Biochemistry 162 Exam 2 Notes PDF
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These notes summarize key concepts from Biochemistry 162 Exam 2, focusing on topics like myoglobin, hemoglobin, cooperativity, and the effects of pH and CO2 on oxygen binding. They explain how oxygen transport in the body works and address related topics.
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***[Biochemistry 162: Exam 2 -- Notes]*** ***[5.2 -- Myoglobin ]*** **[Globins are oxygen-binding proteins]** - Protein side chains lack affinity for O~2~ - Some transition metals bind O~2~ well but would generate **free radicals** if free in solution. - Organometallic compounds such...
***[Biochemistry 162: Exam 2 -- Notes]*** ***[5.2 -- Myoglobin ]*** **[Globins are oxygen-binding proteins]** - Protein side chains lack affinity for O~2~ - Some transition metals bind O~2~ well but would generate **free radicals** if free in solution. - Organometallic compounds such as heme are more suitable, but Fe^2+^ in free heme could be oxidized to Fe^3+^. - Solution - Capture the oxygen molecule with heme that is protein bound. - Myoglobin is the main oxygen storage protein. - Hemoglobin is a circulating oxygen-binding protein. **[Could myoglobin transport O~2~?]** - pO~2~ in lungs is about 13 kPa: It sure binds oxygen well - pO~2~ in tissues is about 4 kPa: It will **not** release it. - Would lowering the affinity (P~50~) of myoglobin to oxygen help? **[For effective transport affinity must vary with pO~2~]** - Transport protein must: - Bind oxygen tightly at high concentration (lungs) - Bind oxygen weakly at low concentration (tissues) - Can only be achieved if the affinity changes with oxygen concentration. - Enter: **Hemoglobin.** - A diagram of a state Description automatically generated ***[5.3 -- Cooperativity]*** **[How can affinity to oxygen change? ]** - Must be a protein with multiple **binding sites.** - Binding sites must be able to **interact with each other.** - This phenomenon is called **cooperativity** - Positive cooperativity - First binding event increases affinity at remaining sites - **Recognized by sigmoidal binding curves** - Negative cooperativity - First binding event reduces affinity at remaining sites. - Alcohol dehydrogenase, GAP dehydrogenase - Sites "fire" alternately; unclear what the advantage is - **Binding proteins** and **enzymes** can be cooperative **[Model of Positive Cooperativity]** - Empty protein has 2 binding sites - Binding of ligand at one site causes other site to become less wiggly - Second site is better able to bind the second ligand. ![A diagram of a binding structure Description automatically generated with medium confidence](media/image2.png) **[Cooperativity: Quantitative Description]** - Cooperative proteins have multiple ligand-binding sites - [*P* + *nL* ↔ *PL*~*n*~]{.math.inline} - So K~a~ becomes: - K~a~ = [\$\\frac{\\lbrack PL\_{n}\\rbrack}{\\left\\lbrack P \\right\\rbrack\\left\\lbrack L \\right\\rbrack\^{n}}\$]{.math.inline} - And θ becomes: - θ = = [\$\\frac{\\left\\lbrack L \\right\\rbrack\^{n}}{\\left\\lbrack L \\right\\rbrack\^{n} + K\_{d}}\$]{.math.inline} - Taking the log of both sides gives the **Hill Equation:** - Log[\$(\\frac{\\theta}{1\\ --\\ \\theta\\ })\$]{.math.inline} = nlog\[L\] -- logK~d~ - n = the Hill Coefficient (the degree of cooperativity) - n = 1 No cooperativity - n \> 1 Positive cooperativity - n \< 1 Negative cooperativity **[The Hill Plot of Cooperativity: ]** - At low oxygen, Hemoglobin behaves as a monomer that binds weakly. - At medium oxygen, Hemoglobin transitions from low to high affinity. - At high oxygen, Hemoglobin behaves as a monomer that binds tightly. - n ≤ the number of binding sites A diagram of a graph Description automatically generated **[Two Model of Cooperativity: Concerted vs. Sequential:]** ![A diagram of a number of squares Description automatically generated with medium confidence](media/image4.png) **[Cooperativity is a special case of allosteric regulation: ]** - Allosteric protein - Binding of a ligand to one site affects the binding properties of a different site, on the same protein. - Can be positive or negative - Homotropic - Normal ligand of the protein is the allosteric regulator - Heterotropic - Different ligand affects binding of the normal ligand. - **Cooperativity = positive homotropic regulation.** ***[5.4 -- Hemoglobin ]*** **[Hemoglobin binds oxygen cooperatively]** - Hemoglobin (Hb) is a tetramer of 2 subunits (α2β2) - Each subunit is similar to myoglobin **[Sequence Similarity between Hemoglobin and Myoglobin]** A diagram of a dna structure Description automatically generated with medium confidence **[R and T States of Hemoglobin]** - T = **Tense** state - More interactions, more rigid - **Lower affinity** for O~2~ - R = **Relaxed** state - Fewer Interactions, more flexible - **Higher affinity** for O~2~ - O~2~ binding triggers a T R conformational change - Conformational change from the T state to the R state involves **breaking ion pairs** between the α1--β2 interface. - This constitutes the "communication" between subunits. ![A diagram of a structure Description automatically generated with medium confidence](media/image7.png) **[Subunit Interactions in