Mathematical Biology: II: Spatial Models and Biomedical Applications

Cited by (1,000)

Items 301–400 of 1,000

1. Kosambi–Cartan–Chern (KCC) theory for higher-order dynamical systems
   Tiberiu Harko, Praiboon Pantaragphong, Sorin V. Sabău · 2015 · International Journal of Geometric Methods in Modern Physics
2. A structured-population model of Proteus mirabilis swarm-colony development
   Bruce P. Ayati · 2005 · Journal of Mathematical Biology
3. MODELING AND SIMULATION OF BIOMATERIALS
   Antonio Redondo, Richard A. LeSar · 2004 · Annual Review of Materials Research
4. Inverse Problems and Structured-Population Dynamics
   Simon N. Wood · 1997 · Springer eBooks
5. Mathematical Models of Disease Transmission: A Precious Tool for the Study of Sexually Transmitted Diseases
   Marie‐Claude Boily, Benoît R. Mâsse · 1997 · Canadian Journal of Public Health
6. Spatially extended hybrid methods: a review
   Cameron A. Smith, Christian A. Yates · 2018 · Journal of The Royal Society Interface
7. A Mathematical Model for the COVID-19 Outbreak and Its Applications
   Roman M Cherniha, Vasyl’ Davydovych · 2020 · Symmetry
8. Spatiotemporal behavior in a predator–prey model with herd behavior and cross-diffusion and fear effect
   Fethi Souna, Salih Djilali, Abdelkader Lakmeche · 2021 · The European Physical Journal Plus
9. Reaction, diffusion and non-local interaction
   Hirokazu Ninomiya, Yoshitaro Tanaka, Hiroko Yamamoto · 2017 · Journal of Mathematical Biology
10. Diffusive instabilities in hyperbolic reaction-diffusion equations
    Evgeny P. Zemskov, Werner Horsthemke · 2016 · Physical review. E
11. Self-organization and positioning of bacterial protein clusters
    Séan Murray, Victor Sourjik · 2017 · Nature Physics
12. Family name distributions: Master equation approach
    Seung Ki Baek, Hoang Anh Tuan Kiet, Beom Jun Kim · 2007 · Physical Review E
13. Designing modular reaction-diffusion programs for complex pattern formation
    Dominic Scalise, Rebecca Schulman · 2014 · TECHNOLOGY
14. Global stability analysis of birhythmicity in a self-sustained oscillator
    R. Yamapi, Giovanni Filatrella, M. A. Aziz-Alaoui · 2010 · Chaos An Interdisciplinary Journal of Nonlinear Science
15. Modelling and formation of spatiotemporal patterns of fractional predation system in subdiffusion and superdiffusion scenarios
    Kolade Matthew Owolabi, Abdon Atangana · 2018 · The European Physical Journal Plus
16. EPIDEMICS OF SIRS MODEL WITH NONUNIFORM TRANSMISSION ON SCALE-FREE NETWORKS
    Chengyi Xia, Shiwen Sun, Zhongxin Liu, Z. Q. Chen, Z.Z. Yuan · 2009 · International Journal of Modern Physics B
17. A mathematical model for mechanotransduction at the early steps of suture formation
    Roman Hossein Khonsari, Julien Olivier, Paul Vigneaux, Sophie Sanchez, Paul Tafforeau, Per Ahlberg, Federico Di Rocco, Didier Bresch, Pierre Corre, Atsushi Ohazama et al. · 2013 · Proceedings of the Royal Society B Biological Sciences
18. A Survey on Biologically Inspired Algorithms for Computer Networking
    Chenyu Zheng, Douglas Sicker · 2013 · IEEE Communications Surveys & Tutorials
19. On a model of a population with variable motility
    Olga Turanova · 2015 · Mathematical Models and Methods in Applied Sciences
20. Robust IMEX Schemes for Solving Two-Dimensional Reaction–Diffusion Models
