Can we model nitric oxide biotransport? A survey of mathematical models for a simple diatomic molecule with surprisingly complex biological activities

Mechanisms of disease: the hypoxic tubular hypothesis of diabetic nephropathy

Diabetic nephropathy is traditionally considered to be a primarily glomerular disease, although this contention has recently been challenged. Early tubular injury has been reported in patients with diabetes mellitus whose glomerular function is intact. Chronic hypoxia of the tubulointerstitium has been recognized as a mechanism of progression that is common to many renal diseases. The hypoxic milieu in early-stage diabetic nephropathy is aggravated by manifestations of chronic hyperglycemia-abnormalities of red blood cells, oxidative stress, sympathetic denervation of the kidney due to autonomic neuropathy, and diabetes-mellitus-induced tubular apoptosis; as such, tubulointerstitial hypoxia in diabetes mellitus might be an important early event. Chronic hypoxia could have a dominant pathogenic role in diabetic nephropathy, not only in promoting progression but also during initiation of the condition. Early loss of tubular and peritubular cells reduces production of 1,25-dihydroxyvitamin D3 and erythropoietin, which, together with dysfunction of their receptors caused by the diabetic state, diminishes the local trophic effects of the hormones. This diminution could further compromise the functional and structural integrity of the parenchyma and contribute to the gradual decline of renal function.

Nitric oxide from nitrite reduction by hemoglobin in the plasma and erythrocytes

Experimental evidence has shown that nitrite anion plays a key role in one of the proposed mechanisms for hypoxic vasodilation, in which the erythrocyte acts as a NO generator and deoxygenated hemoglobin in pre-capillary arterioles reduces nitrite to NO, which contributes to vascular smooth muscle relaxation. However, because of the complex reactions among nitrite, hemoglobin, and the NO that is formed, the amount of NO delivered by this mechanism under various conditions has not been quantified experimentally. Furthermore, paracrine NO is scavenged by cell-free hemoglobin, as shown by studies of diseases characterized by extensive hemolysis (e.g., sickle cell disease) and the administration of hemoglobin-based oxygen carriers. Taking into consideration the free access of cell-free hemoglobin to the vascular wall and its ability to act as a nitrite reductase, we have now examined the hypothesis that in hypoxia this cell-free hemoglobin could serve as an additional endocrine source of NO. In this study, we constructed a multicellular model to characterize the amount of NO delivered by the reaction of nitrite with both intraerythrocytic and cell-free hemoglobin, while intentionally neglecting all other possible sources of NO in the vasculature. We also examined the roles of hemoglobin molecules in each compartment as nitrite reductases and NO scavengers using the model. Our calculations show that: (1) approximately 0.04pM NO from erythrocytes could reach the smooth muscle if free diffusion were the sole export mechanism; however, this value could rise to approximately 43pM with a membrane-associated mechanism that facilitated NO release from erythrocytes; the results also strongly depend on the erythrocyte membrane permeability to NO; (2) despite the closer proximity of cell-free hemoglobin to the smooth muscle, cell-free hemoglobin reaction with nitrite generates approximately 0.02pM of free NO that can reach the vascular wall, because of a strong self-capture effect. However, it is worth noting that this value is in the same range as erythrocytic hemoglobin-generated NO that is able to diffuse freely out of the cell, despite the tremendous difference in hemoglobin concentration in both cases (microM hemoglobin in plasma vs. mM in erythrocyte); (3) intraerythrocytic hemoglobin encapsulated by a NO-resistant membrane is the major source of NO from nitrite reduction, and cell-free hemoglobin is a significant scavenger of both paracrine and endocrine NO.

Reduced nitric oxide in diabetic kidneys due to increased hepatic arginine metabolism: implications for renomedullary oxygen availability

Nitric oxide (NO) is a potent regulator of both vascular tone and oxygen utilization. Diabetes is commonly associated with both NO deficiency and reduced renomedullary oxygen availability. Arginine availability as regulator of NO production has gained growing interest. We hypothesized that arginine limitation causes diabetes-induced renomedullary NO deficiency, which directly influences renomedullary oxygen tension (Po2). Medullary NO, Po2, and blood flow were measured in control and streptozotocin-induced diabetic rats, which were treated or not treated with α-tocopherol, and administered l-arginine followed by Nω-nitro-l-arginine methyl ester. Major components of arginine metabolism were also investigated. Diabetic rats had reduced renomedullary NO levels compared with controls. Arginine selectively increased NO levels in diabetic rats and totally restored NO levels in α-tocopherol-treated animals. Tocopherol prevented the reduction in medullary Po2 in the diabetic animals. Although blood flow increased equally in all groups, arginine increased Po2 exclusively in the diabetic groups. Diabetes decreased plasma arginine and asymmetric dimethylarginine concentrations, but increased hepatic CAT-2A and plasma ornithine independently of α-tocopherol treatment. In conclusion, diabetic rats had reduced renomedullary NO due to decreased plasma arginine following increased hepatic arginine uptake and degradation. This was unrelated to oxidative stress. The diabetes-induced reduction in renomedullary Po2 was restored by either acute arginine administration, which also restored NO levels, or long-term antioxidant treatment. Arginine increased medullary NO and Po2 independently of altered hemodynamics in the diabetic groups. This reveals a direct regulatory function of NO for renomedullary Po2 especially during situations of elevated oxidative stress.

