Mathematical Biology: II: Spatial Models and Biomedical Applications

Cited by (1,000)

Items 701–800 of 1,000

1. Nonstandard finite‐difference scheme to approximate the generalized Burgers‐Fisher equation
   Mehran Namjoo, M. Zeinadini, Sadegh Zibaei · 2018 · Mathematical Methods in the Applied Sciences
2. Envelope Quasisolitons in Dissipative Systems with Cross-Diffusion
   Vadim Nadyrovich Biktashev, Mikhail A. Tsyganov · 2011 · Physical Review Letters
3. Transient Responses to Spatial Perturbations in Advective Systems
   Kurt E. Anderson, Roger M. Nisbet, Edward McCauley · 2008 · Bulletin of Mathematical Biology
4. What Has Mathematics Done for Biology?
   Michael C. Mackey, Philip K. Maini · 2015 · Bulletin of Mathematical Biology
5. Robustness of a relaxation oscillator
   Tryphon T. Georgiou, MALCOLM C. SMITH · 2000 · International Journal of Robust and Nonlinear Control
6. Invasion waves for a nonlocal dispersal predator-prey model with two predators and one prey
   Fei-Ying Yang, Wan‐Tong Li, Renhu Wang · 2021 · Communications on Pure &amp Applied Analysis
7. A Fisher–KPP Model with a Nonlocal Weighted Free Boundary: Analysis of How Habitat Boundaries Expand, Balance or Shrink
   Chunxi Feng, Mark A. Lewis, Chuncheng Wang, Hao Wang A · 2022 · Bulletin of Mathematical Biology
8. On the Omori Law in the Physics of Earthquakes
   A. D. Zavyalov, О. Д. Зотов, Anatol V. Guglielmi, Boris I. Klain · 2022 · Applied Sciences
9. Analytical Solutions to the Chavy-Waddy–Kolokolnikov Model of Bacterial Aggregates in Phototaxis by Three Integration Schemes
   Alejandro León-Ramírez, Oswaldo Gonzalez-Gaxiola, Guillermo Chacón‐Acosta · 2023 · Mathematics
10. A time independent least squares algorithm for parameter identification of Turing patterns in reaction–diffusion systems
    Lili Chang, Xinyu Wang, Gui‐Quan Sun, Zhen Wang, Zhen Jin · 2023 · Journal of Mathematical Biology
11. The spreading frontiers of avian-human influenza described by the free boundary
    Chengxia Lei, KwangIk Kim, Zhigui Lin · 2013 · Science China Mathematics
12. Population models with diffusion, strong Allee effect, and nonlinear boundary conditions
    Jérome Goddard, Eun Kyoung Lee, R. Shivaji · 2011 · Nonlinear Analysis
13. Patterning as a signature of human epidermal stem cell regulation
    Allon Moshe Klein, Varvara Nikolaidou-Neokosmidou, David P. Doupé, Philip H. Jones, Benjamin D. Simons · 2011 · Journal of The Royal Society Interface
14. Stability and bifurcation in epidemic models describing the transmission of toxoplasmosis in human and cat populations
    Jocirei D. Ferreira, Luz Myriam Echeverry, Carlos Peña · 2017 · Mathematical Methods in the Applied Sciences
15. A space-fractional-reaction-diffusion model for pattern formation in coral reefs
    Lekam Watte Somathilake, Kevin Burrage · 2018 · Cogent Mathematics & Statistics
16. Spatiotemporal dynamics of an NPZ model with prey-taxis and intratrophic predation
    Evgeniya Evgenievna Giricheva · 2018 · Nonlinear Dynamics
17. A free Boundary Problem for a Reaction-Diffusion Equation Appearing in Biology
    Jozil Ostanovich Takhirov · 2019 · Indian Journal of Pure and Applied Mathematics
18. Extensions and solutions for nonlinear diffusion equations and random walks
    Ervin Kaminski Lenzi, Marcelo Kaminski Lenzi, Haroldo Valentin Ribeiro, L. R. Evangelista · 2019 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
19. A Non-local Cross-Diffusion Model of Population Dynamics II: Exact, Approximate, and Numerical Traveling Waves in Single- and Multi-species Populations
    Andrew L. Krause, Robert A. Van Gorder · 2020 · Bulletin of Mathematical Biology
