Mathematical Biology: II: Spatial Models and Biomedical Applications

Cited by (1,000)

Items 201–300 of 1,000

1. Stationary multiple spots for reaction–diffusion systems
   Juncheng Wei, Matthias Winter · 2007 · Journal of Mathematical Biology
2. Adding police to a mathematical model of burglary
   A. Pitcher · 2010 · European Journal of Applied Mathematics
3. Analysis of a spatial memory model with nonlocal maturation delay and hostile boundary condition
   Qi An, Chuncheng Wang, Hao Wang A · 2020 · Discrete and Continuous Dynamical Systems
4. Pigmentation pattern formation in butterflies: experiments and models
   H. Frederik Nijhout, Philip K. Maini, Anotida Madzvamuse, Andy Wathen, Toshio Sekimura · 2003 · Comptes Rendus Biologies
5. Numerical modelling of label-structured cell population growth using CFSE distribution data
   Tatyana Luzyanina, Dirk Roose, Tim Schenkel, Martina Sester, Stephan R. Ehl, Andreas Meyerhans, Gennady Alekseevich Bocharov · 2007 · Theoretical Biology and Medical Modelling
6. MICRO AND MESO SCALES OF DESCRIPTION CORRESPONDING TO A MODEL OF TISSUE INVASION BY SOLID TUMOURS
   Mirosław Lachowicz · 2005 · Mathematical Models and Methods in Applied Sciences
7. Belousov-Zhabotinsky type reactions: the non-linear behavior of chemical systems
   Andrea Cassani, Alessandro Hugo Monteverde Videla, Marco Piumetti · 2021 · Journal of Mathematical Chemistry
8. Computational Models of Sprouting Angiogenesis and Cell Migration: Towards Multiscale Mechanochemical Models of Angiogenesis
   Tommy Heck, Marie‐Mo Vaeyens, Hans Van Oosterwyck · 2015 · Mathematical Modelling of Natural Phenomena
9. Chemotactic Motility-Induced Phase Separation
   Hongbo Zhao, Andrej Košmrlj, Sujit Sankar Datta · 2023 · Physical Review Letters
10. Non-linear dynamics of biological systems
    Natalia Janson · 2012 · Contemporary Physics
11. Genetic drift in range expansions is very sensitive to density dependence in dispersal and growth
    Gabriel Bîrzu, Sakib Matin, Oskar Hallatschek, Kirill S. Korolev · 2019 · Ecology Letters
12. Nonlinear stability analyses of Turing patterns for a mussel-algae model
    Richard A. Cangelosi, David J. Wollkind, Bonni J. Kealy-Dichone, Inthira Chaiya · 2014 · Journal of Mathematical Biology
13. On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence
    Nikos I. Karachalios, Nikos B. Zographopoulos · 2005 · Calculus of Variations and Partial Differential Equations
14. A PHENOMENOLOGICAL OPERATOR DESCRIPTION OF INTERACTIONS BETWEEN POPULATIONS WITH APPLICATIONS TO MIGRATION
    Fabio Bagarello, Francesco Oliveri · 2012 · Mathematical Models and Methods in Applied Sciences
15. How to scale up from animal movement decisions to spatiotemporal patterns: An approach via step selection
    Jonathan R. Potts, Luca Börger · 2022 · Journal of Animal Ecology
16. Dynamics of competing ideas in complex social systems
    Yubo Wang, Gaoxi Xiao, Jian Liu · 2012 · New Journal of Physics
17. Transformation from Spots to Waves in a Model of Actin Pattern Formation
    Stephen Whitelam, Till Bretschneider, Nigel John Burroughs · 2009 · Physical Review Letters
18. Existence of solutions of the hyperbolic Keller-Segel model
    Benoît Perthame B, Anne-Laure Dalibard · 2008 · Transactions of the American Mathematical Society
19. Population extinction in discrete-time stochastic population models with an Allee effect
    Linda J. S. Allen, Jesse F. Fagan, Göran Högnäs, Henrik Fagerholm · 2005 · The Journal of Difference Equations and Applications
20. Turing Instabilities at Hopf Bifurcation
    M Rodríguez Ricard, Stéphane Mischler · 2009 · Journal of Nonlinear Science
21. Mathematical modeling and mechanisms of pattern formation in ecological systems: a review
    Gui‐Quan Sun, Hong-Tao Zhang, Jinshan Wang, Jing Li, Yi Wang, Li Li, Yong-Ping Wu, Guolin Feng, Zhen Jin · 2021 · Nonlinear Dynamics
22. Diffusion-Controlled Reactions: An Overview
    Denis S. Grebenkov · 2023 · Molecules
23. Using wavelength and slope to infer the historical origin of semiarid vegetation bands
    Jonathan A. Sherratt · 2015 · Proceedings of the National Academy of Sciences
24. Turing pattern formation with fractional diffusion and fractional reactions
    T. A. M. Langlands, Bruce Ian Henry, Susan L. Wearne · 2007 · Journal of Physics Condensed Matter
25. Analysis of a predator–prey model with herd behavior and disease in prey incorporating prey refuge
    Sangeeta Saha, G. P. Samanta · 2018 · International Journal of Biomathematics
26. Geographic Variation of Melanisation Patterns in a Hornet Species: Genetic Differences, Climatic Pressures or Aposematic Constraints?
