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Item 25th Annual Computational Neuroscience Meeting: CNS-2016(BioMed Central, 2016-08-18) Sharpee, Tatyana O.; Destexhe, Alain; Kawato, Mitsuo; Sekulić, Vladisla; Skinner, Frances K.; Wójcik, Daniel K.; Chintaluri, Chaitanya; Cserpán, Dorottya; Somogyvári, Zoltán; Kim, Jae Kyoung; Kilpatrick, Zachary P.; Bennett, Matthew R.; Josić, Kresimir; Elices, Irene; Arroyo, David; Levi, Rafael; Rodriguez, Francisco B.; Varona, Pablo; Hwang, Eunjin; Kim, Bowon; Han, Hio-Been; Kim, Tae; McKenna, James T.; Brown, Ritchie E.; McCarley, Robert W.; Choi, Jee Hyun; Rankin, James; Popp, Pamela Osborn; Rinzel, John; Tabas, Alejandro; Rupp, André; Balaguer‑Ballester, Emili; Maturana, Matias I.; Grayden, David B.; Cloherty, Shaun L.; Kameneva, Tatiana; Ibbotson, Michael R.; Meffin, Hamish; Koren, Veronika; Lochmann, Timm; Dragoi, Valentin; Obermayer, Klaus; Psarrou, Maria; Schilstra, Maria; Davey, Neil; Ju, Huiwen; Hines, Michael L.; Chen, Liang; Kim, Jimin; Leahy, Will; Shlizerman, Eli; Birgolias, Justas; Gerkin, Richard C.; Crook, Sharon M.; Viriyopase, Atthaphon; Memmeshei, Raol-Martin; Dabaghian, Yuri; DeVuti, Justin; Perotti, Luca; Kim, Ammo J.; Fenk, Lisa M.; Lyu, Cheng; Malmon, Gabby; Zhao, Chang; Widmer, Yves; Sprecher, Simon; Halnes, Geir; Tuomo, Maki-Martun; Keller, Daniel; Petterson, Klas H.; Andreassen, Ole A.; Elnevoll, Gaute T.; Yamada, Yasnori; Steyn-Ross, Moira L.; Steyn-Ross, D. Alistair; Meijas, Jorge F.; Murray, John D.; Kennedy, Henry; Kruscha, Alexandra; Grewe, Jan; Lidner, Benjamin; Badel, Laurent; Kasumi, Ohta; Tsuchimoto, Yoshiko; Kazama, Hokto; Kahng, B.; Tam, Nicoladie D.; Pollonini, Luca; Zouridakis, George; Soh, Jaehyun; Kim, DaeEun; Yoo, Minsu; Palmer, S.E.; Culmone, Viviana; Bojak, Ingo; Ferrario, Andrea; Merriosn-Hort, Robert; Borisyuk, Roman; Kim, Chang Sub; Tezuka, Taro; Joo, Pangyu; Young-Ah, Rho; Burton, Shawn D.; Bard, G.; Marsalek, Petr; Kim, Hoon-Hee; Moon, Seok-hun; Lee, Do-won; Molkov, Yaroslav I.; Hamade, Khaldoun; Teka, Wondimu; Barnett, William H.; Kim, Taegyo; Markin, Sergey; Rybak, Ilya A.; Forrow, Csaba; Demutz, Harald; Demkó, László; Vörös, János; Dabaghian, Yuri; Babichev, Andrey; Huang, Haiping; Metzner, Christoph; Schwikard, Achim; Zurowski, Bartosz; Roach, James P.; Sander, Leonard M.; Zochowski, Michal R.; Skilling, Quinton M.; Ognjanovski, Nicolette; Aton, Sara J.; Zochowski, Michal; Wang, Sheng-Ju; Ouyang, Guang; Zhang, Mingsha; Wong, Michael; Zhou, Changsong; Robinson, Peter A.; Sanz-Leon, Paula; Drysdale, Peter M.; Fung, Felix; Abeysuriya, Romesh G.; Rennle, Chris J.; Zhao, Xuelong; Choe, Yoonsuck; Yang, Huei-Fang; Mi, Yuanyuan; Lin, Xiahoan; Wu, Si; Liedtke, Joscha; Schottdorf, Manual; Wolf, Fred; Yamamura, Yorkio; Wickens, Jeffery R.; Rumbell, Timothy; Ramsey, Julia; Reyes, Amy; Draguljić, Daniel; Hof, Patrick R.; Luebke, Jennifer; Weaver, Christina M.; He, Hu; Yang, Xu; Ma, Hailin; Xu, Zhiheng; Wang, Yuzhe; Baek, Kwangyeol; Morris, Laurel S.; Kundu, Prantik; Voon, Valerie; Agnes, Everton J.; Vogels, Tim P.; Giese, Martin; Kuravi, Pradeep; Vogels, Rufin; Seeholzer, Alexander; Podlaski, William; Ranjan, Rajnish; Vogels, Tim; Torres, Joaquin J.; Baroni, Fabiano; Latorre, Roberto; Varona, Pablo; Gips, Bart; Lowet, Eric; Roberts, Mark J.; de Weerd, Peter; Jensen, Ole; van der Eerden, Jan; Goodarzinic, Abdorreza; Niry, Mohammad; Valizadeh, Alireza; Pariz, Aref; Parsi, Shervin