Nitric oxide diffusion rate is reduced in the aortic wall

Endogenous nitric oxide (NO) plays important physiological roles in the body. As a small diatomic molecule, NO has been assumed to freely diffuse in tissues with a diffusion rate similar to that in water. However, this assumption has not been tested experimentally. In this study, a modified Clark-type NO electrode attached with a customized aorta holder was used to directly measure the flux of NO diffusion across the aortic wall at 37 degrees C. Experiments were carefully designed for accurate measurements of the apparent NO diffusion coefficient D and the partition coefficient alpha in the aortic wall. A mathematical model was presented for analyzing experimental data. It was determined that alpha = 1.15 +/- 0.11 and D = 848 +/- 45 mum(2)/s (n = 12). The NO diffusion coefficient in the aortic wall is nearly fourfold smaller than the reported diffusion coefficient in solution at 37 degrees C, indicating that NO diffusion in the vascular wall is no longer free, but markedly dependent on the environment in the tissue where these NO molecules are. These results imply that the NO diffusion rate in the vascular wall may be upregulated and downregulated by certain physiological and/or pathophysiological processes affecting the composition of tissues.

Lowering of blood pressure by increasing hematocrit with non nitric oxide scavenging red blood cells

Isovolemic exchange transfusion of 40% of the blood volume in awake hamsters was used to replace native red blood cells (RBCs) with RBCs whose hemoglobin (Hb) was oxidized to methemoglobin (MetHb), MetRBCs. The exchange maintained constant blood volume and produced different final hematocrits (Hcts), varying from 48 to 62% Hct. Mean arterial pressure (MAP) did not change after exchange transfusion, in which 40% of the native RBCs were replaced with MetRBCs, without increasing Hct. Increasing Hct with MetRBCs lowered MAP by 12 mm Hg when Hct was increased 12% above baseline. Further increases of Hct with MetRBCs progressively returned MAP to baseline, which occurred at 62% Hct, a 30% increase in Hct from baseline. These observations show a parabolic "U" shaped distribution of MAP against the change in Hct. Cardiac index, cardiac output divided by body weight, increased between 2 and 17% above baseline for the range of Hcts tested. Peripheral vascular resistance (VR) was decreased 18% from baseline when Hct was increased 12% from baseline. VR and MAP were above baseline for increases in Hct higher than 30%. However, vascular hindrance, VR normalized by blood viscosity (which reflects the contribution of vascular geometry), was lower than baseline for all the increases in Hct tested with MetRBC, indicating prevalence of vasodilation. These suggest that acute increases in Hct with MetRBCs increase endothelium shear stress and stimulate the production of vasoactive factors (e.g., nitric oxide [NO]). When MetRBCs were compared with functional RBCs, vasodilation was augmented for MetRBCs probably due to the lower NO scavenging of MetHb. Consequently, MetRBCs increased the viscosity related hypotension range compared with functional RBCs as NO shear stress vasodilation mediated responses are greater.

Dynamics of nitric oxide and peroxynitrite during global brain ischemia/reperfusion in rat hippocampus: NO-sensor measurement and modeling study

The dynamics of nitric oxide (NO) and peroxynitrite concentration changes during brain ischemia/reperfusion are poorly understood. In this paper, a NO-selective sensor was used to measure NO concentration changes in the rat brain hippocampus during global brain ischemia/reperfusion. Four-vessel occlusion model of transient global brain ischemia was used. Global cerebral ischemia was induced by occluding both common carotid arteries with artery nips (for 20 min) and reperfusion was induced by loosening the artery nips. Results showed that the changes of NO concentration during global brain ischemia/reperfusion could be divided into different stages. Together with the effects of O2 tension changes and NO synthase (NOS) on nitric oxide levels, we determined five stages in the NO concentration profile: (1) acute O2-limited decrease stage; (2) O2-limited steady stage; (3) neuronal NOS activation stage; (4) acute O2-recovery elevation stage; and (5) O2-recovery steady stage. In addition, a chemical reaction network model was constructed to simulate the dynamics of peroxynitrite during the reperfusion stage, and the effects of a change in the NO formation rate on the dynamics of peroxynitrite were investigated specifically. Results show the rate of NO formation has a great influence on peroxynitrite dynamics.

Vascular smooth muscle NO exposure from intraerythrocytic SNOHb: a mathematical model

We previously constructed computational models based on the biochemical pathway analysis of different nitric oxide (NO) synthase isoforms and found a large discrepancy between our predictions and perivascular NO measurements, suggesting the existence of nonenzymatic sources of NO. S-nitrosohemoglobin (SNOHb) has been suggested as a major source to release NO in the arteriolar lumen and induce hypoxic vasodilation. In the present study, we formulated a multicellular computational model to quantify NO exposure in arteriolar smooth muscle when the NO released by intraerythrocytic SNOHb is the sole NO source in the vasculature. Our calculations show an NO exposure of approximately 0.25-6 pM in the smooth muscle region. This amount does not account for the large discrepancy we encountered regarding perivascular NO levels. We also found that the amount of NO delivered by SNOHb to smooth muscle strongly depends on the SNOHb concentration and half-life, which further determine the rate of NO release, as well as on the membrane permeability of red blood cells (RBCs) to NO. In conclusion, our mathematical model predicts that picomolar amounts of NO can be delivered to the vascular smooth muscle by intraerythrocytic SNOHb; this amount of NO alone appears not sufficient to induce the hypoxic vasodilation.

Nitric oxide regulation of microvascular oxygen

The role of nitric oxide (NO) as a highly diffusible free radical gaseous vasodilator is intrinsically linked to the control of blood flow and oxygen (O(2)) delivery to tissue. NO also is involved in regulating mitochondrial O(2) metabolism, growth of new blood vessels, and blood oxygenation through control of respiratory ventilation. Hemoglobin and myoglobin may help to conserve NO for subsequent release of a NO-related vasoactive species under hypoxic conditions. NO has a major role in regulating microvascular O(2), and dysfunctional NO signaling is associated with the pathogenesis of metabolic and cardiovascular diseases.

