outline:0px;margin:0px;padding:0px;font-family:helvetica-w01-roman,helvetica-w02-roman,helvetica-lt-w10-roman,sans-serif"><span style="vertical-align:baseline;background:0px 0px;border:0px;outline:0px;margin:0px;padding:0px"><span style="vertical-align:baseline;background:0px 0px;border:0px;outline:0px;margin:0px;padding:0px"><font color="#000000">Boston University</font></span></span></span></p></div><div><br></div></div><div style="text-align:left"><font color="#000000"><span style="font-family:spinnaker,sans-serif;font-size:14px;text-align:justify;background-color:transparent">Abstract: Networks of interconnected neurons display diverse patterns of activity.  Relating these patterns to the structure of the network is a central goal of theoretical neuroscience. Classic neural field and rate models have been powerful tools for this purpose due to their analytical tractability. Here, we show that the recently-developed combinatorial threshold-linear network (CTLN) model is a mean-field theory for excitatory-inhibitory Hawkes networks, with clustered connectivity, in an inhibition-stabilized regime. This mapping allows us to leverage powerful analytical results for CTLN networks to predict diverse macroscopic dynamics of clustered Hawkes networks, including metastability between various macroscopic fixed points, limit cycles, and chaotic attractors.  We will then examine an extension of this approach to models with nonlinear dendritic dynamics, focusing on dendritic calcium spikes.We uncover a marked point process mean-field theory for these networks and use this to examine how somatic vs dendritic-targeting connectivity shapes the mean-field equilibrium phase diagram.</span></font></div><div style="text-align:left"><span style="font-size:14px;text-align:justify"><font color="#000000">.</font></span></div><div style="text-align:center"><font color="#000000"><br></font></div><div style="text-align:center"><p style="text-align:left;background:transparent;border:0px;outline:0px;padding:0px;vertical-align:baseline;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;line-height:1.6em;font-family:spinnaker,sans-serif;margin:0px"><i style="background-color:transparent;font-family:Arial,Helvetica,sans-serif"><font color="#000000"><span style="font-family:helvetica-w01-light,helvetica-w02-light,sans-serif;text-align:justify">A<b>bout V</b><font color="#500050" style="font-weight:bold">VTNS</font><font color="#500050" style="font-weight:bold"> : </font></span></font></i><i style="font-family:Arial,Helvetica,sans-serif;background-color:transparent"><span style="font-family:helvetica-w01-light,helvetica-w02-light,sans-serif;text-align:justify"><font color="#000000">VVTNS  is a weekly digital seminar on Zoom targeting the theoretical neuroscience community. Launched as the</font></span><span style="color:rgb(0,0,0);font-family:helvetica-w01-light,helvetica-w02-light,sans-serif;text-align:justify"> World Wide Neuroscience Seminar (WWTNS) in November 2020 and renamed in homage to Carl van Vreeswijk in Memoriam (April 20, 2022), its aim is to be a platform to exchange ideas among theoreticians, but not only. Speakers have the occasion to talk about theoretical aspects of their work which cannot be discussed in a setting where the majority of the audience consists of experimentalists. The seminars  are 45 min long followed by a discussion and are held on Wednesdays at 11 am ET. The talks are recorded with authorization of the speaker and are available to everybody on our YouTube channel.</span></i></p></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div><div id="m_985439030272474942m_-8435007551547835556m_-2730699274034682664m_7336769138461050293m_-555402346878620799m_2078987493363524274m_2385834065060985535m_-6046398934232627254m_-5827452734716430257m_7045304362081612403m_4179726376297834025m_5509523003637554824m_-436179444694456296m_-7681628874649059375m_7750187461389672445m_9094229232797745075m_-1462542758380322657m_7936782669738885075m_2132234319318737290m_3082520148829658712m_6732243839182647882m_-287356451416637581m_9199497142594163290m_3123758975499956944m_-4285543598660325014m_3406622003034096663m_-4434917348957094547m_6996923250378584115m_4339855878333796038m_2618317786332564474m_-6182961172059790657m_-6761930163476888199m_-1789248717287360482m_-7753075062499186717mt-signature"><p style="margin:0px;padding:0px;border:0px;outline:0px;vertical-align:baseline;background:transparent;line-height:1.6em"><br></p><p style="margin:0px;padding:0px;border:0px;outline:0px;vertical-align:baseline;background:transparent;font-size:18px;line-height:1.6em;color:rgb(0,0,0);text-align:center"><br></p></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div>
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