Mathematical Biology: II: Spatial Models and Biomedical Applications

Cited by (1,000)

Items 401–500 of 1,000

1. The spatial dimension in environmental and resource economics
   Anastasios Xepapadeas · 2010 · Environment and Development Economics
2. Overcoming Allee effects through evolutionary, genetic, and demographic rescue
   Andrew R. Kanarek, Colleen T. Webb, Michael Barfield, Robert Douglas Holt · 2014 · Journal of Biological Dynamics
3. Migration of adhesive glioma cells: Front propagation and fingering
   Evgeniy Khain, Mark Katakowski, Nicholas P. Charteris, Feng Jiang, Michael Chopp · 2012 · Physical Review E
4. Mathematical modelling of the influence of heat shock proteins on cancer invasion of tissue
   Zuzanna Szymańska, Jakub Urbański, Anna K. Marciniak-Czochra · 2008 · Journal of Mathematical Biology
5. Push or Pull? Cell Proliferation and Migration During Wound Healing
   Adriana Zanca, Jennifer A. Flegg, James M. Osborne · 2022 · Frontiers in Systems Biology
6. Stochastic growth dynamics and composite defects in quenched immiscible binary condensates
   I-Kang Liu, R. W. Pattinson, T. P. Billam, S. A. Gardiner, Simon L. Cornish, Tien-Chi Huang, W.-W. Lin, Shih-Chuan Gou, Nicholas G. Parker, Nick P. Proukakis · 2016 · Physical Review A
7. Glioblastoma brain tumours: estimating the time from brain tumour initiation and resolution of a patient survival anomaly after similar treatment protocols
   J. D. Murray · 2012 · Journal of Biological Dynamics
8. Modelling alcohol problems: total recovery
   Caroline E. Walters, Brian Straughan, Jeremy R. Kendal · 2012 · Ricerche di Matematica
9. Multiscale Analysis of Biological Systems
   Annick Lesne · 2013 · Acta Biotheoretica
10. The phase-field model in tumor growth
    Rui D. M. Travasso, Mario Castro, J. C. R. E. Oliveira · 2010 · The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics
11. A fourth-order compact algorithm for nonlinear reaction-diffusion equations with Neumann boundary conditions
    Wenyuan Liao, Jianping Zhu, Abdul Q. M. Khaliq · 2005 · Numerical Methods for Partial Differential Equations
12. Reaction–Diffusion Equations and Ecological Modeling
    Chris Cosner · 2008 · Lecture notes in mathematics
13. Asymptotic Behavior of a System of Stochastic Particles Subject to Nonlocal Interactions
    Vincenzo Capasso, Daniela Morale · 2009 · Stochastic Analysis and Applications
14. Negative velocity fluctuations of pulled reaction fronts
    Baruch Meerson, Pavel Vasilievich Sasorov · 2011 · Physical Review E
15. An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture
    Rosemary Dyson, J. E. F. Green, J. P. Whiteley, Helen Mary Byrne · 2015 · Journal of Mathematical Biology
16. Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion
    Walid Abid, Radouane Yafia, M. A. Aziz-Alaoui, Ahmed Aghriche · 2018 · International Journal of Bifurcation and Chaos
17. Fast-Diffusion Limit for Reaction–Diffusion Equations with Degenerate Multiplicative and Additive Noise
    Wael W. Mohammed · 2020 · Journal of Dynamics and Differential Equations
18. Mathematical Model of COVID-19 Transmission Dynamics in South Korea: The Impacts of Travel Restrictions, Social Distancing, and Early Detection
    Byul Nim Kim, Eunjung Kim, Sunmi ‍Lee, Chunyoung Oh · 2020 · Processes
19. Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity
    Yujia Wang, Dejun Fan, Chuncheng Wang · 2021 · Journal of Dynamics and Differential Equations
20. Receptor-Based Models with Diffusion-Driven Instability for Pattern Formation in Hydra
    Anna K. Marciniak-Czochra · 2003 · Journal of Biological Systems
21. Oscillation death in coupled oscillators
    Wei Zou, Xingang Wang, Qi Zhao, Meng Zhan · 2009 · 物理学前沿：英文版
22. Spatial Pattern of an Epidemic Model with Cross-diffusion
    Li Li, Zhen Jin, Gui‐Quan Sun · 2008 · Chinese Physics Letters