Glucose-induced release of nitric oxide from mouse pancreatic islets as detected with nitric oxide-selective glass microelectrodes

Nitric oxide (NO) is believed to play an important role in pancreatic islet physiology and pathophysiology. Research in this area has been hampered, however, by the use of indirect methods to measure islet NO. To investigate the role of NO in islet function, we positioned NO-sensitive, recessed-tip microelectrodes in close proximity to individual islets and monitored oxidation current to detect subnanomolar NO in the bath. NO release from islets consisted of a series of rapid bursts lasting several seconds and/or slow oscillations with a period of approximately 100-300 s. Average baseline NO near the islets in 2.8 mM glucose was 524+/-59 nM (n=12). Raising glucose from 2.8 to 11.1 mM augmented NO release by 429+/-133 nM (n=12, P<0.05), an effect blocked by the NO synthase inhibitor L-NAME (n=3). We also observed that glucose-stimulated increases in NO release were contemporaneous with changes in NAD(P)H and O2 but occurred well before increases in calcium associated with glucose-stimulated insulin secretion. In summary, we demonstrate that NO release from islets is oscillatory and rapidly augmented by glucose, suggesting that NO release occurs early following an increase in glucose metabolism and may contribute to the stimulated insulin secretion triggered by suprathreshold glucose.

Spatiotemporal neuronal signaling by nitric oxide: diffusion-reaction modeling and analysis

Nitric oxide (NO) is a neurotransmitter strikingly different from others. It is able to diffuse isotropically regardless of intervening cellular or membrane structures; and it exhibits a surprisingly diverse range of biochemical activity. NO diffusion and reactions affect the nervous system significantly. At present there is no effective technique for detecting them in vivo in real time, whereas computational modeling and simulation helps us gain insight into them. Existing models and simulations for the purpose, however, are inadequate as only the diffusion or only the reactions have been considered. For a comprehensive study of the gaseous neurotransmitter NO, both the diffusion and biochemical reactions should be taken into consideration. This paper, where NO diffusion and reactions are considered as a whole system, presents a spatiotemporal analysis of NO diffusion-reaction, taking the case with brain hypoxia as an example. The analysis is illustrated with a diffusion-reaction model and graphic simulation, which particularly describe how the concentration of oxygen (O2) affects NO signaling in a neuron involved in brain hypoxia.

A Model of NO/O<inf>2</inf>Transport in Capillary-perfused Tissue Containing an Arteriole and Venule Pair

The goal of this study was to investigate the complex co-transport of nitric oxide (NO) and oxygen (O₂) in a paired arteriole-venule, surrounded by capillary-perfused tissue using a computer model. Blood flow was assumed to be steady in the arteriole and venular lumens and to obey Darcy's law in the capillary-perfused tissue. NO consumption rate in the arteriolar and venular lumen was assumed to be constant in the core of the arteriolar and venular lumen and to decrease linearly to the endothelium. Average NO consumption rate by capillary blood in a unit tissue volume was assumed proportional to the blood flux across the volume. Our preliminary results predict that: 1) The capillary bed, which connects the arteriole and venule, facilitates the release of O₂ from the vessel pair to the surrounding tissue; 2) Decreasing the distance between arteriole and venule can result in a higher NO concentration in the venular wall than in the arteriolar wall; 3) In the absence of capillaries in the surrounding tissue, diffusion of NO from venule to arteriole contributes little to NO contents in the arteriole; and 4) when capillaries are added to the simulation, a significant increase in arteriole NO content is observed.

A model of NO/O2 transport in capillary-perfused tissue containing an arteriole and venule pair

The goal of this study was to investigate the complex co-transport of nitric oxide (NO) and oxygen (O2) in a paired arteriole-venule, surrounded by capillary-perfused tissue using a computer model. Blood flow was assumed to be steady in the arteriolar and venular lumens and to obey Darcy's law in the tissue. NO consumption rate was assumed to be constant in the core of the arteriolar and venular lumen and to decrease linearly to the endothelium. Average NO consumption rate by capillary blood in a unit tissue volume was assumed proportional to the blood flux across the volume. Our results predict that: (1) the capillary bed, which connects the arteriole and venule, facilitates the release of O2 from the vessel pair to the surrounding tissue; (2) decreasing the distance between arteriole and venule can result in a higher NO concentration in the venular wall than in the arteriolar wall; (3) in the absence of capillaries in the surrounding tissue, diffusion of NO from venule to arteriole contributes little to NO concentration in the arteriolar wall; and (4) when capillaries are added to the simulation, a significant increase of NO in the arteriolar wall is observed.

Computation of plasma hemoglobin nitric oxide scavenging in hemolytic anemias

Intravascular hemoglobin limits the amount of endothelial-derived nitric oxide (NO) available for vasodilation. Cell-free hemoglobin scavenges NO more efficiently than red blood cell-encapsulated hemoglobin. Hemolysis has recently been suggested to contribute to endothelial dysfunction based on a mechanism of NO scavenging by cell-free hemoglobin. Although experimental evidence for this phenomenon has been presented, support from a theoretical approach has, until now, been missing. Indeed, due to the low amounts of cell-free hemoglobin present in these pathological conditions, the role of cell-free hemoglobin scavenging of NO in disease has been questioned. In this study, we model the effects of cell-free hemoglobin on NO bioavailability, focusing on conditions that closely mimic those under known pathological conditions. We find that as little as 1 microM cell-free intraluminal hemoglobin (heme concentration) can significantly reduce NO bioavailability. In addition, extravasation of hemoglobin out of the lumen has an even greater effect. We also find that low hematocrit associated with anemia increases NO bioavailability but also leads to increased susceptibility to NO scavenging by cell-free hemoglobin. These results support the paradigm that cell-free hemoglobin released into plasma during intravascular hemolysis in human disease contributes to the experimentally observed reduction in NO bioavailability and endothelial dysfunction.

INTRARENAL OXYGEN IN DIABETES AND A POSSIBLE LINK TO DIABETIC NEPHROPATHY

Diabetic nephropathy is a major cause of morbidity and mortality. The exact mechanism mediating the negative influence of hyperglycaemia on renal function remains unclear, although several hypotheses have been postulated. The cellular mechanisms include glucose-induced excessive formation of reactive oxygen species, increased glucose flux through the polyol pathway and formation of advanced glycation end-products. The renal effects in vivo of each and every one of these mechanisms are even less clear. However, there is growing evidence that hyperglycaemia results in altered renal oxygen metabolism and decreased renal oxygen tension and that these changes are linked to altered kidney function. Clinical data regarding renal oxygen metabolism and oxygen tension are currently rudimentary and our present understanding regarding renal oxygenation during diabetes is predominantly derived from data obtained from animal models of experimental diabetic nephropathy. This review will present recent findings regarding the link between hyperglycaemia and diabetes-induced alterations in renal oxygen metabolism and renal oxygen availability. A possible link between reduced renal oxygen tension and the development of diabetic nephropathy includes increased polyol pathway activity and oxidative stress, which result in decreased renal oxygenation and subsequent activation of hypoxia-inducible factors. This initiates increased gene expression of numerous genes known to be involved in development of diabetic nephropathy.

MICROVASCULAR PERSPECTIVE OF OXYGEN-CARRYING AND -NONCARRYING BLOOD SUBSTITUTES

The development of an alternative to natural blood has evolved from the initial goal of replicating blood properties to the current objective of formulating a fluid that can be used to replace blood while preserving microvascular function and delivering oxygen. The properties of this fluid are counterintuitive and different from blood because it has high viscosity, oxygen affinity, and a low oxygen carrier concentration when compared with blood. The optimal oxygen carrier devised presently is poly-ethylene-conjugated human hemoglobin, a material demonstrated to be vasoinactive and void of the toxicities present in previous hemoglobin formulations. A feature of this material is that it is effective in small quantities, and therefore amplifies the equivalent supply of blood derived from blood donations.

Kinetic Modeling of Nitric-Oxide-Associated Reaction Network

PURPOSE

Nitric oxide and superoxide are the two important free radicals in the biological system. The coexistence of both free radicals in the physiological milieu gives rise to intricate oxidative and nitrosative reactions, which have been implicated in many physiological and/or pathophysiological conditions, such as vasodilatation and inflammation. It is difficult, if not impossible, to study the complexity of the nitric oxide/superoxide system using current experimental approaches. Computational modeling thus offers an alternative way for studying the problem.

METHODS

In this present study, key reaction pathways related to the generation, reaction and scavenging of both nitric oxide and superoxide were integrated into a reaction network. The network dynamics was investigated by numerical simulations to a set of coupled differential equations and by dynamical analysis. Two specific questions pertaining to the reaction kinetics of the reactive chemical species in the nitric oxide/superoxide system were studied: (1) how does the system respond dynamically when the generation rate of nitric oxide and superoxide varies? (2) how would antioxidants such as glutathione modulate the system dynamics?

RESULTS

While changing basal GSH levels does not alter the kinetics of nitric oxide, superoxide, and peroxynitrite, the kinetic profiles of N203, GSNO and GSH are sensitive to the variation of basal GSH levels. The kinetics of the potential nitrosative species, N203, is switch like, which is dependent on the level of GSH.

CONCLUSIONS

The model predicts that concurrent high nitric oxide and superoxide generation--such as in the inflammatory conditions--may result in nonlinear system dynamics, and glutathione may serve as a dynamic switch of N203 mediated nitrosation reaction.

Mechanotransduction and the homeostatic significance of maintaining blood viscosity in hypotension, hypertension and haemorrhage

The increase of plasma and blood viscosity is usually associated with pathological conditions; however, elevation of both parameters often results in increased perfusion and the lowering of peripheral vascular resistance. In extreme haemodilution, blood viscosity is too low and insufficient to maintain functional capillary density, a problem that in experimental studies is shown to be corrected by increasing plasma viscosity up to 2.2 cP. This effect is mediated by mechanotransduction-induced nitric oxide (NO) production via shear stress in the endothelium as shown by microelectrode perivascular measurements of NO concentration. Moderate elevations of blood viscosity by increasing haematocrit ( approximately 10%) result in comparable reductions of blood pressure and peripheral vascular resistance, an effect also NO-mediated as it is absent after Nomega-nitro-L-arginine methyl ester treatment and in endothelial nitric oxide synthase-deficient mice. These findings show that the rheological properties of plasma affect vessel diameter in the microcirculation leading to counterintuitive responses to the changes in blood and plasma viscosity. Application of these findings to haemorrhagic shock resuscitation leads to the concept of hyperosmotic-hyperviscous resuscitation as a modality for maintaining the recovery of microvascular function.

The influence of radial RBC distribution, blood velocity profiles, and glycocalyx on coupled NO/O2 transport

The purpose of this investigation was to study the effect of the presence of red blood cells (RBCs) in the plasma layer near the arteriole wall on nitric oxide (NO) and oxygen (O2) transport. To this end, we extended a coupled NO and O2 diffusion-reaction model in the arteriole, developed by our group, to include the effect of the presence of RBCs in the plasma layer and the effect of convection. Two blood flow velocity profiles (plug and parabolic) were tested. The average hematocrit in the bloodstream was assumed to be constant in the central core and decreasing to zero in the boundary layer next to the endothelial surface layer. The effect of the presence or absence of RBCs near the endothelium was studied while varying the endothelial surface layer and boundary layer thickness. With RBCs present in the boundary layer, the model predicts that 1) NO decreases significantly in the endothelium and vascular wall; 2) there is a very small increase in endothelial and vascular wall Po2; 3) scavenging of NO by hemoglobin decreases with increasing thickness of the boundary layer; 4) the shape of the velocity profile influences both NO and Po2 gradients in the bloodstream; and 5) the presence of RBCs in the boundary layer near the endothelium has a much larger effect on NO than on O2 transport.