    A. Perrard, Mariangela Arca, Quentin Rome, Franck J. Muller, Jiang-Li Tan, Sanjaya Bista, Hari Nugroho, Raymond Baudoin, Michel Baylac, Jean-François Silvain et al. · 2014 · PLoS ONE
27. Self-organized wave pattern in a predator-prey model
    Gui‐Quan Sun, Zhen Jin, Li Li, Bai-Lian Li · 2009 · Nonlinear Dynamics
28. Theory of mechanochemical patterning in biphasic biological tissues
    Pierre Recho, Adrien Hallou, Édouard Hannezo · 2019 · Proceedings of the National Academy of Sciences
29. Bespoke Turing Systems
    Thomas E. Woolley, Andrew L. Krause, Eamonn A. Gaffney · 2021 · Bulletin of Mathematical Biology
30. Discriminating between rival biochemical network models: three approaches to optimal experiment design
    Mélykúti, Bence, August, Elias, Papachristodoulou, Antonis, El-Samad, Hana · 2010 · BMC Systems Biology
31. Vaccine market coordination using subsidy
    Hamed Mamani, Elodie Adida, Debabrata Dey · 2012 · IIE Transactions on Healthcare Systems Engineering
32. Network Formation of Tissue Cells via Preferential Attraction to Elongated Structures
    András Szabó, Erica D. Perryn, András Czirók · 2007 · Physical Review Letters
33. Optimization of Influenza Vaccine Selection
    Joseph Tsz Kei Wu, Lawrence M. Wein, Alan S. Perelson · 2005 · Operations Research
34. When does cyclic dominance lead to stable spiral waves?
    Bartosz Szczesny, Mauro Mobilia, Alastair M. Rucklidge · 2013 · Europhysics Letters (EPL)
35. Multistability and dynamic transitions of intracellular Min protein patterns
    Fabai Wu, Jacob Halatek, Matthias Reiter, Enzo Martino Kingma, Erwin Frey, Cees Dekker · 2016 · Molecular Systems Biology
36. On the Dynamics of a Diffusive Foot-and-Mouth Disease Model with Nonlocal Infections
    Gui‐Quan Sun, Hong-Tao Zhang, Lili Chang, Zhen Jin, Hao Wang A, Shigui Ruan · 2022 · SIAM Journal on Applied Mathematics
37. Mathematical models in morphogenesis
    Philip K. Maini · 1999 · Lecture notes in mathematics
38. Parameter-space topology of models for cell polarity
    Philipp Khuc Trong, Ernesto M. Nicola, Nathan W. Goehring, K. Vijay Kumar, Stephan W. Grill · 2014 · New Journal of Physics
39. Formation and control of Turing patterns in a coherent quantum fluid
    Vincenzo Ardizzone, Przemyslaw Lewandowski, M. H. Luk, Yu Chung Tse, N. H. Kwong, A. Lücke, Marco Abbarchi, Emmanuel Baudin, E. Galopin, Jacqueline Bloch et al. · 2013 · Scientific Reports
40. A Physics-Informed Neural Network Framework for PDEs on 3D Surfaces: Time Independent Problems
    Zhiwei Fang, Justin Zhan · 2019 · IEEE Access
41. Turing pattern dynamics in an activator-inhibitor system with superdiffusion
    Lai Zhang, Canrong Tian · 2014 · Physical Review E
42. Kidney branching morphogenesis under the control of a ligand–receptor-based Turing mechanism
    Denis Menshykau, Dagmar Iber · 2013 · Physical Biology
43. Reaction-Diffusion Pattern in Shoot Apical Meristem of Plants
    Hironori Fujita, Koichi Toyokura, Kiyotaka Okada, Masayoshi Kawaguchi · 2011 · PLoS ONE
44. Extinction rates of established spatial populations
    Baruch Meerson, Pavel Vasilievich Sasorov · 2011 · Physical Review E
45. RANDOM DIFFERENTIAL EQUATIONS WITH RANDOM DELAYS
    María José Garrido-Atienza, A. Ogrowsky, Björn Schmalfuß · 2011 · Stochastics and Dynamics
