HainanU-China

  • Location:Haikou China
  • LOCAL TIME
  • Introduction
  • Model1 LLM-Driven Promoter ldentification
  • Research Background
  • Results and Discussion
  • Model interpretability analysis
  • Materials and methods
  • Contributions to Future Teams
  • Future Outlook
  • Reference
  • Model2 Mathematical Model for Predicting Bacterial Growth
  • Overview
  • Mathematical model
  • Reference
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    $$ \frac{dn}{dt} = r*n * (1 - \frac{n}{K}) $$
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    $$ \frac{dH}{dt} = a * n - b * H $$
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    $$ \frac{d𝑞}{𝑑𝑡} = [α_q+ α_q^∗ ∗ 𝐹(H)] ∗ 𝑛 − γ_q ∗ q $$
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    $$ F(x) = \frac{x^m}{x_c^m + x^m} $$
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    $$ f(q) = F(q) * γ * n $$
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    $$ Y = Y_0 + Y_{max} - ln\{e ^ {Y_{0}} + [e ^ {Y_{max}} - e ^ {Y_0}]e ^ {-μ_{max}^{B(t)}}\} $$
     
    $$ B(t) = t + \frac{1}{a}ln\frac{1 + e^{-α(t-λ)}}{1+e^{aλ}} $$
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    $$ \frac{dn1}{dt} = r*n1 * (1 - \frac{n1 + α*n2}{K}) $$
     
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    $$ \frac{dn1}{dt} = r*n1 * (1 - \frac{n1 + α*n2}{K}) - m_i*n1 $$
     
    $$ m_i = m_i0 + di * ni ^δ ， δ ∈(0, ∞)∀i $$
     
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    $$ \frac{d𝑞}{𝑑𝑡} = \{α_q+ α_q^∗ ∗ 𝐹(H)* \frac{1}{2}[u(H) + u(H-x_c)]\} ∗ 𝑛 − γ_q ∗ q $$
     
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    $$ f(q , p) = F(q - c * p) * γ * n $$
     
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    $$ g(t) = ∫_0^T\{[1+0.2 * sgn(f1'(t))]f1(t) + [1+0.2 * sgn(f2'(t))]\}dt $$
     
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