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1. Pattern Formation as a Resilience Mechanism in Cancer Immunotherapy
   2025/03/26 by Brennan, Molly, Krause, Andrew L., Villar-Sepúlveda, Edgardo +1 · 1 citation
   #35B36 #35K57 (secondary) #92C15 (primary) 92C50 #FOS: Biological sciences #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Tissues and Organs (q-bio.TO)
2. Neural field equations with time-periodic external inputs and some applications to visual processing
   2024/07/24 by Bolelli, Maria Virginia, Prandi, Dario · 2 citations
   #35B36 #45A05 #45K05 #92C20 #93C20 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Neurons and Cognition (q-bio.NC) #Optimization and Control (math.OC)
3. Approximating particle-based clustering dynamics by stochastic PDEs
   2024/07/12 by Nathalie Wehlitz, Wehlitz, Nathalie, Mohsen Sadeghi +9 · 1 citation
   Computer Science · #35B36 #35Q70 #35R09 #35R60 #65C35 #Advanced Clustering Algorithms Research #FOS: Biological sciences #FOS: Mathematics #Probability (math.PR) #Quantitative Methods (q-bio.QM)
4. A rigorous approach to pattern formation for isotropic isoperimetric problems with competing nonlocal interactions
   2024/06/19 by Daneri, Sara, Runa, Eris · 1 citation
   #35B36 #49Q10 #49Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
5. Turing instabilities for three interacting species
   2024/05/23 by Piskovsky, Vit · 2 citations
   #35B36 #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Quantitative Methods (q-bio.QM) #Spectral Theory (math.SP)
6. Pitchfork bifurcation along a slow parameter ramp: coherent structures in the critical scaling
   2024/01/11 by Goh, Ryan, Kaper, Tasso J., Scheel, Arnd · 1 citation
   #34C08 #34E13 #35B25 #35B32 #35B36 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)
7. A mathematical model of the visual MacKay effect
   2023/11/13 by Cyprien Tamekue, Dario Prandi, Tamekue, Cyprien +3 · 2 citations
   Biochemistry, Genetics and Molecular Biology · Neuroscience · #35B36 #45A05 #45K05 #92C20 #93C20 #Advanced Fluorescence Microscopy Techniques #Analysis of PDEs (math.AP) #FOS: Biological sciences #FOS: Mathematics #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Visual perception and processing mechanisms
8. A two-timescale model of plankton-oxygen dynamics predicts formation of Oxygen Minimum Zones and global anoxia
   2023/09/27 by Chowdhury, Pranali Roy, Banerjee, Malay, Petrovskii, Sergei · 1 citation
   #34C23 #35B36 #35K57 #92D40 #Dynamical Systems (math.DS) #FOS: Mathematics
9. Optimal pinwheel partitions for the Yamabe equation
   2023/09/02 by Clapp, Mónica, Faya, Jorge, Saldaña, Alberto · 1 citation
   #35B06 #35B33 #35B36 #35J50 #Analysis of PDEs (math.AP) #FOS: Mathematics
10. Weakly nonlinear analysis of a two-species non-local advection-diffusion system
    2023/05/24 by Valeria Giunta, Thomas Hillen, Giunta, Valeria +5 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · #35B32 #35B36 #35C20 #35Q92 #Analysis of PDEs (math.AP) #Evolution and Genetic Dynamics #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation
11. The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line
    2023/04/21 by D. J. Needham, Needham, D. J., J. Billingham +5 · 1 citation
    Medicine · #35B36 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models
12. Growing patterns
    2023/02/27 by Ryan Goh, Arnd Scheel, Goh, Ryan +1 · 1 citation
    Materials Science · #35A18 #35B32 #35B36 #92C15 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Solidification and crystal growth phenomena
13. Phenotype switching in chemotaxis aggregation models controls the spontaneous emergence of large densities
    2022/10/10 by Painter, Kevin J, Winkler, Michael · 1 citation
    #35B36 #35B44 (primary) #35B45 #35K55 #92C17 (secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics
14. A local continuum model of cell-cell adhesion