Quantifying the L-arginine paradox in vivo

NO and PO(2) microelectrodes were used to quantify the effects of increased availability of L-arginine in an exteriorized rat mesentery and small intestine microcirculatory preparation in n = 16 rats. During short periods of elevated L-arginine added to the superfusion bath, transient changes in perivascular NO or PO(2) were measured at 171 perivascular sites near intestinal arterioles and venules, simultaneously with tissue perfusion using laser Doppler flowmetry (LDF). Excess L-arginine increased perivascular NO over twofold, by 411 +/- 42 nM above the baseline of 329 +/- 30 nM (P < 0.0001), and increased tissue perfusion by 35.5 +/- 7.5% (P < 0.0001). No difference between arterioles and venules was observed in the magnitude or time course of the NO responses. Both increases and decreases in perivascular PO(2) were observed after excess L-arginine, with a similar increase in tissue perfusion by 42.0 +/- 12.3% (P < 0.0001). Our NO measurements confirm that increased bioavailability of L-arginine causes a significant increase in NO production throughout the microcirculation of this preparation, with increased tissue perfusion, and provides direct in vivo evidence for the L-arginine paradox.

Reduced nitric oxide concentration in the renal cortex of streptozotocin-induced diabetic rats: effects on renal oxygenation and microcirculation

Nitric oxide (NO) regulates vascular tone and mitochondrial respiration. We investigated the hypothesis that there is reduced NO concentration in the renal cortex of diabetic rats that mediates reduced renal cortical blood perfusion and oxygen tension (P O2). Streptozotocin-induced diabetic and control rats were injected with l-arginine followed by Nomega-nitro-L-arginine-metyl-ester (L-NAME). NO and P O2 were measured using microsensors, and local blood flow was recorded by laser-Doppler flowmetry. Plasma arginine and asymmetric dimethylarginine (ADMA) were analyzed by high-performance liquid chromatography. L-Arginine increased cortical NO concentrations more in diabetic animals, whereas changes in blood flow were similar. Cortical P O2 was unaffected by L-arginine in both groups. L-NAME decreased NO in control animals by 87 +/- 15 nmol/l compared with 45 +/- 7 nmol/l in diabetic animals. L-NAME decreased blood perfusion more in diabetic animals, but it only affected P O2 in control animals. Plasma arginine was significantly lower in diabetic animals (79.7 +/- 6.7 vs. 127.9 +/- 3.9 mmol/l), whereas ADMA was unchanged. A larger increase in renal cortical NO concentration after l-arginine injection, a smaller decrease in NO after L-NAME, and reduced plasma arginine suggest substrate limitation for NO formation in the renal cortex of diabetic animals. This demonstrates a new mechanism for diabetes-induced alteration in renal oxygen metabolism and local blood flow regulation.

Hemoglobin mediated nitrite activation of soluble guanylyl cyclase

Nitrite has long been known to be vasoactive when present at large concentrations but it was thought to be inactive under physiological conditions. Surprisingly, we have recently shown that supraphysiological and near physiological concentrations of nitrite cause vasodilation in the human circulation. These effects appeared to result from reduction of nitrite by deoxygenated hemoglobin. Thus, nitrite was proposed to play a role in hypoxic vasodilation. We now discuss these results in the context of nitrite reacting with hemoglobin and effecting vasodilation and present new data modeling the nitric oxide (NO) export from the red blood cell and measurements of soluble guanylate cyclase (sGC) activation. We conclude that NO generated within the interior of the red blood cell is not likely to be effectively exported directly as nitric oxide. Thus, an intermediate species must be formed by the nitrite/deoxyhemoglobin reaction that escapes the red cell and effects vasodilation.

Analysis of nitric oxide donor effectiveness in resistance vessels

Decreased nitric oxide (NO) bioavailability is associated with a number of pathological conditions. Administration of a supplemental source of NO can counter the pathological effects arising from decreased NO bioavailability. A class of NO-nucleophile adducts that spontaneously release NO (NONOates) has been developed, and its members show promise as therapeutic sources of NO. Because the NONOates release NO spontaneously, a significant portion of the NO may be consumed by the myriad of NO reactive species present in the body. Here we develop a model to analyze the efficacy of NO delivery, by membrane-impermeable NONOates, in the resistance arterioles. Our model identifies three features of blood vessels that will enhance NONOate efficacy: 1) the amount of NO delivered to the abluminal region increases with lumen radius; 2) the presence of a flow-induced red blood cell-free zone will augment NO delivery; and 3) extravasation of the NONOate into the interstitial space will increase abluminal NO delivery. These results suggest that NONOates may be more effective in larger vessels and that NONOate efficacy can be altered by modifying permeability to the interstitial space.

Elevated plasma viscosity in extreme hemodilution increases perivascular nitric oxide concentration and microvascular perfusion

We tested the hypothesis that high-viscosity (HV) plasma in extreme hemodilution causes wall shear stress to be greater than low-viscosity (LV) plasma, leading to enhanced production of nitric oxide (NO). The perivascular concentration of NO was measured in arterioles and venules and the tissue of the hamster chamber window model, subjected to acute extreme hemodilution, with a hematocrit (Hct) of 11% using Dextran 500 ( n = 6) or Dextran 70 ( n = 5) with final plasma viscosities of 1.99 ± 0.11 and 1.33 ± 0.04 cp, respectively. HV plasma significantly increased the periarteriolar, perivenular, and tissue NO concentration by 2.0, 1.9, and 1.4 times the control ( n = 7). The NO concentration with LV plasma was not statistically different from control. Arteriolar shear stress was significantly increased in HV plasma relative to LV plasma in arterioles but not in venules. Aortic endothelial NO synthase (eNOS) protein expression was increased with HV plasma but not with LV plasma. There was a weak correlation between perivascular NO concentration and the locally calculated shear stress induced by the procedures, when blood viscosity was corrected according to Hct values previously determined in studies of microvascular Hct distribution. The finding that the periarteriolar and venular NO concentration in HV plasma was the same although arteriolar shear stress was significantly greater than venular shear stress maybe be due to differences in vessel wall metabolism between arterioles and venules and the presence of NO transport through the blood stream in the microcirculation. Results support the concept that in extreme hemodilution HV plasma maintains functional capillary density through a NO-mediated vasodilatation.

