RB
Publications
- The effect of sampling rate on observed statistics in a correlated random walk DOI: 10.1098/rsif.2013.0273
- Simplified method for including spatial correlations in mean-field approximations DOI: 10.1103/PhysRevE.87.062702
- Quantifying the roles of cell motility and cell proliferation in a circular barrier assay DOI: 10.1098/rsif.2013.0007
- Optimal barrier zones for stopping the invasion of Aedes aegypti mosquitoes via transgenic or sterile insect techniques DOI: 10.1007/s12080-013-0178-4
- Noise-induced temporal dynamics in Turing systems DOI: 10.1103/PhysRevE.87.042719
- Modelling oscillator synchronisation during vertebrate axis segmentation DOI: 10.1007/978-3-642-20164-6_9
- Modelling Delta-Notch perturbations during zebrafish somitogenesis DOI: 10.1016/j.ydbio.2012.10.014
- Modelling Aedes aegypti mosquito control via transgenic and sterile insect techniques: Endemics and emerging outbreaks DOI: 10.1016/j.jtbi.2013.04.014
- Critical timescales and time intervals for coupled linear processes DOI: 10.1017/S1446181113000059
- Cellular blebs: pressure-driven, axisymmetric, membrane protrusions DOI: 10.1007/s10237-013-0509-9
- Access to enhanced differences in Marcus-Hush and Butler-Volmer electron transfer theories by systematic analysis of higher order AC harmonics DOI: 10.1039/c2cp43193a
- Understanding hair follicle cycling: A systems approach DOI: 10.1016/j.gde.2012.11.007
- Turing's model for biological pattern formation and the robustness problem DOI: 10.1098/rsfs.2011.0113
- Theoretical analysis of the two-electron transfer reaction and experimental studies with surface-confined cytochrome c peroxidase using large-amplitude fourier transformed AC Voltammetry DOI: 10.1021/la205037e
- The Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation DOI: 10.1007/s11538-011-9699-4
- Reply to Correspondence: No Oscillations in Real Activator-Inhibitor Systems in Accomplishing Pattern Formation DOI: 10.1007/s11538-012-9768-3
- Nonlinear effects on turing patterns: Time oscillations and chaos DOI: 10.1103/PhysRevE.86.026201
- Multiscale mechanisms of cell migration during development: Theory and experiment DOI: 10.1242/dev.081471
- Multi-cellular rosettes in the mouse visceral endoderm facilitate the ordered migration of anterior visceral endoderm cells DOI: 10.1371/journal.pbio.1001256
- Moments of action provide insight into critical times for advection-diffusion-reaction processes DOI: 10.1103/PhysRevE.86.031136
- Models of collective cell motion for cell populations with different aspect ratio: Diffusion, proliferation and travelling waves DOI: 10.1016/j.physa.2012.01.009
- Modelling Hair Follicle Growth Dynamics as an Excitable Medium DOI: 10.1371/journal.pcbi.1002804
- Modelling Cell Migration and Adhesion During Development DOI: 10.1007/s11538-012-9779-0
- Mean-field descriptions of collective migration with strong adhesion DOI: 10.1103/PhysRevE.85.051922
- Macroscopic limits of individual-based models for motile cell populations with volume exclusion DOI: 10.1103/PhysRevE.86.031903
- Incorporating chemical signalling factors into cell-based models of growing epithelial tissues DOI: 10.1007/s00285-011-0464-y
- Going from microscopic to macroscopic on nonuniform growing domains DOI: 10.1103/PhysRevE.86.021921
- Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems DOI: 10.1103/PhysRevE.85.051914
- Critical time scales for advection-diffusion-reaction processes DOI: 10.1103/PhysRevE.85.041135
- Age-related changes in speed and mechanism of adult skeletal muscle stem cell migration DOI: 10.1002/stem.1088
- Theoretical and experimental investigation of surface-confined two-center metalloproteins by large-amplitude Fourier transformed ac voltammetry DOI: 10.1016/j.jelechem.2010.08.012
