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346
ABP (mm Hg)
FV-MCA (cm/s)
0
FV-MCA (cm/s)
0
a
b
C. Puppo et al.
200
160
120
200
160
120
CrCp
80
40
0
0204060
CrCp
80
40
Vasospasm
basal
80
ABP (mm Hg)
ipsilateral
100120 14
contralateral
0
0204060
80
100120 14
Fig. 20.2 Critical closing pressure values in two different patients [modied from [7]] Critical closing pressure (CrCP) in a patient who developed vasospasm in the middle cerebral artery (FV
) is shown in panel “a”. CrCP value during vasospasm was lower than 10mmHg, while the
MCA
baseline value, prior to the onset of vasospasm, was 40mmHg. In panel “b” the difference in CrCP between the vasospasm side and the contralateral (no vasospasm), is shown, with values close to 15 and 30mmHg respectively. In this way, a temporary and regional evaluation of the changes of the CrCP was obtained. A CrCP decrease was demonstrated in cerebral vasospasm. The hypothesis of the researchers was the opposite, since they had assumed that the increase in resistance caused by middle cerebral artery vasospasm would increase CrCP.The importance of distal vasodilation of small arteriolar vessels, as the origin of this decrease in CrCP is underlined. Since TCD insonates the spastic segment, the increased FV at this level is the result of a decrease in the diameter of the artery; on the other hand, the decrease in cerebrovascular resistance is due to arteriolar reactive vasodilation. [ABP: arterial blood pressure]
20 Critical Closing Pressure in Acute Brain Injury: Usefulness of Transcranial…
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20.5.2 Critical Closing Pressure andIntracranial Hypertension
With controlled increase in ICP in patients with normotensive hydrocephalus, we will refer to two research papers on ICP-controlled increase in patients with normo­tensive hydrocephalus.
(a) Monitoring data obtained in a clinical study in patients with suspected normo-
tensive hydrocephalus were retrospectively used to study CrCP and its changes during a controlled rise in ICP [11]. The lumbar infusion test evaluates how cerebral hemodynamics reacts to an increase in volume; in patients with normo­tensive hydrocephalus, it helps to predict the need for placement of a peritoneal ventricular shunt or to change a dysfunctional shunt. Thirty-seven patients were studied. ICP was recorded by means of a lumbar catheter, continuous non­invasive ABP with Finapres and CBFV with TCD, during a slow lumbar infu­sion of normal saline. CrCP was calculated using three methods: A method described by Aaslid using the rst harmonics of ABP and CBFV pulsatile wave­forms and two methods based on Varsos cerebrovascular impedance model, using CPP or ABP [appendix]. They found good agreement among the three CrCP calculation methods, with correlation coefcients greater than 0.8. During the controlled increase in ICP, CrCP values increased signicantly with all three methods. The strongest correlation between ICP and CrCP was found for the impedance method that used CPP in its formula. This study evaluates and compares the three methods. With the Aaslid method [appendix], negative results of CrCP frequently appear; they were not observed with the impedance multiparameter methods. These researchers conclude that invasive CrCP (Varsos method including CPP instead of ABP) is more sensitive to variations in ICP and can be used as an indicator of the reserve of the cerebrovascular system during infusion tests. The authors do not discuss the origin of the increase in the CrCP in this work. As CrCP is the sum of two components, ICP and parietal tension, the interpretation of this CrCP increase has to be searched in the behavior of these two parameters. ICP increased (it was the objective of the test). Wall tension may have decreased or increased, since the change in the vasoconstriction or vasodilation state of the resistance arterioles depends on the CPP that reaches the arteriolar sector and the state of autoregulation. In the event of an increase in ICP without compensation, CPP would go down, but a reex increase in ABP may turn up to maintain (or even raise) CPP.In case of a not compensated decrease in CPP, this should cause an autoregulatory response with vasodilation of small resistance vessels, with a decrease in wall tension. If CPP were maintained, there would be no changes in wall tension, and if it increased, the normal autoregulatory response would generate an increase in resistance. We can conclude that compensatory vasodilation, if it existed, was of a lesser degree than the rise of ICP.
