SlideShare une entreprise Scribd logo
1  sur  26
RENAL PLASMA CLEARANCE
Dr. Ramadan Saad
Learning Objectives
• Describe the concept of renal plasma clearance.
• Use the formula for measuring renal clearance.
• Use clearance principles for inulin, creatinine etc.
for determination of GFR.
• Explain why it is easier for a physician to use
creatinine clearance Instead of Inulin for the
estimation of GFR.
• Describe glucose and urea clearance.
• Explain why we use of PAH clearance for
measuring renal blood flow.
2
Basic Renal Processes
1. Filtration (F)
2. Reabsorption (R)
3. Secretion (S)
Excretion = F + S - R
Urine Formation
Afferent Arteriole Efferent Arteriole
Glomerulus
Bowman’s
Capsule
Renal
Tubule
Peritubular
Capillary
Conceptual Point:
Filtration is the most basic “mode” of renal substance handling.
- solutes need pass the filter barrier
- no specific transport processes
- if there is no reabsorption or secretion, then the substance will be excreted.
There are very few “filtered-only” solutes.
Most are also reabsorbed and/or secreted.
Basic Renal Processes
1. Filtration (F)
2. Reabsorption (R)
3. Secretion (S)
Excretion = F + S - R
Urine Formation
Afferent Arteriole Efferent Arteriole
Glomerulus
Bowman’s
Capsule
Renal
Tubule
Peritubular
Capillary
Some Examples: Substances that are Filtered then Reabsorbed
>99.9%
799.5
∼0.5
800
Glucose mM/day
>99.9%
4,498
∼2
4,500
HCO3 mM/day
99.3%
19,850
150
20,000
Cl mM/day
99.4%
24,850
150
25,000
Na mM/day
99.2%
178.5
∼1.5
180
H2O L/day
% of filtered load
reabsorbed
Amount
Reabsorbed
Amount
Excreted
Amount
Filtered
Substance, units
► This “filtered then almost completely reabsorbed” scenario is certainly not the case for all solutes.
Some Important Renal Physiology Numbers
► Renal Blood Flow RBF 1.2 L/min (1200ml)
► Renal Plasma Flow RPF 625 ml/min
RPF = RBF x (1 – hematocrit)
typical hematocrit is ~0.43, so RPF is 1.1x0.57.
► Glomerular Filtration Rate GFR 125 ml/min
► Urine Flow Rate 1 ml/min
► Filtration Fraction GFR/RPF 20%
20% of plasma entering a glomerulus is filtered.
Thus, 20% of any freely-filtered solute present enters Bowman’s space.
Note that values given above can vary in different circumstances.
Also remember that RBF far exceeds what kidney cells need to stay
alive so RBF can vary dramatically without affecting kidney cell vitality.
Concept of Clearance
 Clearance is just a way to quantify renal handling of a substance.
Clearance is defined as the volume of plasma “cleared” of a substance
by the kidneys per minute. ( ml/min )
 Clearance of a substance is often used to evaluate renal function.
First…. we will define clearance in words.
Volume of Plasma Cleared
Now….Let’s see how we
can calculate clearance.
Note: Clearance units are volume per time. Clearance is not the amount of the
substance removed but instead the volume of plasma from which it was removed.
▼
Every minute- 625 ml plasma goes to the kidney (RPF)
125ml/min are filtered forming filtrate (GFR)
Remaining 500ml/min remain in the blood and enter into PC
7
Concept of Clearance
To calculate clearance of substance X- (CX),
first need to calculate amount of X excreted in urine per unit time.
Urine volume per min (ml/min)
Urine X concentration
Another hand the amount of substance X in “cleared plasma” can be expressed
This formula is convenient because UX, PX and V are easily measured.
you will need to remember this formula
Product of plasma volume per unit time
Plasma X concentration
amount of X excreted in urine = UX · V
amount of X in cleared plasma = PX ·
CX
(amount X in
cleared plasma)
PX · CX = UX · V
(amount X excreted
in urine)
PX
CX =
UX X V
Inulin Clearance
Inulin: polysaccharide, not a naturally occurring substance in body
freely filtered but not reabsorbed or secreted ….so all inulin
that is filtered will end up in the urine
CINULIN is the “gold standard” for measuring GFR
Volume filtered
is volume cleared. (125ml/min)
GFR = CINULIN =
UINULIN · V
PINULIN
V = urine produced in ml/min
UINULIN = urine inulin concentration
PINULIN = plasma inulin concentration
The main clinical drawback here is that inulin must be continuously
infused while urine is collected (this is usually a day or so).
PA(inulin)x RPF PV(inulin)x RPF
Filtered = Pin
X GFR
Excreted =
Uin X V
Filtered = Excreted
Pin X GFR = Uin X V
No reabs; No
secretion.
Inulin clearance
PAH Clearance
PAH: para-aminohippurate is also not naturally in the body
it is freely filtered and completely secreted….so both filtered and
secreted PAH will end up in the urine
CPAH is clinically used to estimate RPF
RPF = CPAH =
UPAH · V
PPAH
V = urine produced in ml/min
UPAH = urine PAH concentration
PPAH = plasma PAH concentration
Cleared volume
much larger than
filtered volume.
So large in fact that it
“effectively” approaches
RPF
Recall that…. RPF = RBF x (1- 0.45) so…. RBF =
CPAH
0.55
hematocrit
PA
PAH x RPF PV
PAHx RPF = 0
Near-complete
extraction in one
passage through
kidney.
UPAH V
Glucose Clearance
Glucose: is freely filtered like inulin. However that no glucose appears
in the urine because glucose is completely reabsorbed as it passes
through tubules
This means all of the glucose that comes to the kidney is
saved and leaves the kidney in the plasma membrane
Glucose 0 Completely reabsorbed
Inulin 125 Not reabsorbed and not secreted
PAH 625 Completely secreted
Normal Clearance Value (ml/min)
Creatinine Clearance
Creatinine: produced from creatine metabolism in muscle
production rate usually very constant (if muscle mass constant)
freely filtered and not reabsorbed …little bit is secreted
(this makes it a good but imperfect substitute for inulin)
CCR is clinically used to routinely access GFR
“GFR” = CCR =
UCR · V
PCR
V = urine produced in ml/min
UCR = urine CR concentration
PCR = plasma CR concentration
There is a nice inverse relationship between
PCR and “GFR”
Normal PCR = 1 mg/dl
PCR
If GFR drops by 50%, then PCR doubles ( 2 mg/dl ).
Creatinine Clearance
Creatinine: produced from creatine metabolism in muscle
production rate usually very constant (if muscle mass constant)
freely filtered and not reabsorbed …little bit is secreted
(this makes it a good but imperfect substitute for inulin)
CCR is clinically used to routinely access GFR
“GFR” = CCR =
UCR · V
PCR
V = urine produced in ml/min
UCR = urine CR concentration
PCR = plasma CR concentration
There is a nice inverse relationship between
PCR and “GFR”
Normal PCR = 1 mg/dl
50% GFR
●Thus, a single PCR value can be
used to roughly estimate GFR.
(level of creatinine excreation = level creatinine
production in the body - balance concept)
PA
cr x RPF PV
crx RPF
Filtered =
PcrX GFR
Excreted =
Ucr X V
Filtered = Excreted
Pcr X GFR = Ucr X V
No reabs; No
secretion.
Small amount is
secreted
Urea Clearance Test:
• The patient evacuates his bladder, then drinks a glass of water.
• After 1 hr  blood & urine samples are taken & he drinks another glass of
water.
• After 2 hrs  another urine sample is taken.
• The urine vol. /min. is calculated.
– If it is above 2 ml /min  we get the maximal urea clearance.
MC = (U) x (V) / (P) = 75 ml /min. (normally).
– If it is below 2 ml /min  we get the standard urea clerance.
SC = (U) x (V) / (P) = 54 ml /min. (normally)
(U) = Conc. of urea in 1 ml urine.
(V) = Vol. of urine /min.
(P) = Conc. of urea in 1 ml plasma.
18
Renal Clearance
Summary
• Plasma clearance tests can be used for:
– Measurement of the glomerular filtration rate.
– Measurement of the renal plasma flow rate (&
from there we can calculate the renal blood
flow rate).
– Determining the renal handling of the different
substances; whether or not the substance is
reabsorbed or secreted by the renal tubules.
19
Application
The following information was obtained from a human
subject:
• Plasma inulin= 1 mg / ml.
• Urine inulin =150mg/ml.
• Urine flow rate = 1 ml / min.
• Plasma level of substance X = 2 mg / ml.
• Urine substance X = 100 mg / ml.
Assuming that X is a freely filtered substance, which of the
following statements is most correct?
• a) There is net secretion of substance X.
• b) There is net reabsorption of substance X.
• c) There is both reabsorption and secretion of substance X.
• d) The clearance of substance X could be used to measure the GFR.
• e) The clearance of substance X is greater than the clearance of inulin.
20
Application
If plasma inulin concentration is 0.2 μg/mL,
urine flow is 2 mL/min, and urine inulin
concentration is 9 μg/mL, what is GFR?
• A. 90 mL/min
• B. 45 mL/min
• C. 100 mL/min
• D. None of the above are correct.
21
Application
If plasma inulin concentration is 0.2 μg/mL,
urine flow is 2 mL/min, and urine inulin
concentration is 9 μg/mL, what is GFR?
• A. 90 mL/min
• B. 45 mL/min
• C. 100 mL/min
• D. None of the above are correct.
22
Application
If plasma inulin concentration is 0.2 μg/mL,
urine flow is 2 mL/min, and urine inulin
concentration is 9 μg/mL, what is GFR?
• A. 90 mL/min
• B. 45 mL/min
• C. 100 mL/min
• D. None of the above are correct.
23
Application
Renal clearance. If Us = 500 mg/L, V = 0.1 L (in
an hour), Ps = 5 mg/L, then Cs equals:
• a. 10 L/hr
• b. 25000 L/hr
• c. 250 L/hr
• d. 50 L/hr
24
Application
A person is infused with PAH and, after
equilibration, PPAH is 0.02 mg/ml. At this
time, urine flow is 2 ml/min and UPAH is 4
mg/ml. What is renal plasma flow?
• a. 200 ml/min
• b. 300 ml/min
• c. 500 ml/min
• d. 1000 ml/min
• e. none of the above are correct.
25
26