S.; Valizadeh, Alireza; Warburton, Julia M.; Marucci, Lucia; Tamagnini, Francesco; Brown, John; Tsaneva‑Atanasova, Krasimira; Kleberg, Florence I.; Triesch, Jochen; Moezzi, Bahar; Iannella, Nicolangelo; Schaworonkow, Natalie; Plogmacher, Lukas; Goldsworthy, Mitchell R.; Hordacre, Brenton; McDonnell, Mark D.; Ridding, Michael C.; Trisch, Jochen; Zaptocky, Martin; Smit, Daniel; Fouquet, Coralie; Trembleau, Alain; Dasgupta, Sakyasingha; Nishikawa, Isao; Aihara, Kazuyuki; Toyoizumi, Taro; Robb, Daniel T.; Mellen, Nick; Toporikova, Natalia; Tang, Rongxiang; Tang, Yi-Yuan; Kiser, Seth A.; Howard Jr., James H.; Tang, Yi-Yuan; Goncharenko, Julia; Davey, Neil; Schilstra, Marla; Steuber, Volker; Voronenko, Sergej O.; Linder, Benjamin; Ahamed, Tosif; Stephens, Greg; Yger, Pierre; Lefebvre, Baptiste; Spampinato, Giulia Lia Beatrice; Esposito, Elric; Stimberg, Marcel; Marre, Olivier; Choi, Hansol; Song, Min-Ho; Chung, SueYeon; Lee, Dan D.; Sompolinsky, Haim; Phillips, Ryan S.; Smith, Jeffrey; Chatzikalymniou, Alexandra Pierri; Ferguson, Katie; Skinner, Frances K.; Gajic, N. Alex Cayco; Clopath, Claudia; Silver, R. Angus; Gleeson, Padraig; Marin, Boris; Sadeh, Sadra; Quintana, Adrian; Cantarelli, Matteo; Dura‑Bernal, Salvador; Lytton, William W.; Davison, Andrew; Silver, Angus; Li, Luozheng; Zhang, Wenhao; Mi, Yuanyuan; Wang, Dahui; Wu, Sl; Song, Youngjo; Park, Sol; Choi, Ilhwan; Jeong, Jaeseung; Shin, Hee‑sup; Choi, Hannah; Pasupathy, Anitha; Shea-Brown, Eric; Huh, Dongsung; Sejnowski, Terrence J.; Vogt, Simon M.; Kumar, Arvind; Schmidt, Robert; Werdt, Stephen Van; Schiff, Steven J.; Veale, Richard; Scheutz, Matthias; Lee, Sang Wan; Gallinaro, Júlia; Rotter, Stefan; Sanz‑Leon, Paula; Robinson, Peter A.; Rubchinsky, Leonid L.; Cheung, Chung Ching; Ratnadurai‑Giridharan, Shivakeshavan; Shomali, Safura Rashid; Ahmadabadi, Majid Nili; Shimazaki, Hideaki; Rasuli, Nader; Zhao, Xiaochen; Rasch, Malte J.; Witting, Jens; Priesemann, Viola; Levina, Anna; Priesemann, Viola; Lizler, Joseph T.; Spinney, Richard E.; Rubinov, Mikail; Wibral, Michael; Bak, Ji Hyun; Pillow, Jonathan; Zaho, Yuan; Park, Memming; Kang, Jiyoung; Park, Hae‑Jeong; Jang, Jaeson; Paik, Se-Bum; Choi, Woochul; Lee, Changju; Jang, Jaeson; Paik, Se‑Bum; Song, Min; Lee, Hyeonsu; Yilmaz, Ergin; Baysal, Velt; Ozer, Mahmut; Koren, Veronika; Obermayer, Klaus; Saska, Daniel; Nowotny, Thomas; Chan, Ho Ka; Diamond, Alan; Hermann, Christoph S.; Murray, Micha M.; Ionta, Silvlo; Hutt, Axel; Lefebvre, Jérémie; Weidel, Philipp; Duarte, Renato; Morrison, Abigail; Iyer, Ramakrishnan; Mihalas, Stefan; Petrovici, Mihai A.; Leng, Luziwei; Breitwieser, Oliver; Stöckel, David; Bytschok, Ilja; Martel, Roman; Bill, Johannes; Schemmel, Johannes; Meier, Karlheinz; Esler, Timothy B.; Burkitt, Anthony N.; Grayden, David B.; Kerr, Robert R.; Tahayori, Bahman; Meffin, Hamish; Moezzi, Bahar; Iannella, Nicolangelo; McDonnell, Mark D.; Nolte, Max; Reimann, Michael W.; Muler, Eilif; Markram, Henry; Parziale, Antonio; Senatore, Rosa; Marcelli, Angelo; Maouene, M.; Skiker, K.; Neymotin, Samuel A.; Dura‑Bernal, Salvador; Seidenstein, Alexandra; Lakatos, Peter; Sanger, Terence D.; Lytton, William W.; Dura‑Bernal, Salvador; Menzies, Rosemary J.; McLauchlan, Campbell; van Albada, Sacha J.; Kedziora, David J.; Neymotin, Samuel; Kerr, Cliff C.; Ryu, Juhyoung; Lee, Sang-Hun; Lee, Joonwon; Lee, Hyang Jung; Lim, Daeseob; Lee, Jung