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GLYCOGEN
METABOLISM
Outline:
General view & biomedical importance
Synthesis of glycogen
Degradation of glycogen
Regulation.
Glycogen- bank account.
“a friend in need is a friend indeed”
Glucose- essential for energy
Glycogen - stored
- when glucose is abundant
- degraded
- when glucose is below normal
glycogen glucose
Claude Bernard, 1857, isolated glycogen
Carl Cori & Gerty Cori, NP, 1947, glycogen
degradation
Luis Leloir, Argentina, NP, 1970, glycogen synthesis
Earl Sutherland, NP 1971, role of cAMP
General overview
• Polymer of α-D glucose, 108 Da
• Liver and muscle, liver content more than muscle
• Muscle has more glycogen than liver.
• Muscle- synthesis of ATP, Liver- blood glucose
%age of weight Tissue weight Body content
Liver glycogen 5.0 1.8 90 gm.
Muscle glycogen 0.7 35 245 gm.
Extracellular
glucose
0.1 10 L 10 gm.
General view & biomedical importance
• Liver glycogen after a fast of 12-18 hours falls by
125%
• Muscle  pyruvate  transamination

Gluconeogenesis  liver  muscle
• 8% muscle glycogen release glucose
• Exercise triggers mobilization to form ATP
In muscles-
Red muscle White muscle
Rich blood flow Poor blood supply
Large no of mitochondria &
Oxygen
Lesser
Pyruvate Lactate
End product- CO2 & H2O Substrate for glycolysis
Can work for longer period Short period
Glycogen
• Composed entirely of glucosyl residues
• Linked together by α- 1, 4 glycosidic linkages
• 8-10: branch, α- 1, 6 linkage
• Branch- large sites for glycogenolysis: glucose 1-(P)
• Stored as granules: cytoplasm
• Formation of branch: slower
• Liver glycogen store increase in well fed state
• Depleted during fast
• Muscle glycogen not affected by fasting
I. Synthesis of glycogen:
A. Synthesis of UDP-glucose
Glucose-6-℗
Glucose-1-℗
phosphoglucomutase
UTP PPi
UDP- glucoseUDP-
glucosepyropho
sphorylase
2 Pi
H20
Pyrophosphatase
hydrolysis
Inter-conversion of glucose-6-
phosphate to glucose-1-phosphate
Glucose- 1,6 bisphosphate
Glucose-1-℗
phosphoglucomutase
phosphoglucomutase
B. Synthesis of a primer to initiate glycogen synthesis
UDP -
UDP
Glycogen synthase
Tyr-OH
Tyr-O-
Tyr-O-
Glycogen synthase
Glycogenin
primer
• Protein
• An enzyme
• 37 kDa
• Constitutes of 332 amino acids
• Glycosylation occurs at tyrosine residue
• The –OH group of Tyr serves as the site
• Reaction catalyzed by Glycogenin itself
Tyr-O-
α- 1, 4 glycosidic linkages
C. Elongation of chain by glycogen synthase
Non-reducing end
Glycogen synthase
O O
O
CH2OH CH2OH
UDP + ATP
UTP + ADP
Nucleoside diphosphate kinase
Summary
Glucose-6-℗
Glucose-1-℗
phosphoglucomutase
UTP PPi
UDP- glucoseUDP-
glucosepyrophosphor
ylase
2 Pi
H20
hydrolysis
UDP
Glycogen
synthase
Tyr-OH
Tyr-O-
Tyr-O-
Glycogen
synthase
D. Formation of branches
Tyr-O-
Action of enzyme α- (1, 4),
α- (1, 6) transglucosidase
α- 1, 6 glycosidic linkage 4:6 transferase
Non-reducing ends
E. Synthesis of additional branches
• After elongation of the two ends
• The new formed 6- 8 glucosyl residues are removed
• Added & the additional branches made
• α- (1, 4), α- (1, 6) transglucosidase and 4:6 transferase
are together called the “branching enzyme”
O
O
CH2OH
CH2OH
O α- (1, 6) glycosidic linkage
ll. Degradation of Glycogen
• Not a reversal of synthetic pathway
• A separate set of cytosolic enzyme is required
• Primary product is
• Glucose-1- phosphate
• Glucose
A. Shortening of chains:
Tyr-O-
Glycogen
phosphorylase6
Pi
PLP
B. Removal of branches:
Tyr-O-
Oligo α- (1, 4), α- (1, 4)
glucantransferase Formation of α- (1, 4)
linkage by 4:4 transferase
Action of amylo α- (1, 6) glucosidase
H20
Tyr-O-
Glucose-1-℗
Glycogen phosphorylase
C. Fate of glucose-1- phosphate in liver and
muscled
Glucose-6-℗glucose
H2O Pi
Glucose-6- phosphatase
Released into blood to maintain blood glucose level
Glycolysis
Energy for muscle
contraction
D. Lysosomal degradation of glycogen
• Small amount: glycogen, 1-3% degraded continuously
• Purpose: unknown
• The enzyme: alpha (1, 4) glucosidase, alias acid maltase
• Deficiency: accumulation of glycogen
• Pompe’s disease type II: only lysososmal storage disease
SPECIAL FEATURES OF GLYCOGEN
DEGRADATION AND SYNTHESIS
• WHY STORE GLUCOSE AS GLYCOGEN?
