Question Number 207139 by Wuji last updated on 07/May/24
$$ \\ $$$$\mathrm{Two}\:\mathrm{proteins}\:\left(\mathrm{x\&y}\right)\:\mathrm{control}\:\mathrm{each} \\ $$$$\mathrm{other}\:\mathrm{through}\:\mathrm{mutual}\:\mathrm{repression}.\:\mathrm{the} \\ $$$$\mathrm{dynamic}\:\mathrm{model}\:\mathrm{for}\:\mathrm{the}\:\mathrm{system}\:\mathrm{consists}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{following}\:\mathrm{system}\:\mathrm{of}\:\mathrm{ODEs}. \\ $$$$\mathrm{calculate}\:\mathrm{the}\:\mathrm{steady}\:\mathrm{state}\:\mathrm{values}\:\mathrm{of}\:\mathrm{these}\:\mathrm{two}\:\mathrm{peoteins}.\: \\ $$$$\mathrm{comment}\:\mathrm{of}\:\mathrm{the}\:\mathrm{stabilityof}\:\mathrm{the}\:\mathrm{steady}\:\mathrm{state} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{type}\:\mathrm{of}\:\mathrm{phase}\:\mathrm{of}\:\mathrm{portrait}\:\mathrm{expected}\:\mathrm{foe}\:\mathrm{this} \\ $$$$\mathrm{system}.\:\mathrm{consider}\:\mathrm{x},\mathrm{y}\geqslant\mathrm{0} \\ $$$$\frac{\mathrm{dx}}{\mathrm{dt}}=\frac{\mathrm{y}}{\mathrm{1}+\mathrm{y}}−\mathrm{2x}\:\:\:\frac{\mathrm{dy}}{\mathrm{dt}}=\frac{\mathrm{x}}{\mathrm{1}+\mathrm{x}}−\mathrm{y} \\ $$
Answered by Berbere last updated on 07/May/24
$${too}\:{complecated}\:\:{to}\:{read}\:{Your}\:{poste} \\ $$$${police}\:{Too}\:{big} \\ $$
Commented by Wuji last updated on 07/May/24
$$\mathrm{you}\:\mathrm{can}\:\mathrm{click}\:\mathrm{on}\:\mathrm{fit}\:\mathrm{width}\:\mathrm{to}\:\mathrm{read}\:\mathrm{clear},\:\mathrm{sir} \\ $$
Commented by mr W last updated on 07/May/24
Commented by mr W last updated on 07/May/24
$$“{fit}\:{width}''\:{doesn}'{t}\:{work}\:{when} \\ $$$${commenting}\:{or}\:{answering}\:{a}\:{post}. \\ $$$$ \\ $$$${please}\:{use}\:{default}\:{font}\:{size}\:\mathrm{20}. \\ $$$${please}\:{use}\:{line}\:{breaks}. \\ $$
Commented by Wuji last updated on 07/May/24
$$\mathrm{please},\:\mathrm{sir}.\:\mathrm{how}\:\mathrm{can}\:\mathrm{i}\:\mathrm{make}\:\mathrm{it}\:\mathrm{looks}\: \\ $$$$\mathrm{nlrmal}.\:\mathrm{i}\:\mathrm{have}\:\mathrm{put}\:\mathrm{the}\:\mathrm{font}\:\mathrm{size}\:\mathrm{to}\:\mathrm{20} \\ $$
Commented by mr W last updated on 07/May/24
$${this}\:{looks}\:{normal}\:{now}.\:{thanks}! \\ $$