    Kolade Matthew Owolabi · 2015 · International Journal of Nonlinear Sciences and Numerical Simulation
21. Spatiotemporal Self-Organization of Fluctuating Bacterial Colonies
    Tobias Grafke, Michael E. Cates, Eric Vanden‐Eijnden · 2017 · Physical Review Letters
22. Emergent patterns in diffusive Turing-like systems with fractional-order operator
    Kolade Matthew Owolabi, Dumitru Bǎleanu · 2021 · Neural Computing and Applications
23. Spread of infectious diseases in a hyperbolic reaction-diffusion susceptible-infected-removed model
    Elvira Barbera, Giancarlo Consolo, Giovanna Valenti · 2013 · Physical Review E
24. Mathematical and computational models of the retina in health, development and disease
    Paul Roberts, Eamonn A. Gaffney, Philip J. Luthert, Alexander J. E. Foss, Helen Mary Byrne · 2016 · Progress in Retinal and Eye Research
25. How the leopard got its spots: a phylogenetic view of the evolution of felid coat patterns
    Lars Werdelin, Lennart Olsson · 1997 · Biological Journal of the Linnean Society
26. On Uniform Decay of the Entropy for Reaction–Diffusion Systems
    Alexander Mielke, Jan Haškovec, Peter A. Markowich · 2014 · Journal of Dynamics and Differential Equations
27. Transcriptional Bursting Diversifies the Behaviour of a Toggle Switch: Hybrid Simulation of Stochastic Gene Expression
    Pavol Bokes, John R. King, Andrew T. A. Wood, Matthew Loose · 2013 · Bulletin of Mathematical Biology
28. Turing instabilities in reaction-diffusion systems with cross diffusion
    Duccio Fanelli, Claudia Cianci, Francesca Di Patti · 2013 · The European Physical Journal B
29. Stability and bionomic analysis of fuzzy parameter based prey–predator harvesting model using UFM
    D. Pal, Ghanshaym Singha Mahapatra, G. P. Samanta · 2014 · Nonlinear Dynamics
30. MODELLING OF EARLY LUNG CANCER PROGRESSION: INFLUENCE OF GROWTH FACTOR PRODUCTION AND COOPERATION BETWEEN PARTIALLY TRANSFORMED CELLS
    Anna K. Marciniak-Czochra, Marek Kimmel · 2007 · Mathematical Models and Methods in Applied Sciences
31. Reliability of Transcriptional Cycles and the Yeast Cell-Cycle Oscillator
    Volkan Sevi̇m, Xinwei Gong, Joshua E. S. Socolar · 2010 · PLoS Computational Biology
32. The effect of temporal variability on persistence conditions in rivers
    Frithjof Lutscher, Gunog Seo · 2011 · Journal of Theoretical Biology
33. SPATIAL PATTERN IN A PREDATOR-PREY SYSTEM WITH BOTH SELF- AND CROSS-DIFFUSION
    Gui‐Quan Sun, Zhen Jin, YI-GUO ZHAO, Quan‐Xing Liu, Li Li · 2009 · International Journal of Modern Physics C
34. Diffusive and Chemotactic Cellular Migration: Smooth and Discontinuous Traveling Wave Solutions
    Kerry Anne Landman, Matthew J. Simpson, J. L. Slater, Donald F. Newgreen · 2005 · SIAM Journal on Applied Mathematics
35. Dynamical Behaviour of an HIV/AIDS Epidemic Model
    Swarnali Sharma, G. P. Samanta · 2013 · Differential Equations and Dynamical Systems
36. Dynamical effects of integrative time-delay coupling
    Garima Saxena, Awadhesh Prasad, Ramakrishna Ramaswamy · 2010 · Physical Review E
37. Turing patterns and apparent competition in predator-prey food webs on networks
    Lucas D. Fernandes, Marcus A. M. de Aguiar · 2012 · Physical Review E
38. Mathematical modeling links Wnt signaling to emergent patterns of metabolism in colon cancer