20. Complex dynamics of a prey-predator interaction model with Holling type-II functional response incorporating the effect of fear on prey and non-linear predator harvesting
    Prahlad Majumdar, Surajit Debnath, Bapin Mondal, Susmita Sarkar, Uttam Ghosh · 2022 · Rendiconti del Circolo Matematico di Palermo Series 2
21. Asymptotic Profile of Species Migrating on a Growing Habitat
    Qiulin Tang, Lai Zhang, Zhigui Lin · 2011 · Acta Applicandae Mathematicae
22. EFFECTS OF MOTION ON EPIDEMIC SPREADING
    Arturo Buscarino, Agnese Di Stefano, Luigi Fortuna, Mattia Frasca, Vito Latora · 2010 · International Journal of Bifurcation and Chaos
23. A SINGLE SPECIES POPULATION IN A POLLUTED ENVIRONMENT
    Amit K. Pal, G. P. Samanta · 2010 · International Journal of Biomathematics
24. Effects of population mixing on the spread of SIR epidemics
    Henryk Fukś, Anna T. Ławniczak, R. Duchesne · 2006 · The European Physical Journal B
25. A Macroscopic Mathematical Model for Cell Migration Assays Using a Real-Time Cell Analysis
    Ezio Di Costanzo, Vincenzo Ingangi, Claudia Angelini, Maria Francesca Carfora, Maria Vincenza Carriero, Roberto Natalini D · 2016 · PLoS ONE
26. An application of the Maslov complex germ method to the one-dimensional nonlocal Fisher–KPP equation
    A. V. Shapovalov, A. Yu. Trifonov · 2018 · International Journal of Geometric Methods in Modern Physics
27. Pulse dynamics in reaction–diffusion equations with strong spatially localized impurities
    Arjen Doelman, Peter van Heijster, Jianhe Shen · 2018 · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
28. Persistent spatial patterns of interacting contagions
    Li Chen · 2019 · Physical review. E
29. Cosymmetry approach and mathematical modeling of species coexistence in a heterogeneous habitat
    Alexander V. Budyansky, Kurt Frischmuth, Vyacheslav Geog Tsybulin · 2018 · Discrete and Continuous Dynamical Systems - B
30. Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media
    Izumi Takagi, Conghui Zhang · 2020 · Discrete and Continuous Dynamical Systems
31. Models for Pigment Pattern Formation in the Skin of Fishes
    Kevin J. Painter · 2001 · The IMA volumes in mathematics and its applications
32. A General Formalism for Tissue Morphogenesis Based on Cellular Dynamics and Control System Interactions
    Loïc Forest, Jacques Demongeot A · 2008 · Acta Biotheoretica
33. Optimal Strategies for Vaccination using the Stochastic SIRV Model
    Masaaki Ishikawa · 2012 · Transactions of the Institute of Systems Control and Information Engineers
34. Emergent complexity in simple neural systems
    Alistair Nicol Boettiger, GEORGE F. OSTER · 2009 · Communicative & Integrative Biology
35. Nonlinear effects in life sciences
    Tomasz Kapitaniak, Sajad Jafari · 2018 · The European Physical Journal Special Topics
36. Local Dynamics of the Two-Component Singular Perturbed Systems of Parabolic Type
    Iliya Kaschenko, Sergey Aleksandrovich Kaschenko · 2015 · International Journal of Bifurcation and Chaos
37. Boundary Conditions Cause Different Generic Bifurcation Structures in Turing Systems
    Thomas E. Woolley · 2022 · Bulletin of Mathematical Biology
38. A study on brain tumor dynamics in two-dimensional irregular domain with variable-order time-fractional derivative
    Harshad Sakariya, Ravi Shankar Prasad, Sushil Kumar · 2025 · Computer Methods and Programs in Biomedicine
39. Ant aggression and evolutionary stability in plant-ant and plant-pollinator mutualistic interactions
    Leonardo Oña, Michael Lachmann · 2010 · Journal of Evolutionary Biology
40. On the Calculation of System Entropy in Nonlinear Stochastic Biological Networks
    Bor‐Sen Chen, Shang-Wen Wong, Chengwei Li · 2015 · Entropy
