Concept
Système de réaction-diffusion
Publications associées (89)
Lp-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity
We study the existence, uniqueness, and regularity of the solution to the stochastic reaction-diffusion equation (SRDE) with colored noise F-center dot:partial derivative(t)u = aijuxixj +biuxi + cu - bu1+beta +xi u1+gamma F-center dot, (t, x) is ...
San Diego2023Generalised Kerr Microcomb Physics in Synchronously Driven Systems
In this thesis, the generation of microcombs under complex, non-trivial, and/or higher-order cavity conditions is explored, both in theory & simulation, and in practical experimentation. Pulse-driving of microresonators is investigated for the generation ...
EPFL2023Emergent thermophoretic behavior in chemical reaction systems
Paolo De Los Rios, Daniel Maria Busiello, Shiling Liang
Exposing a solution to a temperature gradient can lead to the accumulation of particles on either the cold or warm side. This phenomenon is known as thermophoresis, and its microscopic origin is still debated. Here, we show that thermophoresis can be obser ...
IOP Publishing Ltd2022Targeted search for scaling genes reveals matrix metalloproteinase 3 as a scaler of the dorsal-ventral pattern in Xenopus laevis embryos
How embryos scale patterning according to size is still not fully understood. Through in silico screening and analysis of reaction-diffusion systems that could be responsible for scaling, we predicted the existence of genes whose expression is sensitive to ...
2022STEPS 4.0: Fast and memory-efficient molecular simulations of neurons at the nanoscale
James Gonzalo King, Pramod Shivaji Kumbhar, Iain Hepburn, Weiliang Chen, Tristan Mathieu Carel, Alessandro Cattabiani, Nicola Cantarutti, Omar Awile, Christos Kotsalos, Samuel Marie A Melchior, Baudouin Paul Michel Maria Joseph Del Marmol, Giacomo Castiglioni
Recent advances in computational neuroscience have demonstrated the usefulness and importance of stochastic, spatial reaction-diffusion simulations. However, ever increasing model complexity renders traditional serial solvers, as well as naive parallel imp ...
FRONTIERS MEDIA SA2022Reaction wavefront theory of notochord segment patterning
The vertebrate axis is segmented into repetitive structures, the vertebrae. In fish, these segmented structures are thought to form from the paraxial mesoderm and the adjacent notochord. Recent work revealed an autonomous patterning mechanism in the zebraf ...
FRONTIERS MEDIA SA2022Microresonator Dissipative Kerr Solitons Synchronized to an Optoelectronic Oscillator
Tobias Kippenberg, Wenle Weng, Jijun He
Using phase-modulation-induced potential gradient whose period is synchronized to a microwave opto-electronic oscillator, dissipative Kerr solitons generated in a crystalline optical microresonator are trapped by the soliton tweezing effect, exhibiting a s ...
AMER PHYSICAL SOC2022Annihilation Filter Approach For Estimating Graph Dynamics From Diffusion Processes
Pascal Frossard, Arun Venkitaraman
We propose an approach for estimating graph diffusion processes using annihilation filters from a finite set of observations of the diffusion process made at regular intervals. Our approach is based on the key observation that a graph diffusion process can ...
IEEE2022CO2-Driven diffusiophoresis and water cleaning: similarity solutions for predicting the exclusion zone in a channel flow
We investigate experimentally and theoretically diffusiophoretic separation of negatively charged particles in a rectangular channel flow, driven by CO2 dissolution from one side-wall. Since the negatively charged particles create an exclusion zone near th ...
ROYAL SOC CHEMISTRY2021Learning Self-Exciting Temporal Point Processes Under Noisy Observations
Understanding the diffusion patterns of sequences of interdependent events is a central question for a variety of disciplines. Temporal point processes are a class of elegant and powerful models of such sequences; these processes have become popular across ...
EPFL2021