• WHY NOT JUST PUMP GLUCOSE INTO CELLS?
• WHY GLYCOGEN IS A BRANCHED MOLECULE WITH ONLY
ONE BEGINNING AND MANY BRANCHES TERMINATING
WITH NON REDUCING GLUCOSYL END?
• WHY IS PRIMER NEEDED FOR GLYCOGEN SYNTHESIS?
• WHY DOES GLYCOGEN LIMIT ITS OWN SYNTHESIS?
WHY STORE GLUCOSE AS GLYCOGEN?
• Why not store it as fat?
• Why waste so many ATP to synthesize
glycogen?
– The answer is
• Fat stored, not mobilized rapidly as glycogen.
• Cannot be used as source of energy: absent O2
• Fat: cannot be converted to glucose to maintain its
level
WHY NOT JUST PUMP GLUCOSE INTO CELLS?
• Glucose: osmotically active
• Costs ATP to pump glucose
• Concn. of 400 mM to match the “glucose reserve”
• Balanced by outward movement
• Uptake of water: lysis
• High MW; 400 mM glucose stored; intracellular
glycogen; concentration of 0.01 mM
• No osmotic pressure problem
WHY GLYCOGEN IS A BRANCHED MOLECULE WITH
ONLY ONE BEGINNING AND MANY BRANCHES
TERMINATING WITH NON REDUCING GLUCOSYL
END?
• Numerous sites: glycogen phosphorylase &
glycogen synthase
• α amylose: polymer: only one non reducing end
• Slower
• glycogen phosphorylase & glycogen synthase: tight
association with glycogen
• Ready access to multitude of non- reducing sugars
WHY IS PRIMER NEEDED FOR GLYCOGEN
SYNTHESIS?
• glycogen synthase: low Km- large glycogen
Km glycogen
• Glucose alone: can’t act as primer
• Glycogen: immortal
• Glycogenin: a primer
• Alas! Glycogen: mortal
WHY DOES GLYCOGEN LIMIT ITS OWN SYNTHESIS?
• glycogen synthase efficient with larger glycogen
• How does glycogenesis stop?
