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Figure 3 | BMC Systems Biology

Figure 3

From: Master equation simulation analysis of immunostained Bicoid morphogen gradient

Figure 3

Mean to variance correlation. (A) The noise strength (Fano factor) ν of simulated Bicoid molecular number gradient is defined as molecular variance var ( n ^ j ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGagiODayNaeiyyaeMaeiOCaiNaeiikaGIafmOBa4MbaKaadaWgaaWcbaGaemOAaOgabeaakiabcMcaPaaa@34B9@ divided by molecular mean 〈 n ^ j 〉 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaeyykJeUafmOBa4MbaKaadaWgaaWcbaGaemOAaOgabeaakiabgQYiXdaa@325E@ . The key indicates that parameters were obtained from (1) the high-variance ensemble of 89 embryos, (2) the low-variance ensemble of 17 embryos, and (3) the extreme condition of high diffusion rate D = 7890 (μ m2/s), decay rate ω = 1.0 (s-1) and synthesis rate J = 70000 (molecules/s). (B) As shown in the key, noise strength of simulated fluorescence intensity I ^ j = [ α n β _ ] MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGafmysaKKbaKaadaWgaaWcbaGaemOAaOgabeaakiabg2da9iabcUfaBnaaHaaabaacciGae8xSdeMaemOBa4Mae8NSdigacaGLcmaacqGGDbqxaaa@3780@ and rescaled gradient [ n ^ ] MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaei4waSLafmOBa4MbaKaacqGGDbqxaaa@2FC8@ were obtained using parameters from (1) the high-variance ensemble of 89 embryos and (2) the low-variance ensemble of 17 embryos.

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