Contenu connexe

Tendances

Structure of nephron and functions of its parts
Structure of nephron and functions of its partsStructure of nephron and functions of its parts
Structure of nephron and functions of its partsDuaShaban
 
Renal physiology, renal blood flow, autoregulation, golmerular filtration. hu...
Renal physiology, renal blood flow, autoregulation, golmerular filtration. hu...Renal physiology, renal blood flow, autoregulation, golmerular filtration. hu...
Renal physiology, renal blood flow, autoregulation, golmerular filtration. hu...Hussein Sakr
 
Mechanism of formation of urine
Mechanism of formation of urineMechanism of formation of urine
Mechanism of formation of urineAmbika Jawalkar
 
Tubular reabsorption (The Guyton and Hall physiology)
Tubular reabsorption (The Guyton and Hall physiology)Tubular reabsorption (The Guyton and Hall physiology)
Tubular reabsorption (The Guyton and Hall physiology)Maryam Fida
 
Kidney anatomy, physiology and disorders
Kidney anatomy, physiology and disordersKidney anatomy, physiology and disorders
Kidney anatomy, physiology and disordersUniversity of Mauritius
 
Renal handling of glucose and proteins & amino
Renal handling of glucose and proteins & aminoRenal handling of glucose and proteins & amino
Renal handling of glucose and proteins & aminoYogesh Ramasamy
 
Glomerular filtration rate (GFR)
Glomerular filtration rate (GFR)Glomerular filtration rate (GFR)
Glomerular filtration rate (GFR)Dr Sara Sadiq
 
urine formation..mechanism,acidification,urinary buffers by dr.Tasnim
urine formation..mechanism,acidification,urinary buffers by dr.Tasnimurine formation..mechanism,acidification,urinary buffers by dr.Tasnim
urine formation..mechanism,acidification,urinary buffers by dr.Tasnimdr Tasnim
 
