In 5–10, compute the Fourier sine series for the given function.
Notes from 3/15-3/17 I. II. Mechanism of Contraction In the absence of Ca+- tropomyosin blocks the interaction of thick & thin filaments In the presence of Ca+- calcium will bind TNC (subunit of troponin which binds calcium); this will cause the tropomyosin block to be removed 1. Crossbridge (Myosin Head)- now will bind actin; ADP + Pi (phosphate) bound to myosin head 2. Power stroke- (where contraction actually takes place) the crossbridge changes shape; ADP + Pi (phosphate) are released 3. Crossbridge detachment- myosin head separates from thin filament; requires binding of ATP 4. Cocking step- crossbridge returns to original conformation/structure; ATP --> ADP + Pi 5. Can restart cycle- must have ATP and Calcium Rigor mortis- the stiffness in muscle several hours after death caused by: 1. Calcium present in sarcoplasm so tropomyosin block is removed, can no longer pump Ca+ back into sarcoplasmic reticulum 2. No ATP, no metabolism so crossbridge detachment cannot take place so myosin head is stuck to actin filaments III. Regulation of Contraction Skeletal muscle is stimulated by nerves Regulation of calcium Neuromuscular junction- junction of a nerve and a muscle (pictures on Slide 17) Axon terminal- the very end of a nerve Synaptic vesicles found in axon terminal- in nerves that supply skeletal muscles there is the neurotransmitter acetylcholine Synaptic cleft- the physical space between the axon terminal and muscle Synapse- the meeting/joining of a muscle and a nerve or a nerve and a nerve Action potential 0. Goes down the nerve 1. Will stimulate the fusion of synaptic vesicles with nerve membrane, releasing (ACH) acetylcholine into the synaptic cleft 2. ACH will diffuse across the cleft & bind to receptors on muscle fiber sarcolemma 3. This signal (action potential) will spread out over the sarcolemma 4. T-tubules cause sarcoplasmic reticulum to release Ca+---> mechanism of contraction takes place IV. Reset 1. Enzyme- acetylcholine esterase is found in the synaptic cleft, which destroys acetylcholine about as fast at is made, so ACH is present in synaptic cleft for only a short amount of time 2. ACH can be taken up my axon terminal cells- endocytosis 3. ACH can diffuse away 4. ATP pump- Ca+ is pumped back into the sarcoplasmic reticulum V. Twitch Contraction Myogram- graph 1. Latent Period- between when muscle stimulated to contraction 2. Period of Contraction 3. Period of Relaxation Muscles differ in periods of contraction of relaxation Picture of above depicts a single twitch V. Smooth Contractions 1. Increase in frequency of stimulation Tetanus- very high frequency of stimulation; stimulate muscle very fast; no relaxation at al between stimuli 2. Multiple Motor Unit Summation Motor unit- consists of a nerve + the fibers it stimulates o on avg. there around 4-200 muscle fibers in a motor unit o there is more than 1 motor unit per muscle o Fibers of a motor unit are not clustered together 3/17/16 Motor unit A and Motor unit B alternate to create constant tension (smooth) Isometric contraction- load > tension Isotonic contraction- tension > load Most contractions are a combo of the above I. Factors that Affect Force (Tension) of a Contraction 1. Warm up - treppe (SLIDE 29) 2. Size of Muscle 3. Number of Motor Units that are contracting 4. Muscle stretch Max force of a muscle is generated when the most myosin heads are in contact/binding with actin (SLIDE 36) II. Energy ATP ---> ADP + P ---> energy Soluble ATP in the cytoplasm, which will last about 6 seconds Creatine-P (phosphate)- molecule found in sarcoplasm (Creatine-P + ADP --> creatine + ATP, which whill last about 10-15 seconds); creatine-P + ADP = creatine phosphokinase d. Aerobic respiration: glucose + O2 --> CO2 + H2O + energy; glucose is broken down step by step, the energy is captured to form ADP + Pi --> ATP; glycogen can be broken down to glucose, various fatty acids can also fit into this, but usually during exercise, glucose is the main one i. Aerobic Pathway- when there is plenty of O2 (SLIDE 41) 1. Glycolysis (takes place in cytoplasm): glucose (br) (some ATP) --> 2-pyruvic acid (3 carbons) 2. Oxidative phosphorylation mitochondrion: 2-pyruvice acid--> mitochondria--> CO2, O2, ATP with about 20 times more ATP than glycolysis ii. Anaerobic Pathway- no O2, enlarge and engorge muscles, pinching of blood vessels (SLIDE 40) 1. Glycolysis (takes place in cytoplasm): glucose (br) (some ATP) --> 2-pyruvic acid (3 carbons) 2. Pyruvic Avid --> lactic acid, diffusing into blood stream, some in liver, some stays in muscles, doesn't go to mitochondria; feel legs burn (accumulation of lactic acid), can do this for a little while, not forever, ATP is very quickly created iii. Summary 1. Short exercise: a. to about 15 seconds Soluble ATP, creatine-P b. Exercise to about 60 seconds Anaerobic respiration: glycolysis, OPM 2. Long: a. Hours Aerobic respiration Oxygen debt- more ATP being used than being generated by aerobic pathway e. Muscle Fatigue ATP production less than usage Cramps- stiffness in muscle, caused by myosin head remaining bound to actin thin filaments, in order for it to release, ATP must bind o Accumulation of lactic acid- acidify muscle, muscle will not function properly in an acidic environment o Loss of Na+ and K+- sodium and potassium, salts necessary for conduction of action potentials III. Fiber Types (SLIDE 45) . Slow Oxidative Fibers- fatigue resistant Slow- slow myosin, not going to contract very fast, long period of contraction Oxidative- specialized for aerobic pathway- lots of mitochondria Myoglobin- will bind O2, storing O2, red color fibers Low amounts of glycogen, run on glucose which is either present or brought to the cells via bloodstream a. Fast Glycolytic Fibers- sprinters have these Fast- fast myosin, muscles are going to contract Large amounts of glycolytic enzymes, not so many mitochondria Broad fibers Fatigueable Relatively high levels of glycogen No myoglobin- white color fibers b. Fast Oxidative Fibers- intermediate Relatively fast myosin- 10 or more genes that code for different myosin's, so each fiber type has a different myosin Oxidative Specialized for aerobic respiration- lots of mitochondria Myoglobin- intermediate amount --> pink color fibers Some glycogen- low levels Most muscles are going to be a mixture All the muscle fibers of a different motor unit are the same type (FG, SO, or FO) IV. SMOOTH MUSCLE Not as highly ordered as skeletal muscles with striations Contains thick and thin filaments (1:13 ratio), (1:3 ratio in skeletal) No troponin, no t-tubules No sarcomeres, no myofibrils But there are bundles of filaments (similar to myofibrils) Thin filaments attach dense bodies of surface of cells, intermediate filaments also attach to these dense bodies Caveolae- pocket on cell surface, high in Ca+ Lack elaborate coverings Arranged in sheets- 2 layers Circular- wrap around tube Longitudinal- parallel to axis of tube Surround digestive system, tubes of respiratory system, etc. Lack highly structured neuromuscular junction Very wide synaptic cleft- diffuse junctions Varicosities- come in contact with sheet of smooth muscle, have synaptic vesicles, release neurotransmitters