    Mary M. Lee, George T Chen, Eric J. Puttock, Kehui Wang, Robert A. Edwards, Marian L. Waterman, John S. Lowengrub · 2017 · Molecular Systems Biology
39. Continuous attractors with morphed/correlated maps
    Romani, Sandro, Tsodyks, Misha · 2010 · PLoS Computational Biology
40. Stability of Epidemic Models with Evolution
    Giuseppe Mulone, Brian Straughan, Wendi Wang · 2007 · Studies in Applied Mathematics
41. Exact solutions of nonlinear diffusion reaction equation with quadratic, cubic and quartic nonlinearities
    Hitender Kumar, Anand Malik, Fakir Chand, Shubham Mishra · 2012 · Indian Journal of Physics
42. A Biomechanical Model of Tumor-Induced Intracranial Pressure and Edema in Brain Tissue
    Inmaculada C. Sorribes, Matthew N. J. Moore, Helen Mary Byrne, Harsh Vardhan Jain · 2019 · Biophysical Journal
43. Parametrizing diffusion‐taxis equations from animal movement trajectories using step selection analysis
    Jonathan R. Potts, Ulrike E. Schlägel · 2020 · Methods in Ecology and Evolution
44. Spatial propagation in an epidemic model with nonlocal diffusion: The influences of initial data and dispersals
    Wen-Bing Xu, Wan-Tong Li, Shigui Ruan · 2020 · Science China Mathematics
45. Pattern formation in superdiffusion predator–prey‐like problems with integer‐ and noninteger‐order derivatives
    Kolade Matthew Owolabi, Berat Karaağaç, Dumitru Bǎleanu · 2020 · Mathematical Methods in the Applied Sciences
46. Transition fronts for the Fisher-KPP equation
    François Hamel A, Luca Rossi · 2016 · Transactions of the American Mathematical Society
47. A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line
    Ezio Di Costanzo, Roberto Natalini D, Luigi Preziosi · 2014 · Journal of Mathematical Biology
48. Zigzag and Breakup Instabilities of Stripes and Rings in the Two‐Dimensional Gray–Scott Model
    Théodore Kolokolnikov, Michael J. Ward, Juncheng Wei · 2005 · Studies in Applied Mathematics
49. Cell cycle arrest and aberration yield in normal human fibroblasts. I. Effects of X‐rays and 195 MeV u−1C ions
    E. Nasonova, K. Füssel, S. Berger, Ewa Gudowska–Nowak, S. Ritter · 2004 · International Journal of Radiation Biology
50. IMPACT OF THE SAME DEGENERATE ADDITIVE NOISE ON A COUPLED SYSTEM OF FRACTIONAL SPACE DIFFUSION EQUATIONS
    Wael W. Mohammed, Naveed Iqbal · 2021 · Fractals
51. Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line
    Dmitri L. Finkelshtein, Pasha Tkachov · 2017 · Applicable Analysis
52. Wave propagation for a class of non-local dispersal non-cooperative systems
    Fei-Ying Yang, Wan‐Tong Li, Jia‐Bing Wang · 2019 · Proceedings of the Royal Society of Edinburgh Section A Mathematics
53. Kinetic Modelling of Epidemic Dynamics: Social Contacts, Control with Uncertain Data, and Multiscale Spatial Dynamics
    Giacomo Albi, Giulia Bertaglia, Walter Boscheri, Giacomo Dimarco, Lorenzo Pareschi, Giuseppe Toscani, Mattia Zanella · 2022 · Modeling and simulation in science, engineering & technology
54. Emulating cellular automata in chemical reaction–diffusion networks
    Dominic Scalise, Rebecca Schulman · 2015 · Natural Computing
55. Convergence to a pulsating travelling wave for an epidemic reaction-diffusion system with non-diffusive susceptible population
