Mathematical Biology: II: Spatial Models and Biomedical Applications

Cited by (1,000)

Items 601–700 of 1,000

1. Efficient System Identification of Heterogeneous Distributed Systems via a Structure Exploiting Extended Kalman Filter
   Justin K. Rice, Michel Verhaegen · 2011 · IEEE Transactions on Automatic Control
2. Fractional semi-linear parabolic equations with unbounded data
   Nathaël Alibaud, Cyril Imbert · 2008 · Transactions of the American Mathematical Society
3. Formal Derivation of Lotka–Volterra–Haken Amplitude Equations of Task-Related Brain Activity in Multiple, Consecutively Performed Tasks
   T.D. Frank · 2016 · International Journal of Bifurcation and Chaos
4. Redundancy and cooperation in Notch intercellular signaling
   Juan C. Luna-Escalante, Pau Formosa-Jordan, Marta Ibañes · 2017 · Development
5. Continuous-time random walks and Fokker-Planck equation in expanding media
   Felipe Le Vot, S. B. Yuste · 2018 · Physical review. E
6. A three‐level time‐split MacCormack method for two‐dimensional nonlinear reaction‐diffusion equations
   Eric Ngondiep, Nabil Kerdid, Mohammed Abdulaziz Mohammed Abaoud, Ibrahim Al-Dayel · 2020 · International Journal for Numerical Methods in Fluids
7. Dynamics of A+B → C reaction fronts under radial advection in three dimensions
   Alessandro Comolli, A. De Wit, Fabian Brau · 2019 · Physical review. E
8. Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains
   E. Abad, Christopher N. Angstmann, Bruce Ian Henry, Anna V. McGann, Felipe Le Vot, S. B. Yuste · 2020 · Physical review. E
9. Effects of radial injection and solution thickness on the dynamics of confined A + B → C chemical fronts
   Ágota Tóth, Gábor Schuszter, Nirmali Prabha Das, Emese Lantos, Dezső Horváth, A. De Wit, Fabian Brau · 2020 · Physical Chemistry Chemical Physics
10. Rumour propagation: an operational research approach by computational and information theory
    Burcu Gürbüz, Herman Mawengkang, Ismail Husein, Gerhard‐Wilhelm Weber · 2021 · Central European Journal of Operations Research
11. A sharp threshold for disease persistence in host metapopulations
    Thanate Dhirasakdanon, Horst R. Thieme, Pauline Van den Driessche · 2007 · Journal of Biological Dynamics
12. Inhomogeneity of epidemic spreading
    Zhenzhen Liu, Xingyuan Wang, Mogei Wang · 2010 · Chaos An Interdisciplinary Journal of Nonlinear Science
13. Dynamics of fisheries with prey reserve and harvesting
    Sara A. Khamis, Jean M. Tchuenche, Markku Lukka, Matti Heiliö · 2011 · International Journal of Computer Mathematics
14. Bifurcation in infinite dimensional spaces and applications in spatiotemporal biological and chemical models
    Junping Shi · 2009 · Frontiers of Mathematics
15. Biomimicry and Fuzzy Modeling: A Match Made in Heaven
    Michael Margaliot A · 2008 · IEEE Computational Intelligence Magazine
16. 0 SPIKES AND DIFFUSION WAVES IN ONE-DIMENSIONAL MODEL OF CHEMOTAXIS
    Grzegorz Karch, Kanako Suzuki · 2016
17. Global existence and stability in a two-species chemotaxis system
    Huanhuan Qiu, Shangjiang Guo · 2018 · Discrete and Continuous Dynamical Systems - B
18. High Cooperativity in Negative Feedback can Amplify Noisy Gene Expression
    Pavol Bokes, Yen Ting Lin, Abhyudai Singh · 2018 · Bulletin of Mathematical Biology
19. A reaction–diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modelling
    Roman M Cherniha, Vasyl’ Davydovych · 2021 · European Journal of Applied Mathematics
20. Reaction–Diffusion Equations in Mathematical Models Arising in Epidemiology
    Vasyl’ Davydovych, V. A. Dutka, Roman M Cherniha · 2023 · Symmetry
21. A mathematical framework for evo-devo dynamics
    Mauricio González-Forero · 2023 · Theoretical Population Biology
22. Comprehensive Numerical Analysis of Time-Fractional Reaction–Diffusion Models with Applications to Chemical and Biological Phenomena
    Kolade Matthew Owolabi, Sonal Jain, Edson Pindza, Eben Maré · 2024 · Mathematics
