Physics 4xx
Mechanics of the Cell





PHYS4xx - Biophysics: Mechanics of the Cell is an introductory course on the mechanical properties of biological cells and may be taken by senior undergraduates or beginning graduate students interested in soft condensed matter or biophysics. The support material for the course consists of a 400-page textbook Mechanics of the Cell and a set of on-line lecture notes. Written for senior undergraduates and beginning graduate students, the textbook is structured so that readers can follow the application of mechanics to biological cells with minimal reference to the mathematical proofs behind the formalism. A related set of lectures on statistical mechanics can be found elsewhere in this website, under PHYS445 - Statistical Mechanics.

Click here for the table of contents of the text and sample material from the first two chapters.

The lectures are stored in the form of PDF files and can be read by Adobe Acrobat Reader (click to download a free copy from Adobe).

Click to download the PDF file.



Lecture notes to accompany PHYS4xx

Introduction and review
Lecture 1 - Cell sizes, shapes and structure
Lecture 2 - Animal cells and tissues
Lecture 3 - Molecular building blocks
Lecture 4 - DNA - composition and structure
Lecture 5 - DNA - transcription and replication
Lecture 6 - Stat. mech: Boltzmann factor
Polymers
Lecture 1 - Flexible filaments
Lecture 2 - Sizes of polymer chains
Lecture 3 - Chain elasticity
Lecture 4 - Biopolymers
Networks in two and three dimensions
Lecture 1 - Soft networks and their deformation
Lecture 2 - Elastic moduli in 2D and 3D
Lecture 3 - Effects of stress and temperature
Lecture 4 - Measurements of biological networks
Lecture 5 - Networks in three dimensions
Supplementary - Entropic networks
Part 2 - Membranes
Lecture 14 - Composition of biomembranes
Lecture 15 - Self-assembly of amphiphiles
Lecture 16 - Bilayer compression resistance
Lecture 17 - Bilayer bending resistance
Lecture 18 - Mechanical instability and failure
Lecture 19 - Surface curvature
Lecture 20 - Membrane bending and persistence length
Lecture 21 - Scaling properties of polymers and membranes
Lecture 22 - Measurement of membrane undulations
Part 3 - The Whole Cell
Lecture 23 - Energetics of the bilayer
Lecture 24 - Phases and shape stability of vesicles
Lecture 25 - Bacteria and the human erythrocyte
Lecture 26 - Interactions between membranes
Lecture 27 - Forces and energies
Lecture 28 - Statistical mechanics of adhesion
Lecture 29 - Fluctuation-driven forces
Mobility and motility
Lecture 1 - Movement in the cell
Lecture 2 - Polymerization of actin and tubulin
Lecture 3 - Molecular motors
Lecture 4 - Forces and torques
Lecture 5 - Cell division
Lecture 6 - Tensegrity and buckling
Extensions - The largest and smallest cells