Slides: https://www.andreashandel.com/presentations/
2023-06-15
Left: H1N1 vaccine, Right: H5N1 vaccine. Zarnitsyna et al 2015 Phil Trans B.
x-axis: titer increase. Left: H1N1, Right: H3N2. Moritzky et al 2023 JID.
Zarnitsyna et al 2015 Phil Trans B, 2016 Plos Path.
Extension of the model can be used to explore predictions for heterologous response.
\[ \begin{aligned} \textrm{free antigen (type 1)} \qquad \dot{H_f} & = - k_1 A_1 H_f - k_2 A_2 H_f - d_f H_f \\ \textrm{bound antigen (type 1)} \qquad \dot{H_b} & = k_1 A_1 H_f + k_2 A_2 H_f - d_b H_b \\ \textrm{B-cell type 1} \qquad \dot{B_1} & = \frac{s_1 B_1 H_f}{p_1 + H_f} \\ \textrm{antibody type 1} \qquad \dot{A_1} & = g_1 B_1 -k_1 A_1 H_f - d_1 A_1\\ \textrm{B-cell type 2} \qquad \dot{B_2} & = \frac{s_2 B_2 H_f}{p_2 + H_f} \\ \textrm{antibody type 2} \qquad \dot{A_2} & = g_2 B_2 -k_2 A_2 H_f - d_2 A_2 \\ \end{aligned} \]
With \(k_2 = k_1(1-AD)\), \(s_2 = s_1(1-AD)\)
Extension of the model can be used to explore predictions for heterologous response for different antigenic distance (AD).
Pattern also seen for CD4 T-cells.
x-axis: titer increase. Left: H1N1, Right: H3N2. Moritzky et al 2023 JID.
No impact other than pre-vaccine antibodies?
x-axis: titer increase. Teal: unvaccinated, Orange: previously vaccinated. Left: H1N1, Right: H3N2. Moritzky et al 2023 JID.