Special events:
Since Fall 2017

Special events, seminars, and talks

      6th December, 2017: Maxwell Institute Applied Maths Seminar         
      Confirmed keynote speakers: Gregoire Allaire, l'Ecole Polytechnique
      Location:          ICMS, Edinburgh

      22nd November, AC2MB seminar         
      Antonio Moro (Northumbria)
      Time (Location):     2:15pm (CM.T01)

      15th November, AC2MB seminar         
      Baixin Chen (HWU)
      Time (Location):     2:15pm (CM.T01)

      Event:          TBA
      Location:     TBA

AC2MB Seminar: Spring 2017

Applied and Computational Mathematics


Mathematical Biology seminar

      Time:          Wednesdays at 2:15pm
      Location:   CM.T01
  • 25.01., 2:15pm in CM.T01
    Efficient stochastic algorithms for molecular and coarse-grained simulation in and out of equilibrium
    Benedict Leimkuhler (UoE)

    Stochastic numerical methods are increasingly popular in molecular, soft-matter and materials simulation. I will first review our work on efficient stochastic numerical methods for Langevin dynamics, including new constrained molecular integrators that allow a doubling of the timestep for molecular dynamics. Much of our current work is focussed on adapting our schemes to generalized forms of Langevin dynamics including dissipative particle dynamics and the generalized Langevin equation. In the case of DPD, which is widely used for nonequilibrium modelling (e.g. shear flows), I will discuss the use of a pairwise adaptive Langevin scheme which is suited for simulation in both transient and steady-state regimes.

    Joint work with Charlie Matthews (Chicago), Matthias Sachs (UoE), Xiaocheng Shang (Brown) and Martin Kroeger (ETH)
  • 01.02, 2:15pm in CM.T01
    Free boundaries on cell boundaries: asymptotic limits of a model for receptor-ligand dynamics
    Chandrasekhar Venkataraman (St. Andrews)

    Receptor-ligand interactions, constitute a fundamental part of a number of phenomena in cell biology. Hence their mathematical modelling and computational simulation is an important task. We consider a coupled bulk-surface system of partial differential equations with nonlinear coupling, that arises as a simplification of a mathematical model for the reaction between cell surface resident receptors and ligands present in the bulk region surrounding the cell. Nondimensionalisation of the model using biologically relevant values for the various characteristic scales leads one to consider a number of biologically relevant asymptotic limits of the model. In this talk we develop a mathematical theory for the treatment of the original model together with a rigorous proof of convergence to a number of limiting bulk-surface free boundary problems in the aforementioned limits. The theoretical results are supported by computations of the original and reduced problems on realistic geometries.

    Joint work with Charles Elliott (Warwick) and Tom Ranner (Leeds)

  • 08.02., 2:15pm in CM.T01
    Diffusion of finite-size particles and application to heterogeneous domains
    Maria Bruna (Oxford)

    We discuss nonlinear Fokker-Planck models describing diffusion processes with particle interactions. These models are motivated by the study of many particle systems in biology, and arise as the population-level description of a stochastic particle-based model. In particular, we consider a system of impenetrable diffusing spheres and use the method of matched asymptotic expansions to obtain a systematic model reduction. The same method can be applied to soft spheres (particles interacting via a soft short-range repulsive potential. In the second part of the talk, we discuss how this method can be used to derive an effective transport equation in heterogeneous domains, such as porous media or crowded environments. A nice feature of this approach is that it can easily account for macroscopic gradients in porosity or crowding.

  • 01.03., 2:15pm in CM.T01
    Geophysics: the nexus of applied mathematics, physics, and geology
    Mason (Andy) Kass (US Geological Survey)

    Geophysics is the intersection between geology, physics, and mathematics. Incorporating myriad disciplines, the field of geophysics has an even wider range of applications, from studying moisture content in the top centimeter of the Earth to exoplanet core densities, using a variety of instruments to infer physical properties of the subsurface. From passive measurements of the gravity field to active electromagnetic surveys, mathematics and computer science provide the link between measured data and models of the earth. In this talk, I present an overview of the more common mathematical and computational techniques used in geophysics today. Using several field surveys as examples I discuss how recent advances in mathematics and computer science have enhanced our ability to design surveys, resolve geological models, and understand the uncertainty therein. Specifically, I will discuss the challenges in interpretation of potential field data (a classic ill-posed problem), comparisons between deterministic and stochastic approaches to interpreting airborne electromagnetic data, and the frontiers of interpreting nuclear magnetic resonance data. Ultimately, this talk aims at highlighting the current and future possibilities for collaborations between applied mathematics and geophysics.

  • 08.03., 2:30pm in CM.T01
    Generalised Weierstrass elliptic functions, nonlinear wave equations, and heat equations
    Chris Eilbeck (HWU)

    The well-known Weierstrass elliptic functions are constructed from an algebraic curve of genus 1, and can be used to solve a number of nonlinear ordinary differential equations, such as the travelling wave problem for the KdV equation. As well as the soliton solution, such methods give periodic solutions of the ODEs. If the curve is generalised to a higher genus, the corresponding generalised Weierstrass functions give multiple periodic solutions of many well-known nonlinear PDEs, such as KdV, Boussinesq and KP. Recent work centres on associated sets of linear heat equations which can be used to form recurrence relations for the generalised Weierstrass sigma function.

  • 22.03., 2:15pm in CM.T01
    Acoustic transmission problems
    Euan Spence (Bath)

    This talk is about acoustic scattering, modelled by the Helmholtz equation. In particular, we consider the Helmholtz transmission problem with one penetrable obstacle. We will discuss recent PDE results (obtained in collaboration with Andrea Moiola from Reading) about the solution of this problem that are relevant both from an analysis point of view and a numerical analysis/computational point of view. No a priori knowledge of the Helmholtz transmission problem will be necessary to understand this talk!

  • 26.04., Maxwell Institute Seminar in Applied Maths for PhD students
    For time & place see the schedule

  • 10.05., 3:45pm coffee & 4:10pm to 5pm talk
    Mathematical Models of Transport Processes in Electrochemistry: from Homogenization to Inverse Problems
    Bartek Protas (McMaster University)

    We will survey a number of results obtained in our research program aiming to characterize several key transport processes in electrochemical systems. Our emphasis will be on problems in which mathematical and computational techniques are used to derive new insights from experimental data. We will focus on the following problems:
    - determination of effective transport properties of multiphase porous electrodes using mathematical homogenization techniques,
    - characterization of conditions for binder detachment in electrodes using PDE models of continuum mechanics and methods of asymptotic analysis, and
    - identification of concentration-dependent constitutive relations in electrolyte solutions based on inverse modelling.
    These results have been obtained in a collaborative research effort involving mathematicians, chemists and material scientists.

  • 05.07., 2:15pm in CM.T01
    Matteo Icardi (Warwick)


  • DATE, TIME, Maxwell Institute Applied Maths Seminar at ICMS
    (jointly with ACM seminar, UoE)



    3:50pm Coffee break
    4:10pm 2nd talk at ICMS



    5:00pm Reception

  • DATE, 2:15pm in CM.T01 (HWU)


Special events and talks:
Since fall 2017


AC2MB seminars:
From Fall 2015 to Spring 2017


AC2MB Seminar Calendar