• glycogen synthase ‘a’: decreases with
accumulation of glycogen
• Glycogen inhibits the dephosphorylation of
glycogen synthase ‘b’ by phosphoprotein
phosphatase
III. REGULATION OF GLYCOGEGESIS &
GLYCOGENOLYSIS
• LIVER: glycogenolysis accelerates in fasting
• MUSCLE: glycogenolysis in active exercise
Glycogenesis when muscle is at rest
• 2 levels:
– Hormonal regulation
– Allosterically controlled
A. Activation of glycogen degradation by cAMP
mediated pathway
I. Activation of protein kinase A
glucagon epinephrine
GPCR
ATP cAMP
Active
Adenyl
cyclase
PKA ‘b’ PKA ‘a’
Inactive enzymes Active enzyme
II. Activation of phosphorylase kinase
cAMP dependent PKA ‘a’
Glycogen
phosphorylase
kinase ‘b’
Glycogen
phosphoryla
se kinase ‘a’ATP ADP
H2O Pi
Protein phosphatase-1INSULIN
INSULIN SIGNAL CASCADE
Insulin
receptor
tyrosine
kinase ‘b’
Insulin
receptor
tyrosine
kinase ‘a’
Insulin receptor substrate ‘b’
(IRS-Tyr)
Insulin receptor substrate ‘a’
(IRS-Tyr)
Protein phosphatase ‘b’ Protein phosphatase ‘a’
Biological effect
III. Activation of glycogen phosphorylase
Glycogen phosphorylase kinase ’a’
Glycogen
phosphorylase
‘b’
Glycogen
phosphorylase
‘a’ATP ADP
H2O Pi
Protein phosphatase-1INSULIN
GLYCOGENOLYSIS
Summary
glucagon epinephrine
GPCR
ATP cAMP
Active
Adenyl
cyclase
PKA ‘b’ PKA ‘a’
Glycogen
phosphorylase
kinase ‘b’
Glycogen
phosphorylase
kinase ‘a’
ATP ADP
H2O Pi
Protein phosphatase-1
INSULIN
Glycogen
phosphorylase
‘b’
Glycogen
phosphorylase
‘a’
ATP
ADP
H2O Pi
Protein phosphatase-1
GLYCOGENOLYSIS
B. Inhibition of glycogen synthesis by cAMP
directed pathway
glucagon epinephrine
GPCR
ATP cAMP
Active
Adenyl
cyclase
PKA ‘b’ PKA ‘a’
Glycogen synthase ‘a’
Glycogen synthase ‘b’
ATP ADP
H2O Pi
Protein
phosphatase-1
INSULIN
INHIBITION OF GLYCOGEN SYNTHESIS
C. Allosteric regulation of glycogen synthesis and
degradation
• Glycogen synthase & glycogen phosphorylase
respond to the energy needs of the cell
• Glycogenesis: glucose is high
• Glycogenolysis: glucose; energy level low
• Allosteric regulation: rapid response
• Can override the effects of hormone mediated
regulation
I. Regulation of glycogen synthesis and degradation
in well-fed state
GLYCOGEN
GLUCOSE-1-℗
Glycogen
synthase
Glycogen
phosphorylase
GLYCOGEN
GLUCOSE-1-℗
Glycogen
synthase
Glycogen
phosphoryl
ase
GLUCOSE GLUCOSE-6-℗ ATP AMP
II. Activation of glycogen degradation by calcium
a. Calcium activation of muscle phosphorylase kinase
Nerve impulse
Membrane depolarisation
Ca Ca Ca Ca
Calmodulin
Ca
CaCa
Ca
Muscle phosphorylase ‘b’ Muscle phosphorylase ‘a’
Glycogen phosphorylase ‘b’ Glycogen
phosphorylase ‘a’
Pi H20
GLYCOGENOLYSIS
b. Calcium activation of liver phosphorylase kinase
ER Membrane depolarisationCa Ca Ca Ca
Calmodulin
Ca
CaCa
Ca
Liver
phosphorylase
kinase ‘b’
Liver phosphorylase
kinase ‘a’
Glycogen phosphorylase ‘b’ Glycogen
phosphorylase ‘a’
GLYCOGEN
SYNTHESIS-
INHIBITION
ER Membrane depolarisationCa Ca Ca Ca
Calmodulin
Ca
CaCa
Ca
Protein kinase ‘b’ Protein kinase ‘a’
Glycogen synthase ‘b’ Glycogen
synthase ‘a’
GLYCOGENOLYSIS
Bibliography
• Lipincott’s Illustrated Reviews, Biochemistry 5th edition,
Richard Harvey, Denise Terrier, Unit II, Chapter 11, Page no:
125- 136
• Jaypee’s Texbook of Biochemistry for medical students, 6th
edition, D M Vasudevan, Sreekumari S, Kannan Vaidyanath,
Section B, Unit 9, Chapter 9, glycogenolysis, glycogen
synthesis, page no 106-112
• McGraw Hills LANGE’s Harper’s Illustrated Biochemistry, R
K Murray, D A Bender, P A Weil, 28th edition, Section 11,
chapter 19, page no: 157-164
• Wiley-Liss’s Textbook of BIOCHEMISTRY with Clinical
Correlations, Thomas M Devlin, 4th edition Chapter 7,
carbohydrate metabolism I, major metabolic pathways and
their control, page no: 311-334
• Central’s Fundamentals of Biochemistry, A C Deb, 8th
edition, Chapter 17, glycogenolysis, clinical orientationof
glycogen. Page no: 240-242
God not only plays
dice, he throws them in
the corner you can’t
see them.