Renal physiology-1
Renal physiology-1Renal physiology-1
Renal physiology-1FarragBahbah
 
Renal Physiology (I) - Kidney Function & Physiological Anatomy - Dr. Gawad
Renal Physiology (I) - Kidney Function & Physiological Anatomy - Dr. GawadRenal Physiology (I) - Kidney Function & Physiological Anatomy - Dr. Gawad
Renal Physiology (I) - Kidney Function & Physiological Anatomy - Dr. GawadNephroTube - Dr.Gawad
 
Renal physiology
Renal physiologyRenal physiology
Renal physiologyDeblina Roy
 
Renal physiology 5
Renal physiology 5Renal physiology 5
Renal physiology 5manoj000049
 
structure of nephrons(bikash)
structure of nephrons(bikash)structure of nephrons(bikash)
structure of nephrons(bikash)Bikash Singh
 
Nephron (The Guyton and Hall physiology)
Nephron (The Guyton and Hall physiology)Nephron (The Guyton and Hall physiology)
Nephron (The Guyton and Hall physiology)Maryam Fida
 

Tendances (20)

Structure of nephron and functions of its parts
Structure of nephron and functions of its partsStructure of nephron and functions of its parts
Structure of nephron and functions of its parts
 
Glomerular filtration
Glomerular filtrationGlomerular filtration
Glomerular filtration
 
Renal physiology, renal blood flow, autoregulation, golmerular filtration. hu...
Renal physiology, renal blood flow, autoregulation, golmerular filtration. hu...Renal physiology, renal blood flow, autoregulation, golmerular filtration. hu...
Renal physiology, renal blood flow, autoregulation, golmerular filtration. hu...
 
Mechanism of formation of urine
Mechanism of formation of urineMechanism of formation of urine
Mechanism of formation of urine
 
Parts, structure and functions of nephron
Parts, structure and functions of nephronParts, structure and functions of nephron
Parts, structure and functions of nephron
 
Tubular reabsorption (The Guyton and Hall physiology)
Tubular reabsorption (The Guyton and Hall physiology)Tubular reabsorption (The Guyton and Hall physiology)
Tubular reabsorption (The Guyton and Hall physiology)
 
Kidney anatomy, physiology and disorders
Kidney anatomy, physiology and disordersKidney anatomy, physiology and disorders
Kidney anatomy, physiology and disorders
 
Urinary System
Urinary SystemUrinary System
Urinary System
 
Renal handling of glucose and proteins & amino
Renal handling of glucose and proteins & aminoRenal handling of glucose and proteins & amino
Renal handling of glucose and proteins & amino
 
Histology of Kidney
Histology of KidneyHistology of Kidney
Histology of Kidney
 
Glomerular filtration rate (GFR)
Glomerular filtration rate (GFR)Glomerular filtration rate (GFR)
Glomerular filtration rate (GFR)
 
urine formation..mechanism,acidification,urinary buffers by dr.Tasnim
urine formation..mechanism,acidification,urinary buffers by dr.Tasnimurine formation..mechanism,acidification,urinary buffers by dr.Tasnim
urine formation..mechanism,acidification,urinary buffers by dr.Tasnim
 
Renal physiology
Renal physiology Renal physiology
Renal physiology
 
Renal physiology-1
Renal physiology-1Renal physiology-1
Renal physiology-1
 
Renal Physiology (I) - Kidney Function & Physiological Anatomy - Dr. Gawad
Renal Physiology (I) - Kidney Function & Physiological Anatomy - Dr. GawadRenal Physiology (I) - Kidney Function & Physiological Anatomy - Dr. Gawad
Renal Physiology (I) - Kidney Function & Physiological Anatomy - Dr. Gawad
 
Renal physiology
Renal physiologyRenal physiology
Renal physiology
 
Renal physiology 5
Renal physiology 5Renal physiology 5
Renal physiology 5
 
structure of nephrons(bikash)
structure of nephrons(bikash)structure of nephrons(bikash)
structure of nephrons(bikash)
 
Renal system physiology
Renal system physiologyRenal system physiology
Renal system physiology
 
Nephron (The Guyton and Hall physiology)
Nephron (The Guyton and Hall physiology)Nephron (The Guyton and Hall physiology)
Nephron (The Guyton and Hall physiology)
 

Similaire à 6. renal plasma clearance.ppt

Renal clearance test
Renal clearance testRenal clearance test
Renal clearance testANUSWARUM
 
Kidney function tests by moustafa rizk
Kidney function tests by moustafa rizkKidney function tests by moustafa rizk
Kidney function tests by moustafa rizkMoustafa Rezk
 
Renal function test
Renal function test   Renal function test
Renal function test docmveg
 
RENAL FUNCTION TESTS (RFT)
RENAL FUNCTION TESTS (RFT)RENAL FUNCTION TESTS (RFT)
RENAL FUNCTION TESTS (RFT)YESANNA
 
urea, creatinine,inulin clearance test.pptx
urea, creatinine,inulin clearance test.pptxurea, creatinine,inulin clearance test.pptx
urea, creatinine,inulin clearance test.pptxmrithyunjeyan
 
Renal Physio 1.pdf
Renal Physio 1.pdfRenal Physio 1.pdf
Renal Physio 1.pdfssuserf50148
 
Measurment of GFR and Renal Plasma Flow
Measurment of GFR and Renal Plasma FlowMeasurment of GFR and Renal Plasma Flow
Measurment of GFR and Renal Plasma FlowFaslu Rahman CK
 
Fisiologi Renal Smamda 7 November 2022.pptx
Fisiologi Renal Smamda 7 November 2022.pptxFisiologi Renal Smamda 7 November 2022.pptx
Fisiologi Renal Smamda 7 November 2022.pptxsatriyodwisuryantoro
 
Glomerular filtration rate and renal blood flow
Glomerular filtration rate and renal blood flow Glomerular filtration rate and renal blood flow
Glomerular filtration rate and renal blood flow aaronpaulbaliga
 