23. Exponential convergence to equilibrium in a coupled gradient flow system modeling chemotaxis
    Jonathan Zinsl, Daniel Matthes · 2015 · Analysis & PDE
24. Spiral and never-settling patterns in active systems
    Xingbo Yang, Davide Marenduzzo, M. C. Marchetti · 2014 · Physical Review E
25. Turbulence propagation in heat flux-driven plasmas: implications for temperature profile structure
    Z.H. Wang, P. H. Diamond, Ö. D. Gürcan, X. Garbet, X.G. Wang · 2011 · Nuclear Fusion
26. From population dynamics to modelling the competition between tumors and immune system
    Luigi Preziosi · 1996 · Mathematical and Computer Modelling
27. A Turing–Hopf Bifurcation Scenario for Pattern Formation on Growing Domains
    Jorge A. Castillo, Faustino Sánchez-Garduño, Pablo Padilla · 2016 · Bulletin of Mathematical Biology
28. Fast and high temperature hyperthermia coupled with radiotherapy as a possible new treatment for glioblastoma
    Giovanni Borasi, Alan E. Nahum, Margarethus Marius Paulides, Gibin Powathil, Giorgio Ivan Russo, Laura Fariselli, Debora Lamia, Roberta Cirincione, Giusi Irma Forte, Cristian Borrazzo et al. · 2016 · Journal of Therapeutic Ultrasound
29. A free boundary problem of a diffusive SIRS model with nonlinear incidence
    Jia-Feng Cao, Wan‐Tong Li, Jie Wang, Fei-Ying Yang · 2017 · Zeitschrift für angewandte Mathematik und Physik
30. Alterations in Nuclear Lamina and the Cytoskeleton of Bone Marrow-Derived Human Mesenchymal Stem Cells Cultured Under Simulated Microgravity Conditions
    Chaiyong Koaykul, Mee‐Hae Kim, Yumi Kawahara, Louis Yuge, Masahiro Kino‐oka · 2019 · Stem Cells and Development
31. Gradient Extension of Classical Material Models: From Nuclear & Condensed Matter Scales to Earth & Cosmological Scales
    Elias C. Aifantis · 2021 · Springer tracts in mechanical engineering
32. The Pax6 master control gene initiates spontaneous retinal development via a self-organising Turing network
    Timothy Grocott, Estefanía Lozano-Velasco, Gi Fay Mok, Andrea Münsterberg · 2020 · Development
33. Deciphering chaos in evolutionary games
    Archan Mukhopadhyay, Sagar Chakraborty · 2020 · Chaos An Interdisciplinary Journal of Nonlinear Science
34. Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise
    Thomas E. Woolley, Ruth E. Baker, Eamonn A. Gaffney, Philip K. Maini · 2011 · Physical Review E
35. Regular patterns in dichotomically driven activator-inhibitor dynamics
    X. Sailer, Dirk Hennig, Valentina Beato, Harald Engel, Lutz Schimansky-Geier · 2006 · Physical Review E
36. Explicit travelling waves and invariant algebraic curves
    Armengol Gasull, Héctor Giacomini · 2015 · Nonlinearity
37. Robust Control and Hot Spots in Spatiotemporal Economic Systems
    William A. Brock, Anastasios Xepapadeas, Athanasios N. Yannacopoulos · 2014 · Dynamic Games and Applications
38. Diffusible ligand and lateral inhibition dynamics for pattern formation
    Pau Formosa-Jordan, Marta Ibañes · 2009 · Journal of Statistical Mechanics Theory and Experiment
39. Pattern selection in a predation model with self and cross diffusion
    Weiming Wang, Wenjuan Wang, Yezhi Lin, Yongji Tan · 2011 · Chinese Physics B
40. Two-Species Migration and Clustering in Two-Dimensional Domains
    Lawrence Kurowski, Andrew L. Krause, Hanako Mizuguchi, Peter Grindrod, Robert A. Van Gorder · 2017 · Bulletin of Mathematical Biology
41. Maximization of viability time in a mathematical model of cancer therapy
    Alexander S. Bratus, Igor Samokhin, Ivan Yegorov, Daniil Yurchenko · 2017 · Mathematical Biosciences
42. A mathematical model of angiogenesis and tumor growth: analysis and application in anti-angiogenesis therapy
    Xiaoming Zheng, Mohyeedden Sweidan · 2018 · Journal of Mathematical Biology
43. INTEGRATING IDENTIFICATION AND QUALITATIVE ANALYSIS FOR THE DYNAMIC MODEL OF A LAGOON
    Andrea Garulli, Chiara Mocenni, Antonio Vicino, Alberto Tesi · 2003 · International Journal of Bifurcation and Chaos