- Stephen Hawking

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Glycogen Metabolism

  • 2. Outline: General view & biomedical importance Synthesis of glycogen Degradation of glycogen Regulation.
  • 3. Glycogen- bank account. “a friend in need is a friend indeed” Glucose- essential for energy Glycogen - stored - when glucose is abundant - degraded - when glucose is below normal glycogen glucose
  • 4. Claude Bernard, 1857, isolated glycogen Carl Cori & Gerty Cori, NP, 1947, glycogen degradation Luis Leloir, Argentina, NP, 1970, glycogen synthesis Earl Sutherland, NP 1971, role of cAMP General overview • Polymer of α-D glucose, 108 Da • Liver and muscle, liver content more than muscle • Muscle has more glycogen than liver. • Muscle- synthesis of ATP, Liver- blood glucose %age of weight Tissue weight Body content Liver glycogen 5.0 1.8 90 gm. Muscle glycogen 0.7 35 245 gm. Extracellular glucose 0.1 10 L 10 gm.
  • 5. General view & biomedical importance • Liver glycogen after a fast of 12-18 hours falls by 125% • Muscle  pyruvate  transamination  Gluconeogenesis  liver  muscle • 8% muscle glycogen release glucose • Exercise triggers mobilization to form ATP
  • 6. In muscles- Red muscle White muscle Rich blood flow Poor blood supply Large no of mitochondria & Oxygen Lesser Pyruvate Lactate End product- CO2 & H2O Substrate for glycolysis Can work for longer period Short period
  • 7. Glycogen • Composed entirely of glucosyl residues • Linked together by α- 1, 4 glycosidic linkages • 8-10: branch, α- 1, 6 linkage • Branch- large sites for glycogenolysis: glucose 1-(P) • Stored as granules: cytoplasm • Formation of branch: slower • Liver glycogen store increase in well fed state • Depleted during fast • Muscle glycogen not affected by fasting
  • 8. I. Synthesis of glycogen: A. Synthesis of UDP-glucose Glucose-6-℗ Glucose-1-℗ phosphoglucomutase UTP PPi UDP- glucoseUDP- glucosepyropho sphorylase 2 Pi H20 Pyrophosphatase hydrolysis
  • 9. Inter-conversion of glucose-6- phosphate to glucose-1-phosphate Glucose- 1,6 bisphosphate Glucose-1-℗ phosphoglucomutase phosphoglucomutase
  • 10. B. Synthesis of a primer to initiate glycogen synthesis UDP - UDP Glycogen synthase Tyr-OH Tyr-O- Tyr-O- Glycogen synthase Glycogenin primer
  • 11. • Protein • An enzyme • 37 kDa • Constitutes of 332 amino acids • Glycosylation occurs at tyrosine residue • The –OH group of Tyr serves as the site • Reaction catalyzed by Glycogenin itself
  • 12. Tyr-O- α- 1, 4 glycosidic linkages C. Elongation of chain by glycogen synthase Non-reducing end Glycogen synthase O O O CH2OH CH2OH UDP + ATP UTP + ADP Nucleoside diphosphate kinase
  • 13. Summary Glucose-6-℗ Glucose-1-℗ phosphoglucomutase UTP PPi UDP- glucoseUDP- glucosepyrophosphor ylase 2 Pi H20 hydrolysis UDP Glycogen synthase Tyr-OH Tyr-O- Tyr-O- Glycogen synthase
  • 14. D. Formation of branches Tyr-O- Action of enzyme α- (1, 4), α- (1, 6) transglucosidase α- 1, 6 glycosidic linkage 4:6 transferase Non-reducing ends
  • 15. E. Synthesis of additional branches • After elongation of the two ends • The new formed 6- 8 glucosyl residues are removed • Added & the additional branches made • α- (1, 4), α- (1, 6) transglucosidase and 4:6 transferase are together called the “branching enzyme” O O CH2OH CH2OH O α- (1, 6) glycosidic linkage