H.; Wang, Jisung; Lee, Heonsoo; Jung, Nam; Quang, Le Anh; Maeng, Seung Eu; Lee, Tae Ho; Lee, Jae Woo; Park, Chang-hyun; Ahn, Sora; Moon, Jangsup; Choi, Yun Seo; Kim, Juhee; Jun, Sang Beom; Lee, Seungjun; Lee, Hyang Woon; Jo, Sumin; Jun, Eunji; Yu, Suin; Goetze, Felix; Lai, Pik‑Yin; Kwag, Jeehyun; Liang, Guangsheng; Jang, Hyun Jae; Filipovi, Marko; Reig, Ramon; Aertsen, Ad; Silberberg, Gilad; Kumar, Arvind; Bachmann, Claudia; Buttler, Simone; Jacobs, Heidi; Dillen, Kim; Fink, Gereon R.; Kukolja, Juraj; Kepple, Daniel; Giaffar, Hamza; Rinberg, Dima; Shea, Steven; Koulakov, Alex; Bahuguna, Jyotika; Tetzlaff, Tom; Kotaleski, Jeanette Hellgren; Kunze, Tim; Peterson, Andre; Knösche, Thomas; Kim, Minjung; Kim, Hojeong; Park, Ji Sung; Yeon, Ji Won; Kim, Sung-Phil; Lee, Chungho; Kim, Sung-Phil; Spiegler, Andreas; Petkoski, Spase; Palva, Matias J.; Jirsa, Viktor K.; Saggio, Maria L.; Siep, Silvan F.; Stacey, William C.; Bernard, Christophe; Choung, Oh‑hyeon; Jeong, Yong; Lee, Yong‑il; Jeong, Jaesung; Kim, Su Hyun; Lee, Jeungmin; Kwon, Jaehyung; Kralik, Jerald D.; Hwang, Dong‑Uk; Park, Sang-Min; Kim, Seongkyun; Kim, Hyoungkyu; Lim, Sewoong; Yoon, Sangsup; Park, Choongseok; Miller, Thomas; Clements, Katie; Hye Jr., Eoon; Issa, Fadi A.; Baek, JeongHun; Oba, Shigeyuki; Yoshimoto, Junichiro; Doya, Kenji; Ishii, Shin; Mosqueiro, Thiago S; Strube‑Bloss, Martin F.; Smith, Brian; Huerta, Ramon; Hadrava, Michal; Hlinka, Jaroslav; Bos, Hannah; Helias, Moritz; Welzig, Charles M.; Harper, Zachary J.; Kim, Won Sup; Shin, In-Seob; Baek, Hyeon-Man; Han, Seung Kee; Richter, René; Vitay, Julien; Beuth, Frederick; Hamker, Fred H.; Kameneva, Tatiana; Graham, Bruce P.; Kale, Penelope J.; Gollo, Leonardo L.; Stern, Merav; Abbott, L.F.; Fedorov, Leonid A.; Giese, Martin A.; Ardestani, Mohammad Hovaidi; Giese, Martin; Chakravarthy, V.Srinivasa; Chhabria, Karishma; Philips, Ryan T.; Ardestani, Mohammad Hovaidi; Faraji, Mohammad Java; Preuschoff, Kerstin; Gerstner, Wulfram; Briaire`, Jeroen J.; Kalkman, Randy K.; Frijns, Johan H. M.; Lee, Won Hee; Frangou, Sophia; Fulcher, Ben D.; Tran, Patricia H. P.; Fornito, Alex; Gliske, Stephen V.; Stacey, William C.; Holman, Katherine A.; Fink, Christian G.; Kim, Jinseop; Mu, Shang; Briggman, Kevin L; Seung, H. Sebastian; Wegener, Detlef; Bohnenkamp, Lisa; Ernst, Udo A.; Mäki‑Marttunen, Tuomo; Halnes, Geir; Devor, Anna; Dale, Anders M.; Andreassen, Ole A.; Einevoll, Gaute T.; Hagen, Espen; Lines, Glenn T.; Edwards, Andy; Tveito, Aslak; Senk, Johanna; van Albada, Sacha J; Diesmann, Markus; Schmidt, Maximilian; Bakker, Rembrandt; Shen, Kelly; Bezgin`, Gleb; Hilgetag`, Claus‑Christian; Sun, Haoqi; Sourina, Olga; Huang, Guang-Bin; Klanner, Felix; Denk, Cornelia; Glomb, Katharina; Ponce‑Alvarez, Adrián; Gilson, Matthieu; Ritter, Petra; Deco, Gustavo; Witek, Maria A. G.; Clarke, Eric F.; Hansen, Mads; Wallentin, Mikkel; Kringelbach, Morten L.; Vuust, Peter; Klingbeil, Guido; Schutter, Erik De; Chen, Weiliang; Hong, Sungho; Takashima, Akira; Zamora, Criseida; Gallimore, Andrew R.; Karoly, Philippa J.; Freestone, Dean R.; Soundry, Daniel; Kuhlmann, Levin; Paninski, Liam; Cook, Mark; Lee, Jaejin; Fishman, Yonatan I.; Cohen, Yale E.; Cocchi, Luca; Sweeney, Yann; Lee, Soohyun; Jung, Woo-Sung; Kim, Bowon; Kim, Youngsoo; Jung, Younginha; Rankin, James; Chavane, Frédéric; Soman, Karthik; Muralidharan, Vignesh; Shivkumar, Sabyasach; Mandall, Alekhya; Priyadharsini, B. Praga; Mehta, Hima; Brinkman, Braden