modeling the inflammatory-cardiovascular response during
TRANSCRIPT
Kristen Windoloski & Mette OlufsenNorth Carolina State University
Collaborator: Ronan BergRigshospitalet, Copenhagen, Denmark
June 2021
Modeling the inflammatory-cardiovascular response during sepsis
Sepsis Background
Bacteria enters the body and causes an infection
The infection spreads and enters the bloodstream, allowing it to travel to different parts of the body
Uncontrolled inflammation can result in major organ dysfunction and even death
Immune cells and cytokines work to fight the infection throughout the body, leading to unregulated inflammation
Neurological System
Respiratory System
Hematological System
Cardiovascular System
Renal System
Hepatic System
Macrophages
Granulocyte
Fibroblast
Endothelial Cells
Mast Cell
Lymphocyte
Sepsis Symptoms
Low blood pressure
High heart rate
ππΈππ‘ = βπ'πΈ
ππ)
ππ‘ = πΎ+)π) 1 βπ)
π-β π»+/ πΈ π+ + π+123π»+/ πππΉ π»+7 πΌπΏ10 π)
ππ;ππ‘
= π»+/ πΈ π+ + π+123π»+/ πππΉ π»+7 πΌπΏ10 π) β πΎ+;π;
ππππΉππ‘
= π123+π»1237 πΌπΏ6 π»1237 πΌπΏ10 π; β π123 πππΉ β π€123
ππΌπΏ6ππ‘
= π>+ + π>123π»?@>/ πππΉ π»?@>7 πΌπΏ6 π»?@>7 πΌπΏ10 π; β π> πΌπΏ6 β π€?@>
ππΌπΏ8ππ‘ = πB+ + πB123π»?@B/ πππΉ π»?@B7 πΌπΏ10 π; β πB πΌπΏ8 β π€?@B
ππΌπΏ10ππ‘
= πCD+ + πCD>π»?@CD/ πΌπΏ6 π; β πCD πΌπΏ10 β π€?@CD
Bolus Dose Inflammation Model
Monocytes
Cytokines
Endotoxin
E1EF= C
GH(βπ + πJ + π1 π+ β πJ (π123π»/ TNF β π123 + π1>π»/ IL6 β π?@> )βπ1CD(1 β π»7 IL10 β π?@CD )Temperature
ππ1ππ‘ = βπS1S πΈ π1 + πS1 π1,+ β π1Pain
ππππ‘
=π2+π;)TNF(t β ΞΊ WX,YZ[
)TNF(t β ΞΊ WX,YZ[ + π2,]^_WX,YZ[
π2CDWXH`
)IL10(t β ΞΊ WXH` + π2CDWXH`
β π2πNitric Oxide
Blood Flow & Volume
π β π»πdFe = π»(πf7 β πfg)
ππhππ‘ = πhi β πjkF
πh=πjkF β πhi
π h
Peripheral Vascular Resistance & Heart Rate
ππ dππ‘
= π)S1π€o
π€o + πo)S1β π)2π β π) π d β π p , π€ =
ππ1ππ‘
ππ»ππ‘
=βπ» + πq π»+ β π»p π»q/ π β πp π π΅π, π΅πp + π»p
πo
Cardiovascular-Pain-Thermal Model
Inflammatory-Cardiovascular-Pain-Thermal Model
Mean Bolus Data & Model
Source: Dobreva, A., Brady-Nicholls, R., Larripa, K., Puelz, C., Mehlsen, J., & Olufsen, M. S. (2021). A physiological model of the inflammatory-thermal-pain-cardiovascular interactions during an endotoxin challenge. The Journal of Physiology, 599(5), 1459-1485.
