The generic temperature response of large biochemical networks
arxiv(2024)
摘要
Biological systems are remarkably susceptible to relatively small temperature
changes. The most obvious example is fever, when a modest rise in body
temperature of only few Kelvin has strong effects on our immune system and how
it fights pathogens. Another very important example is climate change, when
even smaller temperature changes lead to dramatic shifts in ecosystems.
Although it is generally accepted that the main effect of an increase in
temperature is the acceleration of biochemical reactions according to the
Arrhenius equation, it is not clear how it effects large biochemical networks
with complicated architectures. For developmental systems like fly and frog, it
has been shown that the system response to temperature deviates in a
characteristic manner from the linear Arrhenius plot of single reactions, but a
rigorous explanation has not been given yet. Here we use a graph theoretical
interpretation of the mean first passage times of a biochemical master equation
to give a statistical description. We find that in the limit of large system
size and if the network has a bias towards a target state, then the Arrhenius
plot is generically quadratic, in excellent agreement with experimental data
for developmental times in fly and frog.
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