23. Restoration and enhancement of fingerprint images using M-lattice-a novel nonlinear dynamical system
    Alexander Semyon Sherstinsky, Rosalind W. Picard · 2002 · IAPR International Conference on Pattern Recognition (ICPR)
24. Multiscale modeling and imaging: the challenges of biocomplexity
    Jacques Demongeot A, Johanne Bézy‐Wendling, Julian Mattes, Pascal Haigron, Nicolas Glade, Jean-Louis Coatrieux · 2003 · Proceedings of the IEEE
25. Turing patterns on discrete topologies: from networks to higher-order structures
    Riccardo Muolo, Lorenzo Giambagli, Hiroya Nakao, Duccio Fanelli, Timotéo Carletti · 2024 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
26. Stochastic delay differential equations of three-species prey-predator system with cooperation among prey species
    Fathalla Ali Rihan, Hebatallah J. Alsakaji · 2020 · Discrete and Continuous Dynamical Systems - S
27. Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity
    Xinjian Wang, Guo Lin, Shigui Ruan · 2021 · Proceedings of the Royal Society of Edinburgh Section A Mathematics
28. Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction–diffusion problem
    Natalia Kopteva, Martin Stynes · 2011 · Numerische Mathematik
29. Reaktions‐Diffusions‐Systeme für intrazellulären Transport und Kontrolle
    Siowling Soh, Marta Byrska, Kristiana Kandere‐Grzybowska, Bartosz A. Grzybowski · 2010 · Angewandte Chemie
30. In silico design of treatment strategies in wound healing and bone fracture healing
    Liesbet Geris, Richard C. Schugart, Hans Van Oosterwyck · 2010 · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
31. Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media
    Raimund Bürger, Ricardo Ruíz-Baier, Kai Schneider B · 2010 · Journal of Scientific Computing
32. Existence of spatiotemporal patterns in the reaction–diffusion predator–prey model incorporating prey refuge
    Lakshmi Narayan Guin, Benukar Mondal, Santabrata Chakravarty · 2016 · International Journal of Biomathematics
33. Growth and dispersal with inertia: Hyperbolic reaction-transport systems
    Vicenç Méndez, Daniel Campos, Werner Horsthemke · 2014 · Physical Review E
34. Applying Adomian Decomposition Method to Solve Burgess Equation with a Non-linear Source
    O. González-Gaxiola, Roberto Bernal-Jaquez · 2015 · International Journal of Applied and Computational Mathematics
35. Asymmetric ecological conditions favor Red-Queen type of continued evolution over stasis
    Jan Martin Nordbotten, Nils Chr. Stenseth · 2016 · Proceedings of the National Academy of Sciences
36. Entire Solutions for Nonlocal Dispersal Equations with Bistable Nonlinearity: Asymmetric Case
    Li Zhang, Wan‐Tong Li, Zhi Cheng Wang, Yu Juan Sun · 2019 · Acta Mathematica Sinica English Series
37. Cellular Dialogues: Cell-Cell Communication through Diffusible Molecules Yields Dynamic Spatial Patterns
    Yiteng Dang, Douwe A. J. Grundel, Hyun Youk · 2020 · Cell Systems
38. Turing and Benjamin–Feir instability mechanisms in non-autonomous systems
    Robert A. Van Gorder · 2020 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
39. A Non-local Cross-Diffusion Model of Population Dynamics I: Emergent Spatial and Spatiotemporal Patterns
    Nick P. Taylor, Hyunyeon Kim, Andrew L. Krause, Robert A. Van Gorder · 2020 · Bulletin of Mathematical Biology
40. Patterns of complexity
    Romualdo Pastor‐Satorras, Alessandro Vespignani · 2010 · Nature Physics
41. Discrete May–Leonard Competition Models III
    Lih-Ing Wu Roeger · 2004 · The Journal of Difference Equations and Applications
42. Cell Migration with Multiple Pseudopodia: Temporal and Spatial Sensing Models
    Rachèle Allena · 2013 · Bulletin of Mathematical Biology
43. Dynamical spike solutions in a nonlocal model of pattern formation
    Anna K. Marciniak-Czochra, Steffen Härting, Grzegorz Karch, Kanako Suzuki · 2018 · Nonlinearity
