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Table 2 Intercellular contact dynamics.

From: From pathway to population – a multiscale model of juxtacrine EGFR-MAPK signalling

 

Species

Rate equation

Constants

Refs

6

xab

d x a b d t = σ MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqWGKbazcqWG4baEdaWgaaqaaiabdggaHjabdkgaIbqabaaabaGaemizaqMaemiDaqhaaOGaeyypa0Jaeq4Wdmhaaa@378B@

σ = 3.5/60

μm min-1

[18]

7

R0A

d [ R 0 A ] d t = c n t = 1 n Ω A . π . z A B σ . [ R 0 ] A 4 S A 0 A k e [R0 A ] + k Rsyn [ S A 0 A ] 4 S A A MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqWGKbazcqGGBbWwcqWGsbGucqaIWaamdaWgaaqaaiabdgeabbqabaGaeiyxa0fabaGaemizaqMaemiDaqhaaOGaeyypa0JaeyOeI0YaaabCaeaacqqHPoWvdaWgaaWcbaGaemyqaeeabeaaaeaacqWGJbWycqWGUbGBcqWG0baDcqGH9aqpcqaIXaqmaeaacqWGUbGBa0GaeyyeIuoajuaGdaWcaaqaaiabc6caUiabec8aWjabc6caUiabdQha6naaBaaabaGaemyqaeKaemOqaieabeaacqaHdpWCcqGGUaGlcqGGBbWwcqWGsbGucqaIWaamcqGGDbqxdaWgaaqaaiabdgeabbqabaaabaGaeGinaqJaem4uamLaemyqaeKaeGimaaZaaSbaaeaacqWGbbqqaeqaaaaaiiaakiab=jHiTiabbUgaRnaaBaaaleaacqqGLbqzaeqaaOGaee4waSLaeeOuaiLaeeimaaZaaSbaaSqaaiabbgeabbqabaGccqqGDbqxcqGHRaWkjuaGdaWcaaqaaiabbUgaRnaaBaaabaGaeeOuaiLaee4CamNaeeyEaKNaeeOBa4gabeaacqGGBbWwcqWGtbWucqWGbbqqcqaIWaamdaWgaaqaaiabdgeabbqabaGaeiyxa0fabaGaeGinaqJaem4uamLaemyqae0aaSbaaeaacqWGbbqqaeqaaaaaaaa@77A6@

  

8

SA0A

d [ S A 0 ] A d t c n t = 1 n Ω A . π . z A B σ 4 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqWGKbazcqGGBbWwcqWGtbWucqWGbbqqcqaIWaamdaWgbaqaaiabdgeabbqabaGaeiyxa0fabaGaemizaqMaemiDaqhaaOGaeyOeI0YaaabCaeaacqqHPoWvdaWgaaWcbaGaemyqaeeabeaaaeaacqWGJbWycqWGUbGBcqWG0baDcqGH9aqpcqaIXaqmaeaacqWGUbGBa0GaeyyeIuoajuaGdaWcaaqaaiabc6caUiabec8aWjabc6caUiabdQha6naaBaaabaGaemyqaeKaemOqaieabeaacqaHdpWCaeaacqaI0aanaaaaaa@4F60@

  

9

LOB

d [ L 0 B ] d t c n t = 1 m Ω B . π . z A B σ . [ L 0 ] B 4 S A 0 B  -k clv [L0 B ] + k Lsyn [ S A 0 B ] 4 S A B MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=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@7A02@

  

10

SA0B

d [ S A 0 B ] d t c n t = 1 m Ω B . π . z A B σ 4 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqWGKbazcqGGBbWwcqWGtbWucqWGbbqqcqaIWaamdaWgaaqaaiabdkeacbqabaGaeiyxa0fabaGaemizaqMaemiDaqhaaOGaeyOeI0YaaabCaeaacqqHPoWvdaWgaaWcbaGaemOqaieabeaaaeaacqWGJbWycqWGUbGBcqWG0baDcqGH9aqpcqaIXaqmaeaacqWGTbqBa0GaeyyeIuoajuaGdaWcaaqaaiabc6caUiabec8aWjabc6caUiabdQha6naaBaaabaGaemyqaeKaemOqaieabeaacqaHdpWCaeaacqaI0aanaaaaaa@4F61@

  
  1. Rate equations relating to length of intercellular contact and numbers of receptors and ligands not associated with regions of contact.