44. Stereoscopic ranging by matching image modulations
    Tieh-Yuh Chen, A.C. Bvik, Lawrence K. Cormack · 1999 · IEEE Transactions on Image Processing
45. Travelling waves in dryland ecology: continuous and discontinuous connections in a hyperbolic vegetation model
    Gabriele Grifó, Carmela Curró, Giovanna Valenti · 2025 · Nonlinear Dynamics
46. Coupling solid and fluid stresses with brain tumour growth and white matter tract deformations in a neuroimaging-informed model
    Giulio Lucci, Abramo Agosti, Pasquale Ciarletta, Chiara Giverso · 2022 · Biomechanics and Modeling in Mechanobiology
47. Eckhaus instability of stationary patterns in hyperbolic reaction–diffusion models on large finite domains
    Giancarlo Consolo, Gabriele Grifó · 2022 · Partial Differential Equations and Applications
48. Hopf Bifurcation and Turing Instability of a Delayed Diffusive Zooplankton–Phytoplankton Model with Hunting Cooperation
    Xin-You Meng, Xiao Li · 2024 · International Journal of Bifurcation and Chaos
49. Impact of noise on pattern formation in a predator–prey model
    LI An-wei · 2011 · Nonlinear Dynamics
50. Modeling the morphogenesis of brine channels in sea ice
    Bernd Kutschan, Klaus Morawetz, Sibylle Gemming · 2010 · Physical Review E
51. A spatiotemporal model for predicting grain aphid population dynamics and optimizing insecticide sprays at the scale of continental France
    Mamadou Ciss, Nicolas Parisey, Fabrice Moreau, Charles‐Antoine Dedryver, Jean‐Sébastien Pierre · 2013 · Environmental Science and Pollution Research
52. Searching for Spatial Patterns in a Pollinator–Plant–Herbivore Mathematical Model
    Faustino Sánchez-Garduño, Víctor F. Breña-Medina · 2010 · Bulletin of Mathematical Biology
53. Modeling populations of micro-robots for biological applications
    Paul Bogdan, Guopeng Wei, Radu Mărculescu · 2012 · International Conference on Communications
54. A radiation damage repair model for normal tissues
    Mike Partridge · 2008 · Physics in Medicine and Biology
55. Analytical, Optimal, and Sparse Optimal Control of Traveling Wave Solutions to Reaction-Diffusion Systems
    Christopher Ryll, Jakob Löber, Steffen Martens, Harald Engel, Fredi Tröltzsch · 2016 · Understanding complex systems
56. Front propagation in one-dimensional spatially periodic bistable media
    Jakob Löber, Markus Bär, Harald Engel · 2012 · Physical Review E
57. Role of dissolved oxygen on the plankton dynamics in spatio-temporal domain
    Joydip Dhar, Randhir Singh Baghel · 2015 · Modeling Earth Systems and Environment
58. Pattern production through a chiral chasing mechanism
    Thomas E. Woolley · 2017 · Physical review. E
59. Similar size of slums caused by a Turing instability of migration behavior
    Peter F. Pelz, John W. Friesen, Jakob Hartig · 2019 · Physical review. E
60. Modeling small-scale spatially distributed influences on the development of infectious diseases
    Андрій Ярославович Бомба, S. V. Baranovsky, M. S. Pasichnyk, Oksana Pryshchepa · 2020 · Mathematical Modeling and Computing
61. Turing–Hopf bifurcation in the predator–prey model with cross-diffusion considering two different prey behaviours’ transition
    Yehu Lv · 2021 · Nonlinear Dynamics
62. Relevant mathematical modelling efforts for understanding COVID-19 dynamics: an educational challenge
    João Frederico da Costa Azevedo Meyer, M B S Lima · 2022 · ZDM
63. A ratio-dependent predator-prey model with Allee effect and disease in prey
    Swarnali Sharma, G. P. Samanta · 2014 · Journal of Applied Mathematics and Computing
64. Wave propagation in a FitzHugh-Nagumo-type model with modified excitability
    Evgeny P. Zemskov, Irving R. Epstein · 2010 · Physical Review E
65. Global and local stability analysis in a nonlinear discrete-time population model
    Özlem Ak Gümüş · 2014 · Advances in Difference Equations
66. PERSISTENCE IN A RATIO-DEPENDENT PREDATOR-PREY-RESOURCE MODEL WITH STAGE STRUCTURE FOR PREY
