Mathematical Biology: II: Spatial Models and Biomedical Applications

J. D. Murray·2003·Interdisciplinary Applied Mathematics

Cited by (1,000)

Items 801–900 of 1,000

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    Ashish Bino George, Kirill S. Korolev · 2018 · PLoS Computational Biology
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  3. Pattern selection in reaction diffusion systems
    Srikanth Subramanian, Séan Murray · 2021 · Physical review. E
  4. Spikes and diffusion waves in a one-dimensional model of chemotaxis
    Grzegorz Karch, Kanako Suzuki · 2010 · Nonlinearity
  5. Diffusion-reaction model forDrosophilaembryo development
    Rachèle Allena, José J. Muñoz, Denis Aubry · 2011 · Computer Methods in Biomechanics & Biomedical Engineering
  6. Predicting synchrony in heterogeneous pulse coupled oscillators
    Sachin S. Talathi, Dong‐Uk Hwang, Abraham Miliotis, Paul Richard Carney, William L. Ditto · 2009 · Physical Review E
  7. Variational principles and the shift in the front speed due to a cutoff
    Vicenç Méndez, Daniel Campos, Evgeny P. Zemskov · 2005 · Physical Review E
  8. Rule Mining Algorithm with a New Ant Colony Optimization Algorithm
    K. Thangavel, P. Jaganathan · 2007 · International Conference on Computational Intelligence and Multimedia Applications (ICCIMA)
  9. Spatial Patterns of a Predator-Prey System of Leslie Type with Time Delay
    Caiyun Wang, Lili Chang, Huifeng Liu · 2016 · PLoS ONE
  10. Mass-Preserving Approximation of a Chemotaxis Multi-Domain Transmission Model for Microfluidic Chips
    Elishan Christian Braun, Gabriella Bretti, Roberto Natalini D · 2021 · Mathematics
  11. A Unifying Mathematical Framework for Genetic Robustness, Environmental Robustness, Network Robustness and their Tradeoff on Phenotype Robustness in Biological Networks Part II: Ecological Networks
    Bor‐Sen Chen, Ying‐Po Lin · 2013 · Evolutionary Bioinformatics
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    A. E. Sidorova, Natalia Timurovna Levashova, A. A. Melnikova, Н. Н. Дерюгина, Anna Semina · 2016 · Moscow University Physics Bulletin
  13. Interfacial growth during closure of a cutaneous wound: stress generation and wrinkle formation
    Digendranath Swain, Anurag Gupta · 2015 · Soft Matter
  14. Maintenance of heterocyst patterning in a filamentous cyanobacterium
    Mei Zhu, Sean M. Callahan, John S. Allen · 2010 · Journal of Biological Dynamics
  15. Deciphering Dynamics of Epidemic Spread: The Case of Influenza Virus
    Ranjit Kumar Upadhyay, Parimita Roy, Vikas Rai · 2014 · International Journal of Bifurcation and Chaos
  16. Bistable waves for a class of cooperative reaction–diffusion systems
    Yu Qiang Jin, Xiao‐Qiang Zhao · 2008 · Journal of Biological Dynamics
  17. Propagation and Blocking in Periodically Hostile Environments
    Jong-Shenq Guo, François Hamel A · 2012 · Archive for Rational Mechanics and Analysis
  18. A COMPARATIVE STUDY OF THE HODGKIN–HUXLEY AND FITZHUGH–NAGUMO MODELS OF NEURON PULSE PROPAGATION
    Paul E. Phillipson, Peter M. Schuster · 2005 · International Journal of Bifurcation and Chaos
  19. Complex dynamics of a discrete predator–prey model with the prey subject to the Allee effect
    Daiyong Wu, Hongyong Zhao · 2017 · The Journal of Difference Equations and Applications
  20. Growth-mediated autochemotactic pattern formation in self-propelling bacteria
    Mrinmoy Mukherjee, Pushpita Ghosh · 2018 · Physical review. E
  21. From Random Walks to Fully Anisotropic Diffusion Models for Cell and Animal Movement
    Kevin J. Painter, Thomas Hillen · 2018 · Modeling and simulation in science, engineering & technology
  22. Pathwise solutions and attractors for retarded SPDEs with time smooth diffusion coefficients
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  23. Numerical solution of highly non-linear fractional order reaction advection diffusion equation using the cubic B-spline collocation method