Interactions between NO and O2 in the microcirculation: a mathematical analysis

Biotransport of nitric oxide (NO) and of oxygen (O(2)) in the microcirculation are inherently interdependent, since all nitric oxide synthase (NOS) isoforms (eNOS, nNOS, and iNOS) require O(2) to produce NO. Furthermore, tissue O(2) consumption is reversibly inhibited by NO. To investigate these complex interactions, a mathematical model was developed for coupled mass transport of NO and O(2) around a cylindrical arteriole using finite element computational methods. Steady-state radial NO and O(2) gradients in the bloodstream, plasma layer, endothelium, vascular wall, and surrounding tissue were simulated for different conditions. Special cases of the model were solved, including O(2)-dependent NO production from eNOS alone, and with additional NO production from either nNOS or iNOS at specified locations. The model predicts that (a) concentration changes in one species can have significant effects on transport of the other species with the degree of interaction dependent on spatial gradients; (b) eNOS NO production rates required to maintain the concentration of NO in the vascular wall are more dependent on NO scavenging in blood than in tissue; (c) relatively low rates of NO production in tissue from either nNOS or iNOS can elevate vascular wall NO, compensating for possible reductions in NO production from eNOS; (d) depending on their physical location, nNOS and iNOS can be very sensitive to O(2); and (e) increased tissue NO can increase O(2) delivery to more distal regions by inhibiting O(2) consumption in other regions.

Determinants of basal nitric oxide concentration in the renal medullary microcirculation

In this study, we modeled the production, transport, and consumption of nitric oxide (NO) in the renal medullary microcirculation under basal conditions. To yield agreement with reported NO concentrations of ∼60–140 nM in medullary tissues (Zou AP and Cowley AW Jr. Hypertension 29: 194–198, 1997; Am J Physiol Regul Integr Comp Physiol 279: R769–R777, 2000) and 3 nM in plasma (Stamler JS, Jaraki O, Osborne J, Simon DI, Keaney J, Vita J, Singel D, Valeri CR, and Loscalzo J. Proc Natl Acad Sci USA 89: 7674–7677, 1992), the permeabilities of red blood cells (RBCs), vascular walls, and pericytes to NO are all predicted to lie between 0.01 and 0.1 cm/s, and the NO production rate by vasa recta endothelium is estimated to be on the order of 10−14μmol·μm−2·s−1. Our results suggest that the concentration of NO in RBCs, which is essentially controlled by the kinetics of NO scavenging by hemoglobin, is ∼0.01 nM, that is, 103times lower than that in plasma, pericytes, and interstitium. Because the basal concentration of NO in pericytes is on the order of 10 nM, it may be too low to active guanylate cyclase, i.e., to induce vasorelaxation. Our simulations also indicate that basal superoxide concentrations may be too low to affect medullary NO levels but that, under pathological conditions, superoxide may be a very significant scavenger of NO. We also found that although oxygen is a negligible NO scavenger, medullary hypoxia may significantly enhance NO concentration gradients along the corticomedullary axis.

A model of nitric oxide capillary exchange

OBJECTIVE

Our aim was to develop a mathematical model that describes the nitric oxide (NO) transport in and around capillaries. The model is used to make quantitative predictions for (1) the contribution of capillary endothelium to the nitric oxide flux into the parenchymal tissue cells; (2) the scavenging of arteriolar endothelium-derived NO by capillaries in the surrounding tissue; and (3) the role of myoglobin in tissue cells and plasma-based hemoglobin on NO diffusion in and around capillaries.

METHODS

We used a finite element model of a capillary and surrounding tissue with discrete parachute-shape red blood cells (RBCs) moving inside the capillary to obtain the NO concentration distribution. An intravascular mass transfer coefficient is estimated as a function of RBC membrane permeability and capillary hematocrit. A continuum model of the capillary is also formulated, in which blood is treated as a homogeneous fluid; it uses the mass transfer coefficient and provides a closed-form analytic solution for the average exchange rate of NO in a capillary-perfused region.

RESULTS

The NO concentration in the parenchymal cells depends on parameters such as RBC membrane permeability and capillary hematocrit; the concentration is predicted for a wide range of parameters. In the absence of myoglobin or plasma-based hemoglobin, the average tissue concentration generally ranges between 20 and 300 nM. In the presence of myoglobin or after transfusion of a hemoglobin-based blood substitute, there is minimal NO penetration into the tissue from the capillary endothelium.

CONCLUSIONS

The model suggests that NO originating from the capillary wall can diffuse toward the parenchymal cells and potentially sustain physiologically significant concentrations. The model provides estimates of NO exchange and concentration level in capillary-perfused tissue, and it can be used in models of NO transport around arterioles or other NO sources.

Visualization of nitric oxide production and intracellular calcium in juxtamedullary afferent arteriolar endothelial cells

AIM

Nitric oxide (NO) is an important signal transmitter with multiple haemodynamic functions in the kidney. Study of these is complicated by the difficulty in measuring NO directly or visualizing its production. Recently the synthesis of a group of new NO-sensitive fluorescent dyes, diaminofluoresceins (DAF), suitable for imaging applications has been reported. We attempted to use one DAF (DAF-2 DA) to investigate the relationship between endothelial calcium, NO production and afferent arteriolar reactivity.

METHODS

We used the isolated, perfused juxtamedullary nephron preparation (JMN) and loaded the afferent arteriolar endothelium with Fura-2 AM and DAF-2 DA (4,5-diaminofluorescein-2-diacetyl). After in vitro calibration of the imaging system, we measured Fura-2 and DAF-2 fluorescence in single endothelial cells of afferent arterioles (AA) perfused at a pressure of 100 mmHg.

