Dynamical Systems

Parameter Inference with Bifurcation Diagrams

Estimation of parameters in differential equation models can be achieved by applying learning algorithms to quantitative time-series data. However, sometimes it is only possible to measure qualitative changes of a system in response to a controlled …

Turing patterning in stratified domains

Reaction–diffusion processes across layered media arise in several scientific domains such as pattern-forming E. coli on agar substrates, epidermal–mesenchymal coupling in development, and symmetry-breaking in cell polarization. We develop a modeling …

Interpretation of morphogen gradients by a synthetic bistable circuit

During development, cells gain positional information through the interpretation of dynamic morphogen gradients. A proposed mechanism for interpreting opposing morphogen gradients is mutual inhibition of downstream transcription factors, but …

Fast enumeration of non-isomorphic chemical reaction networks

Chemical reaction networks (CRNs) have been applied successfully to model a wide range of phenomena and are commonly used for designing molecular computation circuits. Often, CRNs with specific properties (oscillations, Turing patterns, …

Scalable dynamic characterization of synthetic gene circuits

The dynamic behavior of synthetic gene circuits plays a key role in ensuring their correct function. Although there has been substantial work on modeling dynamic behavior after circuit construction, the forward engineering of dynamic behavior remains …

Efficient Amortised Bayesian Inference for Hierarchical and Nonlinear Dynamical Systems

Conference Paper (ICML): Introduces the methodology of using variational autoencoders to inference hierarchically assigned parameters of ordinary differential equation (ODE) models

Modelling ordinary differential equations using a variational auto encoder

Patent: The present disclosure relates to the modelling of ordinary differential equations (ODEs) based on a machine learning algorithm in the form of a variational auto encoder (VAE). For instance, this may be used to predict a temporal profile of the cell density in a growing population of cells engineered to produce a desired product such as a protein.

Dynamic Characterization of Synthetic Genetic Circuits in Living Cells

Patent: The present invention relates to a method for determining one or more intrinsic properties of a DNA component from a plurality of measurements obtained over a time period from a cell culture, with each cell comprising the DNA component, wherein the DNA component is involved in transcription of one or more target signals, wherein the plurality of measurements comprises measurements relating to the density of the cell culture over the time period and measurements relating to the amount of the one or more target signals in the cell culture over the time period.

Synthesizing and tuning stochastic chemical reaction networks with specified behaviours

Methods from stochastic dynamical systems theory have been instrumental in understanding the behaviours of chemical reaction networks (CRNs) arising in natural systems. However, considerably less attention has been given to the inverse problem of …

A mechanistic model for predicting cell surface presentation of competing peptides by MHC class I molecules

Major histocompatibility complex-I (MHC-I) molecules play a central role in the immune response to viruses and cancers. They present peptides on the surface of affected cells, for recognition by cytotoxic T cells. Determining which peptides are …