    2022/06/29 by Falcó, Carles, Baker, Ruth E., Carrillo, José A. · 1 citation
    #35B36 #35G20 #35Q92 #92C15 #Analysis of PDEs (math.AP) #Cell Behavior (q-bio.CB) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)
15. Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species
    2022/06/15 by Valeria Giunta, Thomas Hillen, Giunta, Valeria +5 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #35B36 #35B38 #35Q92 #92D25 #92D40 #Analysis of PDEs (math.AP) #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Pattern Formation and Solitons (nlin.PS) #Populations and Evolution (q-bio.PE)
16. Stable discontinuous stationary solutions to reaction-diffusion-ODE systems
    2021/11/01 by Cygan, Szymon, Karch, Grzegorz, Marciniak-Czochra, Anna +1 · 1 citation
    #35B35 #35B36 #35K57 #92C15 #Analysis of PDEs (math.AP) #FOS: Mathematics
17. Oscillations and pattern formation in a slow-fast prey-predator system
    2021/07/28 by Chowdhury, Pranali Roy, Petrovskii, Sergei, Banerjee, Malay · 1 citation
    #35B36 #92C15 #Dynamical Systems (math.DS) #FOS: Mathematics
18. Strain and defects in oblique stripe growth
    2021/02/04 by Chen, Kelly, Deiman, Zachary, Goh, Ryan +2 · 1 citation
    #35B36 #35C07 #35R37 #74E15 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)
19. Spiral waves: linear and nonlinear theory
    2020/02/24 by Björn Sandstede, Arnd Scheel, Sandstede, Björn +1 · 2 citations
    Computer Science · Physics and Astronomy · #35B36 #35B40 #37L15 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #Quantum chaos and dynamical systems
20. Hexagon Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift-Hohenberg Equation
    2019/11/10 by Lloyd, David J. B. · 1 citation
    #35B32 #35B36 #37C29 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)
21. Spontaneous periodic orbits in the Navier-Stokes flow
    2019/02/01 by Berg, Jan Bouwe van den, Breden, Maxime, Lessard, Jean-Philippe +1 · 2 citations
    #35B06 #35B10 #35B36 #35Q30 #65G20 #76D17 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)
22. Pattern Formation in a Slowly Flattening Spherical Cap: Delayed Bifurcation
    2018/10/10 by Charette, Laurent, Macdonald, Colin B., Nagata, Wayne · 1 citation
    #34E20 #35B32 #35B36 #35K57 #37C60 #37G05 #37G40 #37K50 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)
23. A mesoscopic model of biological transportation networks
    2018/05/31 by Burger, Martin, Haskovec, Jan, Markowich, Peter +1 · 1 citation
    #35B36 #35K55 #49J20 #92C42 #Analysis of PDEs (math.AP) #FOS: Mathematics
24. Existence, Bifurcation, and Geometric Evolution of Quasi-Bilayers in the Multicomponent Functionalized Cahn-Hilliard Equation
    2015/10/28 by Promislow, Keith, Wu, Qiliang · 1 citation
    #34L05 #35B36 #35Q92 #45M05 #47A55 #92B05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics
25. A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls
    2014/06/10 by Raphaël Côte, Radu Ignat, Cote, Raphael +3 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #35B36 #49Q20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35K60 #Secondary 35Q60 #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
26. Sparse Stabilization and Control of Alignment Models
    2012/10/21 by Marco Caponigro, Massimo Fornasier, Caponigro, Marco +5 · 1 citation
    Environmental Science · Mathematics · Medicine · #34D45 #35B36 #49J15 #65K10 #93B05 #93D15 #Ecosystem dynamics and resilience #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Optimization and Control (math.OC)
27. A High-Order Kernel Method for Diffusion and Reaction-Diffusion\n Equations on Surfaces
    2012/05/31 by Edward J. Fuselier, Fuselier, Edward J., Grady B. Wright +1 · 2 citations
    Computer Science · Mathematics · #35B36 #35K57 #41A05 #41A25 #41A30 #41A63 #46E22 #58J45 #65D25 #65M20 #65M70 #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems