ProfessorPaul Bressloff
Chair in Applied Mathematics and Stochastic Processes
Department of Mathematics - Faculty of Natural Sciences
- Chair in Applied Mathematics and Stochastic ProcessesDepartment of Mathematics - Faculty of Natural Sciences
- 020 7594 7626 (Work)
- 6M44, Huxley Building, South Kensington Campus, United Kingdom
RESEARCH
A. Stochastic and nonequilibrium processes
1. Boundary conditions for stochastic differential equations (SDEs): Encounter-based models of absorption; semi-permeable interfaces and snapping out BM; sticky boundaries; stochastically gated boundaries.
2. Diffusion in singularly perturbed domains: narrow capture problems; accumulation-times; encounter-based models; semi-permeable interfaces; applications to synaptic receptor trafficking and bacterial quorum sensing
3. Stochastic resetting: nonequilibrium stationary states; first-passage time problems; stochastic thermodynamics; randomly switching potentials; accumulation times; encounter-based models and semipermeable membranes; applications to cellular transport processes
4. Stochastic interacting particle systems: mean field theory; generalized McKean-Vlasov equations; effects of stochastic resetting, absorbing boundaries and switching potentials; applications to colloids, coupled phase oscillators, spiking neural networks
5. Cellular self-organisation: active phase separation and biological condensates; protein aggregation in membranes; cellular length control; cell polarisation
6. Active particles: trapping of active particles at partially absorbing or sticky walls; mean field theory; effects of stochastic resetting
7. Stochastically switching (hybrid) systems: environmental vs particle switching; stochastic hybrid path integrals and large deviations
B. Stochastic models of cellular transport
1 .Cytoneme-based morphogenesis and viral spread,
2. Axonal motor transport
3. Queuing theory of target resource accumulation
4. Stochastically switching diffusion processes: applications to gap junctions, ion channels, nuclear transport, protein concentration gradients
5. Protein receptor trafficking and synaptic plasticity
For more details see my personal website
1. Boundary conditions for stochastic differential equations (SDEs): Encounter-based models of absorption; semi-permeable interfaces and snapping out BM; sticky boundaries; stochastically gated boundaries.
2. Diffusion in singularly perturbed domains: narrow capture problems; accumulation-times; encounter-based models; semi-permeable interfaces; applications to synaptic receptor trafficking and bacterial quorum sensing
3. Stochastic resetting: nonequilibrium stationary states; first-passage time problems; stochastic thermodynamics; randomly switching potentials; accumulation times; encounter-based models and semipermeable membranes; applications to cellular transport processes
4. Stochastic interacting particle systems: mean field theory; generalized McKean-Vlasov equations; effects of stochastic resetting, absorbing boundaries and switching potentials; applications to colloids, coupled phase oscillators, spiking neural networks
5. Cellular self-organisation: active phase separation and biological condensates; protein aggregation in membranes; cellular length control; cell polarisation
6. Active particles: trapping of active particles at partially absorbing or sticky walls; mean field theory; effects of stochastic resetting
7. Stochastically switching (hybrid) systems: environmental vs particle switching; stochastic hybrid path integrals and large deviations
B. Stochastic models of cellular transport
1 .Cytoneme-based morphogenesis and viral spread,
2. Axonal motor transport
3. Queuing theory of target resource accumulation
4. Stochastically switching diffusion processes: applications to gap junctions, ion channels, nuclear transport, protein concentration gradients
5. Protein receptor trafficking and synaptic plasticity
For more details see my personal website