

Goldstein Lab
Teaching
Biological Physics and Fluid Dynamics (BPFD): Part III, Michaelmas 2023
Prof Raymond E. Goldstein
This course will provide an overview of the physics and fluid dynamics of living systems, with an emphasis on their mathematical description. The range of subjects and approaches,
from phenomenology to detailed calculations, will be of interest to
students from applied mathematics, physics, and computational biology.
The topics to be covered span the range of length scales
from molecular to ecological, with emphasis on key paradigms.
They include:
 Microscopic Physics: van der Waals forces,
screened electrostatics, interactions of extended bodies;
 Fluctuations & Brownian Motion: thermal fluctuations of filaments,
interfaces and membranes, random walks and polymers (freelyjointed chain, semiflexible filaments);
 Biological Filaments: differential geometry, constraints, variational principles,
overdamped filament motion, instabilities and elastohyrodynamics;
 Surfaces & Membranes: differential geometry, membrane fluctuations, shapes and shape transformations;
 Cellular Motion: swimming at low Reynolds number, flagella and physics of lowRe propulsion, models of
synchronisation, singularity description, swimmers in flows, surfacemediated interaction;
 Kinetics & Pattern Formation: MichaelisMenten kinetics, excitable media, front propagation,
reactiondiffusion systems, chemotaxis and instabilities;
Examples Classes
 1: TBA, X November, 2023: MRX, CMS: YY:ZZYY:ZZ
 2: TBA, X November, 2023: MRX, CMS: YY:ZZYY:ZZ
 3: TBA, X November, 2023: MRX, CMS: YY:ZZYY:ZZ
 4: TBA, X January, 2024: MRX, CMS: YY:ZZYY:ZZ
Lecture notes
The complete set of lecture notes is now available, with hyperlinked references, all figure files and
Matlab scripts.
Caveat emptor: these will surely contain errors and typos  so please
let us know when you find them by emailing corrections to REG.
