Mathematical Biology: II: Spatial Models and Biomedical Applications

Cited by (1,000)

Items 501–600 of 1,000

1. Pattern selection in a ratio-dependent predator–prey model
   Weiming Wang, Yezhi Lin, Feng Rao, Lei Zhang, Yongji Tan · 2010 · Journal of Statistical Mechanics Theory and Experiment
2. Mathematical Analysis and Pattern Formation for a Partial Immune System Modeling the Spread of an Epidemic Disease
   Mostafa Bendahmane, Mazen Saad · 2010 · Acta Applicandae Mathematicae
3. A Higher Order Numerical Scheme for Some Nonlinear Differential Equations: Models in Biology
   Ramesh Chand Mittal, Ram Jiwari · 2011 · International Journal for Computational Methods in Engineering Science and Mechanics
4. Spatiotemporal dynamics of a predator–prey model
   Pan-Ping Liu, Yong Xue · 2011 · Nonlinear Dynamics
5. Stability analysis of reaction-diffusion models on evolving domains: The effects of cross-diffusion
   Anotida Madzvamuse, Hussaini S. Ndakwo, Raquel Barreira · 2015 · Discrete and Continuous Dynamical Systems
6. Closed incision management with negative pressure wound therapy
   Pascal M. Dohmen, Martín Misfeld, Michael Andrew Borger, Friedrich Wilhelm Mohr · 2014 · Expert Review of Medical Devices
7. Ecosystem properties self‐organize in response to a directional fog–vegetation interaction
   Daniel E. Stanton, Juan J. Armestó, Lars O. Hedin · 2014 · Ecology
8. Complex dynamic behaviors of a discrete predator–prey model with stage structure and harvesting
   Boshan Chen, Jiejie Chen · 2016 · International Journal of Biomathematics
9. A prey-predator model with migrations and delays
   Isam Al‐Darabsah, Xianhua Tang, Yuan Yuan · 2016 · Discrete and Continuous Dynamical Systems - B
10. Optimal control of a chemotaxis system
    K. Renee Fister, C. Maeve McCarthy · 2003 · Quarterly of Applied Mathematics
11. Shape of the growing front of biofilms
    Xin Wang, Howard A. Stone, Ramin Golestanian · 2017 · New Journal of Physics
12. Uncertain population model with age-structure
    Yuhong Sheng, Rong Gao, Zhiqiang Zhang · 2017 · Journal of Intelligent & Fuzzy Systems
13. Turing patterns in a network-reduced FitzHugh-Nagumo model
    Timotéo Carletti, Hiroya Nakao · 2020 · Physical review. E
14. Optimisation of Cancer Drug Treatments Using Cell Population Dynamics
    Frédérique Billy, Jean Clairambault, Olivier Fercoq · 2012 · Lecture notes on mathematical modelling in the life sciences
15. Wavy fronts and speed bifurcation in excitable systems with cross diffusion
    Evgeny P. Zemskov, Klaus Kassner, Marcus J. B. Hauser · 2008 · Physical Review E
16. Optimal Spatial Harvesting Strategy and Symmetry-Breaking
    Kazuhiro Kurata, Junping Shi · 2007 · Applied Mathematics & Optimization
17. Locally monotonic diffusion
    Scott T. Acton · 2000 · IEEE Transactions on Signal Processing
18. Ecological Invasion, Roughened Fronts, and a Competitor’s Extreme Advance: Integrating Stochastic Spatial-Growth Models
    Lauren O'Malley, G. Korniss, Thomas B. Caraco · 2009 · Bulletin of Mathematical Biology
19. Asymptotic Behavior of Solutions for Forest Kinematic Model
    Le Huy Chuan, Tohru Tsujikawa, Atsushi Yagi · 2006 · Funkcialaj Ekvacioj
20. Complexity, fractals, disease time, and cancer
    William B. Spillman Jr., John L. Robertson, William R. Huckle, Bindu S. Govindan, Kenith E. Meissner · 2004 · Physical Review E
21. Global existence for semilinear reaction-diffusion systems on evolving domains
    Chandrasekhar Venkataraman, Omar Lakkis, Anotida Madzvamuse · 2012
22. Knowledge-Informed Machine Learning for Cancer Diagnosis and Prognosis: A Review
    Lingchao Mao, Hairong Wang, Leland Hu, Nhan L. Tran, Peter Canoll, Kristin R. Swanson, Jing Li · 2024 · IEEE Transactions on Automation Science and Engineering
23. Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model
    Willy J. F. Govaerts, Reza Khoshsiar Ghaziani · 2006 · The Journal of Difference Equations and Applications
24. The entropy dissipation method for spatially inhomogeneous reaction–diffusion-type systems
    Marco Di Francesco, Klemens Fellner, Peter A. Markowich · 2008 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
25. The structure of coevolving infection networks
    Stefan Wieland, Tomás Aquino, A. Nunes · 2012 · Europhysics Letters (EPL)
26. Energetic and entropic cost due to overlapping of Turing-Hopf instabilities in the presence of cross diffusion
    Premashis Kumar, Gautam Gangopadhyay · 2020 · Physical review. E
27. Turing Instability and Pattern Formation in a Strongly Coupled Diffusive Predator–Prey System
    Guangping Hu, Zhaosheng Feng · 2020 · International Journal of Bifurcation and Chaos
28. Dynamics of a helical swimmer crossing viscosity gradients
    Christian Esparza López, Jorge González-Gutiérrez, Francisco Javier Solorio-Ordaz, Eric Lauga, Roberto Zenit · 2021 · Physical Review Fluids
29. A probabilistic framework for particle-based reaction–diffusion dynamics using classical Fock space representations
    Mauricio J. del Razo, Daniela Frömberg, Arthur V. Straube, Christof Schütte, Felix Höfling, Stefanie Winkelmann · 2022 · Letters in Mathematical Physics
30. Global existence for semilinear reaction–diffusion systems on evolving domains
    Chandrasekhar Venkataraman, Omar Lakkis, Anotida Madzvamuse · 2011 · Journal of Mathematical Biology
31. Influence maximization with limit cost in social network
    Yue Wang, WeiJing Huang, Lang Zong, Tengjiao Wang, Dongqing Yang · 2013 · Science China Information Sciences
32. COUPLING AND FEEDBACK EFFECTS IN EXCITABLE SYSTEMS: ANTICIPATED SYNCHRONIZATION
    Marzena Ciszak, Raúl Toral, Cláudio R. Mirasso · 2004 · Modern Physics Letters B
33. Modeling the efficacy of the extent of surgical resection in the setting of radiation therapy for glioblastoma
    Leith Hathout, Benjamin M. Ellingson, Whitney B. Pope · 2016 · Cancer Science
34. Traveling waves of a nonlocal dispersal Kermack–McKendrick epidemic model with delayed transmission
    Hongmei Cheng, Rong Yuan · 2016 · Journal of Evolution Equations
35. Multi-band decomposition analysis: application to cardiac alternans as a function of temperature
    Alessio Gizzi, Alessandro Loppini, Elizabeth M. Cherry, Christian Cherubini, Flavio H. Fenton, Simonetta Filippi · 2017 · Physiological Measurement
36. Spatiotemporal attractors generated by the Turing-Hopf bifurcation in a time-delayed reaction-diffusion system
    Qi An, Weihua Jiang · 2018 · Discrete and Continuous Dynamical Systems - B
37. Particle-based simulations of polarity establishment reveal stochastic promotion of Turing pattern formation
    Michael Pablo, Samuel A. Ramirez, Timothy C. Elston · 2018 · PLoS Computational Biology
38. Stochastic Optimal Control of an SIR Epidemic Model with Vaccination
    Masaaki Ishikawa · 2012 · Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
39. Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics
    Nabil T. Fadai, Stuart T. Johnston, Matthew J. Simpson · 2020 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
40. Coordinated Spatial Pattern Formation in Biomolecular Communication Networks
    Yutaka Hori, Hiroki Miyazako, Soichiro Kumagai, Shinji Hara · 2015 · IEEE Transactions on Molecular Biological and Multi-Scale Communications
41. Mirror symmetry breaking with limited enantioselective autocatalysis and temperature gradients: a stability survey
    Blanco, Celia, Ribó, Josep M., Crusats, Joaquim, El-Hachemi, Zoubir, Moyano, Albert, Hochberg, David · 2013 · Phys. Chem. Chem. Phys.
