Calendar · Lecture Notes
MIT OpenCourseWare
Molecular, Cellular, and Tissue Biomechanics
Art: PSM V09 D115 Pasteur apparatus for germ studies, 1876 · Public domain
- Instructors
- Prof. Roger Kamm, Prof. Alan Grodzinsky
- Term
- Spring 2015
- Level
- Undergraduate
- What's inside
- 10 problem sets · 1 reading · 25 other files · 5 web pages
- Materials open
- MIT OCW
About this course
Source: MIT OpenCourseWare 20.310J Molecular, Cellular, and Tissue Biomechanics, Spring 2015, Prof. Roger Kamm, Prof. Alan Grodzinsky — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- MIT's own materials here did not support a verified, course-wide order, so they are grouped by section instead.
Not included here
25 items from the source could not be safely included:
- MIT's page format for this item wasn't recognized clearly enough to place it safely. (25 items)
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Readings
- Chapter 2.1: Cell Membrane Mechanics and Adhesion Download
- Chapter 2.2: Mechanics of the Cytoskeleton Download
- Chapter 2.3: Active Cell Processes Download
Lecture Slides
22 files
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 1 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 2 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 3 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 4 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 5 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 6 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 7 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 8 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 9 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 10 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 11 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 12 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 13 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 14 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 15 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 16 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 17 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 18 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 19 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 20 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 21 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Lecture 22 Download
Assignments
10 problem sets
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Problem Set 1 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Problem Set 1 Additional Questions Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Problem Set 2 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Problem Set 3 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Problem Set 3 Typos in Chapter 7 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Problem Set 4 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Problem Set 5 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Problem Set 6 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Problem Set 7 Download
- 20.310J Molecular, Cellular, and Tissue Biomechanics: Problem Set 8 Download
Course outline
Calendar · Lecture Notes
Lecture 2: Single Molecule Mechanics Thermal forces and Brownian motion. Diffusion, viscous drag, shear forces at low Reynolds numbers. Statistical mechanics and entropy; rubber elasticity and freely jointed chain; Worm-like chain; Force-extension curves; Applications to DNA, proteins, actin filaments; rigidity of DNA.
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Lecture 3: Energy Landscapes and Transition States Energy landscapes and reaction coordinates; transition state theory in thermodynamics; attempt rate and estimation of kinetics; Examples in Antiobody-antigen binding, DNA unfolding, hemoglobin.
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Lecture 4: Mechanochemistry at the Molecular Scale Molecular networks as force versus displacement transducers; exampes of myosin in myofibers and fibronectin unfolding; Inside-out and Outside-in mechanical signaling. Example of mechanochemistry in connective tissues and their constituent matrix macromolecules.
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Lecture 5: Kramers’ and Bell’s Models of Reversible Binding Effects of force on binding equilibrium; examples in reaction kinetics of ligands and receptors; applications to molecular adhesion. Eyring, Kramers, and Bell’s effect of applied force on reaction rate constants.
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Lecture 6: Experimental Methods in Single Molecule Mechanics Examples of molecular imaging techniques and molecular force probes: Atomic force microscopy, optical tweezers, optical FRET techniques to quantify forces and displacements relevant to Molecular-scale health and disease. Applications to extracellular macromolecules: Collagens, proteoglycans, mechanochemistry of ECM.
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Lecture 7: Composition of Extracellular Matrix Constituents of Tissues; Relevance to Elastic (Time-independent) Behavior of Tissues Different length scales in tissues. Composition of tissues as assemblies of cells within an extracellular matrix composed of collagens, proteoglycans, glycoproteins and elastin. Force balance in tissues: Stress and strain in the elastic region of behavior. Experiments to measure simple extension, shear, confined and unconfined compression. Examples from musculoskeletal system.
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Lecture 8: Elastic (Time-independent) Behavior of Tissues (cont.) Stress-strain relations for tissues formalized using an elastic Hookean constitutive law: Stress and strain tensors, notation and book keeping. Experiments and applications involving tendons, ligaments, intervertebral disc and muscle. Relation between Nano-molecular constituents and macroscopic mechanical behaviors of connective tissues.
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Lecture 9: Elastic (Time-independent) Behavior of Tissues (cont.) Homegeneous / nonhomogeneous; isotropic / anisotropic; linear / nonlinear behavior of tissues and relation to the Molecular-level properties of the extracellular matrix. Examples of models and experiments to measure the complex behavior of biological tissues in tension, shear and compression.
