Staff profile

Journal Article

• Turing Instabilities are Not Enough to Ensure Pattern Formation
  
  Krause, A. L., Gaffney, E. A., Jewell, T. J., Klika, V., & Walker, B. J. (2024). Turing Instabilities are Not Enough to Ensure Pattern Formation. Bulletin of Mathematical Biology, 86(2), Article 21. https://doi.org/10.1007/s11538-023-01250-4
• Turing Pattern Formation in Reaction-Cross-Diffusion Systems with a Bilayer Geometry
  
  Diez, A., Krause, A. L., Maini, P. K., Gaffney, E. A., & Seirin-Lee, S. (2024). Turing Pattern Formation in Reaction-Cross-Diffusion Systems with a Bilayer Geometry. Bulletin of Mathematical Biology, 86(2), Article 13. https://doi.org/10.1007/s11538-023-01237-1
• Patterning of nonlocal transport models in biology: The impact of spatial dimension
  
  Jewell, T. J., Krause, A. L., Maini, P. K., & Gaffney, E. A. (2023). Patterning of nonlocal transport models in biology: The impact of spatial dimension. Mathematical Biosciences, 366, Article 109093. https://doi.org/10.1016/j.mbs.2023.109093
• VisualPDE: Rapid Interactive Simulations of Partial Differential Equations
  
  Walker, B. J., Townsend, A. K., Chudasama, A. K., & Krause, A. L. (2023). VisualPDE: Rapid Interactive Simulations of Partial Differential Equations. Bulletin of Mathematical Biology, 85(11), Article 113. https://doi.org/10.1007/s11538-023-01218-4
• The developmental basis of fingerprint pattern formation and variation
  
  Glover, J. D., Sudderick, Z. R., Shih, B. B.-J., Batho-Samblas, C., Charlton, L., Krause, A. L., Anderson, C., Riddell, J., Balic, A., Li, J., Klika, V., Woolley, T. E., Gaffney, E. A., Corsinotti, A., Anderson, R. A., Johnston, L. J., Brown, S. J., Wang, S., Chen, Y., … Headon, D. J. (2023). The developmental basis of fingerprint pattern formation and variation. Cell, 186(5), 940-956. https://doi.org/10.1016/j.cell.2023.01.015
• Spatial heterogeneity localizes turing patterns in reaction-cross-diffusion systems
  
  Gaffney, E. A., Krause, A. L., Maini, P. K., & Wang, C. (2023). Spatial heterogeneity localizes turing patterns in reaction-cross-diffusion systems. Discrete and Continuous Dynamical Systems - B, 28(12), 6092-6125. https://doi.org/10.3934/dcdsb.2023053
• Bat teeth illuminate the diversification of mammalian tooth classes
  
  Sadier, A., Anthwal, N., Krause, A. L., Dessalles, R., Lake, M., Bentolila, L. A., Haase, R., Nieves, N. A., Santana, S. E., & Sears, K. E. (2023). Bat teeth illuminate the diversification of mammalian tooth classes. Nature Communications, 14(1), Article 4687. https://doi.org/10.1038/s41467-023-40158-4
• Concentration-Dependent Domain Evolution in Reaction–Diffusion Systems
  
  Krause, A. L., Gaffney, E. A., & Walker, B. J. (2023). Concentration-Dependent Domain Evolution in Reaction–Diffusion Systems. Bulletin of Mathematical Biology, 85(14). https://doi.org/10.1007/s11538-022-01115-2
• Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems
  
  Sargood, A., Gaffney, E. A., & Krause, A. L. (2022). Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems. Bulletin of Mathematical Biology, 84(9), Article 98. https://doi.org/10.1007/s11538-022-01052-0
• Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation
  
  Ritchie, J. S., Krause, A. L., & Van Gorder, R. A. (2022). Turing and wave instabilities in hyperbolic reaction–diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation. Annals of Physics, 444, Article 169033. https://doi.org/10.1016/j.aop.2022.169033
• Modern perspectives on near-equilibrium analysis of Turing systems
  
  Krause, A. L., Gaffney, E. A., Maini, P. K., & Klika, V. (2021). Modern perspectives on near-equilibrium analysis of Turing systems. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2213), Article 20200268. https://doi.org/10.1098/rsta.2020.0268
• Bespoke Turing Systems
  
  Woolley, T. E., Krause, A. L., & Gaffney, E. A. (2021). Bespoke Turing Systems. Bulletin of Mathematical Biology, 83(5). https://doi.org/10.1007/s11538-021-00870-y
• Isolating Patterns in Open Reaction–Diffusion Systems
  
  Krause, A. L., Klika, V., Maini, P. K., Headon, D., & Gaffney, E. A. (2021). Isolating Patterns in Open Reaction–Diffusion Systems. Bulletin of Mathematical Biology, 83(7). https://doi.org/10.1007/s11538-021-00913-4
• Locating the Baking Isotherm in a Søderberg Electrode: Analysis of a Moving Thermistor Model
  
  Van Gorder, R. A., Kamilova, A., Birkeland, R. G., & Krause, A. L. (2021). Locating the Baking Isotherm in a Søderberg Electrode: Analysis of a Moving Thermistor Model. SIAM Journal on Applied Mathematics, 81(4). https://doi.org/10.1137/20m1314276
• Introduction to ‘Recent progress and open frontiers in Turing’s theory of morphogenesis’
  
  Krause, A. L., Gaffney, E. A., Maini, P. K., & Klika, V. (2021). Introduction to ‘Recent progress and open frontiers in Turing’s theory of morphogenesis’. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2213). https://doi.org/10.1098/rsta.2020.0280