    Manju Agarwal, SAPNA DEVI · 2010 · International Journal of Biomathematics
67. Vignettes from the field of mathematical biology: the application of mathematics to biology and medicine
    J. D. Murray · 2012 · Interface Focus
68. Pinned, locked, pushed, and pulled traveling waves in structured environments
    Ching-Hao Wang, Sakib Matin, Ashish Bino George, Kirill S. Korolev · 2019 · Theoretical Population Biology
69. A Hybrid Discrete-Continuum Model for 3-D Skeletogenesis of the Vertebrate Limb
    Richa Chaturvedi, Chuanshan Huang, Jesús A. Izaguirre, Stuart A. Newman, James A. Glazier, Mark Alber · 2004 · Lecture notes in computer science
70. Mathematical Modelling of Aerosolised Skin Grafts Incorporating Keratinocyte Clonal Subtypes
    Paula K. Denman, D. L. S. McElwain, Damien G. Harkin, Zee Upton · 2006 · Bulletin of Mathematical Biology
71. AN AGENT-BASED MODEL OF HUMAN DISPERSALS AT A GLOBAL SCALE
    Simone Callegari, John David Weissmann, Н. Ткаченко, W. P. Petersen, George Lake, Marcia S. Ponce de León, Christoph P. E. Zollikofer · 2013 · Advances in Complex Systems
72. Random walk models in the life sciences: including births, deaths and local interactions
    Michael John Plank, Matthew J. Simpson, Ruth E. Baker · 2025 · Journal of The Royal Society Interface
73. Turing instability and pattern formations for reaction-diffusion systems on 2D bounded domain
    Weihua Jiang, Xun Cao, Chun-Cheng Wang · 2021 · Discrete and Continuous Dynamical Systems - B
74. Spatiotemporal pattern formation in a prey–predator model with generalist predator
    Kalyan Manna, Malay Banerjee · 2022 · Mathematical Modelling of Natural Phenomena
75. Exact Travelling-Wave Solutions of the Extended Fifth-Order Korteweg-de Vries Equation via Simple Equations Method (SEsM): The Case of Two Simple Equations
    Елена Николова · 2022 · Entropy
76. Dynamics of a spatiotemporal SIS epidemic model with distinct mobility range
    Salih Djilali · 2024 · Applicable Analysis
77. PARTICLE SIMULATIONS OF MORPHOGENESIS
    Petros Koumoutsakos, Basil S. Bayati, Florian Milde, Gerardo Tauriello · 2011 · Mathematical Models and Methods in Applied Sciences
78. Delayed feedback induces motion of localized spots in reaction-diffusion systems
    Mustapha Tlidi, Alberto Sonnino, Giorgio Sonnino · 2013 · Physical Review E
79. MULTIPARAMETRIC BIFURCATIONS IN AN ENZYME-CATALYZED REACTION MODEL
    E. Freire, L. PIZARRO, Alejandro J. Rodríguez-Luis, Fernando Fernández-Sánchez · 2005 · International Journal of Bifurcation and Chaos
80. Patterns of periodic holes created by increased cell motility
    Ting‐Hsuan Chen, Chunyan Guo, Xin Zhao, Yucheng Yao, Kristina I. Boström, Margaret N. Wong, Yin Tintut, Linda L. Demer, Chih‐Ming Ho, Alan Garfinkel · 2012 · Interface Focus
81. Patterns and Transitions to Instability in an Intraspecific Competition Model with Nonlocal Diffusion and Interaction
    Özgür Hakan AYDOĞMUŞ · 2015 · Mathematical Modelling of Natural Phenomena
82. Large-displacement statistics of the rightmost particle of the one-dimensional branching Brownian motion
    Bernard Derrida, Baruch Meerson, Pavel Vasilievich Sasorov · 2016 · Physical review. E
83. Scaling of morphogenetic patterns in reaction-diffusion systems
    Manan’Iarivo Rasolonjanahary, Bakhtier N. Vasiev · 2016 · Journal of Theoretical Biology
84. Fast-diffusion limit with large noise for systems of stochastic reaction-diffusion equations
    Wael W. Mohammed, Dirk Blömker · 2016 · Stochastic Analysis and Applications
85. Control of apoptosis by SMAR 1
    Md. Zubbair Malik, Md. Jahoor Alam, Romana Ishrat, Subhash Mohan Agarwal, R. K. Brojen Singh · 2016 · Molecular BioSystems
86. Topological stabilization for synchronized dynamics on networks
    Giulia Cencetti, Franco Bagnoli, Giorgio Battistelli, Luigi Chisci, Francesca Di Patti, Duccio Fanelli · 2017 · The European Physical Journal B