41. Predictive modelling of complex agronomic and biological systems
    Joost J. B. Keurentjes, Jaap Molenaar, Bas J. Zwaan · 2013 · Plant Cell & Environment
42. A Unifying Mathematical Framework for Genetic Robustness, Environmental Robustness, Network Robustness and their Trade-off on Phenotype Robustness in Biological Networks Part I: Gene Regulatory Networks in Systems and Evolutionary Biology
    Bor‐Sen Chen, Ying‐Po Lin · 2013 · Evolutionary Bioinformatics
43. Modelling the radiotherapy effect in the reaction-diffusion equation
    Giovanni Borasi, Alan E. Nahum · 2016 · Physica Medica
44. Accurate and efficient discretizations for stochastic models providing near agent-based spatial resolution at low computational cost
    Nabil T. Fadai, Ruth E. Baker, Matthew J. Simpson · 2019 · Journal of The Royal Society Interface
45. Dynamics of a diffusive predator–prey system with ratio-dependent functional response and time delay
    Xin Jiang, Ran Zhang, Zhikun She · 2020 · International Journal of Biomathematics
46. Resource Allocation in Two-Patch Epidemic Model with State-Dependent Dispersal Behaviors Using Optimal Control
    Sunmi ‍Lee, Okbun Baek, Luis A. Melara · 2020 · Processes
47. A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation
    Masoumeh Hosseininia, Mohammad Heydari, F. M. Maalek Ghaini, Zakieh Avazzadeh · 2021 · Engineering Analysis with Boundary Elements
48. Mechanistic underpinning of cell aspect ratio-dependent emergent collective motions in swarming bacteria
    Palash Bera, Abdul Wasim, Jagannath Mondal, Pushpita Ghosh · 2021 · Soft Matter
49. Vegetation Patterns in the Hyperbolic Klausmeier Model with Secondary Seed Dispersal
    Gabriele Grifó · 2023 · Mathematics
50. Phase synchronization on scale-free and random networks in the presence of noise
    Hamid Khoshbakht, Farhad Shahbazi, Keivan Aghababaei Samani · 2008 · Journal of Statistical Mechanics Theory and Experiment
51. Generalized Allee effect model
    Lindomar Soares dos Santos, Brenno Caetano Troca Cabella, Alexandre Souto Martinêz · 2014 · Theory in Biosciences
52. Pure Multiplicative Noises Induced Population Extinction in an Anti-tumor Model under Immune Surveillance
    Canjun Wang, Li Di, Mei Dong-Cheng · 2009 · Communications in Theoretical Physics
53. Emergence of fluctuating traveling front solutions in macroscopic theory of noisy invasion fronts
    Baruch Meerson, Arkady Vilenkin, Pavel Vasilievich Sasorov · 2013 · Physical Review E
54. The effect of habitat fragmentation on cyclic population dynamics: a reduction to ordinary differential equations
    S. Strohm, Rebecca C. Tyson · 2011 · Theoretical Ecology
55. Transient and asymptotic dynamics of a prey–predator system with diffusion
    Evangelos Latos, Takashi Suzuki, Yoshio Yamada · 2012 · Mathematical Methods in the Applied Sciences
56. Spatial Demogenetic Model for Studying Phenomena Observed upon Introduction of the Ragweed Leaf Beetle in the South of Russia
    Yu. V. Tyutyunov, О. В. Ковалев, Lyudmila I. Titova · 2013 · Mathematical Modelling of Natural Phenomena
57. A delay equation model for oviposition habitat selection by mosquitoes
    Stephen A. Gourley, Shigui Ruan · 2011 · Journal of Mathematical Biology
58. Speed-up of combustion fronts in shear flows
    François Hamel A, Andrej Zlatoš · 2012 · Mathematische Annalen
59. Spatiotemporal Dynamics and Hopf Bifurcation in a Delayed Diffusive Intraguild Predation Model with Holling II Functional Response
    Renji Han, Binxiang Dai · 2016 · International Journal of Bifurcation and Chaos
60. Mathematical modeling and optimal control problems in brain tumor targeted drug delivery strategies
    Aziz Belmiloudi · 2016 · International Journal of Biomathematics