    Kushal Dhar Dwivedi, Subir Das, Rajeev Rajeev, Dumitru Bǎleanu · 2021 · International Journal of Nonlinear Sciences and Numerical Simulation
  24. Population dynamics and non-Hermitian localization
    Karin A. Dahmen, David R. Nelson, Nadav M. Shnerb · 2008 · Springer eBooks
  25. A Numerical Comparison Between Degenerate Parabolic and Quasilinear Hyperbolic Models of Cell Movements Under Chemotaxis
    Roberto Natalini D, Magali Ribot, Monika Twarogowska · 2014 · Journal of Scientific Computing
  26. Wave-Processing of Long-Scale Information by Neuronal Chains
    José Antonio Villacorta-Atienza, Valeri A. Makarov · 2013 · PLoS ONE
  27. The Stage-structured Predator-Prey System with Delay and Harvesting
    Xinyu Song, Jinǵan Cui · 2002 · Applicable Analysis
  28. A weak solution approach to a reaction–diffusion system modeling pattern formation on seashells
    Jan Kelkel, Christina Surulescu · 2009 · Mathematical Methods in the Applied Sciences
  29. Mathematical modeling of liver metastases tumour growth and control with radiotherapy
    Adrienne E. Campbell‐Washburn, Thiru Sivakumaran, Melanie T. M. Davidson, Michael I. Lock, Eugene Wong · 2008 · Physics in Medicine and Biology
  30. Mechanical Instabilities as a Central Issue for InSilico Analysis of Cell Dynamics
    Philippe Tracqui · 2006 · Proceedings of the IEEE
  31. Heterogeneous network epidemics: real-time growth, variance and extinction of infection
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  32. A free boundary mechanobiological model of epithelial tissues
    Tamara A. Tambyah, Ryan J. Murphy, Pascal R. Buenzli, Matthew J. Simpson · 2020 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  33. Front propagation in channels with spatially modulated cross section
    S. Martens, Jakob Löber, Harald Engel · 2015 · Physical Review E
  34. Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole temperature
    Rami Ahmad El‐Nabulsi, Waranont Anukool · 2022 · Chinese Physics B
  35. Existence of solutions for a nonlinear system of parabolic equations with gradient flow structure
    Jonathan Zinsl · 2013 · Monatshefte für Mathematik
  36. Understanding the Behavior of Systems Pharmacology Models Using Mathematical Analysis of Differential Equations: Prolactin Modeling as a Case Study
    Suruchi Bakshi, Elizabeth C. M. de Lange, PH van der Graaf, Meindert Danhof, Lambertus A. Peletier · 2016 · CPT Pharmacometrics & Systems Pharmacology
  37. Encounter-controlled coalescence and annihilation on a one-dimensional growing domain
    Felipe Le Vot, Carlos Escudero, E. Abad, S. B. Yuste · 2018 · Physical review. E
  38. Effect of a Membrane on Diffusion-Driven Turing Instability
    Giorgia Ciavolella · 2022 · Acta Applicandae Mathematicae
  39. Adaptive POD-DEIM correction for Turing pattern approximation in reaction–diffusion PDE systems
    Alessandro Alla, Angela Monti, Ivonne Sgura · 2023 · Journal of Numerical Mathematics
  40. Tracheal Ring Formation
    Dagmar Iber, Malte Mederacke · 2022 · Frontiers in Cell and Developmental Biology
  41. Turing Pattern Formation in Reaction-Cross-Diffusion Systems with a Bilayer Geometry
    Antoine Diez, Andrew L. Krause, Philip K. Maini, Eamonn A. Gaffney, Sungrim Seirin‐Lee · 2024 · Bulletin of Mathematical Biology
  42. Multiscale mechanobiology modeling for surgery assessment
    Marc Garbey, Barbara Lee Bass, Scott A. Berceli · 2012 · Acta Mechanica Sinica
  43. Turing instability in reaction-diffusion systems with a single diffuser: Characterization based on root locus
    Hiroki Miyazako, Yutaka Hori, Shinji Hara · 2013 · IEEE Conference on Decision and Control (CDC)
  44. Pattern Formation in a Cross‐Diffusive Ratio‐Dependent Predator‐Prey Model
    Xinze Lian, Yanhong Yue, Hailing Wang · 2012 · Discrete Dynamics in Nature and Society
  45. Wavy fronts in reaction-diffusion systems with cross advection
    Evgeny P. Zemskov, Klaus Kassner, Mikhail A. Tsyganov, Marcus J. B. Hauser · 2009 · The European Physical Journal B
  46. The Chemical Basis of Morphogenesis