    Arnaud Ducrot, Thomas Giletti · 2013 · Journal of Mathematical Biology
56. Periodic pattern formation in reaction-diffusion systems: An introduction for numerical simulation
    Takashi Miura, Philip K. Maini · 2004 · Anatomical Science International
57. What is the biological basis of pattern formation of skin lesions?
    Ralf Paus, Cheng‐Ming Chuong, Danielle Dhouailly, Stephen J. Gilmore, Loïc Forest, W B Shelley, Kurt S. Stenn, Philip K. Maini, Frédéric Michon, Satish Parimoo et al. · 2006 · Experimental Dermatology
58. Asymptotic behaviour of a reaction–diffusion model with a quiescent stage
    Kate Fang Zhang, Xiao‐Qiang Zhao · 2007 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
59. Slow expanders invade by forming dented fronts in microbial colonies
    Hyunseok Lee, Jeff Gore, Kirill S. Korolev · 2021 · Proceedings of the National Academy of Sciences
60. Impact of Prey Refuge on a Discrete Time Predator–Prey System with Allee Effect
    Sourav Rana, Amiya Ranjan Bhowmick, Sabyasachi Bhattacharya · 2014 · International Journal of Bifurcation and Chaos
61. Capital-induced labor migration in a spatial Solow model
    João Plínio Juchem Neto, Julio Cesar Ruiz Claeyssen · 2014 · Journal of Economics
62. Numerical solutions of FitzHugh–Nagumo equation by exact finite-difference and NSFD schemes
    Mehran Namjoo, Sadegh Zibaei · 2016 · Computational and Applied Mathematics
63. Turing Patterns in the Lengyel–Epstein System with Superdiffusion
    Biao Liu, Ranchao Wu, Naveed Iqbal, Liping Chen · 2017 · International Journal of Bifurcation and Chaos
64. Spatiotemporal Patterns in a Predator–Prey Model with Cross-Diffusion Effect
    Muniyagounder Sambath, KRISHNAN BALACHANDRAN, Lakshmi Narayan Guin · 2018 · International Journal of Bifurcation and Chaos
65. Numerical approach to chaotic pattern formation in diffusive predator–prey system with Caputo fractional operator
    Kolade Matthew Owolabi · 2020 · Numerical Methods for Partial Differential Equations
66. A Numerical Approach of a Time Fractional Reaction–Diffusion Model with a Non-Singular Kernel
    Tayyaba Akram, Muhammad Abbas, Ajmal Ali, Azhar Iqbal, Dumitru Bǎleanu · 2020 · Symmetry
67. A theory of pattern formation for reaction–diffusion systems on temporal networks
    Robert A. Van Gorder · 2021 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
68. Simple Models for the Transmission of Microparasites Between Host Populations Living on Noncoincident Spatial Domains
    W. E. Fitzgibbon, Michel R. Langlais · 2008 · Lecture notes in mathematics
69. Lattice Boltzmann study of pattern formation in reaction-diffusion systems
    S. G. Ayodele, Fathollah Varnik, Dierk Raabe · 2011 · Physical Review E
70. Susceptible-infected-recovered and susceptible-exposed-infected models
    Tânia Tomé, Mário J. de Oliveira · 2011 · Journal of Physics A Mathematical and Theoretical
71. REGULATION OF A PREY-PREDATOR FISHERY BY TAXATION: A DYNAMIC REACTION MODEL
    Tapan Kumar Kar, Kripasindhu S. Chaudhuri · 2003 · Journal of Biological Systems
72. Beyond Turing: mechanochemical pattern formation in biological tissues
    Moritz Mercker, Felix Brinkmann, Anna K. Marciniak-Czochra, Thomas Richter · 2016 · Biology Direct
73. Chemotactic Cellular Migration: Smooth and Discontinuous Travelling Wave Solutions
    Donald F. Newgreen, Graeme John Pettet, Kerry Anne Landman · 2003 · SIAM Journal on Applied Mathematics
74. A New Approach Using Integral Transform to Solve Cancer Models
    Rania Saadeh, Ahmad M. Qazza, Kawther Faisal Amawi · 2022 · Fractal and Fractional
75. VisualPDE: Rapid Interactive Simulations of Partial Differential Equations
    Benjamin J. Walker, Adam K. Townsend, Alexander K. Chudasama, Andrew L. Krause · 2023 · Bulletin of Mathematical Biology
76. Folds, canards and shocks in advection–reaction–diffusion models
    Martin Wechselberger, Graeme John Pettet · 2010 · Nonlinearity
77. Observation and modelling of vegetation spirals and arcs in isotropic environmental conditions: dissipative structures in arid landscapes
    Mustapha Tlidi, Marcel G. Clerc, Daniel Escaff, Pierre Couteron, Mohammed Messaoudi, Mhamed Khaffou, A. Makhoute · 2018 · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
78. A Spatio-Temporal Autowave Model of Shanghai Territory Development
    Natalia Timurovna Levashova, Alla Sidorova, Anna Semina, Mingkang Ni · 2019 · Sustainability
