Team:CUNY Kingsborough/Light Operon

Background Design Experiments Results
Overview Modeling 101 Light Operon Turing Patterns CRISPR-Cas13a
Human Practices Public Engagement
Team Members Collaborations Attributions


Light Operon

Introduction

Equations

  1. \(\frac{dy_{DD}}{dt}=k_1+ 2\cdot k_2 \cdot y_{DL,LD} - 2 \cdot (N\cdot k_3) \cdot y_{DD} - \beta_1 \cdot y_{DD}\)
  2. \(\frac{dy_{DL,LD}}{dt}=2 \cdot (N \cdot k_3) \cdot y_{DD} + 2 \cdot k_2 \cdot y_{LL} - 2 \cdot k_2 \cdot y_{DL,LD} - 2 \cdot (N \cdot k_3) \cdot y_{DL,LD} - \beta_2 \cdot y_{DL,LD}\)
  3. \(\frac{dy_{LL}}{dt} = 2 \cdot (N \cdot k_3) \cdot y_{DL,LD} - 2\cdot k_2 \cdot y_{LL} - \beta_3 \cdot y_{LL}\)
Parameter Value Name
\(N\) Variable of \(\frac{\mu \cdot mol}{m^2 \cdot h}\) Concentration of light
\(k_1\) \(2.6921 \frac{\mu \cdot mol}{hr}\) Production rate of \(y_{DD}\)
\(k_2\) \(0.0008 \frac{1}{hr}\) Relaxtion rate of \(y_{DL,LD}\) and \(y_{LL}\)
\(k_3\) \(0.4219 \frac{m^2}{\mu \cdot \mol}\) Conversion cross-section of light intensity activated production rate of \(y_{DL,LD}\) and \(y_{LL}\).
\(\beta_1\) \(0.3049 \frac{1}{hr}\) Degradation rate of \(y_{DD}\)
\(\beta_2\) \(0.8406 \frac{1}{hr}\) Degradation rate of \(y_{DL,LD}\)
\(\beta_3\) \(0.1477 \frac{1}{hr}\) Degradation rate of \(y_{DD}\)

Results

The different states of Yf1 are being hit with different intensities of light, producing alternating results unique to the state. Click on any of the images to view full size.

  1. Starting concentration of 95 Yf1 molecules (Gillespie)

    2. (Left) Constant light at 0.4291 micromoles per square meter; (Right) Constant light at 4.291 micromoles per square meter
     yDD (Dark-Dark state); yDL/LD (Dark-Light state); yLL (Light-Light state)

  2. Starting concentration of 948 Yf1 molecules (Gillespie)

    3. (Left) Constant light at 0.4291 micromoles per square meter; (Right) Constant light at 4.291 micromoles per square meter
     yDD (Dark-Dark state); yDL/LD (Dark-Light state); yLL (Light-Light state)

  3. Starting concentration of 95 and 948 Yf1 molecules (deterministic)

    4. (Left) Starting concentration of 95 Yf1 molecules; (Right) Starting concentration of 948 FixJ molecules
     yDD (Dark-Dark state); yDL/LD (Dark-Light state); yLL (Light-Light state)