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Presented by-
Namrata Kadambi(14005)
Saurabh Nair(14007)
Urvashi Pachpute(14008)
Rajdatt Vernekar(14015)
Circulatory system and its
mathematical model
Date : 26th August 2016
INDEX
 Anatomy and physiology of the circulatory system.
 Variation of po2 levels in the blood.
 Generation of action potential
• Cardiac conducting system
• Electrophysiology
• Cardiac action potential
 Excitation-contraction coupling.
 Mathematical modeling of the circulatory system.
Anatomy and Physiology of the
Circulatory System
Layers of the heart
1. Heart is made up of 3 layers .
a) Epicardium .
b) Myocardium.
c) Endocardium .
 Epicardium
i. Outermost layer.
ii. Thin layer .
iii. Lubricate & protect .
 Myocardium
i. Muscular middle layer .
ii. Contains .
iii. Majority of thickness & mass of the heart .
 Endocardium
i. Simple squamous endothelium .
ii. Lines inside the heart.
iii. Function: Prevents blood from sticking to the inside
surface of the heart.
Anatomy of the heart
1. Size
2. Weighs (200-425 gms).
3. Location.
 Between lungs in the middle of the chest
,behind & slightly to the left of the sternum.
4. Pericardium
 double layered membrane.
 Produces fluid to lubricate the heart &
prevent friction.
 Outer layer surrounds the roots of heart
blood vessels & attached by ligament to
spinal column , diaphragm .
 Inner layer attached to heart muscle .
5. Heart has 4 chambers
a) Upper chamber consists of left & right atrium.
b) Lower chamber consists of left & right ventricle .
 Atria
i. Size .
ii. Less Muscular walls .
iii. Receiving chambers .
iv. Connected to veins that carry blood to
heart.
 Ventricles
i. Size.
ii. Stronger pumping chambers .
iii. Connected to arteries that carry blood away
from the heart .
Physiology of the cardiac system
 Right atrium : Receives blood from the
veins & pumps it to the right ventricle .
 Right ventricle : Receives blood from the
right atrium & pumps it to the lungs where it
is loaded with oxygen.
 Left atrium : Receives oxygenated blood
from the lungs & pumps it to the left ventricle
.
 Left ventricle : pumps oxygen rich blood to
the rest of the body.
 Left ventricle is the largest & strongest
chamber.
Variation of po2 levels in the blood
What is Po2 level?
Varying of Po2 levels when the blood reaches
the lungs.
Po2 levels in the pulmonary veins and pulmonary
arteries.
Variation of po2 levels in the blood
Generation of action potential
Conduction of an impulse
Electrophysiology
 Two main forces drive ions across cell
membranes:
 Chemical potential: an ion will move down
its concentration gradient.
 Electrical potential: an ion will move away from
ions/molecules of like charge.
Ion Channels
 The transmembrane potential (TMP) is the
electrical potential difference (voltage) between
the inside and the outside of a cell. When there is
a net movement of +ve ions into a cell, the TMP
becomes more +ve, and when there is
a net movement of +ve ions out of a cell, TMP
becomes more –ve.
Trans-membrane ionic concentration
Cardiac action potential
 Phase 4: The resting phase
 Phase 0: Depolarization
 Phase 1: Early repolarization
 Phase 2: The plateau phase
 Phase 3: Repolarization
Excitation-Contraction coupling
Contractile proteins
a) Main contractile elements:
 Myosin: thick filaments with globular heads evenly spaced
along their length; contains myosin ATPase.
 Actin: smaller molecule (thin filaments) consisting of two
strands arranged as an alpha-helix, woven between myosin
filaments.
b) Regulatory elements:
 Tropomyosin: double helix that lies in the groove between
actin filaments. It prevents contraction in the resting state by
inhibiting the interaction between myosin heads and actin.
 Troponin: complex with three subunits that sits at regular
intervals along the actin strands.
