SLIDE 1 Sept 25 Biochemical Networks Chemotaxis and Motility in E. coli
Examples of Biochemical and Genetic Networks
- Background
- Chemotaxis- signal transduction network
SLIDE 2 Bacterial Chemotaxis
Flagellated bacteria “swim” using a reversible rotary motor linked by a flexible coupling (the hook) to a thin helical propeller (the flagellar filament). The motor derives its energy from protons driven into the cell by chemical gradients. The direction of the motor rotation depends in part on signals generated by sensory systems, of which the best studied analyzes chemical stimuli. Chemotaxis - is the directed movement of cells towards an “attractant” or away from a “repellent”.
- For a series of QuickTime movies showing swimming bacteria with fluorescently
stained flagella see: http://www.rowland.org/bacteria/movies.html
- For a review of bacterial motility see Berg, H.C. "Motile behavior of bacteria".
Physics Today, 53(1), 24-29 (2000). (http://www.aip.org/pt/jan00/berg.htm)
SLIDE 3
A photomicrograph of three cells showing the flagella filaments. Each filament forms an extend helix several cell lengths long. The filament is attached to the cell surface through a flexible ‘universal joint’ called the hook. Each filament is rotated by a reversible rotary motor, the direction of the motor is regulated in response to changing environmental conditions.
SLIDE 4 Rotationally averaged reconstruction of electron micrographs of purified hook-basal
- bodies. The rings seen in the image and labeled in the schematic diagram (right)
are the L ring, P ring, MS ring, and C ring. (Digital print courtesy of David DeRosier, Brandeis University.)
The E. coli Flagellar Motor- a true rotary motor
SLIDE 5 Tumble (CW) Smooth Swimming
(CCW)
SLIDE 6
Increasing attractant No Gradient Increasing repellent
Chemotactic Behavior of Free Swimming Bacteria
SLIDE 7
A ‘Soft Agar’ Chemotaxis Plate
A mixture of growth media and a low concentration of agar are mixed in a Petri plate. The agar concentration is not high enough to solidify the media but sufficient to prevent mixing by convection. The agar forms a mesh like network making water filled channels that the bacteria can swim through.
SLIDE 8
A ‘Soft Agar’ Chemotaxis Plate
Bacteria are added to the center of the plate and allowed to grow.
SLIDE 9 A ‘Soft Agar’ Chemotaxis Plate
As the bacteria grow to higher densities, they generate a gradient
- f attractant as they consume it in the media.
cells cells Attractant Concentration
SLIDE 10
A ‘Soft Agar’ Chemotaxis Plate
The bacteria swim up the gradients of attractants to form ‘chemotactic rings’ . This is a ‘macroscopic’ behavior. The chemotactic ring is the result of the ‘averaged” behavior of a population of cells. Each cell within the population behaves independently and they exhibit significant cell to cell variability (individuality).
SLIDE 11
A ‘Soft Agar’ Chemotaxis Plate
‘Serine’ ring ‘Aspartate’ ring Each ‘ring’ consists of tens of millions of cells. The cells outside the rings are still chemotactic but are just not ‘experiencing’ a chemical gradient. Serine and aspartate are equally effective “attractants”, but in this assay the attractant gradient is generated by growth of the bacteria and serine is preferentially consumed before aspartate.
SLIDE 12 Swimming
Fluorescent Flagella Bundle Tethered
Tracking
Assays of Bacterial Motility Brownian Motion Latex Beads
SLIDE 13
Assays of Bacterial Motility Surface Swarming Salmonella Flow Chamber Assay Pattern Formation Laser Trap
SLIDE 14 The Molecular Machinery of Chemotaxis OUTPUT Signal Transduction INPUT
Attractant concentration Direction
rotation
SLIDE 15 The Molecular Machinery of Chemotaxis OUTPUT Signal Transduction INPUT
Direction
rotation Attractants bind receptors at the cell surface changing their “state”. (methylated chemoreceptors MCPS).
Tsr Tar Tap Trg
SLIDE 16 The Molecular Machinery of Chemotaxis OUTPUT INPUT
Direction
rotation The MCPs regulate the activity of a histidine kinase - autophosphorylates
Tsr Tar Tap Trg CheA (CheW) P~
SLIDE 17 The Molecular Machinery of Chemotaxis OUTPUT INPUT
Direction
rotation CheA transfers its phosphate to a signaling protein CheY to form CheY~P.
Tsr Tar Tap Trg CheA (CheW) CheY P~ P~
SLIDE 18 The Molecular Machinery of Chemotaxis OUTPUT INPUT
Direction
rotation CheY~P binds to the “switch” and causes the motor to reverse direction. The signal is turned off by CheZ which dephosphorylates CheY.
