A5048914192- Mathematical Biology Tumor Growth
- Diffusion and Search Dynamics
- Stochastic processes and financial applications
- Health and Medical Education
- Otolaryngology and Infectious Diseases
- Nail Diseases and Treatments
- Hippo pathway signaling and YAP/TAZ
- Angiogenesis and VEGF in Cancer
- Astro and Planetary Science
- Mathematical and Theoretical Epidemiology and Ecology Models
- Stochastic processes and statistical mechanics
- Markov Chains and Monte Carlo Methods
- Gene Regulatory Network Analysis
- stochastic dynamics and bifurcation
University of Oxford
2017-2018
University of British Columbia
2008
Critical Art and Media Practice
1922
The mean first passage time (MFPT) is calculated for a Brownian particle in bounded two-dimensional domain that contains N small nonoverlapping absorbing windows on its boundary. reciprocal of the MFPT this narrow escape problem has wide applications cellular biology, where it may be used as an effective first-order rate constant to describe, example, nuclear export messenger RNA molecules through pores. In asymptotic limit patches have measure, method matched expansions calculate arbitrary...
Angiogenesis is the process by which new blood vessels develop from existing vasculature. During angiogenesis, endothelial tip cells migrate via diffusion and chemotaxis, loops form tip-to-tip tip-to-sprout anastomosis, are produced branching, a vessel network forms as follow paths of cells. The latter known snail trail. We use mean-field approximation to systematically derive continuum model two-dimensional lattice-based cellular automaton angiogenesis in corneal assay, based on snail-trail...
Angiogenesis is the process by which new blood vessels form from existing vessels. During angiogenesis, tip cells migrate via diffusion and chemotaxis, are introduced through branching, loops tip-to-tip tip-to-sprout anastomosis, a vessel network forms as endothelial cells, known stalk follow paths of (a snail-trail). Using mean-field approximation, we systematically derive one-dimensional non-linear continuum models lattice-based cellular automaton model angiogenesis in corneal assay,...