    S. Barry Cooper, Jan Van Leeuwen · 2013 · Elsevier eBooks
  47. Diffusion-Driven Instability on a Curved Surface: Spherical Case Revisited
    M. Núñez‐López, Guillermo Chacón‐Acosta, José Antonio Santiago · 2017 · Brazilian Journal of Physics
  48. A wave equation perturbed by viscous terms: fast and slow times diffusion effects in a Neumann problem
    Monica De Angelis · 2018 · Ricerche di Matematica
  49. Spreading Speed in an Integrodifference Predator–Prey System without Comparison Principle
    Guo Lin, Yibin Niu, Shuxia Pan, Shigui Ruan · 2020 · Bulletin of Mathematical Biology
  50. Spatial propagation in a within‐host viral infection model
    Xinjian Wang, Guo Lin, Shigui Ruan · 2022 · Studies in Applied Mathematics
  51. On a dynamic reaction–diffusion mechanism: the spatial patterning of teeth primordia in the alligator
    J. D. Murray, Paul M. Kulesa · 1996 · Journal of the Chemical Society Faraday Transactions
  52. Scaling behavior of threshold epidemics
    Eli Ben-Naim, P. L. Krapivsky · 2012 · The European Physical Journal B
  53. Can inducible resistance in plants cause herbivore aggregations? Spatial patterns in an inducible plant/herbivore model
    Kurt E. Anderson, Brian D. Inouye, Nora C. Underwood · 2015 · Ecology
  54. Evolutionary Distributions and Competition by Way of Reaction-Diffusion and by Way of Convolution
    Yosef A. Cohen, Gonzalo Galiano · 2013 · Bulletin of Mathematical Biology
  55. Oscillations in intracellular signaling cascades
    Keng‐Hwee Chiam, Gunaretnam Rajagopal · 2007 · Physical Review E
  56. Multiple oscillations in changing cell shape by the plasmodium of Physarum polycephalum: general formula governing oscillatory phenomena by the Physarum plasmodium
    Yasutaka Kakiuchi, Tetsuo Ueda · 2006 · Biological Rhythm Research
  57. Extinction of refugia of hantavirus infection in a spatially heterogeneous environment
    Niraj Kumar, Robert Parmenter, V. M. Kenkre · 2010 · Physical Review E
  58. Nonstandard methods for the convective-dispersive transport equation with nonlinear reactions
    Hristo V. Kojouharov, Benito M. Chen‐Charpentier · 1999 · Numerical Methods for Partial Differential Equations
  59. Asymptotic behavior of Kolmogorov systems with predator-prey type in random environment
    Nguyen Huu Du, Dang H. Nguyen · 2014 · Communications on Pure &amp Applied Analysis
  60. An SEI model for sarcoptic mange among chamois
    Antonella Lunelli · 2009 · Journal of Biological Dynamics
  61. DIMENSIONALITY EFFECTS IN TURING PATTERN FORMATION
    TEEMU LEPPÄNEN, Mikko Karttunen, Kimmo K. Kaski, Rafael A. Barrio · 2003 · International Journal of Modern Physics B
  62. Integrative science: a modeling challenge
    Jean-Louis Coatrieux · 2004 · IEEE Engineering in Medicine and Biology Magazine
  63. Review of economic and mathematical modeling tools for the innovation diffusion process
    Vladimir A. Shiboldenkov · 2022 · AIP conference proceedings
  64. Switching effect on a two prey–one predator system with strong Allee effect incorporating prey refuge
    Sangeeta Saha, G. P. Samanta · 2023 · International Journal of Biomathematics
  65. Improvement of nonlocal Pennes heat transfer equation in fractal dimensions in the analysis of tumor growth
    Rami Ahmad El‐Nabulsi, Waranont Anukool · 2023 · Acta Mechanica
  66. Propagation properties in a multi-species SIR reaction-diffusion system
    Romain Ducasse, Samuel Nordmann · 2023 · Journal of Mathematical Biology
  67. Spatiotemporal patterns induced by Turing-Hopf interaction and symmetry on a disk
    Yaqi Chen, Xianyi Zeng, Ben Niu · 2024 · Physical review. E
  68. FateNet: an integration of dynamical systems and deep learning for cell fate prediction
    Mehrshad Sadria, Thomas M. Bury · 2024 · Bioinformatics
  69. Heterogeneous biomechanical/mathematical modeling of spatial prediction of glioblastoma progression using magnetic resonance imaging-based finite element method
    Mohammadreza Ghahramani, Omid Bavi · 2024 · Computer Methods and Programs in Biomedicine
