Mathematical Biology: II: Spatial Models and Biomedical Applications

Cited by (1,000)

Items 901–1,000 of 1,000

1. Optimal control of drug delivery to brain tumors for a test of PDE driven models using the Galerkin finite element method
   Siddhartha Pratim Chakrabarty, Floyd B. Hanson · 2006 · IEEE Conference on Decision and Control (CDC)
2. FINAL STATE OF ECOSYSTEM CONTAINING GRASS, SHEEP AND WOLVES WITH AGING
   Mingfeng He, Qiuhui Pan, SHUANG WANG · 2005 · International Journal of Modern Physics C
3. A Computational Architecture Based on Cellular Processing
   Mark Shackleton, Chris Winter · 1998 · Springer eBooks
4. Emulating Cellular Automata in Chemical Reaction-Diffusion Networks
   Dominic Scalise, Rebecca Schulman · 2014 · Lecture notes in computer science
5. STOCHASTIC PROPERTIES OF TUMOR GROWTH DRIVEN BY WHITE LÉVY NOISE
   LILI JIANG, Xiaoqin Luo, Dan Wu, Shiqun Zhu · 2012 · Modern Physics Letters B
6. A Stochastic Two Species Competition Model: Nonequilibrium Fluctuation and Stability
   G. P. Samanta · 2011 · International Journal of Stochastic Analysis
7. Stability and bifurcation analysis of a heroin model with diffusion, delay and nonlinear incidence rate
   Soumen Kundu, Nitu Kumari, Said Kouachi, Piu Kundu · 2021 · Modeling Earth Systems and Environment
8. The Ideal Free Distribution in a Predator–Prey Model with Multifactor Taxis
   Pavel A. Zelenchuk, Vyacheslav Geog Tsybulin · 2021 · BIOPHYSICS
9. Parameter Estimation in the Age of Degeneracy and Unidentifiability
   Dylan Lederman, Raghav Patel, Omar Itani, Horacio G. Rotstein · 2022 · Mathematics
10. Spatial and Temporal Oscillations of Surface Tension Induced by an A + B → C Traveling Front
    Reda Tiani, Laurence Rongy · 2022 · Frontiers in Physics
11. Double Hopf bifurcation in nonlocal reaction-diffusion systems with spatial average kernel
    Zuolin Shen, Yang Liu, Junjie Wei · 2022 · Discrete and Continuous Dynamical Systems - B
12. Persistence of chimera states and the challenge for synchronization in real-world networks
    Riccardo Muolo, Joseph D. O’Brien, Timotéo Carletti, Malbor Asllani · 2024 · The European Physical Journal B
13. Asymptotic profiles of a nonlocal dispersal SIS epidemic model with saturated incidence
    Yan-Xia Feng, Wan‐Tong Li, Fei-Ying Yang · 2024 · Proceedings of the Royal Society of Edinburgh Section A Mathematics
14. Excitable dynamics driven by mechanical feedback in biological tissues
    Fernanda Pérez-Verdugo, Samuel Banks, Shiladitya Banerjee · 2024 · Communications Physics
15. Theoretical and Experimental Approaches to Study of Biological Objects by Mathematical Methods Using the Example of Hormone Production in the Thyroid Gland
    Olha Ryabukha · 2024 · SSP Modern Pharmacy and Medicine
16. Symmetry breaking and mismatch in the torsional mechanism of ATP synthesis by FOF1-ATP synthase: mathematical number theory proof and its chemical and biological implications
    Sunil Nath · 2024 · Theory in Biosciences
17. Numerical Analysis of a 2d Singularly Perturbed Semilinear Reaction-Diffusion Problem
    Natalia Kopteva · 2009 · Lecture notes in computer science
18. On the effects of migration and inter-specific competitions in steady state of some Lotka-Volterra model
    Fang Li, Liping Wang, Yang Wang · 2011 · Discrete and Continuous Dynamical Systems - B
19. Infection fronts in contact disease spread
    Uta Naether, Eugene B. Postnikov, Igor Michailovitsch Sokolov · 2008 · The European Physical Journal B
20. Molding the dynamic system with memory-dependent derivative