348
(b) Another work by Varsos etal. [12] studied the possible correlations between
cerebral hemodynamic indices based on CrCP and the compensatory dynamics of cerebrospinal uid, also evaluated during lumbar infusion tests. They evalu­ated data from 34 patients with normotensive hydrocephalus undergoing infu­sion tests, with simultaneous monitoring of CBFV by TCD.CrCP was calculated from the monitored signals: ICP, ABP, and CBFV, while the vascular wall ten­sion was estimated as WT=CrCP- ICP.The closing margin was calculated as the difference between ABP and CrCP.ICP increased during the infusion from 7±5 to 25 ± 11mmHg (mean±SD), which caused an increase of CrCP of 23%, with WT decreasing by 11% due to vasodilation. CM showed a tendency to decrease, although not signicantly, due to a 9% increase in ABP.In general, CrCP increases and WT decreases during infusion tests, while the initial CM may act as an indicator that characterizes the compensatory reserve of the cere­brospinal sector.
C. Puppo et al.
20.5.3 Spontaneous Increase inICP inPatients withNeurotrauma
This second study aimed to describe the behavior of CrCP and WT during spontane­ous increases in ICP, with the characteristics of plateau waves. The objective of this work was to quantify the ischemic risk during these waves. These researchers used Varsos’s multiparametric method, which is based on the cerebrovascular impedance module. Arteriolar WT was estimated as CrCP–ICP.Clinical data included records of ABP, ICP, and CBFV of 38 plateau wave events, recorded in 20 patients with TBI.CrCP increased signicantly from 52±9mmHg at the beginning of the study to 63±11 mmHg at the top of the plateau waves (mean±SD; p<0.001). WT decreased signicantly during plateau waves by 34.3% (p< 0.001), which is in favor of their vasodilator origin. No non-physiological negative values of CrCP were observed that have been described with the traditional methods for its calcula­tion; therefore, the method used resulted in a more plausible estimate of the CrCP than the “graphic” methods. The researchers conclude that increased CrCP during plateau waves increases the likelihood of cerebral vascular collapse and zero ow when the difference: ABP–CrCP (“the collapsing margin”) becomes zero or negative.
20.5.4 Critical Closing Pressure inSeptic Patients
20.5.4.1 Experimental Endotoxemia
A prospective study in critical care studied CrCP in 40 volunteers and 10 septic patients [13]. An experimental endotoxemia was generated in volunteers by the administration of bacterial lipopolysaccharides (LPS). The registered changes were
20 Critical Closing Pressure in Acute Brain Injury: Usefulness of Transcranial…
349
compared with those of 10 septic patients with or without septic shock. CrCP was estimated using the cerebrovascular impedance model, recording CBFV and inva­sive ABP (no ICP). Volunteers who received LPS were randomized to receive an infusion of one of the following vasopressor drugs: norepinephrine (NE), phenyl­ephrine (PhE), or vasopressin (VP). The corresponding vasopressor drug was started 1 hour before the administration of LPS, and the infusion was administered for 5hours. In the third group, placebo was administered. In septic patients, the deci­sion to use vasopressors and uids, as well as which uid to use, was freely taken by the treating medical team. The objective was to achieve normovolemia and an average blood pressure>65mmHg, using NE.
The LPS bolus was followed by a decrease in CrCP, without differences
between groups.
In septic patients, CrCP was 35.7mmHg, lower than that presented by volunteers after receiving LPS.After the administration of LPS, CBFV decreased, most likely as a result of the decrease in Circle of Willis outow to the middle and anterior cerebral arteries, not compensated for by distal vasodilation. This decrease in ow shows that autoregulation is not functioning at the pressures studied. However, the decrease in CrCP maintains for a longer time an adequate effective cerebral perfu­sion pressure constituting a protective mechanism against ischemia. The authors conclude that human experimental endotoxemia results in a decrease in CrCP due to the decrease in resistance of the cerebral arterial bed (arteriolar dilation), which is not prevented by vasopressors. The alterations presented in septic patients are similar to those of volunteers who are administered LPS.
20.5.5 Critical Closing Pressure inSurvivors ofCardiac Arrest
A study estimated CrCP during post-cardiac arrest syndrome (post-CA) and deter­mined whether it differs between survivors and non-survivors [14]. It also compared post-CA patients with normal controls. This prospective observational study was conducted in the ICU of a tertiary university hospital in Nijmegen, the Netherlands. Eleven patients in coma resuscitated from CA, treated with mild therapeutic hypo­thermia, and 10 normal controls were studied. CBFV was recorded in the middle cerebral artery at several time points after admission to the ICU.CrCP was deter­mined by Varsos model using ABP instead of CPP.CBFV at ICU admission was similar in patients who survived and in those who died, but throughout the observa­tion period it increased in patients who evolved to death compared to survivors. Immediate post-CA CBFV was signicantly lower in survivors compared to normal controls, with a gradual restoration to normal values. CrCP decreased signicantly from 61mmHg to 42mmHg in the rst 48hours and remained stable. CrCP was signicantly higher in survivors compared to non-survivors. CrCP immediately post-CA was also signicantly higher compared to the control group. The research­ers concluded that CrCP rises post-CA with high cerebrovascular resistance and low CBFV.This means that the effective CPP or closing margin is lower, suggesting that cerebral perfusion pressure should be maintained at a sufciently high level in
350
patients in post-CA, to avoid further ischemic brain damage. On the other hand, the lack of normalization of the cerebrovascular prole can be a predictor of poor results.
