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Team:HZAU-China/Modeling/Immune responce
From 2013.igem.org
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<p style="font-size:16px;font-family:arial, sans-serif;">Suppose <i>N</i> is the concentration of the antigen (glycoprotein) and <i>A</i> is the concentration of the antibody. Assume that the rate of B lymphocyte secreting antibody is <i>f(N)</i>.If the amount of antigen is small, <i>f(N)</i> is approximate to βN where is a parameter. Suppose that the growth rate of the antigen is αN and the mortality rate of the antigen is subject to mass interaction law with antiboby, then, the change rate of antigen with time can be expressed as:</p> | <p style="font-size:16px;font-family:arial, sans-serif;">Suppose <i>N</i> is the concentration of the antigen (glycoprotein) and <i>A</i> is the concentration of the antibody. Assume that the rate of B lymphocyte secreting antibody is <i>f(N)</i>.If the amount of antigen is small, <i>f(N)</i> is approximate to βN where is a parameter. Suppose that the growth rate of the antigen is αN and the mortality rate of the antigen is subject to mass interaction law with antiboby, then, the change rate of antigen with time can be expressed as:</p> | ||
| - | <p style="font-size:16px;font-family:arial, sans-serif;text-align:center;"><i>N=αN-κAN | + | <p style="font-size:16px;font-family:arial, sans-serif;text-align:center;"><i>N=αN-κAN " " (1)</i></p> |
| + | <p style="font-size:16px;font-family:arial, sans-serif;">where κ is parameter. </p> | ||
| - | |||
<p style="font-size:16px;font-family:arial, sans-serif;">段落</p> | <p style="font-size:16px;font-family:arial, sans-serif;">段落</p> | ||
<p style="font-size:16px;font-family:arial, sans-serif;">段落</p> | <p style="font-size:16px;font-family:arial, sans-serif;">段落</p> | ||
Revision as of 14:19, 25 September 2013
Aim:
To know how much glycoprotein could cause the immune response to generate adequate levels of antibody.
Steps:
1. Build the model;
2. Determine the parameters;
3. Simulate and analyze the results.
Background:
In mammals, when foreign materials are detected in the body, B cells transform into B lymphocytes that could secrete antibodies. B cells could also proliferate itself and antibodies are produced by the stimulation of specific antigens.
Most of the antigens cannot proliferate, so they will be cleaned by the immune system quickly. But here our glycoprotein is proliferative, and it is possible for it to ultimately reach a steady value.
Suppose N is the concentration of the antigen (glycoprotein) and A is the concentration of the antibody. Assume that the rate of B lymphocyte secreting antibody is f(N).If the amount of antigen is small, f(N) is approximate to βN where is a parameter. Suppose that the growth rate of the antigen is αN and the mortality rate of the antigen is subject to mass interaction law with antiboby, then, the change rate of antigen with time can be expressed as:
N=αN-κAN " " (1)
where κ is parameter.
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