    Huifeng Li, Jin-Liang Wang · 2012 · Chinese Control and Decision Conference (CCDC)
21. Kinetic models for historical processes of fast invasion and aggression
    Vladimir V. Aristov, Oleg Vadimovich Ilyin · 2015 · Physical Review E
22. Numerical simulation of a stroke: Computational problems and methodology
    Stéphane Descombes, Thierry Dumont · 2007 · Progress in Biophysics and Molecular Biology
23. The complex dynamics of a stochastic toxic-phytoplankton-zooplankton model
    Feng Rao · 2014 · Advances in Difference Equations
24. Pattern formation for reactive species undergoing anisotropic diffusion
    Daniel M. Busiello, Gwendoline Planchon, Malbor Asllani, Timotéo Carletti, Duccio Fanelli · 2015 · The European Physical Journal B
25. Dynamics of a stage-structured single population system with winter hibernation and impulsive effect in polluted environment
    Jianjun Jiao, Shaohong Cai, Yujuan Zhang, Limei Li · 2016 · International Journal of Biomathematics
26. Shadow Limit Using Renormalization Group Method and Center Manifold Method
    Anna K. Marciniak-Czochra, Andro Mikelić · 2016 · Vietnam Journal of Mathematics
27. Noise-Induced and Control of Collective Behavior in a Population of Coupled Chemical Oscillators
    Alberto P. Muñuzuri, Juan Pérez‐Mercader · 2017 · The Journal of Physical Chemistry A
28. An Analysis of Discrete Stage-Structured Prey and Prey-Predator Population Models
    Arild Wikan · 2017 · Discrete Dynamics in Nature and Society
29. Estimating intratumoral heterogeneity from spatiotemporal data
    Erica M. Rutter, Harvey Thomas Banks, Kevin Flores · 2018 · Journal of Mathematical Biology
30. Stabilization of a spatially uniform steady state in two systems exhibiting Turing patterns
    Keiji Konishi, Naoyuki Hara · 2018 · Physical review. E
31. Preytaxis and Travelling Waves in an Eco-epidemiological Model
    Andrew M. Bate, Frank M. Hilker · 2018 · Bulletin of Mathematical Biology
32. The influence of infiltration feedback on the characteristic of banded vegetation pattern on hillsides of semiarid area
    Xiaoli Wang, Guohong Zhang · 2019 · PLoS ONE
33. Turing conditions for pattern forming systems on evolving manifolds
    Robert A. Van Gorder, Václav Klika, Andrew L. Krause · 2021 · Journal of Mathematical Biology
34. Emergent spatiotemporal instabilities in reactive spatially extended systems by thermodiffusion
    Pushpita Ghosh · 2019 · Physical review. E
35. Superspreading of SARS-CoV-2 in the USA
    Calvin Pozderac, Brian J. Skinner · 2021 · PLoS ONE
36. A “Numerical Evo-Devo” Synthesis for the Identification of Pattern-Forming Factors
    Richard Bailleul, Marie Manceau, Jonathan David Touboul · 2020 · Cells
37. Sensitivity of dryland vegetation patterns to storm characteristics
    Octavia V. Crompton, Sally Thompson · 2020 · Ecohydrology
38. Simulation of activator–inhibitor dynamics based on cross-diffusion Brusselator reaction–diffusion system via a differential quadrature-radial point interpolation method (DQ-RPIM) technique
    Mostafa Abbaszadeh, Mobina Golmohammadi, Mehdi Dehghan · 2021 · The European Physical Journal Plus
39. The Effect of Radiotherapy on Diffuse Low-Grade Gliomas Evolution: Confronting Theory with Clinical Data
    Léo Adenis, S. Plaszczynski, Basil Grammaticos, Johan Pallud, Mathilde Badoual · 2021 · Journal of Personalized Medicine
40. Chemical computing based on Turing patterns in two coupled cells with equal transport coefficients
    František Muzika, Lenka Schreiberová, Igor Schreiber · 2014 · RSC Advances
41. Spatiotemporal noise triggering infiltrative tumor growth with immunosurveillance