87. Exploratory cell dynamics: a sense of touch for cells?
    Perihan Nalbant, Leif Dehmelt · 2018 · Biological Chemistry
88. Existence, uniqueness and a priori estimates for a nonlinear integro-differential equation
    Monica De Angelis, Pasquale Renno · 2008 · Ricerche di Matematica
89. On solutions to a FitzHugh–Rinzel type model
    Fabio De Angelis, Monica De Angelis · 2020 · Ricerche di Matematica
90. Fractals, morphogenesis and triply periodic minimal surfaces in sol–gel-derived thin films
    Olga Alekseevna Shilova · 2020 · Journal of Sol-Gel Science and Technology
91. Precision and dissipation of a stochastic Turing pattern
    Shubhashis Rana, Andre C. Barato · 2020 · Physical review. E
92. Nonlinear conservation laws for the Schrödinger boundary value problems of second order
    Ming Yuan Ren, Shiwei Yun, Zhenping Li · 2020 · Boundary Value Problems
93. Traveling waves in a nonlocal dispersal SIR model with non-monotone incidence
    Yan-Xia Feng, Wan‐Tong Li, Fei-Ying Yang · 2020 · Communications in Nonlinear Science and Numerical Simulation
94. Ecological Modelling of Insect Movement in Cropping Systems
    Adriano Gomes Garcia, José Bruno Malaquias, Cláudia Pio Ferreira, Maysa Pereira Tomé, Igor Daniel Weber, Wesley Augusto Conde Godoy · 2021 · Neotropical Entomology
95. A CFD Approach for Risk Assessment Based on Airborne Pathogen Transmission
    Hamid Motamedi Zoka, Mohammad Moshfeghi, Hadi Bordbar, Parham A. Mirzaei, Yahya Sheikhnejad · 2021 · Atmosphere
96. Optogenetic Tools for Control of Public Goods in Saccharomyces cerevisiae
    Neydis Moreno Morales, Michael T. Patel, Cameron J. Stewart, Kieran Sweeney, Megan N. McClean · 2021 · mSphere
97. Spatiotemporal dynamics of a reaction–diffusion epidemic model with nonlinear incidence rate
    Yongli Cai, Weiming Wang · 2011 · Journal of Statistical Mechanics Theory and Experiment
98. Rich Dynamics of an Epidemic Model with Saturation Recovery
    Hui Wan, Jinǵan Cui · 2013 · Journal of Applied Mathematics
99. Mathematical Modeling of Human Behaviors During Catastrophic Events: Stability and Bifurcations
    Guillaume Cantin, Nathalie Verdière, Valentina Lanza, M. A. Aziz-Alaoui, Rodolphe Charrier, Cyrille Bertelle, Damienne Provitolo, Edwige Dubos-Paillard · 2016 · International Journal of Bifurcation and Chaos
100. Defining and characterizing the critical transition state prior to the type 2 diabetes disease
     Bo Jin, Rui Liu, Shiying Hao, Zhen Li, Chunqing Zhu, Xin Zhou, Pei Chen, Tianyun Fu, Zhongkai Hu, Qian Wu et al. · 2017 · PLoS ONE