An inverse problem for equations of cerebral oxygen transport

2021 ◽  
Vol 402 ◽  
pp. 126154
Author(s):  
Andrey Kovtanyuk ◽  
Alexander Chebotarev ◽  
Varvara Turova ◽  
Irina Sidorenko ◽  
Renée Lampe
Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 910
Author(s):  
Andrey Kovtanyuk ◽  
Alexander Chebotarev ◽  
Varvara Turova ◽  
Irina Sidorenko ◽  
Renée Lampe

An inverse problem for a system of equations modeling oxygen transport in the brain is studied. The problem consists of finding the right-hand side of the equation for the blood oxygen transport, which is a linear combination of given functionals describing the average oxygen concentration in the neighborhoods of the ends of arterioles and venules. The overdetermination condition is determined by the values of these functionals evaluated on the solution. The unique solvability of the problem is proven without any smallness assumptions on the model parameters.


Author(s):  
Leland C. Clark ◽  
Robert B. Spokane ◽  
Richard E. Hoffmann ◽  
Ranjan Sudan

2008 ◽  
Vol 41 ◽  
pp. S278
Author(s):  
Constantinos Hadjistassou ◽  
Keri Moyle ◽  
Yiannis Ventikos

2021 ◽  
Author(s):  
Andrey Kovtanyuk ◽  
Alexander Chebotarev ◽  
Tim Seleznev ◽  
Renee Lampe

2011 ◽  
Vol 22 (1) ◽  
pp. 49-56 ◽  
Author(s):  
Gencheng Zhang ◽  
Sally Cai ◽  
Jia Li

AbstractObjectiveHyperglycaemia has been identified as a risk factor for adverse outcomes in critically ill patients, including those who have undergone cardiopulmonary bypass. Tight glucose control with insulin therapy has been shown to improve outcomes, but is not common practice for children following cardiopulmonary bypass. We examined the relationship between blood glucose level and systemic and cerebral oxygen transport in a uniform group of neonates after the Norwood procedure.MethodsSystemic oxygen consumption was measured using respiratory mass spectrometry in 17 neonates for 72 hours postoperatively. Cardiac output, systemic and total pulmonary vascular resistances – including the Blalock–Taussig shunt, systemic oxygen delivery and oxygen extraction ratio, as well as arterial lactate and glucose, were measured at 2- to 4-hour intervals. Cerebral oxygen saturation was measured by near-infrared spectroscopy.ResultsBlood glucose levels ranged from 2.8 to 24.6 millimoles per litre. Elevated glucose level showed a significant negative correlation with cardiac output (p = 0.02) and cerebral oxygen saturation (p = 0.03), and a positive correlation with oxygen extraction ratio (p = 0.03). It tended to correlate positively with systemic vascular resistance (p = 0.09) and negatively with oxygen delivery (p = 0.09), but did not correlate with oxygen consumption (p = 0.13).ConclusionsHyperglycaemia is negatively associated with systemic haemodynamics, oxygen transport, and cerebral oxygenation status in neonates after the Norwood procedure. Further study is warranted to examine tight glucose control with insulin therapy on postoperative systemic and cerebral oxygen transport and functional outcomes in neonates after cardiopulmonary bypass.


Sign in / Sign up

Export Citation Format

Share Document