    Wei-Rong Zhong, Yuan-Zhi Shao, Li Li, Feng-Hua Wang, Zhen-Hui He · 2008 · Europhysics Letters (EPL)
42. Deterministic Chaos vs. Stochastic Fluctuation in an Eco-epidemic Model
    Partha Sarathi Mandal, Malay Banerjee · 2012 · Mathematical Modelling of Natural Phenomena
43. Dynamics of a Michaelis–Menten-type predation model incorporating a prey refuge with noise and external forces
    Feng Rao, Weiming Wang · 2012 · Journal of Statistical Mechanics Theory and Experiment
44. On assessing quality of therapy in non-linear distributed mathematical models for brain tumor growth dynamics
    Alexander S. Bratus, Elena Fimmel, Svetlana Yu. Kovalenko · 2014 · Mathematical Biosciences
45. Stability of cluster solutions in a cooperative consumer chain model
    Juncheng Wei, Matthias Winter · 2012 · Journal of Mathematical Biology
46. Velocity fluctuations of noisy reaction fronts propagating into a metastable state
    Evgeniy Khain, Baruch Meerson · 2013 · Journal of Physics A Mathematical and Theoretical
47. A CAEV epidemiological model for goat breeding
    Marta Pittavino, Luca Ferreri, Mario Giacobini, Luigi Bertolotti, Sergio Rosati, Ezio Venturino · 2013 · Applied Mathematics and Computation
48. On solutions of a system of hereditary and self-referred partial-differential equations
    Nguyen Minh Tuan, Lan T. T. Nguyen · 2010 · Numerical Algorithms
49. Reaction-diffusion front crossing a local defect
    Jean-Guy Caputo, Benoît Sarels · 2011 · Physical Review E
50. Techniques for analysing pattern formation in populations of stem cells and their progeny
    John Fozard, Glen R. Kirkham, Lee D.K. Buttery, John R. King, Oliver E. Jensen, Helen Mary Byrne · 2011 · BMC Bioinformatics
51. An exactly solvable model of subdiffusion–reaction front propagation
    ALEXANDER A. NEPOMNYASHCHY, V. A. Volpert · 2013 · Journal of Physics A Mathematical and Theoretical
52. PATTERN FORMATION IN CULTURES OFBACILLUS SUBTILIS
    DIRK HARTMANN · 2004 · Journal of Biological Systems
53. Understanding Signaling Dynamics Through Synthesis
    Adrian L. Slusarczyk, Ron Weiss · 2012 · Science Signaling
54. Discrete Turing patterns in coupled reaction cells in a cyclic array
    František Muzika, Lenka Schreiberová, Igor Schreiber · 2016 · Reaction Kinetics Mechanisms and Catalysis
55. Mathematical study of two-variable systems with adaptive numerical methods
    Kolade Matthew Owolabi · 2016 · Numerical Analysis and Applications
56. Sharp profiles in models of collective movements
    Andrea Corli, Lorenzo di Ruvo, Luisa Malaguti · 2017 · Nonlinear Differential Equations and Applications NoDEA
57. A hunter-gatherer–farmer population model: Lie symmetries, exact solutions and their interpretation
    Roman M Cherniha, Vasyl’ Davydovych · 2018 · European Journal of Applied Mathematics
58. Bifurcations and spatiotemporal patterns in a ratio‐dependent diffusive Holling‐Tanner system with time delay
    Qi An, Weihua Jiang · 2018 · Mathematical Methods in the Applied Sciences
59. Entire solutions for a delayed nonlocal dispersal system with monostable nonlinearities
    Yanling Meng, Zhixian Yu, Cheng-Hsiung Hsu · 2019 · Nonlinearity
60. Standard and fractional Ornstein-Uhlenbeck process on a growing domain
    Felipe Le Vot, S. B. Yuste, E. Abad · 2019 · Physical review. E
61. Modelling of the Infectious Disease Process with Taking into Account of Small-Scale Spatially Distributed Influences
    Андрій Ярославович Бомба, S. V. Baranovsky, Микола Дмитрович Пасічник, Oksana Pryshchepa · 2020 · IEEE International Conference on Computer Sciences and Information Technologies (CSIT)
62. Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations
    Gerhard Kirsten · 2021 · Journal of Computational Dynamics
63. Analysis of a finite volume method for a bone growth system in vivo
    Yves Coudière, Mazen Saad, Alexandre Uzureau · 2013 · Computers & Mathematics with Applications
64. Turing patterns in CNN's based on a new cell
    Liviu Goraş, Leon Ong Chua · 2002 · IEEE International Workshop on Cellular Neural Networks and their Applications
65. A PREDATOR–PREY MODEL BASED ON THE FULLY PARALLEL CELLULAR AUTOMATA
    Mingfeng He, HONGBO RUAN, CHANGLIANG YU · 2003 · International Journal of Modern Physics C
66. An Algebraic Multigrid Method for a Class of Elliptic Differential Systems
    Alfio Borzı̀, Giuseppe Borzi · 2003 · SIAM Journal on Scientific Computing
67. Simulation of lung alveolar epithelial wound healing in vitro
    Sean H. J. Kim, Michael A. Matthay, Keith E. Mostov, C. Anthony Hunt · 2010 · Journal of The Royal Society Interface
68. Implementation of reaction-diffusion cellular automata
    Masahiko Hiratsuka, Takafumi Aoki, 宏之 守光, T. Higuchi · 2002 · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications
69. Ecological Economics
    Anastasios Xepapadeas · 2008 · Palgrave Macmillan UK eBooks
70. Effective analytical solutions versus numerical treatments of Chavy-Waddy-Kolokolnikov bacterial aggregates model in phototaxic
    Emad H. M. Zahran, Ahmet Bekir, Reda A. Ibrahim · 2024 · The European Physical Journal Plus
71. Fractional Models in Biology and Medicine
    Kevin Burrage, Pamela Burrage, Alfonso Bueno‐Orovio · 2024 · Nonlinear systems and complexity
72. Bifurcation and optimal harvesting analysis of a discrete-time predator–prey model with fear and prey refuge effects
    Jie Liu, Qinglong Wang, Xuyang Cao, Ting Yu · 2024 · AIMS Mathematics
73. Pattern formation in a fractional-order reaction-diffusion predator-prey model with Holling-III functional response
    Zhaohua Wu, Zhiming Wang, Yongli Cai, Hongwei Yin, Weiming Wang · 2025 · Advances in Continuous and Discrete Models
74. Light-induced cortical excitability reveals programmable shape dynamics in starfish oocytes
    Jinghui Liu, Tom Burkart, Alexander Ziepke, John Reinhard, Yu-Chen Chao, Tzer Han Tan, S. Zachary Swartz, Erwin Frey, Nikta Fakhri · 2025 · Nature Physics
75. Optimal Vaccination Strategy under Saturated Treatment using the Stochastic SIR Model
    Masaaki Ishikawa · 2013 · Transactions of the Institute of Systems Control and Information Engineers
76. Dynamics of Notch Activity in a Model of Interacting Signaling Pathways
    Majid Bani-Yaghoub, David E. Amundsen · 2010 · Bulletin of Mathematical Biology
77. Identifiability for the pointwise source detection in Fisher’s reaction–diffusion equation
    Faker Ben Belgacem · 2012 · Inverse Problems
78. TRAVELING PATTERN INDUCED BY MIGRATION IN AN EPIDEMIC MODEL
    Li Li, Gui‐Quan Sun, Zhen Jin · 2009 · Journal of Biological Systems
79. Reaction–diffusion approximation of nonlocal interactions using Jacobi polynomials
    Hirokazu Ninomiya, Yoshitaro Tanaka, Hiroko Yamamoto · 2018 · Japan Journal of Industrial and Applied Mathematics
80. On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems
    Bor‐Sen Chen, Xiangyun Lin, Weihai Zhang, Tianshou Zhou · 2018 · Complexity
81. On the fast spreading scenario
    Siming He, Eitan Tadmor, Andrej Zlatoš · 2022 · Communications of the American Mathematical Society
82. Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals
    Ru-Yue Hu, Wan‐Tong Li, Wen‐Bing Xu · 2022 · Journal of Nonlinear Science
83. Degenerate Turing Bifurcation and the Birth of Localized Patterns in Activator-Inhibitor Systems
    Edgardo Villar-Sepúlveda, ALAN R. CHAMPNEYS · 2023 · SIAM Journal on Applied Dynamical Systems
84. Structured methods for parameter inference and uncertainty quantification for mechanistic models in the life sciences
    Michael John Plank, Matthew J. Simpson · 2024 · Royal Society Open Science
85. A diffusive predator-prey system with hunting cooperation in predators and prey-taxis: I global existence and stability
    Wonlyul Ko, Kimun Ryu · 2024 · Journal of Mathematical Analysis and Applications
86. NONAUTONOMOUS TWO-PERIODIC GUMOVSKI–MIRA DIFFERENCE EQUATIONS
    Anna Cima, Armengol Gasull, Vı́ctor Mañosa · 2012 · International Journal of Bifurcation and Chaos
87. Self-regulation in a minimal model of chemical self-replication
    Sylvia J. Lou, Enrique Peacock-López · 2011 · Journal of Biological Physics
88. Discrete model of periodic pattern formation through a combined autocrine–juxtacrine cell signaling
    David S. A. Simakov, L. M. Pismen · 2013 · Physical Biology
89. Lattice Boltzmann Modeling of Advection-Diffusion-Reaction Equations: Pattern Formation Under Uniform Differential Advection
    S. G. Ayodele, Dierk Raabe, Fathollah Varnik · 2012 · Communications in Computational Physics
90. Population dynamics in an intermittent refuge
    EDUARDO HENRIQUE FILIZZOLA COLOMBO, Celia Anteneodo · 2016 · Physical review. E
91. Monotone Difference Schemes for Weakly Coupled Elliptic and Parabolic Systems
    Piotr P. Matus, Francisco J. Gaspar, Lê Minh Hiếu, Vo Thi Kim Tuyen · 2017 · Computational Methods in Applied Mathematics
92. Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case
    Dmitri L. Finkelshtein, Yuri Kondratiev, Pasha Tkachov · 2019 · Journal of Elliptic and Parabolic Equations
93. Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models
    Lihua Zhang, Fengsheng Xu · 2018 · Advances in Difference Equations
94. Quorum Sensing-Based Nanonetwork Synchronization
    Ponsuge Surani Shalika Tissera, Sangho Choe, Rajiv Punmiya · 2019 · IEEE Wireless Communications Letters
95. Turing patterns induced by cross-diffusion in a 2D domain with strong Allee effect
    Naveed Iqbal, Ranchao Wu · 2019 · Comptes Rendus Mathématique
96. Analysis and profiles of travelling wave solutions to a Darcy-Forchheimer fluid formulated with a non-linear diffusion
    Saeed Ur Rahman, José Luis Díaz Palencia, Julián Roa González, Universidad a Distancia de Madrid. Vía de Servicio A-6, 15, 28400 Collado Villalba, Madrid, Spain, Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra, Pozuelo-Majadahonda Km 1800, 28223, Pozuelo de Alarcón, Madrid, Spain · 2022 · AIMS Mathematics
97. Existence and Uniqueness of Solutions for Abstract Integro-differential Equations with State-Dependent Delay and Applications
    Eduardo Hernández, Vanessa Rolnik, Thauana Marcela Ferrari · 2022 · Mediterranean Journal of Mathematics
98. Anomalous Collective Dynamics of Autochemotactic Populations
    Jasper van der Kolk, Florian Raßhofer, Richard Swiderski, Astik Haldar, Abhik Basu, Erwin Frey · 2023 · Physical Review Letters
99. Q-Conditional Symmetries and Exact Solutions of Nonlinear Reaction–Diffusion Systems
    Oleksii Pliukhin · 2015 · Symmetry
100. A simplified model system for Toxoplasma gondii spread within a heterogeneous environment
     Michel R. Langlais, Maud Lélu, C. Avenet, Emmanuelle Gilot‐Fromont · 2011 · Nonlinear Dynamics