Difference between revisions of "Team:XMU-China/Model"

Revision as of 09:59, 20 October 2019 (view source) JY Zheng (Talk | contribs) ← Older edit		Revision as of 10:01, 20 October 2019 (view source) JY Zheng (Talk | contribs) Newer edit →
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	<img class="top_image" src="https://static.igem.org/mediawiki/2019/a/ac/T--XMU-China--model.png">		<img class="top_image" src="https://static.igem.org/mediawiki/2019/a/ac/T--XMU-China--model.png">
	</div>		</div>
		+	<script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
		+	<script type="text/x-mathjax-config">
		+	MathJax.Hub.Config({
		+	tex2jax: {inlineMath: [['$', '$']]},
		+	messageStyle: "none"
		+	});
		+	</script>
		+
		+
		+	According to this, the dynamic equation can be listed:
		+
		+	$$\frac{\mathrm{d}[C_{in}U]}{\mathrm{d}t}=k_{+6}*[C_{in}]*[U]-k_{-6}*[C_{in}U]\eqno{(2.2.1)}$$
		+
		+	$$\frac{\mathrm{d}[P_{active}]}{\mathrm{d}t}=k_{+6}*[P_{active}]*[C_{in}U]-k_{-6}*[P_{active}]\eqno{(2.2.2)}$$
		+
		+	According to the law of conservation of materials:
		+
		+	$$[U_{tot}]=[U]+[C_{in}U]\eqno{(2.2.3)}$$
		+
		+	$$[P_{tot}]=[P_{unactive}]+[P_{active}]\eqno{(2.2.4)}$$
		+
		+	The form of equation (2.2.1) is exactly the same as that of equation (2.2.2), and the processing method is the same. Therefore, we only take equation (2.2.1) as an example to linearize and perform Laplace Transform on it.

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Revision as of 10:01, 20 October 2019

According to this, the dynamic equation can be listed: $$\frac{\mathrm{d}[C_{in}U]}{\mathrm{d}t}=k_{+6}*[C_{in}]*[U]-k_{-6}*[C_{in}U]\eqno{(2.2.1)}$$ $$\frac{\mathrm{d}[P_{active}]}{\mathrm{d}t}=k_{+6}*[P_{active}]*[C_{in}U]-k_{-6}*[P_{active}]\eqno{(2.2.2)}$$ According to the law of conservation of materials: $$[U_{tot}]=[U]+[C_{in}U]\eqno{(2.2.3)}$$ $$[P_{tot}]=[P_{unactive}]+[P_{active}]\eqno{(2.2.4)}$$ The form of equation (2.2.1) is exactly the same as that of equation (2.2.2), and the processing method is the same. Therefore, we only take equation (2.2.1) as an example to linearize and perform Laplace Transform on it.