61. Hamiltonian elliptic systems in dimension two with potentials which can vanish at infinity
    Sérgio H. Monari Soares, Yony Raúl Santaria Leuyacc · 2017 · Communications in Contemporary Mathematics
62. Mathematical Techniques for Understanding Platelet Regulation and the Development of New Pharmacological Approaches
    Joanne L. Dunster, Mikhail Aleksandrovich Panteleev, Jonathan M. Gibbins, Anastasia N. Sveshnikova · 2018 · Methods in molecular biology
63. A thin-film extensional flow model for biofilm expansion by sliding motility
    Alexander Tam, J. E. F. Green, Sanjeeva Balasuriya, Ee Lin Tek, Jennifer Margaret Gardner, Joanna F. Sundstrom, Vladimir Jiranek, Benjamin James Binder · 2019 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
64. Nonlocal Effects to Neutron Diffusion Equation in a Nuclear Reactor
    Rami Ahmad El‐Nabulsi · 2020 · Journal of Computational and Theoretical Transport
65. Parallel Computing Platform for the Agent-Based Modeling of Multicellular Biological Systems
    Da-Jun Toh, Francis Tang, Travis Lee, Deepak Sarda, Arun V. Krishnan, Andrew Boris Goryachev · 2004 · Lecture notes in computer science
66. Pattern formation by boundary forcing in convectively unstable, oscillatory media with and without differential transport
    Patrick N. McGraw, Michael Menzinger · 2005 · Physical Review E
67. On a stochastic reaction–diffusion system modeling pattern formation on seashells
    Jan Kelkel, Christina Surulescu · 2009 · Journal of Mathematical Biology
68. A Model for Short- and Long-range Interactions of Migrating Tumour Cell
    M Aubert, Mathilde Badoual, Basil Grammaticos · 2008 · Acta Biotheoretica
69. Turing Instability in Inhomogeneous Arrays of Diffusively Coupled Reactors
    Werner Horsthemke, Peter K. Moore · 2004 · The Journal of Physical Chemistry A
70. Theoretical and computational studies of vectorial processes in biomolecular systems
    Qiang Cui · 2006 · Theoretical Chemistry Accounts
71. Reaction-Diffusion Based Topology Self-Organization for Periodic Data Gathering in Wireless Sensor Networks
    Naoki Wakamiya, Katsuya Hyodo, Masayuki Murata · 2008 · IEEE International Conference on Self-Adaptive and Self-Organizing Systems (SASO)
72. Delayed logistic population models revisited
    Eduardo Liz · 2014 · Publicacions Matemàtiques
73. Effect of environment fluctuations on pattern formation of single species
    L. A. da Silva, EDUARDO HENRIQUE FILIZZOLA COLOMBO, Celia Anteneodo · 2014 · Physical Review E
74. EDITORIAL — CULTURAL EVOLUTION IN SPATIALLY STRUCTURED POPULATIONS: A REVIEW OF ALTERNATIVE MODELING FRAMEWORKS
    Anne Kandler, Charles Perreault, James Steele · 2012 · Advances in Complex Systems
75. Modelling dynamics between free‐living amoebae and bacteria
    Marwa Ali, Christopher A. Rice, Andrew William Byrne, Philip E. Paré, Wendy Anne Beauvais · 2024 · Environmental Microbiology
76. Computational Design of Reaction-Diffusion Patterns Using DNA-Based Chemical Reaction Networks
    Neil Dalchau, Georg Seelig, Andrew Phillips · 2014 · Lecture notes in computer science
77. Colloquium: Hierarchy of scales in language dynamics
    Richard A. Blythe · 2015 · The European Physical Journal B
78. Travelling Waves in Near-Degenerate Bistable Competition Models
    Ebraheem O. Alzahrani, Fordyce A. Davidson, Niall Dodds · 2010 · Mathematical Modelling of Natural Phenomena
79. Dynamical transitions of Turing patterns
    Hans G. Kaper, Shouhong Wang, Masoud Yari · 2009 · Nonlinearity
80. A survey of medical applications of 3D image analysis and computer graphics
    Shigeru Muraki, Yasuyo Kita · 2005 · Systems and Computers in Japan