Functions of kidney
Functions of kidneyFunctions of kidney
Functions of kidneyrohini sane
 
1-Kidney Function Test .pptx
1-Kidney Function Test .pptx1-Kidney Function Test .pptx
1-Kidney Function Test .pptxalmawali10
 
GLOMERULAR FILTRATION RATE AND RENAL BLOOD FLOW 202.pptx
GLOMERULAR FILTRATION RATE AND RENAL BLOOD FLOW 202.pptxGLOMERULAR FILTRATION RATE AND RENAL BLOOD FLOW 202.pptx
GLOMERULAR FILTRATION RATE AND RENAL BLOOD FLOW 202.pptxAaron Paul Baliga
 
Renal function tests
Renal function testsRenal function tests
Renal function testsAbhra Ghosh
 
Renal anatomy and physiology in relation.pptx
Renal anatomy and physiology in relation.pptxRenal anatomy and physiology in relation.pptx
Renal anatomy and physiology in relation.pptxibrahimelkathiri1
 

Similaire à 6. renal plasma clearance.ppt (20)

Renal clearance test
Renal clearance testRenal clearance test
Renal clearance test
 
Kidney function tests by moustafa rizk
Kidney function tests by moustafa rizkKidney function tests by moustafa rizk
Kidney function tests by moustafa rizk
 
limitation and scope.pptx
limitation and scope.pptxlimitation and scope.pptx
limitation and scope.pptx
 
Renal function test
Renal function test   Renal function test
Renal function test
 
RENAL FUNCTION TESTS (RFT)
RENAL FUNCTION TESTS (RFT)RENAL FUNCTION TESTS (RFT)
RENAL FUNCTION TESTS (RFT)
 
urea, creatinine,inulin clearance test.pptx
urea, creatinine,inulin clearance test.pptxurea, creatinine,inulin clearance test.pptx
urea, creatinine,inulin clearance test.pptx
 
Renal Physio 1.pdf
Renal Physio 1.pdfRenal Physio 1.pdf
Renal Physio 1.pdf
 
Measurment of GFR and Renal Plasma Flow
Measurment of GFR and Renal Plasma FlowMeasurment of GFR and Renal Plasma Flow
Measurment of GFR and Renal Plasma Flow
 
Fisiologi Renal Smamda 7 November 2022.pptx
Fisiologi Renal Smamda 7 November 2022.pptxFisiologi Renal Smamda 7 November 2022.pptx
Fisiologi Renal Smamda 7 November 2022.pptx
 
Glomerular filtration rate and renal blood flow
Glomerular filtration rate and renal blood flow Glomerular filtration rate and renal blood flow
Glomerular filtration rate and renal blood flow
 
Functions of kidney
Functions of kidneyFunctions of kidney
Functions of kidney
 
1-Kidney Function Test .pptx
1-Kidney Function Test .pptx1-Kidney Function Test .pptx
1-Kidney Function Test .pptx
 
1-Kidney Function Test .pptx
1-Kidney Function Test .pptx1-Kidney Function Test .pptx
1-Kidney Function Test .pptx
 
GLOMERULAR FILTRATION RATE AND RENAL BLOOD FLOW 202.pptx
GLOMERULAR FILTRATION RATE AND RENAL BLOOD FLOW 202.pptxGLOMERULAR FILTRATION RATE AND RENAL BLOOD FLOW 202.pptx
GLOMERULAR FILTRATION RATE AND RENAL BLOOD FLOW 202.pptx
 
Renal function tests
Renal function testsRenal function tests
Renal function tests
 
Renal Clearance
Renal ClearanceRenal Clearance
Renal Clearance
 
URINE FORMATION
URINE FORMATIONURINE FORMATION
URINE FORMATION
 
renal function tests by Dr siva kumar
renal function tests by Dr siva kumarrenal function tests by Dr siva kumar
renal function tests by Dr siva kumar
 
Renal anatomy and physiology in relation.pptx
Renal anatomy and physiology in relation.pptxRenal anatomy and physiology in relation.pptx
Renal anatomy and physiology in relation.pptx
 
04 GFR.pptx
04 GFR.pptx04 GFR.pptx
04 GFR.pptx
 

Plus de Ramadan physiology

physiology of lymphatic and immune system.ppt
physiology of lymphatic and immune system.pptphysiology of lymphatic and immune system.ppt
physiology of lymphatic and immune system.pptRamadan physiology
 
mental health and cardiovascular diseases (1).pptx
mental health and cardiovascular diseases (1).pptxmental health and cardiovascular diseases (1).pptx
mental health and cardiovascular diseases (1).pptxRamadan physiology
 
3. physiology of renal tubules(1).ppt
3. physiology of renal tubules(1).ppt3. physiology of renal tubules(1).ppt
3. physiology of renal tubules(1).pptRamadan physiology
 
Higher brain functions., (physiology)
Higher brain functions., (physiology)Higher brain functions., (physiology)
Higher brain functions., (physiology)Ramadan physiology
 

Plus de Ramadan physiology (8)

physiology of puberty.pptx
physiology of puberty.pptxphysiology of puberty.pptx
physiology of puberty.pptx
 
physiology of lymphatic and immune system.ppt
physiology of lymphatic and immune system.pptphysiology of lymphatic and immune system.ppt
physiology of lymphatic and immune system.ppt
 
7. pancr secr.ppt
7. pancr secr.ppt7. pancr secr.ppt
7. pancr secr.ppt
 
mental health and cardiovascular diseases (1).pptx
mental health and cardiovascular diseases (1).pptxmental health and cardiovascular diseases (1).pptx
mental health and cardiovascular diseases (1).pptx
 
3. physiology of renal tubules(1).ppt
3. physiology of renal tubules(1).ppt3. physiology of renal tubules(1).ppt
3. physiology of renal tubules(1).ppt
 
Ramadan- GIT physiology.pdf
Ramadan- GIT physiology.pdfRamadan- GIT physiology.pdf
Ramadan- GIT physiology.pdf
 
Higher brain functions., (physiology)
Higher brain functions., (physiology)Higher brain functions., (physiology)
Higher brain functions., (physiology)
 