44. Qualitative behavior of numerical traveling solutions for reaction–diffusion equations with memory
    Adérito Araújo, J.A. Ferreira, Paula de Oliveira · 2005 · Applicable Analysis
45. When does colonisation of a semi-arid hillslope generate vegetation patterns?
    Jonathan A. Sherratt · 2015 · Journal of Mathematical Biology
46. Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects
    Nabil T. Fadai, Matthew J. Simpson · 2020 · Bulletin of Mathematical Biology
47. Estimating the size of COVID-19 epidemic outbreak
    Chakrit Pongkitivanichkul, Daris Samart, Takol Tangphati, Phanit Koomhin, Pimchanok Pimton, Punsiri Dam-O, Apirak Payaka, Phongpichit Channuie · 2020 · Physica Scripta
48. Pattern dynamics of a predator–prey reaction–diffusion model with spatiotemporal delay
    Jian Xu, Gaoxiang Yang, Hongguang Xi, Jianzhong Su · 2015 · Nonlinear Dynamics
49. Exhibiting cross-diffusion-induced patterns for reaction-diffusion systems on evolving domains and surfaces
    Anotida Madzvamuse, Raquel Barreira · 2014 · Physical Review E
50. Mechanisms for initiation of cardiac discordant alternans
    Blas Echebarria, Alain Karma · 2007 · The European Physical Journal Special Topics
51. Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems
    Thomas E. Woolley, Ruth E. Baker, Eamonn A. Gaffney, Philip K. Maini, Sungrim Seirin‐Lee · 2012 · Physical Review E
52. A two-compartment mechanochemical model of the roles of transforming growth factor β and tissue tension in dermal wound healing
    Kelly E. Murphy, Cameron L. Hall, Scott William McCue, D. L. S. McElwain · 2010 · Journal of Theoretical Biology
53. Allee effects, aggregation, and invasion success
    Andrew R. Kanarek, Colleen T. Webb, Michael Barfield, Robert Douglas Holt · 2012 · Theoretical Ecology
54. DYNAMICS OF INHOMOGENEOUS POPULATIONS AND GLOBAL DEMOGRAPHY MODELS
    Georgy P. Karev · 2005 · Journal of Biological Systems
55. Optimal control of drug delivery to brain tumors for a distributed parameters model
    Siddhartha Pratim Chakrabarty, Floyd B. Hanson · 2005 · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference
56. A Full Cellular Automaton to Simulate Predator-Prey Systems
    Gianpiero Cattaneo, Alberto Dennunzio, Fabio Farina · 2006 · Lecture notes in computer science
57. Analysis of stationary droplets in a generic Turing reaction-diffusion system
    Thomas E. Woolley, Ruth E. Baker, Philip K. Maini, J. L. Aragón, Rafael A. Barrio · 2010 · Physical Review E
58. Robust Approximation Algorithms for the Detection of Attraction Basins in Dynamical Systems
    Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione, Ezio Venturino · 2015 · Journal of Scientific Computing
59. Codimension-two bifurcation analysis of a discrete predator–prey model with nonmonotonic functional response
    Qiaoling Chen, Zhidong Teng · 2017 · The Journal of Difference Equations and Applications
60. Pattern Formation and Bistability in a Generalist Predator-Prey Model
    Vagner Weide Rodrigues, Diomar Cristina Mistro, Luiz Alberto Díaz Rodrigues · 2019 · Mathematics
61. Collective self-optimization of communicating active particles
    A. V. Zampetaki, Benno Liebchen, Alexei V Ivlev, Hartmut Löwen · 2021 · Proceedings of the National Academy of Sciences
62. Mathematical and computational modeling in biology at multiple scales