Patient Specific Bolus Data & Model
0
400
800
TNF-
(p
g/m
L)
0
500
1000
1500
IL-6
(pg/
mL)
Time (hr)
36
38
40
Tem
p (o
C)
Time (hr)
840
880
920
PP
T (k
Pa)
Time (hr)
115
120
125
130
BP (m
mH
g)
0
40
80
0
200
400
0
20
40
0
400
800
37
38
39
40
600
700
800
110
120
130
60
80
100
0
20
40
60
IL-1
0 (p
g/m
L)
Time (hr)
60
80
100
HR
(bpm
)
200
600
1000
IL-8
(pg/
mL)
0 2 4 6 8 0 2 4 6 8 0 2 4 6 8 0 2 4 6 8
0 2 4 6 8 0 2 4 6 8 0 2 4 6 8 0 2 4 6 8
A
B
Patient 6
Patient 19
Time (hr) Time (hr) Time (hr)0 2 4 6 8 0 2 4 6 8 0 2 4 6 8 0 2 4 6 8
Time (hr)
TNF-
(p
g/m
L)Te
mp
(o C
)
IL-6
(pg/
mL)
PP
T (k
Pa)
BP (m
mH
g)IL
-10
(pg/
mL)
HR
(bpm
)IL
-8 (p
g/m
L)
R = 0.962
R = 0.972 R = 1.002
R = 0.992 R = 0.802
R = 0.832 R = 0.932
R = 0.932
R = 0.972
R = 0.962 R = 1.002
R = 0.862 R = 0.902
R = 0.902 R = 0.972
R = 0.972
a
a
R = 0.842
R = 0.792 R = 0.972
R = 0.982 R = 0.882
R = 0.882 R = 0.952
R = 0.942
R = 0.922
R = 0.952 R = 0.892
R = 0.902 R = 0.892
R = 0.902 R = 0.822
R = 0.832
0 2 4 6 8 0 2 4 6 8 0 2 4 6 8 0 2 4 6 8
Source: Dobreva, A., Brady-Nicholls, R., Larripa, K., Puelz, C., Mehlsen, J., & Olufsen, M. S. (2021). A physiological model of the inflammatory-thermal-pain-cardiovascular interactions during an endotoxin challenge. The Journal of Physiology, 599(5), 1459-1485.
18 patient-specific parameters
12 patient specific parameters, and 6 population parameters
ππΈππ‘ = βπ'πΈ
ππΈππ‘
=πΏππ1
π‘fiE β π‘gFveFβ π'πΈ if π‘ β€ π‘fiE
βπ'πΈ if π‘ > π‘fiE
where
π‘gFveF = infusion start time
π‘fiE = infusion end time
πΏππ1 = total dose ng/kg
Transition from Bolus to Continuous Dose
Continuous Infusion Inflammation Model
= Bolus= Continuous= Optimized
Volunteer 7
Begin with bolus dose inflammation model
Adapt bolus dose inflammation model to become a continuous dose inflammation model
Investigate the transition from 1) recovery to chronic inflammation2) chronic inflammation to sepsis
Investigate immune response to continuous infusion
Connect continuous dose inflammation model to cardiovascular model
Estimate cardiac biomarkers and study sepsis treatments
Current & Future Work
References & Acknowledgments
Funding: The National Science Foundation NSF/DMS(RTG) #1246991
Image References:1. https://wp.math.ncsu.edu/cdg/2. https://www.rigshospitalet.dk/english/Pages/default.aspx3. https://en.wikipedia.org/wiki/North_Carolina_State_University4. https://online.seterra.com/en-an/vgp/38015. http://www.iemoji.com/view/emoji/2742/objects/microbe6. https://patientsafetymovement.org/blog/uci-health-spotlight-on-central-line-
associated-bloodstream-infections/7. https://www.nature.com/articles/s41581-018-0005-
7?WT.feed_name=subjects_acute-kidney-injury8. https://www.news-medical.net/health/What-are-Cytokines.aspx9. https://www.worldsepsisday.org/sepsis10. https://www.health.harvard.edu/blog/increase-in-resting-heart-rate-is-a-signal-
worth-watching-20111221401311. https://time.com/4630345/systolic-blood-pressure-hypertension/12. https://www.boundtree.com/IV-Drug-Delivery/Syringes/Syringes-with-Needle-
Luer-lock-Tip-3cc/p/group00261413. https://www.ocrevus.com/patient/infusion-experience.html14. https://en.wikipedia.org/wiki/National_Science_Foundation
Publications:1. A Dobreva, R Brady-Nicholls, K Larripa, C Puelz, J Mehlsen,
MS Olufsen (2021). A physiological model of the inflammatory-thermal-pain-cardiovascular interactions during an endotoxin challenge. J Physiol,
2. R Brady, DO Frank-Ito, HT Tran, S Janum, SB Pedersen, JT Ottesen, J Mehlsen, MS Olufsen (2018.) Mathematical modeling of endotoxin-induced inflammatory response in young men. Math Modeling Natural Phenomena