C. Puppo et al.

20.6 Conclusion

Intracranial hypertension, during controlled (infusion tests) or spontaneous (plateau waves) ICP increases, causes an increase in CrCP, and simultaneously a lower clos­ing margin with higher risk of ischemia if we are guided by CPP calculated as ABP–ICP.CrCP decreases in sepsis, which helps to maintain longer adequate effec­tive cerebral perfusion pressure constituting a protective mechanism against ischemia.

Appendix

Methods
Methods used to measure CrCP can be divided into two groups. All are based on data acquired with ABP and TCD, at a frequency that allows to reproduce arterial pulse and CBFV waves, for example, at 50Hz (50 measurements in 1second).
Group 1: Graphic Methods
The rst group is based on “graphic” concepts. The data used are non-invasive. It assumes that the relationship between ow and pressure is linear; therefore, when pressure falls below the minimum value recorded in the patient, the ow pressure relationship would be unchanged.
Changes in cerebral blood ow (through changes in CBFV) and arterial blood pressure are graphically evaluated; the line of best t between recorded values is found and its equation is calculated. This line is extrapolated to cross the pressure axis at a point (CrCP) where ow would be theoretically zero. There are three dif­ferent models using this approach.
Method Using theValues ofSeveral Pulse Waves (“Systo-Diastolic Method”)
Several simultaneous ABP and CBFV waves are selected, and only the maximum (systolic) and minimum (diastolic) values of each one are plotted, ABP in the x-axis and CBFV in the y-axis. Thus, a cloud of systolic points and another of diastolic
Systolic and diastolic acquired values CrCp estimated with systole-diastole method
time (seconds)
ABP (mmHg)
FV (cm/s)
20 Critical Closing Pressure in Acute Brain Injury: Usefulness of Transcranial…
45
130 120 110 100
40 35 30 25 20 15
90 80 70
650 660 670
680 690 700 20
60
50
40
30
20
FV (cm/s)
10
0
–10
–20
CrCp 27 mmHg
40 60 80 100 120
ABP (mmHg)
351
Fig. 20.3 Systole and diastole method. All waves of a certain time period are studied. In this case about 100seconds. Two values are obtained from each BFV pulse wave: maximum systolic and nal diastolic. The same process is repeated with the maximum and minimum values of each ABP wave (left panel). These values are shown on a scatterplot (right panel) displaying BFV in the abscissa (cm/s) and ABP in the ordinates (mmHg). Two point clouds are thus obtained: one with the systolic values of the selected BFV and ABP pulsatile waves (red line around the blue wave) and another with their diastolic values (blue wave). A line of best t is inserted between these points. The ABP point corresponding to the BFV zero value is the CrCP.In this example, the value of CrCP is 27mm Hg
points are obtained. These clouds are joined with the corresponding best t line, and this line is extrapolated to zero ow. The cut-off point of this line on the ABP axis (zero ow) corresponds to CrCP (Fig.20.3).
“Beat-by-Beat Method”
Instead of using several beats, one value per pulse is calculated. The descending values of a CBFV wave (in most models all points—ascending and descending— are used) are plotted against the simultaneous descending values of ABP (each point in the ABP pulse curve has its corresponding point in the descending part of the CBFV pulse curve). CBFV does not reach zero in diastole, but the line with the best t is extrapolated to the zero-ow point. The point in the abscissa (ABP) where this line reaches zero corresponds to the CrCP value (Figs.20.4 and 20.5).