RESULTS

Carboxy-2-phenyl-4,4,5,5-tetramethyl-imidazoline-1-oxyl-3-oxide (carboxy-PTIO) (10-3 m), a specific NO scavenger, decreased DAF-2 fluorescence in the endothelium by 16.1% and the mid-afferent arteriolar diameter by 10.2%, and increased endothelial calcium by 17.8%. Nomega-nitro-l-arginine methyl ester (l-NAME) (10-4 m) decreased fluorescence intensity of DAF-2 by 18.6%, increased cellular calcium level by 19.7% and constricted the vessels by 11.6%. Addition of carbachol (10-4 m) increased average DAF-2 fluorescence by 22.8% and endothelial calcium concentration by 28.9%, whereas the arteriolar diameter remained essentially unchanged. Carbachol failed to increase DAF-2 fluorescence when administered after l-NAME pre-treatment.

CONCLUSION

We conclude that endothelial NO homeostasis is an important determinant of AA reactivity and suggest that DAF are suitable for real-time imaging of afferent arteriolar NO production in the isolated, perfused JMN and may be used in combination with calcium-sensitive fluorophores. We have found that NO reduction by carboxy-PTIO or l-NAME increases endothelial calcium, suggesting involvement of calcium signalling in an autocrine NO production feedback in the endothelium. This method should help to further clarify the role of endothelial NO in renal haemodynamics.

A theoretical model of nitric oxide transport in arterioles: frequency- vs. amplitude-dependent control of cGMP formation

Nitric oxide (NO) plays many important physiological roles, including the regulation of vascular smooth muscle tone. In response to hemodynamic or agonist stimuli, endothelial cells produce NO, which can diffuse to smooth muscle where it activates soluble guanylate cyclase (sGC), leading to cGMP formation and smooth muscle relaxation. The close proximity of red blood cells suggests, however, that a significant amount of NO released will be scavenged by blood, and thus the issue of bioavailability of endothelium-derived NO to smooth muscle has been investigated experimentally and theoretically. We formulated a mathematical model for NO transport in an arteriole to test the hypothesis that transient, burst-like NO production can facilitate efficient NO delivery to smooth muscle and reduce NO scavenging by blood. The model simulations predict that 1) the endothelium can maintain a physiologically significant amount of NO in smooth muscle despite the presence of NO scavengers such as hemoglobin and myoglobin; 2) under certain conditions, transient NO release presents a more efficient way for activating sGC and it can increase cGMP formation severalfold; and 3) frequency-rather than amplitude-dependent control of cGMP formation is possible. This suggests that it is the frequency of NO bursts and perhaps the frequency of Ca(2+) oscillations in endothelial cells that may limit cGMP formation and regulate vascular tone. The proposed hypothesis suggests a new functional role for Ca(2+) oscillations in endothelial cells. Further experimentation is needed to test whether and under what conditions in silico predictions occur in vivo.

Interaction of nitrogen monoxide with hemoglobin and the artefactual production of S-nitroso-hemoglobin

Hemoglobin (Hb) is probably the most thoroughly studied protein in the human body. However, it has recently been proposed that in addition to the well known function of dioxygen and carbon dioxide transporter, one of the main roles of hemoglobin is to store and transport nitrogen monoxide. This hypothesis is highly disputed and is in contrast to the proposal that hemoglobin serves as an NO. scavenger in the blood. In this short review, I have presented the current status of research on the much-debated mechanism of the reaction between circulating hemoglobin and NO.. Despite the fact that oxyHb is extremely rapidly oxidized by NO., under basal physiological conditions the biological activity of NO. in the blood vessels is not completely lost. It has been shown that three factors reduce the efficiency of hemoglobin to scavenge NO.: a so-called red blood cell-free zone created close to the vessel wall by intravascular flow, an undisturbed layer around the red blood cells--where the NO. concentration is much smaller than the bulk concentration--and/or the red blood cell membrane. Alternatively, it has been proposed that NO. binds to Cys beta 93 of oxyHb, is liberated after deoxygenation of Hb, and consequently allows for a more effective delivery of O2 to peripheral tissues. However, because of the extremely fast rate of the reaction between NO. and oxyHb, experiments in vitro lead to artefactual production of large amounts of S-nitroso-hemoglobin. These results, together with other data, which challenge most steps of the NO.-transporter hypothesis, are discussed.

Modeling the influence of superoxide dismutase on superoxide and nitric oxide interactions, including reversible inhibition of oxygen consumption

A mathematical mass transport model was constructed in cylindrical geometry to follow coupled biochemical reactions and diffusion of oxygen, nitric oxide, superoxide, peroxynitrite, hydrogen peroxide, nitrite, and nitrate around a blood vessel. Computer simulations were performed for a 50 microm internal diameter arteriole to characterize mass transport in five concentric regions (blood, plasma layer, endothelium, vascular wall, perivascular tissue). Steady state gradients in nitric oxide, oxygen partial pressure, superoxide, and peroxynitrite, and associated production of hydrogen peroxide, nitrite, and nitrate were predicted for varying superoxide production rates, superoxide dismutase concentrations, and other physiological conditions. The model quantifies how competition between superoxide scavenging by nitric oxide and superoxide dismutase catalyzed removal varies spatially. Reversible inhibition of oxygen consumption by nitric oxide, which causes increased tissue oxygenation at deeper locations, was also included in the model. The mass transport model provides insight into complex interactions between reactive oxygen and nitrogen species in blood and tissue, and provides an objective way to evaluate the relative influence of different biochemical pathways on these interactions.