Renal physiology
Renal physiology Renal physiology
Renal physiology
 

Dernier

Call Girls Horamavu WhatsApp Number 7001035870 Meeting With Bangalore Escorts
Call Girls Horamavu WhatsApp Number 7001035870 Meeting With Bangalore EscortsCall Girls Horamavu WhatsApp Number 7001035870 Meeting With Bangalore Escorts
Call Girls Horamavu WhatsApp Number 7001035870 Meeting With Bangalore Escortsvidya singh
 
Best Rate (Hyderabad) Call Girls Jahanuma ⟟ 8250192130 ⟟ High Class Call Girl...
Best Rate (Hyderabad) Call Girls Jahanuma ⟟ 8250192130 ⟟ High Class Call Girl...Best Rate (Hyderabad) Call Girls Jahanuma ⟟ 8250192130 ⟟ High Class Call Girl...
Best Rate (Hyderabad) Call Girls Jahanuma ⟟ 8250192130 ⟟ High Class Call Girl...astropune
 
(Rocky) Jaipur Call Girl - 09521753030 Escorts Service 50% Off with Cash ON D...
(Rocky) Jaipur Call Girl - 09521753030 Escorts Service 50% Off with Cash ON D...(Rocky) Jaipur Call Girl - 09521753030 Escorts Service 50% Off with Cash ON D...
(Rocky) Jaipur Call Girl - 09521753030 Escorts Service 50% Off with Cash ON D...indiancallgirl4rent
 
Bangalore Call Girl Whatsapp Number 100% Complete Your Sexual Needs
Bangalore Call Girl Whatsapp Number 100% Complete Your Sexual NeedsBangalore Call Girl Whatsapp Number 100% Complete Your Sexual Needs
Bangalore Call Girl Whatsapp Number 100% Complete Your Sexual NeedsGfnyt
 
♛VVIP Hyderabad Call Girls Chintalkunta🖕7001035870🖕Riya Kappor Top Call Girl ...
♛VVIP Hyderabad Call Girls Chintalkunta🖕7001035870🖕Riya Kappor Top Call Girl ...♛VVIP Hyderabad Call Girls Chintalkunta🖕7001035870🖕Riya Kappor Top Call Girl ...
♛VVIP Hyderabad Call Girls Chintalkunta🖕7001035870🖕Riya Kappor Top Call Girl ...astropune
 
Call Girls Bangalore Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Bangalore Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Bangalore Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Bangalore Just Call 9907093804 Top Class Call Girl Service AvailableDipal Arora
 
All Time Service Available Call Girls Marine Drive 📳 9820252231 For 18+ VIP C...
All Time Service Available Call Girls Marine Drive 📳 9820252231 For 18+ VIP C...All Time Service Available Call Girls Marine Drive 📳 9820252231 For 18+ VIP C...
All Time Service Available Call Girls Marine Drive 📳 9820252231 For 18+ VIP C...Arohi Goyal
 
Call Girls Siliguri Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Siliguri Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Siliguri Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Siliguri Just Call 9907093804 Top Class Call Girl Service AvailableDipal Arora
 
VIP Mumbai Call Girls Hiranandani Gardens Just Call 9920874524 with A/C Room ...
VIP Mumbai Call Girls Hiranandani Gardens Just Call 9920874524 with A/C Room ...VIP Mumbai Call Girls Hiranandani Gardens Just Call 9920874524 with A/C Room ...
VIP Mumbai Call Girls Hiranandani Gardens Just Call 9920874524 with A/C Room ...Garima Khatri
 
Chandrapur Call girls 8617370543 Provides all area service COD available
Chandrapur Call girls 8617370543 Provides all area service COD availableChandrapur Call girls 8617370543 Provides all area service COD available
Chandrapur Call girls 8617370543 Provides all area service COD availableDipal Arora
 
VIP Service Call Girls Sindhi Colony 📳 7877925207 For 18+ VIP Call Girl At Th...
VIP Service Call Girls Sindhi Colony 📳 7877925207 For 18+ VIP Call Girl At Th...VIP Service Call Girls Sindhi Colony 📳 7877925207 For 18+ VIP Call Girl At Th...
VIP Service Call Girls Sindhi Colony 📳 7877925207 For 18+ VIP Call Girl At Th...jageshsingh5554
 
Call Girls Kochi Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Kochi Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Kochi Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Kochi Just Call 9907093804 Top Class Call Girl Service AvailableDipal Arora
 
Call Girls Tirupati Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Tirupati Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Tirupati Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Tirupati Just Call 9907093804 Top Class Call Girl Service AvailableDipal Arora
 
Call Girls Service Surat Samaira ❤️🍑 8250192130 👄 Independent Escort Service ...
Call Girls Service Surat Samaira ❤️🍑 8250192130 👄 Independent Escort Service ...Call Girls Service Surat Samaira ❤️🍑 8250192130 👄 Independent Escort Service ...
Call Girls Service Surat Samaira ❤️🍑 8250192130 👄 Independent Escort Service ...CALL GIRLS
 
Night 7k to 12k Navi Mumbai Call Girl Photo 👉 BOOK NOW 9833363713 👈 ♀️ night ...
Night 7k to 12k Navi Mumbai Call Girl Photo 👉 BOOK NOW 9833363713 👈 ♀️ night ...Night 7k to 12k Navi Mumbai Call Girl Photo 👉 BOOK NOW 9833363713 👈 ♀️ night ...
Night 7k to 12k Navi Mumbai Call Girl Photo 👉 BOOK NOW 9833363713 👈 ♀️ night ...aartirawatdelhi
 
Book Paid Powai Call Girls Mumbai 𖠋 9930245274 𖠋Low Budget Full Independent H...
Book Paid Powai Call Girls Mumbai 𖠋 9930245274 𖠋Low Budget Full Independent H...Book Paid Powai Call Girls Mumbai 𖠋 9930245274 𖠋Low Budget Full Independent H...
Book Paid Powai Call Girls Mumbai 𖠋 9930245274 𖠋Low Budget Full Independent H...Call Girls in Nagpur High Profile
 
Call Girls Nagpur Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Nagpur Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Nagpur Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Nagpur Just Call 9907093804 Top Class Call Girl Service AvailableDipal Arora
 