- The Dynamics of Turing Patterns for Morphogen-Regulated Growing Domains with Cellular Response Delays DOI: 10.1007/s11538-011-9634-8
- The clock and wavefront model revisited DOI: 10.1016/j.jtbi.2011.05.004
- Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation DOI: 10.1103/PhysRevE.84.046216
- Self-organizing and stochastic behaviors during the regeneration of hair stem cells DOI: 10.1126/science.1201647
- Power spectra methods for a stochastic description of diffusion on deterministically growing domains DOI: 10.1103/PhysRevE.84.021915
- Models of collective cell spreading with variable cell aspect ratio: A motivation for degenerate diffusion models DOI: 10.1103/PhysRevE.83.021901
- Interactions between Shh, Sostdc1 and Wnt signaling and a new feedback loop for spatial patterning of the teeth DOI: 10.1242/dev.056051
- Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise DOI: 10.1103/PhysRevE.84.041905
- Distinguishing graded and ultrasensitive signalling cascade kinetics by the shape of morphogen gradients in Drosophila DOI: 10.1016/j.jtbi.2011.06.012
- Corrected mean-field models for spatially dependent advection-diffusion- reaction phenomena DOI: 10.1103/PhysRevE.83.051922
- From microscopic to macroscopic descriptions of cell migration on growing domains DOI: 10.1007/s11538-009-9467-x
- Correcting mean-field approximations for birth-death-movement processes DOI: 10.1103/PhysRevE.82.041905
- Analysis of stationary droplets in a generic Turing reaction-diffusion system DOI: 10.1103/PhysRevE.82.051929
- A random cell motility gradient downstream of FGF controls elongation of an amniote embryo DOI: 10.1038/nature09151
- Waves and patterning in developmental biology: Vertebrate segmentation and feather bud formation as case studies DOI: 10.1387/ijdb.072493rb
- Spots and stripes: Pleomorphic patterning of stem cells via p-ERK-dependent cell chemotaxis shown by feather morphogenesis and mathematical simulation DOI: 10.1016/j.ydbio.2009.07.036
- Reptile scale paradigm: Evo-Devo, pattern formation and regeneration DOI: 10.1387/ijdb.072556cc
- Preface DOI: 10.1051/mmnp/20094400
- Modeling the skin pattern of fishes DOI: 10.1103/PhysRevE.79.031908
- How can mathematics help us explore vertebrate segmentation? DOI: 10.2976/1.3072371
- Designer based Fourier transformed voltammetry: A multi-frequency, variable amplitude, sinusoidal waveform DOI: 10.1016/j.jelechem.2009.07.007
- Partial differential equations for self-organization in cellular and developmental biology DOI: 10.1088/0951-7715/21/11/R05
- Mathematical Models for Somite Formation DOI: 10.1016/S0070-2153(07)81006-4
- Cyclic dermal BMP signalling regulates stem cell activation during hair regeneration DOI: 10.1038/nature06457
- Travelling gradients in interacting morphogen systems DOI: 10.1016/j.mbs.2007.01.006
- From segment to somite: Segmentation to epithelialization analyzed within quantitative frameworks DOI: 10.1002/dvdy.21199
- Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold DOI: 10.1007/s00285-006-0067-1
- A study of the temperature dependence of bienzyme systems and enzymatic chains DOI: 10.1080/17486700701371488
- A mechanism for morphogen-controlled domain growth DOI: 10.1007/s00285-006-0060-8
- The turing model comes of molecular age DOI: 10.1126/science.1136396
- Distinct mechanisms underlie pattern formation in the skin and skin appendages DOI: 10.1002/bdrc.20075
- A mathematical investigation of a Clock and Wavefront model for somitogenesis DOI: 10.1007/s00285-005-0362-2
- A clock and wavefront mechanism for somite formation DOI: 10.1016/j.ydbio.2006.01.018
- A mathematical formulation for the cell-cycle model in somitogenesis: Analysis, parameter constraints and numerical solutions
- Formation of vertebral precursors: Past models and future predictions DOI: 10.1080/10273660310001628365