    Jack A. Tuszyński, Philip Winter, Diana White, Chih‐Yuan Tseng, Kamlesh Kumar Sahu, Francesco Gentile, Ivana Spasevska, Sara Ibrahim Omar, Niloofar Nayebi, Cassandra D. M. Churchill et al. · 2014 · Theoretical Biology and Medical Modelling
63. Dynamical Behaviour of a Two Prey and One Predator System
    Swarnali Sharma, G. P. Samanta · 2013 · Differential Equations and Dynamical Systems
64. On the maintenance of bird song dialects
    Robert Planqué, Nicholas Ferris Britton, Hans Slabbekoorn · 2013 · Journal of Mathematical Biology
65. Dynamics in a discrete-time predator-prey system with Allee effect
    Xian-wei Chen, Xiangling Fu, Zhujun Jing · 2013 · Acta Mathematicae Applicatae Sinica English Series
66. Interlinked dual-time feedback loops can enhance robustness to stochasticity and persistence of memory
    Paul D. Smolen, Douglas A. Baxter, John H. Byrne · 2009 · Physical Review E
67. Mathematical modelling and numerical simulations of actin dynamics in the eukaryotic cell
    Uduak Z. George, Angélique Stéphanou, Anotida Madzvamuse · 2012 · Journal of Mathematical Biology
68. Turing instability in reaction-subdiffusion systems
    A. Yadav, Shane M. Milu, Werner Horsthemke · 2008 · Physical Review E
69. Analysis of a two prey one predator system with disease in the first prey population
    Swarnali Sharma, G. P. Samanta · 2014 · International Journal of Dynamics and Control
70. Turing mechanism underlying a branching model for lung morphogenesis
    Xu Hui, Mingzhu Sun, Xin Jie Zhao · 2017 · PLoS ONE
71. Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model
    A. M. Yousef, Sanaa Moussa Salman, A. A. Elsadany · 2018 · International Journal of Bifurcation and Chaos
72. GLOBAL SPREAD OF INFECTIOUS DISEASES
    S. B. Hsu, A. Zee · 2004 · Journal of Biological Systems
73. Distinct mechanisms underlie pattern formation in the skin and skin appendages
    Randall Bruce Widelitz, Ruth E. Baker, Maksim V. Plikus, Chih‐Min Lin, Philip K. Maini, Ralf Paus, Cheng‐Ming Chuong · 2006 · Birth Defects Research Part C Embryo Today Reviews
74. Nonclassical Computation — A Dynamical Systems Perspective
    Susan Stepney · 2012 · Springer eBooks
75. A Mechanical Theory of In Vitro Vascular Network Formation
    J. D. Murray, Daphne Manoussaki, Sharon R. Lubkin, Robert B. Vernon · 1996 · Birkhäuser Boston eBooks
76. A Modified Consumer Inkjet for Spatiotemporal Control of Gene Expression
    Daniel J. Cohen, Roberto C. Morfino, Michel M. Maharbiz · 2009 · PLoS ONE
77. The Turing Model for Biological Pattern Formation
    Philip K. Maini, Thomas E. Woolley · 2019 · Mathematics of planet earth
78. ‘Place-cell’ emergence and learning of invariant data with restricted Boltzmann machines: breaking and dynamical restoration of continuous symmetries in the weight space
    Moshir Harsh, Jérôme Tubiana, Simona Cocco, Rémi Monasson · 2020 · Journal of Physics A Mathematical and Theoretical
79. Understanding contagion dynamics through microscopic processes in active Brownian particles
    Ariel Norambuena, Felipe J. Valencia, Francisca Guzmán‐Lastra · 2020 · Scientific Reports
80. Three-dimensional chiral morphodynamics of chemomechanical active shells
    Sifan Yin, Bo Li, Xi‐Qiao Feng · 2022 · Proceedings of the National Academy of Sciences