46. Towards an integrated experimental–theoretical approach for assessing the mechanistic basis of hair and feather morphogenesis
    Kevin J. Painter, G. S. Hunt, Kirsty L. Wells, Jeanette Astorga Johansson, Denis J. Headon · 2012 · Interface Focus
47. A mathematical analysis of physiological and morphological aspects of wound closure
    E. Javierre, Fred J. Vermolen, C. Vuik, Sybrand van der Zwaag · 2008 · Journal of Mathematical Biology
48. Dispersal-induced destabilization of metapopulations and oscillatory Turing patterns in ecological networks
    Shigefumi Hata, Hiroya Nakao, Alexander S. Mikhailov · 2014 · Scientific Reports
49. Flow Control of A + B → C Fronts by Radial Injection
    Fabian Brau, Gábor Schuszter, A. De Wit · 2017 · Physical Review Letters
50. Stability of traveling waves: dichotomies and eigenvalue conditions on finite intervals
    Wolf‐Jürgen Beyn, Jens Lorenz · 1999 · Numerical Functional Analysis and Optimization
51. Deterministic and stochastic analysis of a prey-dependent predator–prey system
    Alakes Maiti, G. P. Samanta · 2005 · International Journal of Mathematical Education in Science and Technology
52. How community ecology links natural mortality, growth, and production of fish populations
    Ken Haste Andersen, Keith D. Farnsworth, M. Pedersen, Henrik Gislason, Jan Erik Beyer · 2009 · ICES Journal of Marine Science
53. Topographic determinants of foot and mouth disease transmission in the UK 2001 epidemic
    Nicholas Jon Savill, Darren J. Shaw, Rob Deardon, Michael J. Tildesley, Matt J. Keeling, Mark E. J. Woolhouse, Stephen P. Brooks, Bryan Thomas Grenfell · 2006 · BMC Veterinary Research
54. Networking—a statistical physics perspective
    Chi Ho Yeung, David Saad · 2013 · Journal of Physics A Mathematical and Theoretical
55. Drift of dark cavity solitons in a photonic-crystal fiber resonator
    Mustapha Tlidi, Lies Bahloul, Lynda Cherbi, A. Hariz, S. Coulibaly · 2013 · Physical Review A
56. Stationary and time-periodic patterns of two-predator and one-prey systems with prey-taxis
    Ke Wang, Qi Wang, Feng Yu · 2016 · Discrete and Continuous Dynamical Systems
57. Numerical simulation of fractional-order reaction–diffusion equations with the Riesz and Caputo derivatives
    Kolade Matthew Owolabi · 2019 · Neural Computing and Applications
58. On the optimal control of the Schlögl-model
    R. Buchholz, Harald Engel, Eileen Kammann, Fredi Tröltzsch · 2013 · Computational Optimization and Applications
59. Pattern Dynamics in Adaxial-Abaxial Specific Gene Expression Are Modulated by a Plastid Retrograde Signal during Arabidopsis thaliana Leaf Development
    Toshiaki Tameshige, Hironori Fujita, Keiro Watanabe, Koichi Toyokura, Maki Kondo, Kiyoshi Tatematsu, Noritaka Matsumoto, Ryuji Tsugeki, Masayoshi Kawaguchi, Mikio Nishimura et al. · 2013 · PLoS Genetics
60. Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source
    Ke Lin, Chunlai Mu · 2017 · Discrete and Continuous Dynamical Systems - B
61. Dynamics of a nonlocal dispersal SIS epidemic model
    Fei-Ying Yang, Wan‐Tong Li · 2017 · Communications on Pure &amp Applied Analysis
62. PARAMETER IDENTIFICATION TECHNIQUES FOR PARTIAL DIFFERENTIAL EQUATIONS
    T. G. MÜLLER, Jens Timmer · 2004 · International Journal of Bifurcation and Chaos
63. Phenomenological modelling of self-healing polymers based on integrated healing agents
