- The Mullins–Sekerka theory: 60 years of morphological stability
2024/08/01 by Dmitri V. Alexandrov, Peter K. Galenko, P. K. Galenko · 2 citations
Earth and Planetary Sciences · Materials Science · Mathematics · #Boundary (topology) #Computer science #Crystallization #Crystallization and Solubility Studies #Directional solidification #Fractal #Front (military) #Geometry #Instability #Materials science #Mathematical analysis #Mathematics #Mechanics #Microstructure #Pattern formation #Phase (matter) #Physics #Planar #Solidification and crystal growth phenomena #Stability (learning theory) #Statistical physics #Stefan problem #Surface (topology) #Thermodynamics #nanoparticles nucleation surface interactions
- Turing patterns in a diffusive epidemic model with saturated infection force
2018/08/22 by Weiming Wang, Xiaoyan Gao, Yongli Cai +2 · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Social Sciences · #Biology #Computer science #Constant (computer programming) #Diffusion #Dynamics (music) #Epidemic model #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Pattern formation #Physics #Quantum mechanics #Replication (statistics) #Stability (learning theory) #Statistical physics #Statistics #Turing
- Mechanochemical coupling and developmental pattern formation
2017/10/01 by Sundar Ram Naganathan, Sundar R. Naganathan, Andrew C. Oates · 1 citation
Biochemistry, Genetics and Molecular Biology · #Anatomy #Biology #Biophysics #Caenorhabditis elegans #Cell biology #Cellular Mechanics and Interactions #Coupling (piping) #Embryo #Embryogenesis #Embryonic stem cell #Genetics #Genetics, Aging, and Longevity in Model Organisms #Materials science #Mesoderm #Pattern formation #Planarian Biology and Electrostimulation #Zygote
- Mathematical Study of the Role of Delta/Notch Lateral Inhibition during Primary Branching of Drosophila Trachea Development
2012/12/01 by Yoshiki Koizumi, Yoh Iwasa, Tsuyoshi Hirashima · 4 citations
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Neuroscience · #Biology #Biophysics #Cell biology #Developmental Biology and Gene Regulation #Gene #Genetics #Inhibitory postsynaptic potential #Intracellular #Lateral inhibition #Marine and coastal plant biology #Neuroscience #Notch signaling pathway #Pattern formation #Plant Molecular Biology Research #Robustness (evolution) #Signal transduction
- Dissipative Structures, Catastrophes, and Pattern Formation: A Bifurcation Analysis
1974/07/01 by G. Nìcolis, J. F. G. Auchmuty · 1 citation
Engineering · Computer Science · Physics and Astronomy · Mathematics · #Slime Mold and Myxomycetes Research #Nonlinear Dynamics and Pattern Formation #Origins and Evolution of Life #Dissipative system #Bifurcation #Bifurcation theory #Reaction–diffusion system #Statistical physics #Diffusion #Stability (learning theory) #Pattern formation #Classical mechanics #Physics #Mathematics #Thermodynamics #Computer science #Nonlinear system #Biology