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Transport Phenomena in Cell Biology Eric R. Dufresne Department Mechanical Engineering Department of Chemical Engineering Department of Physics Yale University 1 • Background and Societal Impact – Cells are the basic organizing unit of life • A cell is a membrane-bound soup of water, proteins, lipids and nucleic acids that grows, reproduces and interacts with its environment – Cell biology plays essential roles in human disease, • e.g. bacterial infections, cancer – Engineers have long exploited cells to process materials • e.g. food (bread and beer), medicine and energy (cellulosic ethanol) 2 • Transport Phenomena in Live Cells Molecular Scale - Ion Channels Nanoscale – Cytoskeletal Dynamics Ionic specificity Voltage Gating Microscale - Chemotaxis Sensing Locomotion Schaefer, Kabir, Forscher JCB 158 139 (2002) David Rogers 1950s Sigworth Nature 423 21 (2003) Actin Polymerization Molecular Motors 3 • Technical Principles I – Fast Momentum Transport: Re << 1 • Dynamics are overdamped • Cytoplasm is non-Newtonian (viscoelastic) – Fast Heat Transport: Fo >> 1 • Cells are in thermal equilibrium – Mass transport is rate-limiting • Bacteria are nearly well-mixed by diffusion • Larger (eukaryotic) cells are heterogeneous. Diffusion dominates at short length scales, while active processes drive flow over larger length scales. 4 • Technical Principles II Simplified Transcriptional Network of E Coli Mass Transport = Information Transport • “Wet computers” - Networks of molecular interactions store and process information • Transcription networks regulate the production of proteins at longer timescales • Signaling networks process information from the environment at shorter timescales Ben-Schorr et al, Nature Genetics 31564 (2002) • Technical Principles III Mass Transport = Information Transport • Existing models treat cells as well-mixed, but cell heterogeneity or “polarity” is essential for many important phenomena • The role of mass transport in information processing is just beginning to be explored • Reaction-diffusion dynamics are currently being explored in theory and in silico • More realistic models incorporating non-Newtonian mechanics, heterogeneities, time-dependence and stochastic fluctuations are needed • Analytical theories are also needed to interpret these complex data Loew and Schaff, TRENDS in Biotechnology 19 401 (2001) 6 • Key Questions I – How do systems of molecules regulate cellular behavior? • How do cells process information? • How to move beyond “well-mixed” models? • Generalization and application of control theory? – What are the connections between molecules and mechanics? • How do cells measure forces? • How do cells generate forces, move, etc ? • How do cells control their structure and mechanical properties (stiffness, etc.) ? 7 • Key Questions II – Can cells be “programmed” to process materials and information? – Can tissue scaffolds stimulate cellular processes? – What can Nature’s “design” of cellular systems teach us about the design of engineered nano- and micro-systems? • e.g. can biochemical control systems be implemented into engineered materials? 8 • Recommendations I 1. Support research that impacts our understanding of cell-level systems biology. A Development of new technologies that 1. enable quantitative measurements of the spatiotemporal dynamics of biomolecular processes. 2. elucidate the interplay of biochemistry and mechanics in live cells. B Development of simulation tools and collaborative databases that enable in silico hypothesis testing C Development of simple theories that synthesize essential pieces of biochemistry, mechanics and control D Encourage collaborations between traditional engineering disciplines, biology and medicine 9 • Recommendations II 2. Update curricula to emphasize nano- and micro-scale transport phenomena (low Re fluids, Brownian Motion) and classical statistical mechanics. Encourage coursework in cellular and molecular biology. 10 • References 1. Random Walks in Biology, H.C. Berg, 1993 2. Molecular Driving Forces: Statistical Thermodynamics in Chemistry & Biology, by K.A. Dill (2002) 3. Mechanics of Motor Proteins and the Cytoskeleton, by J. Howard, 2001 4. An Introduction to Systems Biology: Design Principles of Biological Circuits, by U. Alon, 2006 5. “Systems Biology: A Brief Overview,” H. Kitano, Science 295 1662 (2002) 6. Molecular Biology of the Cell, Alberts et al (2002) 11