  • 16. ll. Degradation of Glycogen • Not a reversal of synthetic pathway • A separate set of cytosolic enzyme is required • Primary product is • Glucose-1- phosphate • Glucose
  • 17. A. Shortening of chains: Tyr-O- Glycogen phosphorylase6 Pi PLP
  • 18. B. Removal of branches: Tyr-O- Oligo α- (1, 4), α- (1, 4) glucantransferase Formation of α- (1, 4) linkage by 4:4 transferase Action of amylo α- (1, 6) glucosidase H20 Tyr-O- Glucose-1-℗ Glycogen phosphorylase
  • 19. C. Fate of glucose-1- phosphate in liver and muscled Glucose-6-℗glucose H2O Pi Glucose-6- phosphatase Released into blood to maintain blood glucose level Glycolysis Energy for muscle contraction
  • 20. D. Lysosomal degradation of glycogen • Small amount: glycogen, 1-3% degraded continuously • Purpose: unknown • The enzyme: alpha (1, 4) glucosidase, alias acid maltase • Deficiency: accumulation of glycogen • Pompe’s disease type II: only lysososmal storage disease
  • 21. SPECIAL FEATURES OF GLYCOGEN DEGRADATION AND SYNTHESIS • WHY STORE GLUCOSE AS GLYCOGEN? • WHY NOT JUST PUMP GLUCOSE INTO CELLS? • WHY GLYCOGEN IS A BRANCHED MOLECULE WITH ONLY ONE BEGINNING AND MANY BRANCHES TERMINATING WITH NON REDUCING GLUCOSYL END? • WHY IS PRIMER NEEDED FOR GLYCOGEN SYNTHESIS? • WHY DOES GLYCOGEN LIMIT ITS OWN SYNTHESIS?
  • 22. WHY STORE GLUCOSE AS GLYCOGEN? • Why not store it as fat? • Why waste so many ATP to synthesize glycogen? – The answer is • Fat stored, not mobilized rapidly as glycogen. • Cannot be used as source of energy: absent O2 • Fat: cannot be converted to glucose to maintain its level
  • 23. WHY NOT JUST PUMP GLUCOSE INTO CELLS? • Glucose: osmotically active • Costs ATP to pump glucose • Concn. of 400 mM to match the “glucose reserve” • Balanced by outward movement • Uptake of water: lysis • High MW; 400 mM glucose stored; intracellular glycogen; concentration of 0.01 mM • No osmotic pressure problem
  • 24. WHY GLYCOGEN IS A BRANCHED MOLECULE WITH ONLY ONE BEGINNING AND MANY BRANCHES TERMINATING WITH NON REDUCING GLUCOSYL END? • Numerous sites: glycogen phosphorylase & glycogen synthase • α amylose: polymer: only one non reducing end • Slower • glycogen phosphorylase & glycogen synthase: tight association with glycogen • Ready access to multitude of non- reducing sugars
  • 25. WHY IS PRIMER NEEDED FOR GLYCOGEN SYNTHESIS? • glycogen synthase: low Km- large glycogen Km glycogen • Glucose alone: can’t act as primer • Glycogen: immortal • Glycogenin: a primer • Alas! Glycogen: mortal
  • 26. WHY DOES GLYCOGEN LIMIT ITS OWN SYNTHESIS? • glycogen synthase efficient with larger glycogen • How does glycogenesis stop? • glycogen synthase ‘a’: decreases with accumulation of glycogen • Glycogen inhibits the dephosphorylation of glycogen synthase ‘b’ by phosphoprotein phosphatase
  • 27. III. REGULATION OF GLYCOGEGESIS & GLYCOGENOLYSIS • LIVER: glycogenolysis accelerates in fasting • MUSCLE: glycogenolysis in active exercise Glycogenesis when muscle is at rest • 2 levels: – Hormonal regulation – Allosterically controlled
  • 28. A. Activation of glycogen degradation by cAMP mediated pathway I. Activation of protein kinase A glucagon epinephrine GPCR ATP cAMP Active Adenyl cyclase PKA ‘b’ PKA ‘a’ Inactive enzymes Active enzyme
  • 29. II. Activation of phosphorylase kinase cAMP dependent PKA ‘a’ Glycogen phosphorylase kinase ‘b’ Glycogen phosphoryla se kinase ‘a’ATP ADP H2O Pi Protein phosphatase-1INSULIN