Hemoglobin]** A diagram of a structure Description automatically generated **[T -- State Interactions]** ![A diagram of a structure Description automatically generated](media/image9.png) **[T -- State is stabilized by salt-bridges]** A diagram of a line with numbers and letters Description automatically generated with medium confidence **[Conformational change is triggered by oxygen binding ]** ![A diagram of a molecule Description automatically generated](media/image11.png) **[Spectroscopic Detection of Oxygen Binding to Myoglobin ]** - The heme group is a strong **chromophore** that absorbs both in ultraviolet and visible range. - Ferrous form **(Fe^2+^)** without oxygen has an intense Soret band at 429 nm. - Oxygen binding alters the electronic properties of the heme, and shifts the position of the Soret band to 414 nm. - **Binding of oxygen can be monitored by UV-Vis spectrophotometry.** - **Deoxyhemoglobin (in venous blood) appears purplish in color and oxyhemoglobin (in arterial blood) is red.** ***[5.5 -- Effect of pH and CO~2~]*** **[pH and CO~2~ affect O~2~ binding to Hb ]** A diagram of an anhydrate cell Description automatically generated **[Acid promotes oxygen release: Bohr Effect]** - Actively metabolizing tissues generate H^+^, lowering the pH of the blood near the tissues relative to the lungs. - Hemoglobin Affinity for oxygen depends on the pH - H^+^ binds to hemoglobin and stabilizes the T state - Protonates His146 which then forms a salt bridge with Asp94 - Leads to the release of O~2~ (in the tissues) - Each subunit does this -- so there are four "Bohr protons" - T**he pH difference between lungs and metabolic tissues increases efficiency of the O~2~ transport** - This is known as the **Bohr effect.** **[pH Effect on O~2~ Binding to Hemoglobin ]** - Curve shifts to the RIGHT when binding becomes weaker (more T-state) - Curve shifts to the LEFT when binding becomes tighter (more R-state) ![A diagram of ph and ph values Description automatically generated](media/image13.png) **[Lower pH increases O~2~ release ]** A diagram of a function Description automatically generated **[Hemoglobin and CO~2~ Export]** - CO~2~ is produced by metabolism in tissues and must be exported. - 15--20% of CO~2~ is exported in the form of a carbamate on the amino terminal residues of each of the polypeptide subunits. ![A black and white image of a chemical formula Description automatically generated](media/image15.png) - **Notice:** - **The formation of a carbamate yields a proton which can contribute to the Bohr Effect.** - **The carbamate forms additional salt bridges stabilizing the T-state** - The rest of the CO~2~ is exported as dissolved bicarbonate. - Formed by carbonic anhydrase, and also producing a proton **[CO~2~ drives O~2~ release even further]** A diagram of a diagram of different types of saturation Description automatically generated with medium confidence ***[5.6 -- 2,3,-BPG and Hemoglobin ]*** - 2,3-Bisphosphoglycerate Regulates O~2~ Binding - Negative heterotropic regulator of Hemoglobin function. - Present at mM concentrations in erythrocytes - Produced from an intermediate in glycolysis - Small negatively charged molecule, binds to the positively charged central cavity of Hemoglobin. - Stabilizes the T-state - ![A diagram of a chemical structure Description automatically generated](media/image17.png) **[2,3-BPG Binds to the Central Cavity of Hemoglobin]** A diagram of a b-state Description automatically generated ![A diagram of a molecule Description automatically generated](media/image19.png) The positively charged molecules are lining the binding pocket because BPG is a high negatively charged molecule **[What is the purpose of BPG and having a binding site? ]** - 2,3-BPG allows for O~2~ release in the tissues and adaptation to changes in altitude. - At sea level, pO~2~ is higher so Hemoglobin carries more O~2~ - At high altitude, pO~2~ is lower, so Hemoglobin carries less O~2~ - To compensate, cells produce more BPG at high altitudes to drive more Hemoglobin into the T-state - Although T-state binds O~2~ poorly, it releases O~2~ very well. - This adaptation allows time for more red blood cells to be made. A diagram of a sea level Description automatically generated ***[5.7 -- CO Poisoning and Sickle-Cell Anemia]*** **[Binding of Carbon Monoxide]** - CO has similar size and shape of O~2~; fits in same binding site - **CO binds** to heme over 20,000 times **better** than O~2~ because the carbon in CO has a filled lone electron paiur that can be donated to vacant d-orbitals on the Fe^2+^. - Protein pocket decreases affinity for CO, but it still binds about 250 times better to hemoglobin than oxygen. - CO is highly toxic as it competes with oxygen. It blocks the function of **myoglobin, hemoglobin, and mitochondrial cytochromes** that are involved in oxidative phosphorylation. ![A close-up of a line Description automatically generated](media/image21.png) **[Heme binding to protein affects CO vs. O~2~ binding ]** - CO binding to Hemoglobin has 2 effects: - Competes with O~2~ for Fe^2+^, so fewer binding sites available for O~2~ - This is not a problem if you have enough Hemoglobin or red blood cells - CO and O~2~ lock Hemoglobin into the R-state (high