Team:ETHZ Basel/Achievements/E lemming

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(Difference between revisions)
(Experimental Results)
(The E. lemming)
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<code>tan(&phi;<sub>i</sub>)=(y<sub>i+1</sub>-y<sub>i-1</sub>)/(x<sub>i+1</sub>-x<sub>i-1</sub>).</code><br />
<code>tan(&phi;<sub>i</sub>)=(y<sub>i+1</sub>-y<sub>i-1</sub>)/(x<sub>i+1</sub>-x<sub>i-1</sub>).</code><br />
[[Image:AngleOverTime.jpg|thumb|center|900px|'''Figure 1: Angle of the E. lemming'''  during one measurement (see Video 1) as calculated from the central differences of its positions. The estimated reaction times between the switching off the blue light and the reactions of the E. lemming are marked in the image. For the reaction delay between switch-on of the light and straight swimming we obtained &Delta;t<sub>1</sub>&asymp;2.1s and &Delta;t<sub>2</sub>&asymp;3.0s. For the delay between the switch-off of the blue light and start of tumbling it was only possible to estimate the time delay for the second light pulse, &Delta;t<sub>3</sub>&asymp;2.4s. White background: blue light off. Light blue background: blue light on.]]
[[Image:AngleOverTime.jpg|thumb|center|900px|'''Figure 1: Angle of the E. lemming'''  during one measurement (see Video 1) as calculated from the central differences of its positions. The estimated reaction times between the switching off the blue light and the reactions of the E. lemming are marked in the image. For the reaction delay between switch-on of the light and straight swimming we obtained &Delta;t<sub>1</sub>&asymp;2.1s and &Delta;t<sub>2</sub>&asymp;3.0s. For the delay between the switch-off of the blue light and start of tumbling it was only possible to estimate the time delay for the second light pulse, &Delta;t<sub>3</sub>&asymp;2.4s. White background: blue light off. Light blue background: blue light on.]]
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When plotting the angle over time (see Figure 1), one observes that during white light periods the angle is increasing with a nearly constant angular speed of about 27° per second (&asymp8° per frame). When switching on blue light, the angular speed decreases to nearly zero for several seconds after a delay between 2 and 3s.  
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When plotting the angle over time (see Figure 1), one observes that during white light periods the angle is increasing with a nearly constant angular speed of about 27° per second (&asymp;8° per frame). When switching on blue light, the angular speed decreases to nearly zero for several seconds after a delay between 2 and 3s.  
For the first light pulse this decrease of angular speed lasted for about 10s until the return to pre-blue light behavior, for the second light pulse this effect only ended after the blue light was switched off again. In the latter, normal swimming behavior re-established after a delay of approximately 2.4s, which is nearly the same delay as the delay when switching the light on.
For the first light pulse this decrease of angular speed lasted for about 10s until the return to pre-blue light behavior, for the second light pulse this effect only ended after the blue light was switched off again. In the latter, normal swimming behavior re-established after a delay of approximately 2.4s, which is nearly the same delay as the delay when switching the light on.
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We furthermore noticed that the E. lemming seems to have the tendency to show a bigger tumble right before starting swimming straight when the blue light is switched on. However, if this behavior occurred by chance or if this is a general property of the E. lemming was yet not possible to show.
We furthermore noticed that the E. lemming seems to have the tendency to show a bigger tumble right before starting swimming straight when the blue light is switched on. However, if this behavior occurred by chance or if this is a general property of the E. lemming was yet not possible to show.
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== Simulations ==
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We built a model of the archeal photoreceptor. It shows similar behavior to blue light pulses as experimentally observed (see Figure 2): After shut-on off blue light, the bias (time the cell is straight swimming devided by total time) is increasing 1.5s. When the blue light stays on, the bias is slowly decreasing, such that the probability for falling back in tumbling behavior increases as longer the light stays switched on. When switching the light off again, the bias is fast decrasing with a similar time constant as when switching on the light.
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[[Image:simBiasOverTime.jpg|thumb|center|900px|'''Figure 1: Bias of the E. lemming''' as predicted by our mathematical model. The bias is the probability of a cell to swim straight. This plot was generated by applying the same light pulses as used experimentally (see Figure 1)]]
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The by the model predicted delay between the change of light intensity and a change in swimming behavior of the E. lemming is approximately 0.5-1s slower than experimentally measured. We believe that this difference might be due to the several dynamic processes not explicitly modeled by us, like the traveling time of the phosphorylated CheY proteins between the receptor and the motor complexes and the reaction time of the flagellums.

Revision as of 21:48, 27 October 2010

The E. lemming

What it needs to bring E. lemming alive

It needs an archeal photoreceptor that is fused to a bacterial chemotactic transducer (BBa_K422001). This was successfully demonstrated by Jung et al. in 2001, who fused the Natronobacterium pharaonis NpSRII (Np seven-transmembrane retinylidene photoreceptor sensory rhodopsins II) and their cognate transducer HtrII to the cytoplasmic domain of the chemotaxis transducer EcTsr of Escherichia coli. For more information visit our Archeal Light Receptor wiki page.