A.; Kekona, Tyler; Rieke, Fred; Shea‑Brown, Eric; Buice, Michael; Pittà, Maurizio De; Berry, Hugues; Brunel, Nicolas; Breakspear, Michael; Marsat, Gary; Drew, Jordan; Chapman, Phillip D.; Daly, Kevin C.; Bradley, Samual P.; Seo, Sat Byul; Su, Jianzhong; Kavalali, Enge T.; Blackwell, Justin; Shiau, LieJune; Buhry, Laure; Basnayake, Kanishka; Lee, Sue-Hyun; Levy, Brandon A.; Baker, Chris I.; Leleu, Timothée; Aihara, Kazuyuki; Department of Mathematical Sciences, School of ScienceItem Accuracy improvement of the immersed boundary–lattice Boltzmann coupling scheme by iterative force correction(Elsevier, 2016-01) Zhang, Chunze; Cheng, Yongguang; Zhu, Luoding; Wu, Jiayang; Department of Mathematical Sciences, School of ScienceThe non-slip boundary condition at solid walls cannot be accurately achieved by the conventional immersed boundary–lattice Boltzmann (IB–LB) coupling schemes due to insufficient interpolation accuracy. To solve this problem, an iterative force correction procedure for the IB–LB coupling scheme is proposed. Cheng’s external forcing term in the LB equation is selected to properly incorporate the present and the next time step effects. The unknown IB force and the corresponding force on fluid at the next time step are calculated by iterative correction, based on the known immersed boundary speed, flow velocity, and the relationship between the IB speed and the IB force. Instead of the Dirac delta function, the Lagrange interpolation polynomial is used to obtain the IB speed from nearby fluid velocity. Typical cases, including the flow around a circular cylinder, shearing flow near a non-slip wall, and circular Couette flow between two inversely rotating cylinders, are simulated to verify and validate the method. It is shown that the present method guarantees the non-slip boundary condition and maintain the overall first-order spatial convergence rate of the conventional immersed boundary method (IBM). The accuracy improvement is obvious for both stationary and moving solid boundaries in both viscous flows and strong shearing flows. To demonstrate application possibility, a mechanical heart valve flow is also simulated, and better agreements with experimental data are achieved compared to those by commercial software.Item Affinization of category 𝒪 for quantum groups(2014-05) Mukhin, Eugene; Young, C. A. S.; Department of Mathematical Sciences, School of ScienceLet be a simple Lie algebra. We consider the category of those modules over the affine quantum group whose -weights have finite multiplicity and lie in a finite union of cones generated by negative roots. We show that many properties of the category of the finite-dimensional representations naturally extend to the category . In particular, we define the minimal affinizations of parabolic Verma modules. In types ABCFG we classify these minimal affinizations and conjecture a Weyl denominator type formula for their characters.Item Amphetamine enhances endurance by increasing heat dissipation(APS, 2016-09-01) Morozova, Ekaterina; Yoo, Yeonjoo; Behrouzvaziri, Abolhassan; Zaretskaia, Maria; Rusyniak, Daniel; Zaretsky, Dmitry; Molkov, Yaroslav; Department of Mathematical Sciences, School of ScienceAthletes use amphetamines to improve their performance through largely unknown mechanisms. Considering that body temperature is one of the major determinants of exhaustion during exercise, we