  • 30. INSULIN SIGNAL CASCADE Insulin receptor tyrosine kinase ‘b’ Insulin receptor tyrosine kinase ‘a’ Insulin receptor substrate ‘b’ (IRS-Tyr) Insulin receptor substrate ‘a’ (IRS-Tyr) Protein phosphatase ‘b’ Protein phosphatase ‘a’ Biological effect
  • 31. III. Activation of glycogen phosphorylase Glycogen phosphorylase kinase ’a’ Glycogen phosphorylase ‘b’ Glycogen phosphorylase ‘a’ATP ADP H2O Pi Protein phosphatase-1INSULIN GLYCOGENOLYSIS
  • 32. Summary glucagon epinephrine GPCR ATP cAMP Active Adenyl cyclase PKA ‘b’ PKA ‘a’ Glycogen phosphorylase kinase ‘b’ Glycogen phosphorylase kinase ‘a’ ATP ADP H2O Pi Protein phosphatase-1 INSULIN Glycogen phosphorylase ‘b’ Glycogen phosphorylase ‘a’ ATP ADP H2O Pi Protein phosphatase-1 GLYCOGENOLYSIS
  • 33. B. Inhibition of glycogen synthesis by cAMP directed pathway glucagon epinephrine GPCR ATP cAMP Active Adenyl cyclase PKA ‘b’ PKA ‘a’ Glycogen synthase ‘a’ Glycogen synthase ‘b’ ATP ADP H2O Pi Protein phosphatase-1 INSULIN INHIBITION OF GLYCOGEN SYNTHESIS
  • 34. C. Allosteric regulation of glycogen synthesis and degradation • Glycogen synthase & glycogen phosphorylase respond to the energy needs of the cell • Glycogenesis: glucose is high • Glycogenolysis: glucose; energy level low • Allosteric regulation: rapid response • Can override the effects of hormone mediated regulation
  • 35. I. Regulation of glycogen synthesis and degradation in well-fed state GLYCOGEN GLUCOSE-1-℗ Glycogen synthase Glycogen phosphorylase GLYCOGEN GLUCOSE-1-℗ Glycogen synthase Glycogen phosphoryl ase GLUCOSE GLUCOSE-6-℗ ATP AMP
  • 36. II. Activation of glycogen degradation by calcium a. Calcium activation of muscle phosphorylase kinase Nerve impulse Membrane depolarisation Ca Ca Ca Ca Calmodulin Ca CaCa Ca Muscle phosphorylase ‘b’ Muscle phosphorylase ‘a’ Glycogen phosphorylase ‘b’ Glycogen phosphorylase ‘a’ Pi H20 GLYCOGENOLYSIS
  • 37. b. Calcium activation of liver phosphorylase kinase ER Membrane depolarisationCa Ca Ca Ca Calmodulin Ca CaCa Ca Liver phosphorylase kinase ‘b’ Liver phosphorylase kinase ‘a’ Glycogen phosphorylase ‘b’ Glycogen phosphorylase ‘a’ GLYCOGEN SYNTHESIS- INHIBITION
  • 38. ER Membrane depolarisationCa Ca Ca Ca Calmodulin Ca CaCa Ca Protein kinase ‘b’ Protein kinase ‘a’ Glycogen synthase ‘b’ Glycogen synthase ‘a’ GLYCOGENOLYSIS
  • 39. Bibliography • Lipincott’s Illustrated Reviews, Biochemistry 5th edition, Richard Harvey, Denise Terrier, Unit II, Chapter 11, Page no: 125- 136 • Jaypee’s Texbook of Biochemistry for medical students, 6th edition, D M Vasudevan, Sreekumari S, Kannan Vaidyanath, Section B, Unit 9, Chapter 9, glycogenolysis, glycogen synthesis, page no 106-112 • McGraw Hills LANGE’s Harper’s Illustrated Biochemistry, R K Murray, D A Bender, P A Weil, 28th edition, Section 11, chapter 19, page no: 157-164 • Wiley-Liss’s Textbook of BIOCHEMISTRY with Clinical Correlations, Thomas M Devlin, 4th edition Chapter 7, carbohydrate metabolism I, major metabolic pathways and their control, page no: 311-334 • Central’s Fundamentals of Biochemistry, A C Deb, 8th edition, Chapter 17, glycogenolysis, clinical orientationof glycogen. Page no: 240-242
  • 40. God not only plays dice, he throws them in the corner you can’t see them. - Stephen Hawking