From: From pathway to population – a multiscale model of juxtacrine EGFR-MAPK signalling
Species
Rate Equation
Constants
Ref
1
RA
d[R A ] dt = − k 1 [R A ][L B ] + k − 1 [RL A ] − k e [R A ] + k Rsyn . π . x A B . z A B 4 S A A + Ω A B . π . z A B σ . [ R 0 ] A 4 S A 0 A MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqqGKbazcqqGBbWwcqqGsbGudaWgaaqaaiabbgeabbqabaGaeiyxa0fabaGaeeizaqMaeeiDaqhaaOGaeyypa0dccaGae8NeI0IaeeiiaaIaee4AaS2aaSbaaSqaaiabbgdaXaqabaGccqqGBbWwcqqGsbGudaWgaaWcbaGaeeyqaeeabeaakiabb2faDjabbUfaBjabbYeamnaaBaaaleaacqqGcbGqaeqaaOGaeeyxa0Laey4kaSIaee4AaS2aaSbaaSqaaiab=jHiTiabbgdaXaqabaGccqqGBbWwcqqGsbGucqqGmbatdaWgaaWcbaGaeeyqaeeabeaakiabb2faDjab=jHiTiabbUgaRnaaBaaaleaacqqGLbqzaeqaaOGaee4waSLaeeOuai1aaSbaaSqaaiabbgeabbqabaGccqqGDbqxcqGHRaWkjuaGdaWcaaqaaiabbUgaRnaaBaaabaGaeeOuaiLaee4CamNaeeyEaKNaeeOBa4gabeaacqGGUaGlcqaHapaCcqGGUaGlcqWG4baEdaWgaaqaaiabdgeabjabdkeacbqabaGaeiOla4IaemOEaO3aaSbaaeaacqWGbbqqcqWGcbGqaeqaaaqaaiabisda0iabdofatjabdgeabnaaBaaabaGaemyqaeeabeaaaaGccqGHRaWkcqqHPoWvdaWgaaWcbaGaemyqaeKaemOqaieabeaajuaGdaWcaaqaaiabc6caUiabec8aWjabc6caUiabdQha6naaBaaabaGaemyqaeKaemOqaieabeaacqaHdpWCcqGGUaGlcqGGBbWwcqWGsbGucqaIWaamcqGGDbqxdaWgaaqaaiabdgeabbqabaaabaGaeGinaqJaem4uamLaemyqaeKaeGimaaZaaSbaaeaacqWGbbqqaeqaaaaaaaa@8A48@
k1 = 3 × 10-4
k-1 = 0.23
ke = 0.03
kRsyn = 300
[25]
[31]
2
LB
d[L B ] dt = − k 1 [R A ][L B ] + k − 1 [RL A ] − k clv [L B ] + k Lsyn . π . x A B . z A B 4 S A B + Ω A B . π . z A B σ . [ L 0 ] B 4 S A 0 B MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqqGKbazcqqGBbWwcqqGmbatdaWgaaqaaiabbkeacbqabaGaeiyxa0fabaGaeeizaqMaeeiDaqhaaOGaeyypa0dccaGae8NeI0Iaee4AaS2aaSbaaSqaaiabbgdaXaqabaGccqqGBbWwcqqGsbGudaWgaaWcbaGaeeyqaeeabeaakiabb2faDjabbUfaBjabbYeamnaaBaaaleaacqqGcbGqaeqaaOGaeeyxa0Laey4kaSIaee4AaS2aaSbaaSqaaiab=jHiTiabbgdaXaqabaGccqqGBbWwcqqGsbGucqqGmbatdaWgaaWcbaGaeeyqaeeabeaakiabb2faDjab=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@8C29@
kLclv = 0.005
kLsyn = 250
[31–33]
3
RLA
d[RL A ] dt = k 1 [R A ][L B ] − k − 1 [RL A ] − 2k 2 [ R L A ] [ R L A ] + 2 k − 2 [ R L 2 A ] MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqqGKbazcqqGBbWwcqqGsbGucqqGmbatdaWgaaqaaiabbgeabbqabaGaeiyxa0fabaGaeeizaqMaeeiDaqhaaOGaeyypa0Jaee4AaS2aaSbaaSqaaiabbgdaXaqabaGccqqGBbWwcqqGsbGudaWgaaWcbaGaeeyqaeeabeaakiabb2faDjabbUfaBjabbYeamnaaBaaaleaacqqGcbGqaeqaaOGaeeyxa0LaeyOeI0Iaee4AaS2aaSbaaSqaaGGaaiab=jHiTiabbgdaXaqabaGccqqGBbWwcqqGsbGucqqGmbatdaWgaaWcbaGaeeyqaeeabeaakiabb2faDjab=jHiTiabbkdaYiabbUgaRnaaBaaaleaacqqGYaGmaeqaaOGaei4waSLaemOuaiLaemitaW0aaSbaaSqaaiabdgeabbqabaGccqGGDbqxcqGGBbWwcqWGsbGucqWGmbatdaWgaaWcbaGaemyqaeeabeaakiabc2faDjabgUcaRiabikdaYiabdUgaRnaaBaaaleaacqGHsislcqaIYaGmaeqaaOGaei4waSLaemOuaiLaemitaWKaeGOmaiZaaSbaaSqaaiabdgeabbqabaGccqGGDbqxaaa@6ADB@
k2 = 0.001
k_2 = 6.0
[15]
4
RL2A
d[RL2 A ] dt = 2k 2 [ R L A ] [ R L A ] − 2 k − 2 [ R L 2 A ] − k 3 [ R L 2 A ] + k − 3 [ R P A ] MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=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@692F@
k3 = 60
k_3 = 0.6
5
RPA
d[RP A ] dt = k 3 [ R L 2 A ] − k − 3 [ R P A ] − V 4 [ R P A ] K 4 + [ R P A ] − k int [ R P A ] MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=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@6B55@
V4 = 2.3 × 106
K4 = 3 × 104
kint = 0.19