Pattern Formation in Biology - Lecture 4

Explore the fascinating world of pattern formation in biology through this comprehensive lecture by Vijaykumar Krishnamurthy from the International Centre for Theoretical Sciences. Delve into hydrodynamic theories, Einstein fluctuation formula, and conservation laws as they apply to biological systems. Examine the cytoskeleton as a force generator and learn about the actomyosin cortex of cells. Discover how hydrodynamics principles can be applied to active gels and the actomyosin cortex. Investigate pattern formation in active fluids, including stationary patterns in the cortex and active pulsatory patterns. Gain insights into force balance and participate in a Q&A session to deepen your understanding of this complex topic.

Pattern Formation in Biology Lecture 4
HYDRODYNAMICS Extension of thermodynamic
HYDRODYNAMIC THEORIES
Einstein fluctuation formula
How does the entropy change?
General idea
Classical examples
Equations for the conserved fields
Conservation laws
Momentum conservation
Angular momentum
Chemical concentration
Chemical reactions
Orientational degrees of freedom
Simple isotropic fluid
HYDRODYNAMIC FIELDS
CONJUGATE FIELDS
Cytoskeleton : Force-generator
The actomyosin cortex of cells
Hydrodynamics of active gels
Hydrodynamics of the actomyosin cortex
Useful picture...?
Pattern formation in active fluids
Stationary patterns in the cortex
Questions
Force balance
Active pulsatory patterns - 2 species
Q&A