    Mergheim, Julia, Steinmann, Paul · 2013 · Computational Mechanics
64. Turing patterns in a predator–prey model on complex networks
    Chen Liu, Lili Chang, Yue Huang, Zhen Wang · 2020 · Nonlinear Dynamics
65. An age and space structured SIR model describing the Covid-19 pandemic
    Rinaldo M. Colombo, Mauro Garavello, Francesca Marcellini, Elena Rossi · 2020 · Journal of Mathematics in Industry
66. A Fibrocontractive Mechanochemical Model of Dermal Wound Closure Incorporating Realistic Growth Factor Kinetics
    Kelly E. Murphy, Cameron L. Hall, Philip K. Maini, Scott William McCue, D. L. S. McElwain · 2012 · Bulletin of Mathematical Biology
67. THE FORMATION OF VORONOI DIAGRAMS IN CHEMICAL AND PHYSICAL SYSTEMS: EXPERIMENTAL FINDINGS AND THEORETICAL MODELS
    Ben de Lacy Costello, Norman A. Ratcliffe, Andrew Adamatzky, A. L. Zanin, Andreas W. Kempa-Liehr, Hans-Georg Purwins · 2004 · International Journal of Bifurcation and Chaos
68. Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID‐19
    Nicola Guglielmi, Elisa Iacomini, Alex Viguerie · 2022 · Mathematical Methods in the Applied Sciences
69. A simulation analysis to characterize the dynamics of vaccinating behaviour on contact networks
    Ana Perisic, Chris T. Bauch · 2009 · BMC Infectious Diseases
70. Modeling lymphocyte homing and encounters in lymph nodes
    Valentina Baldazzi, Paola Paci, Massimo Bernaschi, Filippo Castiglione · 2009 · BMC Bioinformatics
71. Pilot: probabilistic lightweight group communication system for ad hoc networks
    Jun Luo, Patrick Th. Eugster, Jean‐Pierre Hubaux · 2004 · IEEE Transactions on Mobile Computing
72. Modeling the skin pattern of fishes
    Rafael A. Barrio, Ruth E. Baker, Benjamin L. Vaughan, Karla Christina Tribuzy Bandeira, Marcelo R. de Carvalho, Rodney Carlos Bassanezi, Philip K. Maini · 2009 · Physical Review E
73. Eliminating delay-induced oscillation death by gradient coupling
    Wei Zou, Chenggui Yao, Meng Zhan · 2010 · Physical Review E
74. Stability and Double-Hopf Bifurcations of a Gause–Kolmogorov-Type Predator–Prey System with Indirect Prey-Taxis
    Wenjie Zuo, Yongli Song · 2020 · Journal of Dynamics and Differential Equations
75. The Statistical Signature of Pervasive Competition on Wage and Salary Incomes
    John Angle · 2002 · Journal of Mathematical Sociology
76. Vegetation pattern formation of a water-biomass model
    Xiaoli Wang, Wendi Wang, Guohong Zhang · 2016 · Communications in Nonlinear Science and Numerical Simulation
77. HydraRegeneration: Closing the Loop with Mechanical Processes in Morphogenesis
    Erez Braun, Kinneret Keren · 2018 · BioEssays
78. Reaction-diffusion spatial modeling of COVID-19: Greece and Andalusia as case examples
    P. G. Kevrekidis, Jesús Cuevas–Maraver, Yannis Drossinos, Zoi Rapti, George A. Kevrekidis · 2021 · Physical review. E
79. Invariant measures of stochastic delay lattice systems
    Zhang Chen, Xiliang Li, Bixiang Wang · 2020 · Discrete and Continuous Dynamical Systems - B
80. Pair-level approximations to the spatio-temporal dynamics of epidemics on asymmetric contact networks
    Kieran J. Sharkey, Carmen Fernández, Kenton L. Morgan, E. J. Peeler, Mark Thrush, James F Turnbull, Roger Bowers · 2006 · Journal of Mathematical Biology
81. Optimal harvesting of a two species competition model with imprecise biological parameters