  70. Predicted formation of localized superlattices in spatially distributed reaction-diffusion solutions
    Mustapha Tlidi, Giorgio Sonnino, M. Bachir · 2012 · Physical Review E
  71. Does Symmetry of the Operator of a Dynamical System Help Stability?
    Paolo Falsaperla, Andrea Giacobbe, Giuseppe Mulone · 2012 · Acta Applicandae Mathematicae
  72. ZERO-DIFFUSION DOMAINS IN REACTION–DIFFUSION MORPHOGENETIC AND EPIDEMIOLOGIC PROCESSES
    Jacques Demongeot A, Jean Gaudart, Athanasios Lontos, J. Mintsa, Emmanuel Promayon, Mustapha Rachdi · 2012 · International Journal of Bifurcation and Chaos
  73. Implementation and Evaluation of a Computational Model of Attention for Computer Vision
    Matthieu Perreira Da Silva, Vincent Courboulay · 2012 · IGI Global eBooks
  74. Non-normal amplification of stochastic quasicycles
    Sara Nicoletti, Niccolò Zagli, Duccio Fanelli, Roberto Livi, Timotéo Carletti, Giacomo Innocenti · 2018 · Physical review. E
  75. Stationary localized structures and the effect of the delayed feedback in the Brusselator model
    B. Kostet, Mustapha Tlidi, F. Tabbert, Tobias Frohoff-Hülsmann, Svetlana V. Gurevich, Etienne Averlant, René G. Rojas, Giorgio Sonnino, Krassimir P. Panajotov · 2018 · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  76. Analysis and application of the interpolating element-free Galerkin method for extended Fisher–Kolmogorov equation which arises in brain tumor dynamics modeling
    Mohammad Ilati · 2019 · Numerical Algorithms
  77. Dynamics of A+B→C reaction fronts under radial advection in a Poiseuille flow
    Alessandro Comolli, A. De Wit, Fabian Brau · 2021 · Physical review. E
  78. Growth instabilities shape morphology and genetic diversity of microbial colonies
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  79. Group Dynamics of Phototaxis: Interacting Stochastic Many-Particle Systems and Their Continuum Limit
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  80. Mathematical model of optimal chemotherapy strategy with allowance for cell population dynamics in a heterogeneous tumor
    A. V. Antipov, Alexander S. Bratus · 2009 · Computational Mathematics and Mathematical Physics
  81. Stability of Traveling Waves in Partly Parabolic Systems
    Anna Ghazaryan, Yuri Latushkin, Stephen Schecter · 2013 · Mathematical Modelling of Natural Phenomena
  82. Interfacial properties in a discrete model for tumor growth
    Belén Moglia, Nara Guisoni, Ezequiel Vicente Albano · 2013 · Physical Review E
  83. Body-scaled perception is subjected to adaptation when repetitively judging opportunities for grasping
    Seokhun Kim, T.D. Frank · 2016 · Experimental Brain Research
  84. Linear and Weakly Nonlinear Stability Analyses of Turing Patterns for Diffusive Predator–Prey Systems in Freshwater Marsh Landscapes
    Li Zhang, Fan Zhang, Shigui Ruan · 2017 · Bulletin of Mathematical Biology
  85. Modeling and simulations of bio-nanomachines for spatiotemporal pattern formation
    Tadashi Nakano, Tatsuya Suda · 2018 · ACM International Conference on Nanoscale Computing and Communication (NANOCOM)
  86. Complex Dynamics of a Predator–Prey Interaction with Fear Effect in Deterministic and Fluctuating Environments
    Nirapada Santra, Sudeshna Mondal, G. P. Samanta · 2022 · Mathematics
  87. Age or Stage Structure?
    Arild Wikan · 2012 · Bulletin of Mathematical Biology
  88. A convection-diffusion-shape model for aberrant colonic crypt morphogenesis
    Isabel N. Figueiredo, Carlos Leal, Giuseppe Romanazzi, Björn Engquist, Pedro Figueiredo · 2011 · Computing and Visualization in Science
  89. A priori estimates for excitable models
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  90. Topological Patterns in Metazoan Evolution and Development
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  91. INTERPLAY BETWEEN HIV/AIDS EPIDEMICS AND DEMOGRAPHIC STRUCTURES BASED ON SEXUAL CONTACT NETWORKS
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  93. Bifurcations for a deterministic SIR epidemic model in discrete time
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  94. Disease Spread and Its Effect on Population Dynamics in Heterogeneous Environment
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  95. Development of the new approach to the diffusion-limited reaction rate theory
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  96. An applied mathematician's perspective on Rosennean Complexity
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  97. Asymptotic behaviors of a two prey one predator model with cooperation among the prey species in a stochastic environment
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  98. ANALYSIS OF STABILITY AND PERSISTENCE IN A RATIO-DEPENDENT PREDATOR-PREY RESOURCE MODEL
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  99. Nonstandard methods for the convective transport equation with nonlinear reactions
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  100. Integro-differential models for percutaneous drug absorption
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