81. Effect of vision angle on the phase transition in flocking behavior of animal groups
    Nguyen Phuoc The, Sang‐Hee Lee, Van Thanh Ngo · 2015 · Physical Review E
82. Soliton behaviour in a bistable reaction diffusion model
    Carmen Varea, D. Hernández, Rafael A. Barrio · 2007 · Journal of Mathematical Biology
83. Reaction–diffusion model of hair-bundle morphogenesis
    Adrián Jacobo, Albert James Hudspeth · 2014 · Proceedings of the National Academy of Sciences
84. A review on spatial aggregation methods involving several time scales
    Pierre M. Auger, Jean‐Christophe Poggiale, E. Sánchez · 2011 · Ecological Complexity
85. Asymptotic Methods for Reaction-Diffusion Systems: Past and Present
    Michael J. Ward · 2006 · Bulletin of Mathematical Biology
86. Weakly nonlinear analysis of symmetry breaking in cell polarity models
    BORIS Y. RUBINSTEIN, Brian D. Slaughter, Rong Li · 2012 · Physical Biology
87. Fine-scale spatial ecology drives kin selection relatedness among cooperating amoebae
    Jeff S. Smith, Joan E. Strassmann, David C. Queller · 2016 · Evolution
88. Velocity fluctuations of population fronts propagating into metastable states
    Baruch Meerson, Pavel Vasilievich Sasorov, Yitzhak Kaplan · 2011 · Physical Review E
89. Quasi-Neutral Theory of Epidemic Outbreaks
    Oscar Alejandro Pinto, Miguel A. Muñoz · 2011 · PLoS ONE
90. Neuronal (Bi)Polarity as a Self-Organized Process Enhanced by Growing Membrane
    Silvia A. Menchón, Annette Gärtner, Pablo Román, Carlos G. Dotti · 2011 · PLoS ONE
91. Mathematical study of multispecies dynamics modeling predator–prey spatial interactions
    Kolade Matthew Owolabi · 2016 · Journal of Numerical Mathematics
92. Prediction of peak and termination of novel coronavirus COVID-19 epidemic in Iran
    Amir-Pouyan Zahiri, Sepehr Rafieenasab, Ehsan Roohi · 2020 · International Journal of Modern Physics C
93. Time Fractional Fisher–KPP and Fitzhugh–Nagumo Equations
    Christopher N. Angstmann, Bruce Ian Henry · 2020 · Entropy
94. The Camouflage Machine: Optimizing protective coloration using deep learning with genetic algorithms
    John Fennell, László Tálas, Roland Baddeley, Innes C. Cuthill, Nicholas E. Scott‐Samuel · 2021 · Evolution
95. Dynamics of pattern formation process in fractional-order super-diffusive processes: a computational approach
    Kolade Matthew Owolabi, Berat Karaağaç, Dumitru Bǎleanu · 2021 · Soft Computing
96. Quantum Turing bifurcation: Transition from quantum amplitude death to quantum oscillation death
    Biswabibek Bandyopadhyay, Taniya Khatun, Tanmoy Banerjee · 2021 · Physical review. E
97. Mathematical study for Zika virus transmission with general incidence rate
    Ahmed Alshehri, Miled El Hajji · 2022 · AIMS Mathematics
98. The Unreasonable Effectiveness of Reaction Diffusion in Vertebrate Skin Color Patterning
    Michel C. Milinkovitch, Ebrahim Jahanbakhsh, Szabolcs Zakany · 2023 · Annual Review of Cell and Developmental Biology
99. The pseudo-compartment method for coupling partial differential equation and compartment-based models of diffusion
    Christian A. Yates, Mark B. Flegg · 2015 · Journal of The Royal Society Interface
100. TURING INSTABILITY AND PATTERN FORMATION IN A SEMI-DISCRETE BRUSSELATOR MODEL
     Li Xu, Lixian Zhao, Z. X. CHANG, Jianwen Feng, Guang Zhang · 2012 · Modern Physics Letters B