investigated the influence of amphetamine on the thermoregulation. To explore this, we measured core body temperature and oxygen consumption of control and amphetamine‐trea ted rats running on a treadmill with an incrementally increasing load (both speed and incline). Experimental results showed that rats treated with amphetamine (2 mg/kg) were able to run significantly longer than control rats. Due to a progressively increasing workload, which was matched by oxygen consumption, the control group exhibited a steady increase in the body temperature. The administration of amphetamine slowed down the temperature rise (thus decreasing core body temperature) in the beginning of the run without affecting oxygen consumption. In contrast, a lower dose of amphetamine (1 mg/kg) had no effect on measured parameters. Using a mathematical model describing temperature dynamics in two compartments (the core and the muscles), we were able to infer what physiological parameters were affected by amphetamine. Modeling revealed that amphetamine administration increases heat dissipation in the core. Furthermore, the model predicted that the muscle temperature at the end of the run in the amphetamine‐treated group was significantly higher than in the control group. Therefore, we conclude that amphetamine may mask or delay fatigue by slowing down exercise‐induced core body temperature growth by increasing heat dissipation. However, this affects the integrity of thermoregulatory system and may result in potentially dangerous overheating of the muscles.Item Analysis of nonlinear poro-elastic and poro-visco-elastic models(Springer, 2016-12) Bociu, Lorena; Guidoboni, Giovanna; Sacco, Riccardo; Webster, Justin T.; Department of Mathematical Sciences, School of ScienceWe consider the initial and boundary value problem for a system of partial differential equations describing the motion of a fluid–solid mixture under the assumption of full saturation. The ability of the fluid phase to flow within the solid skeleton is described by the permeability tensor, which is assumed here to be a multiple of the identity and to depend nonlinearly on the volumetric solid strain. In particular, we study the problem of the existence of weak solutions in bounded domains, accounting for non-zero volumetric and boundary forcing terms. We investigate the influence of viscoelasticity on the solution functional setting and on the regularity requirements for the forcing terms. The theoretical analysis shows that different time regularity requirements are needed for the volumetric source of linear momentum and the boundary source of traction depending on whether or not viscoelasticity is present. The theoretical results are further investigated via numerical simulations based on a novel dual mixed hybridized finite element discretization. When the data are sufficiently regular, the simulations show that the solutions satisfy the energy estimates predicted by the theoretical analysis. Interestingly, the simulations also show that, in the purely elastic case, the Darcy velocity and the related fluid energy might become unbounded if indeed the data do not enjoy the time regularity required by the theory.Item The asymptotic behaviour of the discrete holomorphic map Za via the Riemann-Hilbert method(Duke, 2016) Bobenko, Alexander I.; Its, Alexander; Department of Mathematical Sciences, School of ScienceWe study