Night 7k to 12k Chennai City Center Call Girls 👉👉 7427069034⭐⭐ 100% Genuine E...
Night 7k to 12k Chennai City Center Call Girls 👉👉 7427069034⭐⭐ 100% Genuine E...Night 7k to 12k Chennai City Center Call Girls 👉👉 7427069034⭐⭐ 100% Genuine E...
Night 7k to 12k Chennai City Center Call Girls 👉👉 7427069034⭐⭐ 100% Genuine E...hotbabesbook
 
Call Girls Bareilly Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Bareilly Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Bareilly Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Bareilly Just Call 9907093804 Top Class Call Girl Service AvailableDipal Arora
 
Manyata Tech Park ( Call Girls ) Bangalore ✔ 6297143586 ✔ Hot Model With Sexy...
Manyata Tech Park ( Call Girls ) Bangalore ✔ 6297143586 ✔ Hot Model With Sexy...Manyata Tech Park ( Call Girls ) Bangalore ✔ 6297143586 ✔ Hot Model With Sexy...
Manyata Tech Park ( Call Girls ) Bangalore ✔ 6297143586 ✔ Hot Model With Sexy...vidya singh
 

Dernier (20)

Call Girls Horamavu WhatsApp Number 7001035870 Meeting With Bangalore Escorts
Call Girls Horamavu WhatsApp Number 7001035870 Meeting With Bangalore EscortsCall Girls Horamavu WhatsApp Number 7001035870 Meeting With Bangalore Escorts
Call Girls Horamavu WhatsApp Number 7001035870 Meeting With Bangalore Escorts
 
Best Rate (Hyderabad) Call Girls Jahanuma ⟟ 8250192130 ⟟ High Class Call Girl...
Best Rate (Hyderabad) Call Girls Jahanuma ⟟ 8250192130 ⟟ High Class Call Girl...Best Rate (Hyderabad) Call Girls Jahanuma ⟟ 8250192130 ⟟ High Class Call Girl...
Best Rate (Hyderabad) Call Girls Jahanuma ⟟ 8250192130 ⟟ High Class Call Girl...
 
(Rocky) Jaipur Call Girl - 09521753030 Escorts Service 50% Off with Cash ON D...
(Rocky) Jaipur Call Girl - 09521753030 Escorts Service 50% Off with Cash ON D...(Rocky) Jaipur Call Girl - 09521753030 Escorts Service 50% Off with Cash ON D...
(Rocky) Jaipur Call Girl - 09521753030 Escorts Service 50% Off with Cash ON D...
 
Bangalore Call Girl Whatsapp Number 100% Complete Your Sexual Needs
Bangalore Call Girl Whatsapp Number 100% Complete Your Sexual NeedsBangalore Call Girl Whatsapp Number 100% Complete Your Sexual Needs
Bangalore Call Girl Whatsapp Number 100% Complete Your Sexual Needs
 
♛VVIP Hyderabad Call Girls Chintalkunta🖕7001035870🖕Riya Kappor Top Call Girl ...
♛VVIP Hyderabad Call Girls Chintalkunta🖕7001035870🖕Riya Kappor Top Call Girl ...♛VVIP Hyderabad Call Girls Chintalkunta🖕7001035870🖕Riya Kappor Top Call Girl ...
♛VVIP Hyderabad Call Girls Chintalkunta🖕7001035870🖕Riya Kappor Top Call Girl ...
 
Call Girls Bangalore Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Bangalore Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Bangalore Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Bangalore Just Call 9907093804 Top Class Call Girl Service Available
 
All Time Service Available Call Girls Marine Drive 📳 9820252231 For 18+ VIP C...
All Time Service Available Call Girls Marine Drive 📳 9820252231 For 18+ VIP C...All Time Service Available Call Girls Marine Drive 📳 9820252231 For 18+ VIP C...
All Time Service Available Call Girls Marine Drive 📳 9820252231 For 18+ VIP C...
 
Call Girls Siliguri Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Siliguri Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Siliguri Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Siliguri Just Call 9907093804 Top Class Call Girl Service Available
 
VIP Mumbai Call Girls Hiranandani Gardens Just Call 9920874524 with A/C Room ...
VIP Mumbai Call Girls Hiranandani Gardens Just Call 9920874524 with A/C Room ...VIP Mumbai Call Girls Hiranandani Gardens Just Call 9920874524 with A/C Room ...
VIP Mumbai Call Girls Hiranandani Gardens Just Call 9920874524 with A/C Room ...
 
Chandrapur Call girls 8617370543 Provides all area service COD available
Chandrapur Call girls 8617370543 Provides all area service COD availableChandrapur Call girls 8617370543 Provides all area service COD available
Chandrapur Call girls 8617370543 Provides all area service COD available
 
VIP Service Call Girls Sindhi Colony 📳 7877925207 For 18+ VIP Call Girl At Th...
VIP Service Call Girls Sindhi Colony 📳 7877925207 For 18+ VIP Call Girl At Th...VIP Service Call Girls Sindhi Colony 📳 7877925207 For 18+ VIP Call Girl At Th...
VIP Service Call Girls Sindhi Colony 📳 7877925207 For 18+ VIP Call Girl At Th...
 
Call Girls Kochi Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Kochi Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Kochi Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Kochi Just Call 9907093804 Top Class Call Girl Service Available
 
Call Girls Tirupati Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Tirupati Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Tirupati Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Tirupati Just Call 9907093804 Top Class Call Girl Service Available
 
Call Girls Service Surat Samaira ❤️🍑 8250192130 👄 Independent Escort Service ...
Call Girls Service Surat Samaira ❤️🍑 8250192130 👄 Independent Escort Service ...Call Girls Service Surat Samaira ❤️🍑 8250192130 👄 Independent Escort Service ...
Call Girls Service Surat Samaira ❤️🍑 8250192130 👄 Independent Escort Service ...
 