Tsr Tar Tap Trg CheA (CheW) CheY CheZ P~ P~
SLIDE 19
MCP CheA (CheW) CheY~P CheZ CheY Motor
+ attractant
inactive
Excitatory Pathway
At ‘steady state’, CheY~P levels in the cell are constant and there is some probability of the cell tumbling. Binding of attractant of the receptor- kinase complex, results in decreased CheY~P levels and reduces the probability of tumbling and the bacteria will tend to continue in the same direction.
SLIDE 20 The Molecular Machinery of Chemotaxis OUTPUT INPUT
Direction
rotation
Tsr Tar Tap Trg CheA (CheW) CheY CheZ CheR CheB P~ P~
Adaptation involves two proteins, CheR and CheB, that modify the receptor to counteract the effects of the attractant.
SLIDE 21
Adaptation Pathway MCP CheA (CheW) MCP~CH3 CheA (CheW) CheR CheB~P Less active More active
SLIDE 22 Adaptation Pathway
MCP-(CH3)0 MCP-(CH3)3 MCP-(CH3)4 MCP-(CH3)1 MCP-(CH3)2 MCP-(CH3)0
+Attractant
MCP-(CH3)3
+Attractant
MCP-(CH3)4
+Attractant
MCP-(CH3)1
+Attractant
MCP-(CH3)2
+Attractant
CheR CheB~P
In a receptor dimer there will 65 possible states (5 methylation states and two
- ccupancy states per monomer). If receptors function in receptor clusters,
essentially a continuum of states may exist.
SLIDE 23 Some Issues in Chemotaxis:
- Sensing of Change in Concentration not absolute concentration
i.e. temporal sensing
- Exact Adaptation
- Sensitivity and Amplification
- Signal Integration from different Attractants/Repellents
The range of concentration of attractants that will cause a chemotactic response is about 5 orders of magnitude (nM ‡ mM)
SLIDE 24 Spiro, P. A., Parkinson, J. S. & Othmer, H. G. (1997) Proc. Natl. Acad. Sci. US 94: 7263–7268. Barkai, N. & Leibler, S. (1997) Nature (London) 387: 913–917. Tau-Mu Yi, Yun Huang , Melvin I. Simon, and John Doyle (2000)
- Proc. Natl. Acad. Sci. USA 97: 4649–4653.*
Bray, D., Levin, M. D. & Morton-Firth, C. J. (1998) Nature (London) 393: 85–88. *
References on Modeling Chemotaxis
* - these models have incorporated the Barkai model.
SLIDE 25 Robustness in simple biochemical networks
Departments of Physics and Molecular Biology, Princeton University, Princeton, New Jersey 08544, USA
Simplified model
system.
SLIDE 26 Mechanism for robust adaptation E is transformed to a modified form, Em, by the enzyme R; enzyme B catalyses the reverse modification reaction. Em is active with a probability
- f am(l), which depends on the input level l. Robust
adaptation is achieved when R works at saturation and B acts only on the active form of Em. Note that the rate of reverse modification is determined by the system’s output and does not depend directly
- n the concentration of Em (vertical bar at the end
- f the arrow).
SLIDE 27
Some parameters used to characterize the network.
Tumble frequency Steady-State Tumble Frequency Adaptation Time Adaptation precision
SLIDE 28 The system activity, A, of a model system which was subject to a series of step-like changes in the attractant concentration, is plotted as a function of
- time. Attractant was repeatedly added to the system and removed after 20
min, with successive concentration steps of l of 1, 3, 5 and 7 mM. Note the asymmetry to addition compared with removal of ligand, both in the response magnitude and the adaptation time.
Chemotactic response and adaptation in the Model.
SLIDE 29
Adaptation precision Adaptation Time
How robust is the model with respect to variation in parameters?
SLIDE 30
Adaptation precision (i.e. exact adaptation) is Robust
SLIDE 31
Adaptation time is very sensitive to parameters
SLIDE 32 Testing the predictions of the Barkai model Robustness in bacterial chemotaxis.
- U. Alon, M. G. Surette, N. Barkai & S. Leibler
- The concentration of che proteins were altered as a simple method to
vary network parameters.
- The behavior of the cells were measured (adaptation precision,
adaptation time and steady-state tumble frequency).
- In each case the predictions of the model we observed.
SLIDE 33
As predicted by the model the adaptation precision was robust while adaptation time and steady-state tumble frequency were very sensitive to conditions.
Data for CheR