Positive auto-regulation with a step function: In the textbook, you have learned about the usefulness...

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Positive auto-regulation with a step function: In the textbook, you have learned about the usefulness of negative auto-regulation (NAR). Can positive auto-regulation (PAR) be useful in any way? To answer this question, let us consider a step-function model for positive auto-regulation, in which the production of protein X is at level 0 when X K. The dilution/removal rate is . The ODE describing the concentration of protein X is

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Positive auto-regulation with a step function: In the textbook, you have learned about the usefulness of negative auto-regulation (NAR). Can positive auto-regulation (PAR) be useful in any way? To answer this question, let us consider a step-function model for positive auto-regulation, in which the production of protein X is at level 0 when X

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