affinity for O~2~) - CO binds Hemoglobin tightly, other subunits remain in R-state despite low pH, CO~2~, and BPG: O~2~ not released. - Tissues starve while Hemoglobin holds O~2~ A diagram of a molecule Description automatically generated **[Sickle-cell anemia is due to a mutation in hemoglobin]** - Glu6 Val in the β chain of Hemoglobin - The new Valine side chain can bind to a different hemoglobin molecule to form a fiber - Fibers cause red blood cells to sickle; can't flow - Pain, anemia, infections. Untreated homozygous patients usually die young. Bone marrow transplant cures. - Heterozygous individuals exhibit a resistance to malaria. - Made worse by exertion (low O~2~ drives Hemoglobin into T-state, worsens fiber formation, leads to athlete sudden deaths when undiagnosed. **[Formation of Hemoglobin Strands in Sickle-Cell Anemia and a Cure]** - Possible cure for Sickle-cell in clinical trials - 2019 clinical trial of CRISPR gene therapy - Victoria Gray's bone marrow was removed, gene-edited in the lab to cause stem cells to produce fetal Hemoglobin, which binds O~2~ tightly and overcomes symptoms of Sickle Cell disease. - It works -- and it is a once-for-life treatment - Also works for other inherited Hemoglobin diseases, like β-thalassemia. ![Diagram of a diagram of a strand formation Description automatically generated](media/image23.png) 8. ***[-- Antibodies]*** **[Two Types of Immune Systems]** - Cellular immune system - Targets **own cells** that have been infected - Also clears up virus particles and infecting bacteria - **Key players: Macrophages, Killer T cells (T~c~), and inflammatory T cells (TH~1~).** - Humoral "fluid" immune system - Targets **extracellular** pathogens - Can also recognize foreign proteins - Make soluble **antibodies** - Keeps "memory" of past infections - **Key players: B-lymphocytes and Helper T-cells (TH~2~)** **[Cellular Immune System ]** - Antibodies bind to fragments displayed on the surface of invading cells. - Phagocytes: specialized cells that eat invaders - Macrophages: Large phagocytes that ingest bacteria that are tagged by antibodies **[Humoral Immune System]** - Vertebrates also fight infections with soluble antibodies that specifically bind **antigens**. - **Antigens** are substances that stimulate production of **antibodies** - Typically, macromolecular in nature - Recognized as foreign by the immune system - Coat proteins of bacteria and viruses - Surface carbohydrates of cells or viruses - **Antibodies** are proteins that are produced by B cells and specifically bind to antigens - Binding will mark the antigen for destruction or interfere with its function - A given antibody will bind to a small region (epitope) of the antigen - One antigen can have several epitopes **[Antibodies: Immunoglobulin G]** - Composed of 2 heavy chains and 2 light chains - Composed of constant domains and variable domains - Light chains: one constant and one variable domain - Heavy chains: three constant and one variable domain - Variable domains of each chain make up antigen-binding site (2 per antibody) - Variable domains contain regions that are hypervariable (specifically the antigen-binding site) - Confers high antigen specificity A diagram of a structure Description automatically generated![A diagram of a protein Description automatically generated](media/image26.png) **[Antigens bind via Induced fit]** - Antigen binding causes significant structural changes to the antibody A close-up of several molecules Description automatically generated **[Antibody specificity is an important analytical reagent]** ![A diagram of a dna sample Description automatically generated with medium confidence](media/image28.png) **[Antibody detection can be colormetric or luminescent]** ***[Question Time: ]*** ***[Chapter 5 -- ]*** - Binding Proteins - Saturation Curve - Cooperativity - Hill Plot - Hb + Mb: Regulation - SCD/Malaria ***[Chapter 6 -- ]*** ***[6.1 -- Enzyme Fundamentals]*** **[Chapter 6 Enzymes]** - Key topics about enzyme function: - Physiological significance of enzymes - Origin of catalytic power of enzymes - Chemical mechanisms of catalysis - Mechanisms of chymotrypsin and lysozyme - Description of enzyme kinetics and inhibition **[What are enzymes?]** - **Enzymes are catalysts** - **Increase reaction rates without being used up** - Most enzymes are globular portiens - However, some RNA (ribozymes; e.g., ribosomal RNA) alos catalyze reactions - Study of enzymatic processes is the oldest field of biochemistry, dating back to late 1700s. - Study of enzymes has dominated biochemistry in the past and contributes to do so - Eduard Buchner: Zymase = yeast juice that ferments sugar to make ethanol (1900) **[Why biocatalysis over inorganic catalysts? ]** - Greater reaction specificity: avoids side products - Milder reaction conditions: conducive to conditions in cells - Higher reaction rates: in a biologically useful timeframe - Capacity for regulation: control of biological pathways - Metabolites have many potential pathways of decomposition - Enzymes make the desired one most favorable ![A diagram of a chemical structure Description automatically generated](media/image30.png) **[Enzymatic Substrate Selectivity ]** A diagram of chemical formulas