• Introduction to topological data analysis

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: I will give an introduction to topological data analysis (TDA), in which one uses ideas from algebraic topology to study the "shape" of data. I will focus on persistent homology (PH), which is the most common approach in TDA.

  • Topological data analysis of spatial systems

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: From the venation patterns of leaves to spider webs, roads in cities, social networks, and the spread of COVID-19 infections and vaccinations, the structure of many systems is influenced significantly by space. In this talk, I will discuss the application of

  • Design principles of physiological circuits

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: We will discuss hormone circuits and their dynamics using new models that take into account timescales of weeks due to growth of the hormone glands. This explains some mysteries in diabetes and autoimmune disease.

  • Universal biology in adaptation and evolution: dimensional reduction, and fluctuation-response relationship

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: A macroscopic theory for cellular states with steady-growth is presented, based on consistency between cellular growth and molecular replication, together with robustness of phenotypes against perturbations. Adaptive changes in high-dimensional phenotypes are shown to be restricted within a low-dimensional slow manifold,

  • A systems biology approach using multi-scale modeling to understand the immune response to tuberculosis infection and treatment

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: Tuberculosis (TB) is one of the world’s deadliest infectious diseases. Caused by the pathogen Mycobacterium tuberculosis (Mtb), the standard regimen for treating TB consists of treatment with multiple antibiotics for at least six months. There are a number of complicating factors

  • Scaling behaviors in physiological fluctuations: relevance to circadian regulation and insights into the development of Alzheimer’s disease

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: Outputs from health biological systems display complex fluctuations that are not random but display robust and often self-similar (fractal) temporal correlations at different time scales— scaling behaviors. The scaling behaviors in the fluctuations of biological outputs such as neural activities, cardiac

  • Introduction to balanced networks

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: The idea of balance between excitation and inhibition is central in the theory of biological neural networks.  I will give a brief introduction to the concept of such balance, and an overview of the mathematical ideas that can be used to study

  • Plasticity and balance in neuronal networks

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: I will first describe how to extend the theory of balanced networks to account for synaptic plasticity. This theory can be used to show when a plastic network will maintain balance, and when it will be driven into an unbalanced state.

  • Stochastic modelling of reaction-diffusion processes

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: I will introduce mathematical and computational methods for spatio-temporal modelling in molecular and cell biology, including all-atom and coarse-grained molecular dynamics (MD), Brownian dynamics (BD), stochastic reaction-diffusion models and macroscopic mean-field equations. Microscopic (BD, MD) models are based on the simulation

  • Multi-resolution methods for modelling intracellular processes

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: I will discuss the development, analysis and applications of multi-resolution methods for spatio-temporal modelling of intracellular processes, which use (detailed) Brownian dynamics or molecular dynamics simulations in localized regions of particular interest (in which accuracy and microscopic details are important) and

  • From live cell imaging to moment-based variational inference

    Livestream
    ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium) (pw: 1234)

    This talk will be presented online. Zoom link: 997 8258 4700 (pw: 1234) Abstract: Quantitative characterization of biomolecular networks is important for the analysis and design of network functionality. Reliable models of such networks need to account for intrinsic and extrinsic noise present in the cellular environment. Stochastic kinetic models provide a principled framework for