Method Described by Aaslid
This method is similar to the previous ones, but instead of taking the recorded ABP and CBFV values, the values of the rst harmonic of both variables are taken. It has the advantage of eliminating the upper harmonics that distort the arterial wave. It uses Fourier analysis to determine the amplitude of the rst harmonic in the ABP and in the CBFV register. With this approach, it is possible to perform the regression analysis with almost perfect linear data. Using the value of the rst harmonic
352
seconds
100
125
100
ABP
ABP
C. Puppo et al.
75
50
25
,50
,30
,10
90
80
70
60
50
40
1,08 1,10 1,12 1,14 1,16 1,18 1,20
,70
seconds
1,10
,90
1,30
1,50
1,70
1,90
FV ABP FV ABP
ABP FV ABP FV
125
100
FV
FV
75
50
25
,90
,94
,98
1,02
1,06
1,10
1,14
1,18
1,22
1,26
1,30
1,34
1,38
seconds
Fig. 20.4 “Beat to beat” measurement method of the critical closing pressure of the cerebral cir­culation. CrCP is studied for each pulse. The record of several simultaneous waves of arterial blood pressure (ABP) and BFV is displayed on the left panel. A blue rectangle shows an ABP wave and the simultaneous PV wave. The values of the descending zones of each beat are displayed in blue in the central panel. The simultaneous studied data is shown in the right panel
eliminates, the distortions generated by the fact that the measurements are recorded at different sites and with artifact values due to the Windkessel effect. The Windkessel effect is the cushioning effect that ensures that the blood ow that is generated inter­mittently in the heart reaches the arteries, arterioles, and capillaries continuously. The ideal way of measuring these parameters (but for now impossible in clinical practice) would be to take both measures at the brain level. Actually, ABP is mea­sured far away from cerebral arteries, such as the radial artery. In this location, the wave is distorted with respect to what would be recorded directly in the cerebral vessels. This is due to the transmission of the pulse and the existence of reections or reverberations of the waves. The high-frequency components of the wave are more distorted than the fundamental component (rst harmonic). Therefore, elimi­nating the error caused by higher frequency harmonics before processing the data
()
()
11
ABP (mmHg)
FV (cm/s)
20 Critical Closing Pressure in Acute Brain Injury: Usefulness of Transcranial…
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Fig. 20.5 Linear correlation between data shown in (Fig.20.3), right panel. Each point in this graphic corresponds to a ABP and CBFV (FV) simultaneous value. The best t line is calculated and its linear extrapolation to zero ow crosses ABP axis at a value which is the CrCP of this pulse wave. In this case the value is higher than 40mm Hg
80
70
60
50
40
40 50 60 70
y=5,4+0,78*x
80 90 100
results in a more accurate estimate of the CrCP.For this reason, the waves are ana­lyzed with a Fourier transform, which nds the amplitude of the rst harmonic of both the ABP and the BFV, and its relative intensity. With this model, the formula that calculates the intersection of the descent of the ow with the axis of the abscissa, corresponding to zero ow, is the following:
CrCP ABP CBFVABP CBFV
=-
f
00
´
/
where CrCPf is the critical “ltered” closing pressure (calculated with the variables devoid of the mentioned distortion); ABP0 and CBFV0 refer to the average values of ABP and CBFV of each beat; and ABP1 and CBFV1 refer to the amplitude of the rst harmonic of ABP and CBFV (after the higher frequency components have been removed).
The above-analyzed methods, or “graphic methods,” are based on the shape of the recorded waves. They have the main drawback that negative, non-physiological CrCP values may result. If we rethink the concept of critical closure pressure, such as the blood pressure at which the circulation stops, we cannot nd a plausible physiological or pathophysiological explanation. Anyhow, these approaches can be used to see the trends of CrCP over time, evaluating the effects of drugs, pathologi­cal situations, etc., on the state of vasodilation or vasoconstriction of the arteriolar bed, and not as an absolute value. These values away from the physiological values are probably due to the fact that in the “graphic” models it is assumed that there is a linear relationship between the variables, a circumstance that is probably more complex.
354
()
21
C. Puppo et al.
Group 2: Multiparameter or Impedance Methods [14]
To overcome the negative value problem, researchers at the University of Cambridge have generated a more complex model, multiparameter model, or “impedance” model [14].
It is called multiparameter because, in addition to the values recorded directly from the ABP and the CBFV, it uses other parameters derived from the cerebral circulation for CrCP calculation. Several of them originate in turn from ABP and CBFV, such as arterial complacency and cerebrovascular resistance. The formula also uses heart rate, which can be inferred from any of the registers, from ABP or CBFV.Impedance is a similar concept to cerebrovascular resistance, but variable throughout the cycle (remember that the circulation is pulsatile). The formula used is
CrCP ABP
=-
CVRCaHR
CPP
´´ ´
2
+
p
As we can see, CPC value is included in this formula (CPP = ABP – ICP). However, in patients in whom there is no suspicion of an increase in ICP, this same formula has been used with ABP instead of ICP.

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