Description automatically generated with medium confidence **[Reaction Conditions Compatible with Life]** - 37ºC - pH = 7 - Mild oxidizing/reducing conditions - Currently limited to reactions required by natural selection; can be engineered. **[Seven Classes of Enzymes: Defined by the Reactions Catalyzed]** ![A table with text and symbols Description automatically generated](media/image32.png) ***[6.2 -- Enzyme Catalysis ]*** **[Enzyme-Substrate Complex]** - Enzymes act by binding substrates - The noncovalent enzyme substrate complex is known as the **Michaelis complex** - Description of chemical interactions - Development of kinetic equations E + S ES EP E + P A black text on a white background Description automatically generated ![A structure of a protein Description automatically generated with medium confidence](media/image34.png) **[Enzymatic Catalysis]** - Enzymes do not affect equilibrium (∆G) - Reactions that face significant activation barriers (∆G^+-^) that must be surmounted during the reaction are SLOW. - Enzymes increase reaction rates (k) by decreasing ∆G^+-^ A diagram of a function Description automatically generated ![A mathematical equation with a square and a few square and a few square and a few square and a few square and a few square and a few square and a few square and a few square and Description automatically generated](media/image36.png) **[Enzymes Decrease G^+-^ ]** A diagram of a function Description automatically generated **[Rate Enhancement by Enzymes]** ![A chart with text on it Description automatically generated](media/image38.png) **[How to Lower ∆G^≠^]** - Enzymes use binding energy to pay entropy cost - Uncatalzyed biomolecular reactions - **Two free** reactants **single** restricted transition state conversion is **entropically unfavorable** - Uncatalyzed unimolecular reactions - Flexible reactant rigid transition state conversion is **entropically unfavorable** for flexible reactants - Catalyzed reactions - Enzyme uses the binding energy of substrates to organize the reactants to a fairly rigid ES complex - **Entropy cost is paid during binding** - **Rigid reactant complex transition state conversion is entropically okay.** **[Support for the Proximity Model]** - Propinquity: Things that are in close proximity tend to react more with each other - A model reaction of anhydride formation shows how rate increases - D orientation - Requires random collision - Put reactive groups nearby effective concentration increases - Orients reactive groups effective concentration very high A diagram of chemical formulas Description automatically generated with medium confidence **[How to Lower ∆G^≠^]** - Enzymes bind transition states best - The idea was proposed by Linus Pauling in 1946 - Enzyme active sites are complimentary to the transition state of the reaction - Enzymes bind transition states better than substrates - Stronger/additional interactions with the transition state as compared to the ground state lower the activation barrier - Largely ∆H^+-^ effect ***[6.3 -- Stickase Example ]*** **[Illustration of TS Stabilization Idea: Imaginary Stickase]** ![A diagram of a probiotic reaction Description automatically generated](media/image40.png) **[Stick Binding Protein (SBP)]** - Binding proteins are good transporters but poor enzymes A white background with black text Description automatically generated ![A diagram of a graph Description automatically generated](media/image42.png) **[Stickase ]** - Magnets (M) help stick to adopt the bended shape (transition state) A diagram of a transition process Description automatically generated ![A diagram of a graph Description automatically generated](media/image44.png) ***[6.4 -- Types of Catalysis]*** **[Catalytic Mechanisms ]** - **Acid -- base catalysis**: give and take protons - **Covalent catalysis**: change reaction paths - **Metal ion catalysis**: use redox cofactors, pK~a~ shifters - **Electrostatic catalysis**: preferential interactions with TS **[General Acid--Base Catalysis]** A diagram of a reaction Description automatically generated **[Amino Acids in General Acid--Base Catalysis]** ![A table of chemical formulas Description automatically generated](media/image46.png) **[Covalent Catalysis ]** - A transient covalent bond between the enzyme and the substrate - Changes the reaction Pathway - Uncatalyzed: A black text with letters and arrows Description automatically generated with medium confidence - Catalyzed ![](media/image48.png) - Requires a nucleophile on the enzyme (X) - Can be a reactive **serine, thiolate, amine, or carboxylate** A table with text and images Description automatically generated with medium confidence **[Metal Ion Catalysis ]** - Involves a metal ion bound to the enzyme - Interacts with substrate to facilitate binding - Stabilizes negative charges - Participates in oxidation reactions - We will largely ignore these mechanisms. ***[6.5 -- Chymotrypsin ]*** **[Chymotrypsin is a zymogen]** ![A diagram of a cell structure Description automatically generated with medium confidence](media/image50.png) **[Active Site of Chymotrypsin with Substrate ]** ***[6.6 Chymotrypsin has Burst Kinetics ]*** ![A diagram of a reaction Description automatically generated with