    Swarnali Sharma, G. P. Samanta · 2014 · Nonlinear Dynamics
82. Mechanistic invasive species management models and their application in conservation
    Brielle K. Thompson, Julian D. Olden, Sarah J. Converse · 2021 · Conservation Science and Practice
83. The geometry of coexistence
    Priyanga Amarasekare · 2000 · Biological Journal of the Linnean Society
84. Biological modeling with nonlocal advection–diffusion equations
    Kevin J. Painter, Thomas Hillen, Jonathan R. Potts · 2023 · Mathematical Models and Methods in Applied Sciences
85. A reaction–diffusion mechanism influences cell lineage progression as a basis for formation, regeneration, and stability of intestinal crypts
    Lei Zhang, Arthur D. Lander, Qing Hua Nie · 2012 · BMC Systems Biology
86. Evolutionary Developmental Biology and the Limits of Philosophical Accounts of Mechanistic Explanation
    Ingo Brigandt · 2015 · History, philosophy and theory of the life sciences
87. The transmission and persistence of ‘urban legends’: Sociological application of age‐structured epidemic models
    Andrew Noymer · 2001 · Journal of Mathematical Sociology
88. Spatiotemporal dynamics of a glioma immune interaction model
    Subhas Khajanchi, Juanjo Nieto · 2021 · Scientific Reports
89. Complex Turing patterns in chaotic dynamics of autocatalytic reactions with the Caputo fractional derivative
    Kolade Matthew Owolabi, Ravi P. Agarwal, Edson Pindza, Swanhild Bernstein, Mohamed Sayed Ali Osman · 2023 · Neural Computing and Applications
90. A reaction-convection-diffusion model for cholera spatial dynamics
    Xueying Wang, Drew Posny, Jin Wang · 2016 · Discrete and Continuous Dynamical Systems - B
91. Pattern Formation in a Network of Excitatory and Inhibitory Cells with Adaptation
    Rodica Curtu, Bard Ermentrout · 2004 · SIAM Journal on Applied Dynamical Systems
92. Mode Transitions in a Model Reaction–Diffusion System Driven by Domain Growth and Noise
    Iain Barrass, Edmund J. Crampin, Philip K. Maini · 2006 · Bulletin of Mathematical Biology
93. Aging transition and disorder-induced coherence in locally coupled oscillators
    Hiroaki Daido · 2008 · Europhysics Letters (EPL)
94. Tikhonov's theorem and quasi-steady state
    Lena Noethen, Sebastian Walcher · 2011 · Discrete and Continuous Dynamical Systems - B
95. Time-continuous and time-discrete SIR models revisited: theory and applications
    Benjamin Wacker, Jan Schlüter · 2020 · Advances in Difference Equations
96. Multiscale stochastic modelling of gene expression
    Pavol Bokes, John R. King, Andrew T. A. Wood, Matthew Loose · 2011 · Journal of Mathematical Biology
97. Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models
    Valeria Giunta, Thomas Hillen, Mark A. Lewis, Jonathan R. Potts · 2022 · SIAM Journal on Applied Dynamical Systems
98. BIFURCATIONS, AND TEMPORAL AND SPATIAL PATTERNS OF A MODIFIED LOTKA–VOLTERRA MODEL
    Edward A. McGehee, Noel Schutt, Desiderio A. Vasquez, Enrique Peacock-López · 2008 · International Journal of Bifurcation and Chaos
99. A Mechanochemical Model for Embryonic Pattern Formation: Coupling Tissue Mechanics and Morphogen Expression
    Moritz Mercker, Dirk Hartmann, Anna K. Marciniak-Czochra · 2013 · PLoS ONE
100. The Web as a Jungle
     Yasuko Matsubara, Yasushi Sakurai, Christos Faloutsos · 2015 · International World Wide Web Conference (WWW)