Lecture 16 Protein and Nucleic acid binding Announce: bio/phys seminar today at 3:00 hand out assessment forms – please fill out over the weekend and return to... Remember that Polik will lecture on Wed. Homework is due, but no discussion. This wouldn’t be a bad time to get together as a group to discuss homework. Next homework set will be posted sometime today or over the weekend. You must look it up, it won’t be handed out. Outline: Single <==> double stranded DNA Actinomycin - DNA complex energy conversion in photosynthesis/respiration Review: Maxwell relations are a mixture of fundamental thermodynamic relations and the exact differential of an energy function. e.g. dG = -SdT + Vdp this implies G(T,p)... so remember from two times ago, this showed that Drawing on the fact that dG must be an exact differential gives us the Maxwell relation Finally, we finished up by talking about entropy driven processes such as protein binding. Two proteins hook together to form one – but entropy increases, because hydrophobic surface is reduced. Note that this is not true for all binding, but it is common. In these cases, binding increases as T goes up. 1 Nucleic acid binding: Last time we talked about how solvent entropy can favor the attraction of hydrophobic things to each other. Do you think this is the case for nucleic acid binding? Probably not, because nucleic acids are very polar. Let’s consider the single strand ö double strand DNA reaction. What do we expect for ∆S? Solvent interacts favorably with polar single strands, so there should be little push toward binding. Consequently, ∆S negative for single ö double strand So, how does binding occur? ∆H must be negative. What drives negative ∆H? H-bonding seems likely Anyone heard of Chargaff’s rule? It says that χA = χT and χC = χG. This came from experimental evidence, but we know now that the molecular basis of this rule is? Watson-Crick base pairing. Each hydrogen bond accounts for roughly 5 kJ/mol of favorable electrostatic interaction (relative to interaction with water) But this is only about 1/3 of the total ∆H. What is the other 2/3? Base stacking – dispersive interactions So, ∆G = ∆H - T∆S ∆H - -35 kJ/mol/base pair ∆S - -88 J/K@mol/base pair What happens at high temp? *T∆S* > *∆H* ö ∆G is positive and DNA is all single strand What about low temp? *T∆S* < *∆H* ö ∆G is negative and DNA is all double strand The details of this transition are in the next homework set, but I can give away that ∆G is negative at normal body temperature. 2 Let’s look at a slightly different DNA binding event in detail. Actinomycin - DNA complex What is actinomycin? chemotherapy drug – not surprisingly it has severe side effects. Why? It is not at all selective. In fact it is a terrible poison, but it kills tumor cells slightly more effectively than healthy cells Anyone know how it works? It blocks transcription by plugging up and distorting the DNA. Because tumor cells reproduce faster they are more susceptible to damaging the transcription machinery. It forms hydrogen bonds to guanine and it intercalates into its aromatic ring. (show nice chime webpage from UCSF) Binding is enthalpy-driven. Entropy is actually positive for binding (the aromatic ring system is fairly hydrophobic) but is a much smaller effect than enthalpy at room temperature. Energy Flow Photosynthesis makes carbohydrates as follows: 6CO2(g) + 6H2O(l) ö 6O2 (g) + C6H12O6(s) ∆G = + 2870 kJ/mol With huge positive ∆G, how does this reaction happen? Energy is put into the system from photons. (I really left out one of the reactants.) How many photons does it take to provide this amount of energy? roughly 16 photons per glucose. More properly then, 6CO2(g) + 6H2O(l) + 16hν ö 6O2 (g) + C6H12O6(s) 3 (You should know that this doesn't happen directly and it really takes more than 16 photons. The photons and H2O are used to convert ADP to ATP and then that ATP with CO2 is used to make glucose, so the perfect single-step energy conversion suggested above doesn't really happen.) Now, this weekend you can go apple picking and eat some of the yummy glucose. What does your body do with it? Uses it to convert ADP to ATP, which is easily transported around the body. C6H12O6(s) + 6O2 (g) ö 6CO2(g) + 6H2O(l) 36 × ( ADP3-(aq) + H2PO4-(aq) ö ATP4-(aq) + H2O(l) ) burning glucose releases 2870 kJ/mol of free energy making each ATP requires 30.6 kJ/mol If ATP is stable on its own, then we know the bond formation is favorable – exothermic. How is it that the ADP reaction above has ∆G > 0? Because there is also the H3PO4 and H2O. The total ∆G for the reaction is positive. Part of the reason for this is that the last phosphate bond is pretty weak. Electrostatics and solvation play big roles in this. Note that -2870 kJ/mol + 36*(30.6) kJ/mol = -1770 kJ/mol We loose quite a bit of energy along the way to make sure that each little step is spontaneous. The key detail here is that the body has coupled the exergonic glucose oxidation reaction with the endergonic ADP ö ATP reaction. The overall reaction is exergonic and happens spontaneously (and rapidly). Later on we can couple the exergonic ATP ö ADP reaction with other processes (like raising your arm) to make the overall reactions spontaneous. 4
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