medium confidence](media/image52.png) A diagram of a ph and a cat Description automatically generated ***[6.7 -- Chymotrypsin Catalytic Cycle ]*** **[Serine Proteases: Chymotrypsin]** ![A diagram of a diagram of a complex of molecules Description automatically generated with medium confidence](media/image54.png) **[Chymotrypsin Mechanism -- Step 1: Substrate Binding ]** A diagram of a molecule Description automatically generated **[Chymotrypsin Mechanism -- Step 2: Nucleophilic Attack ]** ![A diagram of a molecule Description automatically generated](media/image56.png) **[Chymotrypsin Mechanism -- Step 3: Substrate Cleavage ]** A diagram of a molecule Description automatically generated **[Chymotrypsin Mechanism -- Step 4: Water Comes In ]** ![A diagram of a molecule Description automatically generated](media/image58.png) **[Chymotrypsin Mechanism -- Step 5: Water Attacks]** A diagram of a molecule Description automatically generated **[Chymotrypsin Mechanism -- Step 6: Break-off from the Enzyme]** ![](media/image60.png) **[Chymotrypsin Mechanism -- Step 7: Product Dissociates]** A diagram of a molecule Description automatically generated **[Aspartyl Proteases ]** ![A diagram of a molecule Description automatically generated](media/image62.png) ***[6.8 -- Lysozyme ]*** **[Peptidoglycan and Lysozyme ]** - Peptidoglycan is a polysaccharide found in many bacterial cell walls - Cleavage of the cell wall leads to the lysis of bacteria - Lysozyme is an antibacterial enzyme A diagram of a chemical reaction Description automatically generated **[General Acid-Base + Covalent Catalysis: Cleavage of Peptidoglycan by Lysozyme ]** X-ray structures of lysozyme with bound substrate analogs show that the C-1 carbon is located between Glu 35 and Asp 52 residues. ![A diagram of a structure Description automatically generated](media/image64.png) ***[6.9 -- Lysozyme Mechanism and Catalytic Cycle ]*** **[Cleavage of Peptidoglycan by Lysozyme: Two Successive S~N~2 Steps Model ]** - Asp 52 acts as a nucleophile to attacks the anomeric carbon in the first S~N~2 step - Glu 35 acts as a general acid and protonates the leaving group in the transition state - Water hydrolyzes the covalent glycosyl-enzyme intermediate - Glu 35 acts as a general base to deprotonate water in the second S~N~2 step. A diagram of a chemical reaction Description automatically generated ![A diagram of a chemical reaction Description automatically generated](media/image66.png) A diagram of a chemical structure Description automatically generated ***[6.10 -- Fundamentals of Enzyme Kinetics ]*** **[What is enzyme kinetics? ]** - Kinetics is the study of the rate at which compounds react - Rate of enzymatic reaction is affected by: - Enzyme (wild-type vs. mutant) - Substrate (preferred vs. alternative) - Effectors (activators & inhibitors) - Temperature (too low, optimal, too high) - pH (too low, optimal, too high) - Age of the enzyme (they have a shelf-life) **[The goal of enzyme kinetics ]** - Compare catalytic ability of two enzymes - Wild-type vs. mutant - Species 1 vs. Species 2 - Compare an enzyme's preference for alternative substrates - Substrate 1 vs. Substrate 2 - Determine the enzyme mechanism - Sequential -- all substrates bind before chemistry - Ordered: A binds first, then B - Random: A and B bind in any order - Ping--Pong -- two chemical steps, covalent enzyme-substrate intermediate - Understand how inhibitors work (Drug development) - Reversible: Competitive, Uncompetitive, Noncompetitive (Mixed) - Irreversible: forms a covalent adduct that permanently disables enzyme - Potency: IC~50~ or K~i~ - Understand regulation of metabolic enzymes ***[6.11 -- Measuring Enzyme Activity ]*** **[Quantifying enzyme catalysis ]** - Use specific activity (µmol/min/µg) - Compares gross activity under one set of conditions (T, pH, \[S\]); fast, simple. - Can be used for impure or pure proteins (screening in cell lysates) - Normally only good for comparisons within the same lab - Use Michaelis-Menten constants k~cat~ and K~m~ - Inherent chemical properties of an enzyme-substrate pair - Still depend on conditions, but fewer (T, pH) - Can always calculate K~m~ : does not depend on \[E\] - Purified proteins required for k~cat~ : must know \[E\] - Should be repeatable across many labs - Measures the **rate** of reaction as a function of **substrate concentration.** **[How to do Kinetic Measurements]** - Experiment: 1. Mix enzyme + substrate(s) 2. Record rate of substrate disappearance/product formation as a function of time (the velocity of reaction) 3. Plot initial velocity vs. substrate concentration 4. Change substrate concentration and repeat ![A diagram of a product concentration Description automatically generated with medium confidence](media/image68.png) **[How to collect kinetic data: approach]** - Modality - Colorimetric: UV-Vis-IR-NMR Spectroscopy/Fluorimetry - Radiometric: Radiolabeled substrate/product physically separated and counted - Direct: Substrate or product is detected via spectroscopy or radioactivity - Indirect: Coupled Enzyme Assay; primary enzyme produces a product that is a substrate for a second enzyme -- product of second enzyme is detectable - Continuous: undisturbed reaction monitored by spectroscopy (Beer's Law) - Discontinuous: remove sample form reaction periodically and quench to stop reaction and measure product (Standard Curve, radioactive cpm) - Which modalities can be used for different kinds of enzymes? ***[6.12 -- Michaelis -- Menten Equation ]*** - \[E\] + \[S\] \[ES\] \[EP\] \[E\] + \[P\] - Assume all P is equivalent (EP + P) - Assume no P present at start of reaction (initial rate) - Assume \[ES\] is constant throughout the measurement (steady-state) - Assume \[S\] \>\> \[E\] (saturation conditions) **[Deriving Michaelis-Menten 1]** - Simplified reaction scheme A close-up of a number Description automatically generated - Steady state assumption ![A black and white image of a letter Description automatically generated](media/image70.png) - Rate of ES formation = rate of ES destruction A black text with black letters Description automatically generated - Collection of rate constants gives "Michaelis" constant - K~m~ approaches K~d~ when k~2~ \ - Complex lipid-based structures that form pliable sheets - Composed of a variety of lipids and proteins - Some membrane lipids and proteins are glycosylated - All cells have a cell membrane, which separates the cell from its surrounding - Eukaryotic cells have various internal membranes that divide the internal space into compartments **[Electron Micrograph of Biological Membranes]** A close-up of a cell Description automatically generated **[Functions of Membranes]** - Define the boundaries of the cell - Allow import and export - Selective import of nutrients (e.g. lactose) - Selective export of waste and toxins (e.g., antibiotics) - Retain metabolites and ions within the cell - Sense external signs and transmit information into the cell - Provide compartmentalization within the cell - Separate energy-producing reactions from energy-consuming ones - Keep proteolytic enzymes away from important cellular proteins - Produce and transmit nerve signals - Store energy as a proton gradient - Support synthesis of ATP **[Common Features of Membranes ]** - Sheet-like flexible structure, 30 -- 100 Å (3 -- 10 nm) thick - Main structure is composed of two leaflets of lipids (**bilayer**) - With the exception of archaebacteria: monolayer of bifunctional lipids - Form spontaneously in aqueous solutions and are stabilized by noncovalent forces, especially hydrophobic effect - Protein molecules span the lipid bilayer - Asymmetric - Some lipids are found preferably "inside" - Some lipids are found preferably "outside" - Carbohydrate moieties are always outside the cell - Electrically polarized (inside negative \~ --60 mV) - Fluid structures: two-dimensional solution of oriented lipids **[Fluid Mosaic Model of Membranes]** - Proposed in 1972 (Singer and Nicholson, UCSD) - Lipids form a viscous, two dimensional solvent into which proteins are inserted and integrated more or less deeply - Integral proteins are firmly associated with the membrane, often spanning the bilayer - Peripheral proteins are weakly associated and can be removed easily - Some are noncovalently attached - Some are linked to membrane lipids ![A diagram of a cell structure Description automatically generated](media/image136.png) ***[11.3 -- Membrane Composition ]*** **[The Composition of Membranes]** - Lipid composition of membranes is different in: **Different organisms tissues, and organelles** - Ratio of lipid to protein varies - Type of phospholipid varies - Abundance and type of sterols varies - Prokaryotes lack sterols - Cholesterol predominant in the plasma membrane, virtually absent in mitochondria - Galactolipids abundant in plant chloroplasts but almost absent in animals **[Membrane composition is highly variable in different organisms]** A table with numbers and text Description automatically generated ![A chart of different types of cell division Description automatically generated](media/image138.png) **[Membrane bilayers are asymmetric ]** - Two leaflets have different lipid compositions - Outer leaflet is often more positively charged - Phosphatidylserine outside has a special meaning: - Platelets: Activates blood clotting - Other cells: Marks the cell for destruction **[Membrane composition asymmetry ]** ![Diagram of a cell membrane Description automatically generated](media/image140.png) ***[11.4 -- Membrane Proteins]*** **[Functions of Proteins in Membranes]** - Receptors: detecting signals from outside - Light (opsin) - Hormones (insulin receptor) - Neurotransmitters (acetylcholine receptor) - Pheromones (taste and smell receptors) - Channels, gates, pumps - Nutrients (maltoporin) - Ions (K--channel) - Neurotransmitters (serotonin reuptake protein) - Enzymes - Lipid biosynthesis (some acyltransferases) - ATP synthesis (F~0~F~1~ATPase/ATP synthase) **[Three Types of Membrane Proteins]** A diagram of a cell membrane Description automatically generated **[Peripheral Membrane Proteins]** - Associate with the polar head groups of membranes - Relatively loosely associated with membrane - Through ionic interactions with the lipids or aqueous domains of integral membrane proteins - Removed by disrupting ionic interactions either with high salt or change in pH - Purified peripheral membrane proteins are no longer associated with any lipids **[Integral Membrane Proteins]** - Span the entire membrane - Have asymmetry like the membrane - Different domains in different compartments - Tightly associated with membrane - Hydrophobic stretches in the protein interact with the hydrophobic regions of the membrane - Removed by detergents that disrupt the membrane - Purified integral membrane proteins still have phospholipids associated with them **[Integral Membrane Proteins: α-helices]** ![A diagram of a structure Description automatically generated](media/image142.png) **[Integral Membrane Proteins: β-sheets]** A diagram of a dna structure Description automatically generated ![](media/image144.png) **[Amino acids in membrane proteins cluster in distinct regions]** - Transmembrane segments are predominantly hydrophobic - Tyr and Trp cluster at nonpolar interface - Charged amino acids are only found in aqueous domains A diagram of a structure Description automatically generated **[Lipid-linked Membrane Proteins ]** ![A diagram of a cell membrane Description automatically generated](media/image146.png) **[Lipid Anchors]** - Some membrane proteins are lipoproteins - They contain a covalently linked lipid molecule - Long chain fatty acids - Isoprenoids - Sterols - Glycosylated phosphatidylinositol (PGI) - The lipid part can become part of the membrane - The protein is now anchored to the membrane - Reversible process - Allows targeting of proteins - Some, such as GPI anchors are found only on the outer face of plasma membrane **[Cell membranes are asymmetric]** - Every component of the membrane exhibits asymmetry - Lipids - Outer and inner leaflets have different lipid compositions - Proteins - Individual peripheral membrane proteins are only associated with one side of the membrane - Integral membrane proteins have different domains on different sides of the membrane - Specific lipid modification of proteins targets the protein to a specific leaflet - Carbohydrates - Only on the outside of cells ***[11.5 -- Membrane Phases]*** **[Physical Properties of Membranes]** - Can exist in various **phases** and undergo phase transitions - **Dynamic** and **flexible** structures - **Not permeable** to large polar solutes and ions - **Permeable** to small polar solutes and nonpolar compounds (H~2~O, CO~2~) - Permeability can be **temporarily increased** by chemical treatment or electrical shock - When we want to add foreign DNA into the cell **[Membrane Phases]** - Depending on their composition and the temperature lipid bilayer can be in gel or fluid phase - Gel Phase: Individual molecules do not move around - Fluid Phase: individual molecules can move around - Heating causes phase transition from the gel to fluid - Under physiological conditions, membranes are more fluid-like than gel-like - Must be fluid for proper function A diagram of different types of molecules Description automatically generated **[Organisms can adjust the membrane composition]** - Membrane fluidity is determined mainly by the fatty acid composition - More fluid membranes require **shorter** and more **unsaturated** fatty acids - Remember differences in T~M~ of fatty acids - At higher temperatures cells need more saturated fatty acids - To maintain integrity - At lower temperatures cells need more unsaturated fatty acids - To maintain fluidity ![A table with numbers and symbols Description automatically generated](media/image148.png) **[Sterols increase membrane rigidity and permeability]** - Cell membranes of many eukaryotes contain **sterols** - Cholesterol in animals - Phytosterols in plants - Ergosterol in fungi - Sterols break up phospholipids that are too tightly arranged - Sterols create islands of structure for phospholipids that are too mobile A diagram of a molecule Description automatically generated with medium confidence ***[11.6 Membrane Lipids in Motion]*** **[Membrane Dynamics: Lateral Diffusion is Fast]** - Individual lipids undergo fast lateral diffusion within the leaflet ![A diagram of a structure Description automatically generated with medium confidence](media/image150.png) **[Membrane Dynamics: Transverse Diffusion is Slow]** - Spontaneous flips from one leaflet to another are rare because the charged head group must transverse the hydrophobic tail region of the membrane A diagram of a transbolation Description automatically generated with medium confidence **[How do we know about lateral? ]** - Fluorescence Recovery After Photobleaching (FRAP) - Monitors lateral lipid diffusion in the outer leaflet - Rates of lateral diffusion are fast (up to 1mm/sec) - A lipid can circumnavigate an E.coli cell in one second **[FRAP]** ![A diagram of a step by step Description automatically generated](media/image152.png) A diagram of lines and text Description automatically generated with medium confidence ![A diagram of a structure Description automatically generated](media/image154.png) **[How do we know about transverse?]