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Table 2 The biochemical reactions involved in the heat shock response model, adapted from [24]

From: Modeling biological systems with uncertain kinetic data using fuzzy continuous Petri nets

Species

Description

r1(r2):

\(2hsf\underset {{{k}_{1m}}}{\overset {{{k}_{1p}}}{\rightleftharpoons }}hs{{f}_{2}}\)

r3(r4):

\(hsf+hs{{f}_{2}}\underset {{{k}_{2m}}}{\overset {{{k}_{2p}}}{\rightleftharpoons }}hs{{f}_{3}}\)

r5(r6):

\(hs{{f}_{3}}+hse\underset {{{k}_{3m}}}{\overset {{{k}_{3p}}}{\rightleftharpoons }}hs{{f}_{3}}\_hse\)

r7:

\(hs{{f}_{3}}\_hse\xrightarrow {{{k}_{4}}}hs{{f}_{3}}\_hse+hsp\)

r8(r9):

\(hsp+hsf\underset {{{k}_{5m}}}{\overset {{{k}_{5p}}}{\rightleftharpoons }}hsp\_hsf\)

r10:

\(hsp+hs{{f}_{2}}\xrightarrow {{{k}_{6}}}hsp\_hsf+hsf\)

r11:

\(hsp+hs{{f}_{3}}\xrightarrow {{{k}_{7}}}hsp\_hsf+2hsf\)

r12:

\(hsp+hs{{f}_{3}}\_hse\xrightarrow {{{k}_{8}}}hsp\_hsf+hse+2hsf\)

r13:

\(hsp\xrightarrow {{{k}_{9}}}\)

r14:

\(prot\xrightarrow {{{k}_{10}}}mfp\)

r15(r16):

\(hsp+mfp\underset {{{k}_{11m}}}{\overset {{{k}_{11p}}}{\rightleftharpoons }}hsp\_mfp\)

r17:

\(hsp\_mfp\xrightarrow {{{k}_{12}}}hsp+prot\)

  1. See Table 4 for the values of the kinetic parameters