Night 7k to 12k Navi Mumbai Call Girl Photo 👉 BOOK NOW 9833363713 👈 ♀️ night ...
Night 7k to 12k Navi Mumbai Call Girl Photo 👉 BOOK NOW 9833363713 👈 ♀️ night ...Night 7k to 12k Navi Mumbai Call Girl Photo 👉 BOOK NOW 9833363713 👈 ♀️ night ...
Night 7k to 12k Navi Mumbai Call Girl Photo 👉 BOOK NOW 9833363713 👈 ♀️ night ...
 
Book Paid Powai Call Girls Mumbai 𖠋 9930245274 𖠋Low Budget Full Independent H...
Book Paid Powai Call Girls Mumbai 𖠋 9930245274 𖠋Low Budget Full Independent H...Book Paid Powai Call Girls Mumbai 𖠋 9930245274 𖠋Low Budget Full Independent H...
Book Paid Powai Call Girls Mumbai 𖠋 9930245274 𖠋Low Budget Full Independent H...
 
Call Girls Nagpur Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Nagpur Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Nagpur Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Nagpur Just Call 9907093804 Top Class Call Girl Service Available
 
Night 7k to 12k Chennai City Center Call Girls 👉👉 7427069034⭐⭐ 100% Genuine E...
Night 7k to 12k Chennai City Center Call Girls 👉👉 7427069034⭐⭐ 100% Genuine E...Night 7k to 12k Chennai City Center Call Girls 👉👉 7427069034⭐⭐ 100% Genuine E...
Night 7k to 12k Chennai City Center Call Girls 👉👉 7427069034⭐⭐ 100% Genuine E...
 
Call Girls Bareilly Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Bareilly Just Call 9907093804 Top Class Call Girl Service AvailableCall Girls Bareilly Just Call 9907093804 Top Class Call Girl Service Available
Call Girls Bareilly Just Call 9907093804 Top Class Call Girl Service Available
 
Manyata Tech Park ( Call Girls ) Bangalore ✔ 6297143586 ✔ Hot Model With Sexy...
Manyata Tech Park ( Call Girls ) Bangalore ✔ 6297143586 ✔ Hot Model With Sexy...Manyata Tech Park ( Call Girls ) Bangalore ✔ 6297143586 ✔ Hot Model With Sexy...
Manyata Tech Park ( Call Girls ) Bangalore ✔ 6297143586 ✔ Hot Model With Sexy...
 