** - Membranes are asymmetric - Outer leaflet contains PC and SM - Inner leaflet contains PE, PS, and PI - All lipids are made inside cells, so something must manage the asymmetry. Transporters? - Kennedy and Rothman (1977) - Double-label experiment to show how fast lipids flip - Evidence for "flippases", "floppases", and "scramblases" A diagram of a number of different types of substances Description automatically generated with medium confidence ![Diagram of translocations Description automatically generated](media/image156.png) **[Kennedy-Rothman Experiment]** - Separately label inner leaflet and outer-leaflet lipids to see how they move between leaflets - Newly synthesized PE goes into the inner leaflet - ^3^H- glycerol was supplied and then chased with unlabeled glycerol to label some of the new PE - Outer leaflet PE was chemically labeled with TNBS either immediately or after a 3-minute pause. A diagram of a cell line Description automatically generated with medium confidence ![A diagram of a graph Description automatically generated](media/image158.png) A diagram of a graph Description automatically generated with medium confidence This suggests that phospholipids in cells are moved between leaflets using enzyme transporters ***[11.7 -- Membrane Rafts, Curvature, and Fusion]*** **[Membrane Rafts]** - Lipid distribution in a single leaflet is not random or uniform - Lipid rafts - Contain clusters of glycosphingolipids with longer-than-usual tails - Are more ordered - Contain specific doubly or triply acylated proteins - Allow segregation of proteins in the membrane ![A diagram of a cell Description automatically generated](media/image160.png) **[Caveolin forces membrane curvature]** A diagram of a structure Description automatically generated **[Other Modes of Membrane Curvature]** ![Diagram of a diagram of a protein structure Description automatically generated](media/image162.png) **[Membrane Fusion]** - Membranes can fuse with each other without losing continuity - Fusion can be spontaneous or protein-mediated - Examples of protein-mediated fusion are: - Entry of influenza virus into the host cell - Release of neurotransmitters at nerve synapses **[Examples of Membrane Fusion]** Diagram of a diagram of a human body Description automatically generated with medium confidence **[Neurotransmitter Release]** ![A diagram of a structure Description automatically generated](media/image164.png) **[Neurotransmitter Release: Step 1]** Diagram of a diagram showing the formation of a plasma membrane Description automatically generated **[Neurotransmitter Release: Step 2]** ![Diagram of a diagram of a cell membrane Description automatically generated](media/image166.png) **[Neurotransmitter Release: Step 3]** A diagram of zipping causes and tension on a leaflet Description automatically generated **[Neurotransmitter Release: Step 4]** ![Diagram of a cell membrane Description automatically generated](media/image168.png) **[Neurotransmitter Release: Step 5]** A diagram of fusion pore Description automatically generated **[Neurotransmitter Release: Step 6]** ![A diagram of a structure Description automatically generated](media/image170.png) ***[11.8 -- Transport Across Membrane]*** **[Transport Across Membranes]** - Cell membranes are permeable to small nonpolar molecules that passively diffuse through the membrane - Passive diffusion of polar molecules involves desolvation and thus has a high activation barrier - Transport across the membrane can be facilitated by proteins that provide an alternative diffusion path - Such proteins are called **transporters** or permeases **[Types of Transport]** Diagram of a cell membrane Description automatically generated **[Polar solutes need alternative paths to cross cell membranes]** ![Diagram of a transport diagram Description automatically generated with medium confidence](media/image172.png) **[Three Classes of Transport Systems]** A diagram of a structure Description automatically generated ![Diagram of a gate open and closed Description automatically generated with medium confidence](media/image174.png) **[Glucose Transporter in the Membrane]** A diagram of a molecule Description automatically generated **[Model for Glucose Transport]** ![A diagram of a cell membrane Description automatically generated](media/image176.png) **[Kinetics of Glucose Transport]** A diagram of a normal and normal glucose Description automatically generated **[There are multiple glucose transporters]** - A Na^+^ glucose symporter and a glucose uniporter operate on opposite sides of epithelial cells - Cells can also have asymmetry, with distinct proteins confined to one side ![A diagram of a human body Description automatically generated](media/image178.png) **[Bicarbonate transporter is an antiporter]** - Maintains the electrochemical potential across the membrane Diagram of carbon dioxide anhydrms Description automatically generated **[Two Types of Active Transport]** ![A diagram of a active transport Description automatically generated](media/image180.png) **[ABC transporters use ATP hydrolysis to drive transport of substrates]** - ABC = **ATP-binding Cassette** (cassette refers to a common motif seen in DNA Sequences of Transport proteins **[Ion channels maintain gradients for active transport]** - Potassium Ion Channel: - Large K^+^ ion goes thru - Smaller Na^+^ ion can't - How? A diagram of a protein structure Description automatically generated with medium confidence![Diagram of a structure with text and words Description automatically generated](media/image182.png)