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Part C-Cold dentauration In the lecture, we observed that the protein stability curve as described by the derived expression indicates that the native told of proteins is only stable in a temperature window, Le that denaturation not only occurs at high temperatures, but also at low temperatures (although the latter typically lies below the freezing temperature of water). Estimate the cold denaturation temperature of the proteins in this example. Note: Have a look into the Newton-Raphson method (https://en.wikipedia.org/wiki/Newton270 method) to numerically determine the roots x, of a function f(x), which satisy f(x)=0. Choose a starting temperature lower than the temperature of maximum stability. 5-6 iterations should provide you with a converged numerical result Provide your answer with 3 significant figures. The margin of error is 10%

Part C-Cold dentauration In the lecture, we observed that the protein stability curve as described by the derived expression indicates that the native told of proteins is only stable in a temperature window, Le that denaturation not only occurs at high temperatures, but also at low temperatures (although the latter typically lies below the freezing temperature of water). Estimate the cold denaturation temperature of the proteins in this example. Note: Have a look into the Newton-Raphson method (https://en.wikipedia.org/wiki/Newton270 method) to numerically determine the roots x, of a function f(x), which satisy f(x)=0. Choose a starting temperature lower than the temperature of maximum stability. 5-6 iterations should provide you with a converged numerical result Provide your answer with 3 significant figures. The margin of error is 10%

Biochemistry
Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
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hello! i need help with C please! I ALREADY HAVE A AND B!! A was 36.3 C and B was 79.7 protiens out of 1 million.
Part C- Cold dentauration In the lecture, we observed that the protein stability curve as described by the derived expression indicates that the native told of proteins is only stable in a temperature window, Le that denaturation not only occurs at high temperatures, but also at low temperatures (although the latter typically lies below the freezing temperature of water). Estimate the cold denaturation temperature of the proteins in this example. Note: Have a look into the Newton-Raphson method (https://en.wikipedia.org/wiki/Newton%27s_ method) to numerically determine the roots x, of a function fox), which satisy f(x)=0. Choose a starting temperature lower than the temperature of maximum stability. 5-6 iterations should provide you with a converged numerical result Provide your answer with 3 significant figures. The margin of error is 10% IVE ΑΣΦΑ Toold= Submit Request Answer ? C
Transcribed Image Text:Part C- Cold dentauration In the lecture, we observed that the protein stability curve as described by the derived expression indicates that the native told of proteins is only stable in a temperature window, Le that denaturation not only occurs at high temperatures, but also at low temperatures (although the latter typically lies below the freezing temperature of water). Estimate the cold denaturation temperature of the proteins in this example. Note: Have a look into the Newton-Raphson method (https://en.wikipedia.org/wiki/Newton%27s_ method) to numerically determine the roots x, of a function fox), which satisy f(x)=0. Choose a starting temperature lower than the temperature of maximum stability. 5-6 iterations should provide you with a converged numerical result Provide your answer with 3 significant figures. The margin of error is 10% IVE ΑΣΦΑ Toold= Submit Request Answer ? C
Learning Goal: Characterize protein stability curves as a function of temperature In the lecture we derived an expression that describes the free energy of unfolding for proteins as a function of temperature. This expression uses the unfolding/melting temperature of the protein Tm the enthalpy of unfolding AH(T) at the melting temperature, and the difference in the heat capacities ACp between the folded and unfolded proteins as parameters. These i parameters can be obtained from a standard differential scanning calorimetry experiment, for example. 4,0T)-A,H(Tm) (1-T/Tm) +ACp (T-Tm-Tin(T/Tm))) The main assumpion underlying this expression is that ACp can be considered as constant, Le. indepdenent of the temperature. Here, assume a protein with a melting/unfolding temperature of 78 "C, an enhtalpy of unfolding AH(Tm) of 400 kJ/mol and a ACp of 9 kJ/K mol). ▸ Part A - Temperature of maximum stability ▸ Part B - How many proteins are unfolded? Y Part C-Cold dentauration In the lecture, we observed that the protein stability curve as described by the derived expression indicates that the native fold of proteins is only stable in a temperature window, Le that denaturation not only occurs at high temperatures, but also at low temperatures (although the latter typically lies below the freezing temperature of water). Estimate the cold denaturation temperature of the proteins in this example. Note: Have a look into the Newton-Raphson method (https://en.wikipedia.org/wiki/Newton%27s_method) to numerically determine the roots x of a function to), which satisy 1-0. Choose a starting temperature lower than the temperature of maximum stability. 5-6 iterations should provide you with a converged numerical result Provide your answer with 3 significant figures. The margin of error is 10%.
Transcribed Image Text:Learning Goal: Characterize protein stability curves as a function of temperature In the lecture we derived an expression that describes the free energy of unfolding for proteins as a function of temperature. This expression uses the unfolding/melting temperature of the protein Tm the enthalpy of unfolding AH(T) at the melting temperature, and the difference in the heat capacities ACp between the folded and unfolded proteins as parameters. These i parameters can be obtained from a standard differential scanning calorimetry experiment, for example. 4,0T)-A,H(Tm) (1-T/Tm) +ACp (T-Tm-Tin(T/Tm))) The main assumpion underlying this expression is that ACp can be considered as constant, Le. indepdenent of the temperature. Here, assume a protein with a melting/unfolding temperature of 78 "C, an enhtalpy of unfolding AH(Tm) of 400 kJ/mol and a ACp of 9 kJ/K mol). ▸ Part A - Temperature of maximum stability ▸ Part B - How many proteins are unfolded? Y Part C-Cold dentauration In the lecture, we observed that the protein stability curve as described by the derived expression indicates that the native fold of proteins is only stable in a temperature window, Le that denaturation not only occurs at high temperatures, but also at low temperatures (although the latter typically lies below the freezing temperature of water). Estimate the cold denaturation temperature of the proteins in this example. Note: Have a look into the Newton-Raphson method (https://en.wikipedia.org/wiki/Newton%27s_method) to numerically determine the roots x of a function to), which satisy 1-0. Choose a starting temperature lower than the temperature of maximum stability. 5-6 iterations should provide you with a converged numerical result Provide your answer with 3 significant figures. The margin of error is 10%.
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