Generalization of Lyapunov Center Theorem for Hamiltonian systems via normal forms theory

Autor: Gołębiewska, A., Rybicki, S.

In this article we formulate and prove sufficient conditions for the existence of trajectories of nonstationary periodic solutions of autonomous Hamiltonian systems in a neighbourhood of equilibria. It is worth pointing out that assumptions of some w

Externí odkaz: http://arxiv.org/abs/2406.14053

Protocol using ex vivo mouse brain slice culture mimicking in vivo conditions to study tumor growth and cell motility of glioblastoma cells

Autor: Laura Neises, Catherine Delbrouck, Anne Schuster, Mahsa Rezaipour, Kim Eiden, Anais Oudin, Carina Fabian, Simone P. Niclou, Anna Golebiewska, Johannes Meiser

Publikováno v: STAR Protocols, Vol 5, Iss 4, Pp 103401- (2024)

Summary: Herein, we present an ex vivo approach to study glioblastoma (GBM) cell motility in viable mouse brain slice cultures, closely mimicking in vivo features. We detail the preparation and culturing of mouse brain slices followed by tumor cell i

Externí odkaz: https://doaj.org/article/45be177943ce484f8d03edc7d94b6004

Stabilization of stochastic dynamical systems of a random structure with Markov switches and Poisson perturbations

Autor: Lukashiv, Taras, Litvinchuk, Yuliia, Malyk, Igor, Golebiewska, Anna, Nazarov, Petr V.

Publikováno v: Mathematics 2023, 11(3), 582

An optimal control for a dynamical system optimizes a certain objective function. Here we consider the construction of an optimal control for a stochastic dynamical system with a random structure, Poisson perturbations and random jumps, which makes t

Externí odkaz: http://arxiv.org/abs/2212.07846

An inclusive Research and Education Community (iREC) model to facilitate undergraduate science education reform

Autor: Denise L. Monti, Julia C. Gill, Tamarah L. Adair, Sandra D. Adams, Yesmi Patricia Ahumada-Santos, Isabel Amaya, Kirk Anders, Justin R. Anderson, Mauricio S. Antunes, Mary Ayuk, Frederick Baliraine, Tonya C. Bates, Andrea R. Beyer, Suparna Bhalla, Tejas Bouklas, Sharon K. Bullock, Kristen A. Butela, Christine Byrum, Steven M. Caruso, Rebecca Chong, Hui-Min Chung, Stephanie B. Conant, Brett Condon, Katie E. Crump, Tom D'Elia, Megan K. Dennis, Linda C. DeVeaux, Lautaro Diacovich, Arturo Diaz, Iain Duffy, Dustin Edwards, Patricia C. Fallest-Strobl, Ann Findley, Matthew R. Fisher, Marie P. Fogarty, Victoria Jane Frost, Maria D. Gainey, Courtney S. Galle, Bryan Gibb, Urszula Golebiewska, Hugo Gramajo, Anna S. Grinath, Jennifer Guerrero, Nancy Guild, Kathryn E. Gunn, Susan Gurney, Lee E. Hughes, Pradeepa Jayachandran, Kristen Johnson, Allison Johnson, Alison E. Kanak, Michelle L. Kanther, Rodney A. King, Kathryn Kohl, Julia Lee-Soety, Lynn O. Lewis, Heather Lindberg, Jaclyn A. Madden, Breonna J. Martin, Matthew D. Mastropaolo, Sean McClory, Evan C. Merkhofer, Julie A. Merkle, Jon Mitchell, María Alejandra Mussi, Fernando Nieto, Jillian Nissen, Imade Yolanda Nsa, Mary G. O'Donnell, R. Deborah Overath, Shallee T. Page, Andrea Panagakis, Jesús Ricardo Parra Unda, Michelle B. Pass, Tiara Perez Morales, Nick T. Peters, Ruth Plymale, Richard Pollenz, Nathan S. Reyna, Claire A. Rinehart, Jessica Rocheleau, John S. Rombold, Ombeline Rossier, Adam D. Rudner, Elizabeth E. Rueschhoff, Christopher D. Shaffer, Mary Ann V. Smith, Amy B. Sprenkle, C. Nicole Sunnen, Michael A. Thomas, Michelle M. Tigges, Deborah Tobiason, Sara Sybesma Tolsma, Julie Torruellas Garcia, Peter Uetz, Edwin Vazquez, Catherine M. Ward, Vassie C. Ware, Jacqueline M. Washington, Matthew J. Waterman, Daniel E. Westholm, Keith A. Wheaton, Simon J. White, Elizabeth C. Williams, Daniel C. Williams, Ellen M. Wisner, William H. Biederman, Steven G. Cresawn, Danielle M. Heller, Deborah Jacobs-Sera, Daniel A. Russell, Graham F. Hatfull, David J. Asai, David I. Hanauer, Mark J. Graham, Viknesh Sivanathan

Publikováno v: Frontiers in Education, Vol 9 (2024)

Over the last two decades, there have been numerous initiatives to improve undergraduate student outcomes in STEM. One model for scalable reform is the inclusive Research Education Community (iREC). In an iREC, STEM faculty from colleges and universi

Externí odkaz: https://doaj.org/article/f50dca97413047c5972e7d31f6d2f587

Magnetic resonance imaging-guided intracranial resection of glioblastoma tumors in patient-derived orthotopic xenografts leads to clinically relevant tumor recurrence

Autor: Anais Oudin, Pilar M. Moreno-Sanchez, Virginie Baus, Simone P. Niclou, Anna Golebiewska

Publikováno v: BMC Cancer, Vol 24, Iss 1, Pp 1-14 (2024)

Abstract Background Preclinical in vivo cancer models are essential tools for investigating tumor progression and response to treatment prior to clinical trials. Although treatment modalities are regularly assessed in mice upon tumor growth in vivo,

Externí odkaz: https://doaj.org/article/5527119175424e31af69883de21c6e6b