79. Two-grid methods for mixed finite-element solution of coupled reaction-diffusion systems
    Li Wu, Myron B. Allen · 1999 · Numerical Methods for Partial Differential Equations
80. Application of direct meshless local Petrov–Galerkin (DMLPG) method for some Turing-type models
    Mohammad Ilati, Mehdi Dehghan · 2016 · Engineering With Computers
81. Dynamics of a discrete-time predator-prey system
    Ming Zhao, Zuxing Xuan, Cuiping Li · 2016 · Advances in Difference Equations
82. Fundamental constraints to the logic of living systems
    Solé, Ricard, Kempes, Christopher P., Corominas-Murtra, Bernat, De Domenico, Manlio, Kolchinsky, Artemy, Lachmann, Michael, Libby, Eric, Saavedra, Serguei, Smith, Eric, Wolpert, David · 2024 · Interface Focus
83. Cellular Sensing Governs the Stability of Chemotactic Fronts
    Ricard Alert, Alejandro Martínez-Calvo, Sujit Sankar Datta · 2022 · Physical Review Letters
84. Experimental observation of front propagation in a negatively diffractive inhomogeneous Kerr cavity
    V. Odent, Mustapha Tlidi, Marcel G. Clerc, P. Glorieux, Eric Louvergneaux · 2014 · Physical Review A
85. A Reaction-Diffusion Model for Epidemic Routing in Sparsely Connected MANETs
    Daniel J. Klein, João P. Hespanha, Upamanyu Madhow · 2010 · IEEE Conference on Computer Communications (INFOCOM)
86. Adaptive Control of Synchronization in Delay-Coupled Heterogeneous Networks of FitzHugh–Nagumo Nodes
    Sergei A. Plotnikov, J. Lehnert, Аlexander L. Fradkov, E. Schöll · 2016 · International Journal of Bifurcation and Chaos
87. Body coloration and mechanisms of colour production in Archelosauria: the case of deirocheline turtles
    Jindřich Brejcha, José Vicente Bataller, Zuzana Bosáková, Jan Géryk, Martina Havlíková, Karel Kleisner, Petr Maršík, Enrique Font · 2019 · Royal Society Open Science
88. Dynamical analysis of a delayed food chain model with additive Allee effect
    S. Vinoth, R. Sivasamy, K. Sathiyanathan, Grienggrai Rajchakit, Porpattama Hammachukiattikul, Rajarathinam Vadivel, Nallappan Gunasekaran · 2021 · Advances in Difference Equations
89. Spatial controls for growth zone formation during the fission yeast cell cycle
    Attila Csikász‐Nagy, Béla Györffy, Wolfgang Alt, John J. Tyson, Béla Novák · 2007 · Yeast
90. Global Regularity of Solutions to Systems of Reaction–Diffusion with Sub-Quadratic Growth in Any Dimension
    Michèle Caputo, Alexis Vasseur · 2009 · Communications in Partial Differential Equations
91. Solitary waves in excitable systems with cross-diffusion
    Vadim Nadyrovich Biktashev, Mikhail A. Tsyganov · 2005 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
92. Turing patterns of Gierer–Meinhardt model on complex networks
    Luyao Guo, Xinli Shi, Jinde Cao · 2021 · Nonlinear Dynamics
93. A three-node Turing gene circuit forms periodic spatial patterns in bacteria
    Jure Tica, Martina Oliver Huidobro, Tong Zhu, Georg K. A. Wachter, Roozbeh H. Pazuki, Dario G. Bazzoli, Natalie S. Scholes, Elisa Tonello, Heike Siebert, Michael P. H. Stumpf et al. · 2024 · Cell Systems
94. New travelling wave solutions of the Porous–Fisher model with a moving boundary
    Nabil T. Fadai, Matthew J. Simpson · 2020 · Journal of Physics A Mathematical and Theoretical
95. Dynamical analysis of a fuzzy phytoplankton–zooplankton model with refuge, fishery protection and harvesting
    Xin-You Meng, Yuqian Wu · 2020 · Journal of Applied Mathematics and Computing
96. A Concise Review of Gradient Models in Mechanics and Physics
    Elias C. Aifantis · 2020 · Frontiers in Physics
97. Oscillatory periodic pattern dynamics in hyperbolic reaction-advection-diffusion models
    Giancarlo Consolo, Carmela Curró, Gabriele Grifó, Giovanna Valenti · 2022 · Physical review. E
98. Reaction-diffusion based transmission patterns for ad hoc networks
    Mathilde Durvy, Patrick Thiran · 2005 · IEEE Conference on Computer Communications (INFOCOM)
99. Power spectra methods for a stochastic description of diffusion on deterministically growing domains
    Thomas E. Woolley, Ruth E. Baker, Eamonn A. Gaffney, Philip K. Maini · 2011 · Physical Review E
100. Simple Finite Element Methods for Approximating Predator–Prey Dynamics in Two Dimensions Using Matlab
     Marcus R. Garvie, John V. Burkardt, Jeff Morgan · 2015 · Bulletin of Mathematical Biology