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Can you please use the Cash-Karp method or any numerical method to solve the following system of ordinary differential equations in Matlab. If possible could

Can you please use the Cash-Karp method or any numerical method to solve the following system of ordinary differential equations in Matlab. If possible could you use the parameters I have in the other picture and can assign a value for any other variables that dont have a value assigned to them. Can you also start at time = 0 and go to any time value and provide psuedocode. I will give thumbs up for a good explanation. Thanks.

image text in transcribed

image text in transcribed

d kts TSR. DNA -mRNA = -OmRNA mRNA dt K + DNA d ku TIR: mRNA -GFP= kmat GFP dt Ki + mRNA d GFP* = kmat. GFP dt d TSR = - kes TSRDNA dt K + DNA d STIR TIR TIR dt Krir + TIR kts Parameter Model result 18.2 nM/min = 2.2 NTP/S kt 16.1 nM/min = 0.03 aa/s 1.1. 10-2 7.8. 10-4min 4.5 . 10-3/min K 8.5 nM K 65.8 nM KTIR 6. 10-5 kcs OmRNA STIR d kts TSR. DNA -mRNA = -OmRNA mRNA dt K + DNA d ku TIR: mRNA -GFP= kmat GFP dt Ki + mRNA d GFP* = kmat. GFP dt d TSR = - kes TSRDNA dt K + DNA d STIR TIR TIR dt Krir + TIR kts Parameter Model result 18.2 nM/min = 2.2 NTP/S kt 16.1 nM/min = 0.03 aa/s 1.1. 10-2 7.8. 10-4min 4.5 . 10-3/min K 8.5 nM K 65.8 nM KTIR 6. 10-5 kcs OmRNA STIR

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