the asymptotic behavior of the discrete analogue of the holomorphic map zaza. The analysis is based on the use of the Riemann–Hilbert approach. Specifically, using the Deift–Zhou nonlinear steepest descent method we prove the asymptotic formulas which were conjectured in 2000.Item Balanced excitation and inhibition in temperature responses to meth(Taylor & Francis, 2014-10-30) Molkov, Yaroslav I.; Zaretsky, Dmitry V.; Department of Mathematical Sciences, School of ScienceFatal hyperthermia after administration of various amphetamines is well-known clinical phenomenon, however, there is no consistent theory explaining its etiology and/or pathogenesis. Dose-dependence of temperature responses to methamphetamine is intricate. Recently, using mathematical modeling it was suggested that delicate interplay of excitatory and inhibitory mechanisms underlies this complexity.Item Bethe subalgebras in affine Birman–Murakami–Wenzl algebras and flat connections for q-KZ equations(IOP, 2016-04) Isaev, A. P.; Kirillov, A. N.; Tarasov, Vitaly; Department of Mathematical Sciences, School of ScienceCommutative sets of Jucys–Murphy elements for affine braid groups of ${A}^{(1)},{B}^{(1)},{C}^{(1)},{D}^{(1)}$ types were defined. Construction of R-matrix representations of the affine braid group of type ${C}^{(1)}$ and its distinguished commutative subgroup generated by the ${C}^{(1)}$-type Jucys–Murphy elements are given. We describe a general method to produce flat connections for the two-boundary quantum Knizhnik–Zamolodchikov equations as necessary conditions for Sklyanin's type transfer matrix associated with the two-boundary multicomponent Zamolodchikov algebra to be invariant under the action of the ${C}^{(1)}$-type Jucys–Murphy elements. We specify our general construction to the case of the Birman–Murakami–Wenzl algebras (BMW algebras for short). As an application we suggest a baxterization of the Dunkl–Cherednik elements ${Y}^{\prime }{\rm{s}}$ in the double affine Hecke algebra of type A.Item Bifurcation study of blood flow control in the kidney.(Elsevier, 2015-05) Ford Versypt, Ashlee N.; Makrides, Elizabeth; Arciero, Julia C.; Ellwein, Laura; Layton, Anita T.; Department of Mathematical Sciences, School of ScienceRenal blood flow is maintained within a narrow window by a set of intrinsic autoregulatory mechanisms. Here, a mathematical model of renal hemodynamics control in the rat kidney is used to understand the interactions between two major renal autoregulatory mechanisms: the myogenic response and tubuloglomerular feedback. A bifurcation analysis of the model equations is performed to assess the effects of the delay and sensitivity of the feedback system and the time constants governing the response of vessel diameter and smooth muscle tone. The results of the bifurcation analysis are verified using numerical simulations of the full nonlinear model. Both the analytical and numerical results predict the generation of limit cycle oscillations under certain physiologically relevant conditions, as observed in vivo.Item Branching rules for quantum toroidal gl (n)(2013) Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, Eugene; Department of Mathematical Sciences, School of ScienceWe construct an analog of the subalgebra Ugl(n) ⊗ Ugl(m) ⊂ Ugl(m + n) in the setting of quantum toroidal algebras and study the restrictions of various representations to this subalgebra.