To make the nice videos shown below, the optimal chemotactic conditions that were concluded from a series of different microscopy images, were applied. Escherichia coli K12 cells were grown at 30 °C in Lysogeny Broth to on OD of 1.0. IPTG for induction of gene expression and all-trans retinal for NpSRII folding were added to the media.

Experimental Results

We imaged several transfected E. coli cells with a 20× lens in a ≈50μm high flow channel. Approximately 5% of the cells reacted on the switch-on and -off of the blue light (≈500 nm) signal by changing significantly their swimming behavior. Video 1 shows an E. lemming swimming in regular circles in a constant light environment. When switching the blue light on, it completely changes its motility after a 2-3s delay by swimming straight for several seconds. When the light is switched off, it returns to its original behavior after a similar delay (see paragraph "Characterization").

Video 2 shows another E. lemming which is swimming straight with frequent interruptions by tumblings when being in a constant light environment. When the blue light is switched on, the tumblings nearly completely disappear and the E. lemming is swimming straight over large distances. When the light is switched off, the tumbling disappears or the E. lemming alternatively stops movement at all.

Video 1: The E. lemming in action!
Blue dots: the detected E. coli cells; yellow dot: the currently selected E. lemming; yellow cone: the current swimming direction of E. lemming; blue environment:blue light on (inducing directed movement); gray environment: blue light off (inducing tumbling).

Note how the E. lemming is keeping its direction under the influence of blue light, whereas it is tumbling and quickly changing directions when the blue light is off.

The unprocessed microscope images are available here.
Video 2: E. lemming's brother in action! The brother of the E. lemming decided to swim several times nearly out of focus and out of the field of view such that he had to be tracked manually.
Yellow dot: the currently selected E. lemming; yellow cone: the current swimming direction of E. lemming; blue environment:blue light on (inducing directed movement); gray environment: blue light off (inducing tumbling).

Note how the E. lemming is keeping its direction under the influence of blue light, whereas it is tumbling and quickly changing directions when the blue light is off.

The unprocessed microscope images are available here.
In both movies we visually highlighted the current position of the respective E. lemming. In the first movie this was possible by using our cell detection and tracking algorithm, such that also all other cells could be easily highlighted, too. In the second video this was not possible, since the E. lemming nearly swims out-of-focus once and the stage had to be moved during the experiment to keep the E. lemming in the field of view of the microscope. Thus, the tracking had to be done by hand (≈230 frames) for the second movie.

Characterization

To characterize the change of swimming behavior when switching on or off the blue light signal, we estimated the angle of the E. lemming for each frame of Video 1. This was done by obtaining the positions (xi, yi) of the E. lemming from our cell detection and tracking algorithm. The angle φi of frame i was then calculated by central differences:
tan(φi)=(yi+1-yi-1)/(xi+1-xi-1).

Figure 1: Angle of the E. lemming during one measurement (see Video 1) as calculated from the central differences of its positions. The estimated reaction times between the switching off the blue light and the reactions of the E. lemming are marked in the image. For the reaction delay between switch-on of the light and straight swimming we obtained Δt1≈2.1s and Δt2≈3.0s. For the delay between the switch-off of the blue light and start of tumbling it was only possible to estimate the time delay for the second light pulse, Δt3≈2.4s. White background: blue light off. Light blue background: blue light on.

When plotting the angle over time (see Figure 1), one observes that during white light periods the angle is increasing with a nearly constant angular speed of about 27° per second (≈8° per frame). When switching on blue light, the angular speed decreases to nearly zero for several seconds after a delay between 2 and 3s.

For the first light pulse this decrease of angular speed lasted for about 10s until the return to pre-blue light behavior, for the second light pulse this effect only ended after the blue light was switched off again. In the latter, normal swimming behavior re-established after a delay of approximately 2.4s, which is nearly the same delay as the delay when switching the light on. Please note that the natural adaptation system of the chemotaxis pathway downstream of the light receptor is active in this mutant, such that the swimming behavior only changes directly after the blue light is switched on or off, but is not necessarily different between long periods of light on or off.

We furthermore noticed that the E. lemming seems to have the tendency to show a bigger tumble right before starting swimming straight when the blue light is switched on. However, if this behavior occurred by chance or if this is a general property of the E. lemming was yet not possible to show.

Simulations

We built a model of the archeal photoreceptor. It shows similar behavior to blue light pulses as experimentally observed (see Figure 2): After shut-on off blue light, the bias (time the cell is straight swimming devided by total time) is increasing 1.5s. When the blue light stays on, the bias is slowly decreasing, such that the probability for falling back in tumbling behavior increases as longer the light stays switched on. When switching the light off again, the bias is fast decrasing with a similar time constant as when switching on the light.

Figure 1: Bias of the E. lemming as predicted by our mathematical model. The bias is the probability of a cell to swim straight. This plot was generated by applying the same light pulses as used experimentally (see Figure 1)

The by the model predicted delay between the change of light intensity and a change in swimming behavior of the E. lemming is approximately 0.5-1s slower than experimentally measured. We believe that this difference might be due to the several dynamic processes not explicitly modeled by us, like the traveling time of the phosphorylated CheY proteins between the receptor and the motor complexes and the reaction time of the flagellums.