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Lecture 10: Finish Topics on Tissue Elasticity; Begin Viscoelasticity Summarize key features of tissue elastic behavior. Time-dependent viscoelastic behavior of tissues and molecules as single phase materials; molecular mechanisms for viscoelastic behavior; experiments demonstrating transient creep of tissues and the “Spring-dashpot” lumped parameter ‘Voigt’ model (advantages and limitations).
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Lecture 11: Time-dependent Viscoelasticity of Tissues Creep and stress relaxation of tissues: Experimental evidence and the lumped parameter models of Time-dependent viscoelastic behavior of tissues;
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Lecture 12: Dynamic (Frequency-dependent) Viscoelasticity Dynamic tissue behavior: The oscillator complex modulus (storage and loss moduli) using the ‘Standard 3-Element Linear Solid’ viscoelastic model as an example.
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Lecture 13: Poroelastic (Time-dependent) Behavior of Tissues The role of Fluid-matrix interactions in time- and Frequency-dependent behavior of biological tissues. Examples of poroelastic behavior: Soft tissues in health and disease. Darcy’s law for hydraulic permeability combined with continuity, conservation of momentum, and Stress-strain constitutive law gives the poroelastic “diffusion equation.” Creep and stress relaxation of isotropic Cross-linked gels compared to fibrous tissues, e.g., meniscus, cornea (relevant t ocorneal dystrophy), tendon, ligament, cartilage, bone (relevant to joint injuries).
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Lecture 14: Poroelastic (Frequency-dependent) Behavior of Tissues Dynamic (storage and loss) moduli revisited in the poroelastic context; examples of oscillatory poroelastic behavior of tissues. Fluid flow through porous tissues (e.g., cartilage) and hydrogels in confined compression; combined Poro-viscoelastic behavior.
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Lecture 15: Dynamic Nanomechanical Behavior of Extracellular Matrix Macromolecules Connections between the elastic, viscoelastic and poroelastic behavior of tissues and Time-dependent behavior of their constituent extracellular matrix molecules.
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Lecture 16: Time-and Frequency-dependent Behavior of Intracellular Networks Does the Time-and Frequency-dependent behavior associated with cell deformation reflect the poroelastic behavior that is now well known and quantified at the tissue level? Controversies in the literature: A lead-in to Cell Mechanics.
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Lecture 17: Cell Mechanics: Structure of the Cell A brief overview of cell anatomy. Experimental measurements of cell elasticity. Micro versus macro perspectives. Data interpretation using scaling and approximation. Cytoskeletal microstructure and a reconsideration of the HILE assumptions.
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Lecture 18: Visco / Poroelasticity, Large Amplitude Deformations Normal cell deformations. Active generation of internal tension. Need for experiments on gel systems. Comparison with exisiting viscoelastic and poroelastic models. Nonlinear elastic behavior. Fluidization.
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Lecture 19: Microstructural Models of the Cytoskeleton Tensegrity, cellular solids, and biopolymer models of cytoskeletal elasticity. Scaling analyses to ‘derive’ basic predictions. Comparison to measurements.
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Lecture 20: The Cell Membrane Membrane composition. Stretch, bending, and shear. Equations that govern membrane mechanics. Membrane tension versus bending. Relative importance of membrane and cytoskeleton.
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Lecture 21: Cell Motility and Mechanotransduction Measurement of cell motility (speed, persistence, “diffusivity”). Migration in 2D and 3D; the critical differences. Simple models for cell migration. Actin filament assembly / crosslinking and disassembly. Cells sensing their external microenvironment. Protein conformational changes and cellular activation. Bell’s equation revisited. The role of matrix in cell motility and stiffness sensing.
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Lecture 22: The Physics of Cancer In disease contexts, effects of matrix stiffness on the molecular, cellular, and tissue level processes related to cell adhesion and migration. Measurement of molecular binding kinetics and cell migration as influenced by Naturally-occurring forces. Discussion of the metastatic cascade and the role of mechanics in invasion, adhesion to the endothelium, and the transcendothelial migration.
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Lecture 23: Molecular Electromechanics: Electromechanical and Physicochemical Properties of Tissues Role of electrostatic and osmotic interactions between charged ECM molecules and resulting macroscopic tissue biomechanical properties and function. Measurement and modeling of Electro-mechanical forces at the molecular level.
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Lecture 24: Muscle from the Molecular, Cellular and Tissue Perspectives
MIT OpenCourseWare, Prof. Roger Kamm, Prof. Alan Grodzinsky, 20.310J Molecular, Cellular, and Tissue Biomechanics, Spring 2015.
License: CC BY-NC-SA 4.0 · Edition: Spring 2015 · Open the original course on OCW ↗
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