81. A Geometric Approach to Phase Resetting Estimation Based on Mapping Temporal to Geometric Phase
    Sorinel Adrian Oprisan · 2011 · Springer eBooks
82. Dynamics of a stochastic spatially extended system predicted by comparing deterministic and stochastic attractors of the corresponding birth–death process
    Paweł Jan Żuk, Marek Kochańczyk, Joanna Jaruszewicz-Błońska, Witold Marek Bednorz, Tomasz Lipniacki · 2012 · Physical Biology
83. Selection of Spiral Waves in Excitable Media with a Phase Wave at the Wave Back
    Vladimir S. Zykov, Noriko Oikawa, Eberhard Bodenschatz · 2011 · Physical Review Letters
84. Towards the rational design of synthetic cells with prescribed population dynamics
    Neil Dalchau, Matthew J. Smith, Samuel Martin, J. R. Brown, Stephen Emmott, Andrew Phillips · 2012 · Journal of The Royal Society Interface
85. Image based modeling of tumor growth
    Nargess Meghdadi, Madjid Soltani, Hanieh Niroomand-Oscuii, Farzan Ghalichi · 2016 · Australasian Physical & Engineering Sciences in Medicine
86. Cell-alignment patterns in the collective migration of cells with polarized adhesion
    Katsuyoshi Matsushita · 2017 · Physical review. E
87. Spiraling Asymptotic Profiles of Competition‐Diffusion Systems
    Susanna Terracini, Gianmaria Verzini, Alessandro Zilio · 2019 · Communications on Pure and Applied Mathematics
88. A single reaction-diffusion equation for the multifarious eruptions of urticaria
    Sungrim Seirin‐Lee, Yuhki Yanase, Shunsuke Takahagi, Michihiro Hide · 2020 · PLoS Computational Biology
89. Stationary peaks in a multivariable reaction–diffusion system: foliated snaking due to subcritical Turing instability
    Edgar Knobloch B, Arik Yochelis · 2021 · IMA Journal of Applied Mathematics
90. Self‐organised pattern formation increases local diversity in metacommunities
    Janne Hülsemann, Toni Klauschies, Christian Guill · 2021 · Ecology Letters
91. Popularity of Video Games and Collective Memory
    Leonardo O. Mendes, Leonardo Ribeiro da Cunha, R. S. Mendes · 2022 · Entropy
92. STABILITY OF A GENERAL DELAY DIFFERENTIAL MODEL OF THE HYPOTHALAMO-PITUITARY-ADRENOCORTICAL SYSTEM
    Danka Savić, Smiljana Jelić, Nikola Burić · 2006 · International Journal of Bifurcation and Chaos
93. Understanding flying insect dispersion: Multiscale analyses of fragmented landscapes
    Mamadou Ciss, Nicolas Parisey, Charles A. Dedryver, Jean‐Sébastien Pierre · 2012 · Ecological Informatics
94. Dynamical Behavior of Nonlinear Impulsive Abstract Partial Differential Equations on Networks with Multiple Time-Varying Delays and Mixed Boundary Conditions Involving Time-Varying Delays
    Aziz Belmiloudi · 2014 · Journal of Dynamical and Control Systems
95. Dynamics of reaction-diffusion systems in a subdiffusive regime
    D. Hernández, Carmen Varea, Rafael A. Barrio · 2009 · Physical Review E
96. Reversing invasion in bistable systems
    Ebraheem O. Alzahrani, Fordyce A. Davidson, Niall Dodds · 2011 · Journal of Mathematical Biology
97. Influence of cell-to-cell variability on spatial pattern formation
    Bettina Greese, Katja Wester, Robert Bensch, Olaf Ronneberger, Jens Timmer, Martin Hülskamp, Christian C. Fleck · 2012 · IET Systems Biology
98. Extension of Lorenz Unpredictability
    Marat U. Akhmet, Mehmet Onur Fen · 2015 · International Journal of Bifurcation and Chaos
99. A meshless method to the numerical solution of an inverse reaction–diffusion–convection problem
    Malihe Rostamian, Alimardan Shahrezaee · 2016 · International Journal of Computer Mathematics
100. Spatio-temporal pattern formation in predator-prey systems with fitness taxis
     Irene T. Heilmann, Uffe Høgsbro Thygesen, Mads Peter Sørensen · 2018 · Ecological Complexity