42. MATHEMATICAL MODELS FOR CELL-MATRIX INTERACTIONS DURING DERMAL WOUND HEALING
    Philip K. Maini, L. OLSEN, Jonathan A. Sherratt · 2002 · International Journal of Bifurcation and Chaos
43. Disease Induced Oscillations between Two Competing Species
    Pauline Van den Driessche, Mary Lou Zeeman · 2004 · SIAM Journal on Applied Dynamical Systems
44. Modeling complex systems
    Anastasios Xepapadeas · 2010 · Agricultural Economics
45. Formation and emergent dynamics of spatially organized microbial systems
    Kelsey Cremin, Sarah J. N. Duxbury, Jerko Rosko, Orkun S. Soyer · 2023 · Interface Focus
46. Far-from-Equilibrium Traveling Pulses in Sloped Semiarid Environments Driven by Autotoxicity Effects
    Gabriele Grifó, Annalisa Iuorio, Frits Veerman · 2025 · SIAM Journal on Applied Mathematics
47. Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions
    Kolade Matthew Owolabi, Abdon Atangana · 2017 · Advances in Difference Equations
48. A new high‐order weighted essentially non‐oscillatory scheme for non‐linear degenerate parabolic equations
    Rooholah Abedian · 2020 · Numerical Methods for Partial Differential Equations
49. Turbulent patterns in wall-bounded flows: A Turing instability?
    Paul Manneville · 2012 · Europhysics Letters (EPL)
50. Application of thermography for the assessment of allergen‐induced skin reactions
    E. Rokita, Tomasz Rok, Grzegorz Tatoń · 2011 · Medical Physics
51. Catastrophic phase transitions and early warnings in a spatial ecological model
    Ariel Fernández, Hugo Fort · 2009 · Journal of Statistical Mechanics Theory and Experiment
52. Anomalous transport and nonlinear reactions in spiny dendrites
    Sergei P. Fedotov, Hamed Al Shamsi, Alexey O. Ivanov, Andrey Yu. Zubarev · 2010 · Physical Review E
53. Modeling chemotaxis of adhesive cells: stochastic lattice approach and continuum description
    Nicholas P. Charteris, Evgeniy Khain · 2014 · New Journal of Physics
54. Modeling of Dermal Wound Healing-Remodeling Phase by Neural Networks
    Aydin Azizi, Navid Seifipour · 2009 · International Association of Computer Science and Information Technology
55. Chaotic dynamics of a tri-topic food chain model with Beddington–DeAngelis functional response in presence of fear effect
    Surajit Debnath, Prahlad Majumdar, Susmita Sarkar, Uttam Ghosh · 2021 · Nonlinear Dynamics
56. Turing pattern selection in a reaction-diffusion epidemic model
    Weiming Wang, Houye Liu, Yongli Cai, Zhenqing Li · 2011 · Chinese Physics B
57. Classification of wave regimes in excitable systems with linear cross diffusion
    Mikhail A. Tsyganov, Vadim Nadyrovich Biktashev · 2014 · Physical Review E
58. Deterministic and stochastic analysis of a ratio-dependent prey-predator system
    Atasi Patra Maiti, G. P. Samanta · 2006 · International Journal of Systems Science
59. Watching the Daisies Grow: Turing and Fibonacci Phyllotaxis
    Jonathan Swinton · 2004 · Springer eBooks
60. An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems
    Thomas Gallouët, Maxime Laborde, Léonard Monsaingeon · 2018 · ESAIM Control Optimisation and Calculus of Variations
61. METHODOLOGY TO DETERMINE THE EVOLUTION OF ASYMPTOMATIC HIV POPULATION USING FUZZY SET THEORY
    Rosana Sueli da Motta Jafelice, Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Fernando A. C. Gomide · 2005 · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems
62. Enzyme transistor circuits for reaction-diffusion computing
    Masahiko Hiratsuka, Takafumi Aoki, T. Higuchi · 1999 · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications
63. Stochastic properties of tumor growth with coupling between non-Gaussian and Gaussian noise terms
    Li-Li Jiang, Xiaoqin Luo, Dan Wu, Shiqun Zhu · 2012 · Chinese Physics B
64. Estimation Algorithm for a Hybrid PDE–ODE Model Inspired by Immunocompetent Cancer-on-Chip Experiment
    Gabriella Bretti, Adele De Ninno, Roberto Natalini D, Daniële Peri, Nicole Roselli · 2021 · Axioms
65. Spatiotemporal order, disorder, and propagating defects in homogeneous system of relaxation oscillators
    Rajeev Singh, Sitabhra Sinha A · 2013 · Physical Review E
66. Optimal control synthesis in therapy of solid tumor growth
    Alexander S. Bratus, E. S. Chumerina · 2008 · Computational Mathematics and Mathematical Physics
67. On the principal eigenvalue of degenerate quasilinear elliptic systems
    Nikolaos B. Zographopoulos · 2008 · Mathematische Nachrichten
68. Fluctuations and stability in front propagation
    Evgeniy Khain, Yen Ting Lin, Leonard M. Sander · 2011 · Europhysics Letters (EPL)
69. Asymptotic methods for delay equations
    Andrew C. Fowler · 2005 · Journal of Engineering Mathematics
70. Automating the Mean-Field Method for Large Dynamic Gossip Networks
    Rena Bakhshi, Jörg Endrullis, Stefan Endrullis, Wan J. Fokkink, Boudewijn R. H. M. Haverkort · 2010 · International Conference on the Quantitative Evaluation of Systems (QEST)
71. Directional biases and resource‐dependence in dispersal generate spatial patterning in a consumer–producer model
    Kurt E. Anderson, Frank M. Hilker, Roger M. Nisbet · 2012 · Ecology Letters
72. On the equivalent classification of three-dimensional competitive Atkinson/Allen models relative to the boundary fixed points
    Jifa Jiang, Lei Niu · 2015 · Discrete and Continuous Dynamical Systems
73. Enhanced species coexistence in Lotka-Volterra competition models due to nonlocal interactions
    Gabriel Andreguetto Maciel, Ricardo Martínez‐García · 2021 · Journal of Theoretical Biology
74. How Animals Get Their Skin Patterns: Fish Pigment Pattern as a Live Turing Wave
    Shigeru Kondo · 2009 · Springer eBooks
75. Mechanical Properties of Bone
    R. Bruce Martin, David B. Burr, Neil A. Sharkey, David P. Fyhrie · 2015 · Springer eBooks
76. Oscillatory dynamics in a model of vascular tumour growth - implications for chemotherapy
    I. Johanna Stamper, Markus R. Owen, Philip K. Maini, Helen Mary Byrne · 2010 · Biology Direct
77. On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding
    Mostafa Bendahmane, Raimund Bürger, Ricardo Ruíz-Baier, José Miguel Urbano · 2008 · Mathematical Methods in the Applied Sciences
78. M-lattice: from morphogenesis to image processing
    Alexander Semyon Sherstinsky, Rosalind W. Picard · 1996 · IEEE Transactions on Image Processing
79. Turbulent patterns in wall-bounded flows: A Turing instability
    Paul Manneville · 2012
80. Relaxation Oscillations
    J. Grasman · 2015 · Springer eBooks
81. Differential equation models for infectious diseases: Mathematical modeling, qualitative analysis, numerical methods and applications
    Manh Tuan Hoang, Matthias Ehrhardt · 2025 · SeMA Journal
82. Asymptotic and transient dynamics of SEIR epidemic models on weighted networks