6. renal plasma clearance.ppt

  • 2. Learning Objectives • Describe the concept of renal plasma clearance. • Use the formula for measuring renal clearance. • Use clearance principles for inulin, creatinine etc. for determination of GFR. • Explain why it is easier for a physician to use creatinine clearance Instead of Inulin for the estimation of GFR. • Describe glucose and urea clearance. • Explain why we use of PAH clearance for measuring renal blood flow. 2
  • 3. Basic Renal Processes 1. Filtration (F) 2. Reabsorption (R) 3. Secretion (S) Excretion = F + S - R Urine Formation Afferent Arteriole Efferent Arteriole Glomerulus Bowman’s Capsule Renal Tubule Peritubular Capillary Conceptual Point: Filtration is the most basic “mode” of renal substance handling. - solutes need pass the filter barrier - no specific transport processes - if there is no reabsorption or secretion, then the substance will be excreted. There are very few “filtered-only” solutes. Most are also reabsorbed and/or secreted.
  • 4. Basic Renal Processes 1. Filtration (F) 2. Reabsorption (R) 3. Secretion (S) Excretion = F + S - R Urine Formation Afferent Arteriole Efferent Arteriole Glomerulus Bowman’s Capsule Renal Tubule Peritubular Capillary Some Examples: Substances that are Filtered then Reabsorbed >99.9% 799.5 ∼0.5 800 Glucose mM/day >99.9% 4,498 ∼2 4,500 HCO3 mM/day 99.3% 19,850 150 20,000 Cl mM/day 99.4% 24,850 150 25,000 Na mM/day 99.2% 178.5 ∼1.5 180 H2O L/day % of filtered load reabsorbed Amount Reabsorbed Amount Excreted Amount Filtered Substance, units ► This “filtered then almost completely reabsorbed” scenario is certainly not the case for all solutes.
  • 5. Some Important Renal Physiology Numbers ► Renal Blood Flow RBF 1.2 L/min (1200ml) ► Renal Plasma Flow RPF 625 ml/min RPF = RBF x (1 – hematocrit) typical hematocrit is ~0.43, so RPF is 1.1x0.57. ► Glomerular Filtration Rate GFR 125 ml/min ► Urine Flow Rate 1 ml/min ► Filtration Fraction GFR/RPF 20% 20% of plasma entering a glomerulus is filtered. Thus, 20% of any freely-filtered solute present enters Bowman’s space. Note that values given above can vary in different circumstances. Also remember that RBF far exceeds what kidney cells need to stay alive so RBF can vary dramatically without affecting kidney cell vitality.
  • 6. Concept of Clearance  Clearance is just a way to quantify renal handling of a substance. Clearance is defined as the volume of plasma “cleared” of a substance by the kidneys per minute. ( ml/min )  Clearance of a substance is often used to evaluate renal function. First…. we will define clearance in words. Volume of Plasma Cleared Now….Let’s see how we can calculate clearance. Note: Clearance units are volume per time. Clearance is not the amount of the substance removed but instead the volume of plasma from which it was removed. ▼ Every minute- 625 ml plasma goes to the kidney (RPF) 125ml/min are filtered forming filtrate (GFR) Remaining 500ml/min remain in the blood and enter into PC
  • 7. 7
  • 8.
  • 9. Concept of Clearance To calculate clearance of substance X- (CX), first need to calculate amount of X excreted in urine per unit time. Urine volume per min (ml/min) Urine X concentration Another hand the amount of substance X in “cleared plasma” can be expressed This formula is convenient because UX, PX and V are easily measured. you will need to remember this formula Product of plasma volume per unit time Plasma X concentration amount of X excreted in urine = UX · V amount of X in cleared plasma = PX · CX (amount X in cleared plasma) PX · CX = UX · V (amount X excreted in urine) PX CX = UX X V
  • 10. Inulin Clearance Inulin: polysaccharide, not a naturally occurring substance in body freely filtered but not reabsorbed or secreted ….so all inulin that is filtered will end up in the urine CINULIN is the “gold standard” for measuring GFR Volume filtered is volume cleared. (125ml/min) GFR = CINULIN = UINULIN · V PINULIN V = urine produced in ml/min UINULIN = urine inulin concentration PINULIN = plasma inulin concentration The main clinical drawback here is that inulin must be continuously infused while urine is collected (this is usually a day or so).
  • 11. PA(inulin)x RPF PV(inulin)x RPF Filtered = Pin X GFR Excreted = Uin X V Filtered = Excreted Pin X GFR = Uin X V No reabs; No secretion. Inulin clearance
  • 12. PAH Clearance PAH: para-aminohippurate is also not naturally in the body it is freely filtered and completely secreted….so both filtered and secreted PAH will end up in the urine CPAH is clinically used to estimate RPF RPF = CPAH = UPAH · V PPAH V = urine produced in ml/min UPAH = urine PAH concentration PPAH = plasma PAH concentration Cleared volume much larger than filtered volume. So large in fact that it “effectively” approaches RPF Recall that…. RPF = RBF x (1- 0.45) so…. RBF = CPAH 0.55 hematocrit
  • 13. PA PAH x RPF PV PAHx RPF = 0 Near-complete extraction in one passage through kidney. UPAH V
  • 14. Glucose Clearance Glucose: is freely filtered like inulin. However that no glucose appears in the urine because glucose is completely reabsorbed as it passes through tubules This means all of the glucose that comes to the kidney is saved and leaves the kidney in the plasma membrane Glucose 0 Completely reabsorbed Inulin 125 Not reabsorbed and not secreted PAH 625 Completely secreted Normal Clearance Value (ml/min)
  • 15. Creatinine Clearance Creatinine: produced from creatine metabolism in muscle production rate usually very constant (if muscle mass constant) freely filtered and not reabsorbed …little bit is secreted (this makes it a good but imperfect substitute for inulin) CCR is clinically used to routinely access GFR “GFR” = CCR = UCR · V PCR V = urine produced in ml/min UCR = urine CR concentration PCR = plasma CR concentration There is a nice inverse relationship between PCR and “GFR” Normal PCR = 1 mg/dl PCR
  • 16. If GFR drops by 50%, then PCR doubles ( 2 mg/dl ). Creatinine Clearance Creatinine: produced from creatine metabolism in muscle production rate usually very constant (if muscle mass constant) freely filtered and not reabsorbed …little bit is secreted (this makes it a good but imperfect substitute for inulin) CCR is clinically used to routinely access GFR “GFR” = CCR = UCR · V PCR V = urine produced in ml/min UCR = urine CR concentration PCR = plasma CR concentration There is a nice inverse relationship between PCR and “GFR” Normal PCR = 1 mg/dl 50% GFR ●Thus, a single PCR value can be used to roughly estimate GFR. (level of creatinine excreation = level creatinine production in the body - balance concept)
  • 17. PA cr x RPF PV crx RPF Filtered = PcrX GFR Excreted = Ucr X V Filtered = Excreted Pcr X GFR = Ucr X V No reabs; No secretion. Small amount is secreted
  • 18. Urea Clearance Test: • The patient evacuates his bladder, then drinks a glass of water. • After 1 hr  blood & urine samples are taken & he drinks another glass of water. • After 2 hrs  another urine sample is taken. • The urine vol. /min. is calculated. – If it is above 2 ml /min  we get the maximal urea clearance. MC = (U) x (V) / (P) = 75 ml /min. (normally). – If it is below 2 ml /min  we get the standard urea clerance. SC = (U) x (V) / (P) = 54 ml /min. (normally) (U) = Conc. of urea in 1 ml urine. (V) = Vol. of urine /min. (P) = Conc. of urea in 1 ml plasma. 18
  • 19. Renal Clearance Summary • Plasma clearance tests can be used for: – Measurement of the glomerular filtration rate. – Measurement of the renal plasma flow rate (& from there we can calculate the renal blood flow rate). – Determining the renal handling of the different substances; whether or not the substance is reabsorbed or secreted by the renal tubules. 19
  • 20. Application The following information was obtained from a human subject: • Plasma inulin= 1 mg / ml. • Urine inulin =150mg/ml. • Urine flow rate = 1 ml / min. • Plasma level of substance X = 2 mg / ml. • Urine substance X = 100 mg / ml. Assuming that X is a freely filtered substance, which of the following statements is most correct? • a) There is net secretion of substance X. • b) There is net reabsorption of substance X. • c) There is both reabsorption and secretion of substance X. • d) The clearance of substance X could be used to measure the GFR. • e) The clearance of substance X is greater than the clearance of inulin. 20
  • 21. Application If plasma inulin concentration is 0.2 μg/mL, urine flow is 2 mL/min, and urine inulin concentration is 9 μg/mL, what is GFR? • A. 90 mL/min • B. 45 mL/min • C. 100 mL/min • D. None of the above are correct. 21
  • 22. Application If plasma inulin concentration is 0.2 μg/mL, urine flow is 2 mL/min, and urine inulin concentration is 9 μg/mL, what is GFR? • A. 90 mL/min • B. 45 mL/min • C. 100 mL/min • D. None of the above are correct. 22
  • 23. Application If plasma inulin concentration is 0.2 μg/mL, urine flow is 2 mL/min, and urine inulin concentration is 9 μg/mL, what is GFR? • A. 90 mL/min • B. 45 mL/min • C. 100 mL/min • D. None of the above are correct. 23
  • 24. Application Renal clearance. If Us = 500 mg/L, V = 0.1 L (in an hour), Ps = 5 mg/L, then Cs equals: • a. 10 L/hr • b. 25000 L/hr • c. 250 L/hr • d. 50 L/hr 24
  • 25. Application A person is infused with PAH and, after equilibration, PPAH is 0.02 mg/ml. At this time, urine flow is 2 ml/min and UPAH is 4 mg/ml. What is renal plasma flow? • a. 200 ml/min • b. 300 ml/min • c. 500 ml/min • d. 1000 ml/min • e. none of the above are correct. 25
  • 26. 26