Mathematical modeling of the
circulatory system
Block diagram of the circulatory system
Mathematical model
Bibliography
 www.google.com
 www.pathophys.org
 En.wikipedia.org
 www.ncbi.nlm.nih.gov
 www.siam.org
Thank You

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Circulatory model

  • 1. Presented by- Namrata Kadambi(14005) Saurabh Nair(14007) Urvashi Pachpute(14008) Rajdatt Vernekar(14015) Circulatory system and its mathematical model Date : 26th August 2016
  • 2. INDEX  Anatomy and physiology of the circulatory system.  Variation of po2 levels in the blood.  Generation of action potential • Cardiac conducting system • Electrophysiology • Cardiac action potential  Excitation-contraction coupling.  Mathematical modeling of the circulatory system.
  • 3. Anatomy and Physiology of the Circulatory System
  • 4. Layers of the heart 1. Heart is made up of 3 layers . a) Epicardium . b) Myocardium. c) Endocardium .
  • 5.  Epicardium i. Outermost layer. ii. Thin layer . iii. Lubricate & protect .  Myocardium i. Muscular middle layer . ii. Contains . iii. Majority of thickness & mass of the heart .  Endocardium i. Simple squamous endothelium . ii. Lines inside the heart. iii. Function: Prevents blood from sticking to the inside surface of the heart.
  • 7. 1. Size 2. Weighs (200-425 gms). 3. Location.  Between lungs in the middle of the chest ,behind & slightly to the left of the sternum. 4. Pericardium  double layered membrane.  Produces fluid to lubricate the heart & prevent friction.  Outer layer surrounds the roots of heart blood vessels & attached by ligament to spinal column , diaphragm .  Inner layer attached to heart muscle .
  • 8. 5. Heart has 4 chambers a) Upper chamber consists of left & right atrium. b) Lower chamber consists of left & right ventricle .  Atria i. Size . ii. Less Muscular walls . iii. Receiving chambers . iv. Connected to veins that carry blood to heart.  Ventricles i. Size. ii. Stronger pumping chambers . iii. Connected to arteries that carry blood away from the heart .
  • 9. Physiology of the cardiac system  Right atrium : Receives blood from the veins & pumps it to the right ventricle .  Right ventricle : Receives blood from the right atrium & pumps it to the lungs where it is loaded with oxygen.  Left atrium : Receives oxygenated blood from the lungs & pumps it to the left ventricle .  Left ventricle : pumps oxygen rich blood to the rest of the body.  Left ventricle is the largest & strongest chamber.
  • 10.
  • 11. Variation of po2 levels in the blood
  • 12. What is Po2 level? Varying of Po2 levels when the blood reaches the lungs. Po2 levels in the pulmonary veins and pulmonary arteries. Variation of po2 levels in the blood
  • 13.
  • 14. Generation of action potential
  • 15. Conduction of an impulse
  • 16. Electrophysiology  Two main forces drive ions across cell membranes:  Chemical potential: an ion will move down its concentration gradient.  Electrical potential: an ion will move away from ions/molecules of like charge.
  • 17. Ion Channels  The transmembrane potential (TMP) is the electrical potential difference (voltage) between the inside and the outside of a cell. When there is a net movement of +ve ions into a cell, the TMP becomes more +ve, and when there is a net movement of +ve ions out of a cell, TMP becomes more –ve.
  • 19. Cardiac action potential  Phase 4: The resting phase  Phase 0: Depolarization  Phase 1: Early repolarization  Phase 2: The plateau phase  Phase 3: Repolarization
  • 20.
  • 22. Contractile proteins a) Main contractile elements:  Myosin: thick filaments with globular heads evenly spaced along their length; contains myosin ATPase.  Actin: smaller molecule (thin filaments) consisting of two strands arranged as an alpha-helix, woven between myosin filaments. b) Regulatory elements:  Tropomyosin: double helix that lies in the groove between actin filaments. It prevents contraction in the resting state by inhibiting the interaction between myosin heads and actin.  Troponin: complex with three subunits that sits at regular intervals along the actin strands.
  • 23.
  • 24.
  • 25. Mathematical modeling of the circulatory system
  • 26. Block diagram of the circulatory system
  • 28. Bibliography  www.google.com  www.pathophys.org  En.wikipedia.org  www.ncbi.nlm.nih.gov  www.siam.org