    Canrong Tian, ZUHAN LIU, Shigui Ruan · 2022 · European Journal of Applied Mathematics
83. Network representation and analysis of energy coupling mechanisms in cellular metabolism by a graph-theoretical approach
    Sunil Nath · 2022 · Theory in Biosciences
84. The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model
    Timothée Crin-Barat, Qingyou He, Ling-Yun Shou · 2023 · SIAM Journal on Mathematical Analysis
85. Conditional Lie–Bäcklund Symmetries and Invariant Subspaces to Nonlinear Diffusion Equations with Convection and Source
    Lina Ji, Changzheng Qu · 2013 · Studies in Applied Mathematics
86. Oscillatory traveling waves in excitable media
    Evgeny P. Zemskov, A. Yu. Loskutov · 2008 · Journal of Experimental and Theoretical Physics
87. The Contributions of Interlocking Loops and Extensive Nonlinearity to the Properties of Circadian Clock Models
    Treenut Saithong, Kevin J. Painter, Andrew John Millar · 2010 · PLoS ONE
88. Modelling of a two prey and one predator system with switching effect
    Sangeeta Saha, G. P. Samanta · 2021 · Computational and Mathematical Biophysics
89. Persistence, extinction and spatio-temporal synchronization of SIRS spatial models
    Quan-Xing Liu, Rong-Hua Wang, Zhen Jin · 2009 · Journal of Statistical Mechanics Theory and Experiment
90. Spatial pattern in a diffusive predator–prey model with sigmoid ratio-dependent functional response
    Lakshmi Narayan Guin, Prashanta Kumar Mandal · 2014 · International Journal of Biomathematics
91. Quasiperiodic forcing of coupled chaotic systems
    Manish Agrawal, Awadhesh Prasad, Ramakrishna Ramaswamy · 2010 · Physical Review E
92. Strongly Nonlinear Stochastic Processes in Physics and the Life Sciences
    T.D. Frank · 2013 · ISRN Mathematical Analysis
93. Stochastically forced dislocation density distribution in plastic deformation
    Amit Kumar Chattopadhyay, Elias C. Aifantis · 2016 · Physical review. E
94. Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System
    Kolade Matthew Owolabi, Abdon Atangana · 2017 · Advances in Applied Mathematics and Mechanics
95. Guiding Measurement Protocols of Connected Medical Devices Using Digital Twins: A Statistical Methodology Applied to Detecting and Monitoring Lymphedema
    Loïc Béthencourt, Walid Dabachine, Vincent Dejouy, Zakaria Lalmiche, Karl Neuberger, Issam Ibnouhsein, Sandrine Chéreau, Carole Mathelin, Nicolas Savy, Philippe Saint-Pierre et al. · 2021 · IEEE Access
96. Analysis and numerical simulation of cross reaction–diffusion systems with the Caputo–Fabrizio and Riesz operators
    Kolade Matthew Owolabi · 2021 · Numerical Methods for Partial Differential Equations
97. Quantum mechanics with spatial non-local effects and position-dependent mass
    Rami Ahmad El‐Nabulsi, Waranont Anukool · 2022 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
98. Dynamic Malware Mitigation Strategies for IoT Networks: A Mathematical Epidemiology Approach
    Roberto Casado Vara, Marcos Severt, Antonio Díaz-Longueira, A. Martı́n del Rey, JOSE LUIS CALVO ROLLE · 2024 · Mathematics
99. Analysis of a spatial predator-prey model with delay
    Biao Wang, Ailing Wang, Yongjiang Liu, Zhaohua Liu · 2010 · Nonlinear Dynamics
100. Feedback, receptor clustering, and receptor restriction to single cells yield large Turing spaces for ligand-receptor-based Turing models
     Tamás Kurics, Denis Menshykau, Dagmar Iber · 2014 · Physical Review E