Temporal dynamics of brain tissue nitric oxide during functional forepaw stimulation in rats

We report the first dynamic measurements of tissue nitric oxide (NO) during functional activation of rat somatosensory cortex by electrical forepaw stimulation. Cortical tissue NO was measured electrochemically with rapid-responding recessed microelectrodes (tips <10 microm). Simultaneous blood flow measurements were made by laser-Doppler flowmetry (LDF). NO immediately increased, reaching a peak 125.5 +/- 32.8 (SE) nM above baseline (P < 0.05) within 400 ms after stimulus onset, preceding any LDF changes, and then returned close to prestimulus levels after 2 s (123 signal-averaged trials, 12 rats). Blood flow began rising after a 1-s delay, reaching a peak just before electrical stimulation was ended at t = 4 s. A consistent poststimulus NO undershoot was observed as LDF returned to baseline. These findings complement our previous study (B. M. Ances et al., 2001, Neurosci. Lett. 306, 106-110) in which a transient decrease in rat somatosensory cortex tissue oxygen partial pressure was found to precede blood flow increases during functional activation.

Adenosine enhances functional activation of blood flow in cat optic nerve head during photic stimulation independently from nitric oxide

Blood flow studies in the brain, heart, and other organs suggest that there could be interaction between nitric oxide (NO) and adenosine. This possibility was investigated in the optic nerve head (ONH) during photic stimulation of the dark-adapted cat eye. Functional activation of ONH blood flow was measured by laser Doppler flowmetry, simultaneously with NO and PO(2) using double-barrel recessed electrochemical sensors. Photic stimulation (diffuse luminance flickering light at 30 Hz) increased ONH blood flow to 127.4 +/- 4.7% (mean +/- SEM) of baseline with a transient increase in NO by 79.8 +/- 12.8 nM, while PO(2) decreased from 24.5 +/- 2.7 to 22.7 +/- 2.4 Torr (control responses, 15 trials, 10 cats). Adenosine (3 mg/kg iv) increased baseline ONH blood flow to 113.8 +/- 8.4% of control within 5 min. Functional activation of ONH blood flow was enhanced during photic stimulation, reaching a maximum of 155.8 +/- 8.1% within 5 min, and remained enhanced for 30 to 45 min. NO responses during photic stimulation were not different from control responses. Treatment with a nonspecific NO synthase inhibitor (N(G)-nitro-L-arginine methyl ester, 40 mg/kg iv, 5 cats) did not alter the increase in resting ONH blood flow or the enhanced functional activation after adenosine. We conclude that there is no interaction between NO and adenosine during functional activation of cat ONH blood flow by photic stimulation.

Nitric oxide as an anterograde neurotransmitter in the trigeminal motor pool

We demonstrate the presence of nitric oxide synthase containing fibers within the guinea pig trigeminal motor nucleus and describe the effects of nitric oxide (NO) on trigeminal motoneurons. Using immunohistochemical techniques, we observed nitrergic fibers displaying varicosities and giving rise to bouton-like structures in apposition to retrogradely labeled motoneuron processes, most of which were dendrites. NO-donors evoked a membrane depolarization (mean 7.5 mV) and a decrease in rheobase (mean 38%). These substances also evoked an apparent increase in an hyperpolarization-activated cationic current (I(H)). These changes were not accompanied by any modification of the motoneurons' input resistance or time constant. The effects were suppressed by blocking the cytosolic guanlyate cyclase. A membrane-permeant cyclic guanosine 3,5'-monophosphate (cGMP) analogue mimicked the effects of NO. There was a considerable increase in synaptic activity following NO-donors or db-cGMP application. Tetrodotoxin supressed the increase in synaptic activity evoked by NO-donors. The histological and electrophysiological evidence, taken together, indicates the existence of a nitrergic system able to modulate trigeminal motoneurons under yet unknown physiological conditions.

Model of nitric oxide diffusion in an arteriole: impact of hemoglobin-based blood substitutes

Administration of hemoglobin-based oxygen carriers (HBOCs) frequently results in vasoconstriction that is primarily attributed to the scavenging of endothelium-derived nitric oxide (NO) by cell-free hemoglobin. The ensuing pressor response could be caused by the high NO reactivity of HBOC in the vascular lumen and/or the extravasation of hemoglobin molecules. There is a need for quantitative understanding of the NO interaction with HBOC in the blood vessels. We developed a detailed mathematical model of NO diffusion and reaction in the presence of an HBOC for an arteriolar-size vessel. The HBOC reactivity with NO and degree of extravasation was studied in the range of 2-58 x 10(6) M(-1) x s(-1) and 0-100%, respectively. The model predictions showed that the addition of HBOC reduced the smooth muscle (SM) NO concentration in the activation range (12-28 nM) for soluble guanylate cyclase, a major determinant of SM contraction. The SM NO concentration was significantly reduced when the extravasation of HBOC molecules was considered. The myoglobin present in the parenchymal cells scavenges NO, which reduces the SM NO concentration.

Erythrocyte consumption of nitric oxide in presence and absence of plasma-based hemoglobin

Experimental measurements have suggested a consumption rate of nitric oxide (NO) by red blood cells (RBCs) that is orders of magnitude smaller than that of an equivalent concentration of free hemoglobin in solution. This difference has been attributed to external diffusion limitations in the transport of NO from the plasma to the surface of the RBC or to resistance in the transport through the erythrocytic membrane. A detailed mathematical model is developed to quantify the resistance to NO transport around a single RBC and to predict the consumption rate in the presence and absence of extracellular hemoglobin. We provide a description for the NO consumption rate as a function of hematocrit, RBC radius, membrane permeability, and extracellular hemoglobin concentration. We predict a first-order rate constant for NO consumption in blood between 7.5 x 10(2) and 6.5 x 10(3) s(-1) at a hematocrit of 45% for membrane permeability values between 0.1 and 40 cm/s. Our results suggest that the difference in NO uptake by RBCs and free hemoglobin is smaller than previously reported and it is hematocrit dependent.

Diffusion of nitric oxide into low density lipoprotein

A key early event in the development of atherosclerosis is the oxidation of low density lipoprotein (LDL) via different mechanisms including free radical reactions with both protein and lipid components. Nitric oxide (( small middle dot)NO) is capable of inhibiting LDL oxidation by scavenging radical species involved in oxidative chain propagation reactions. Herein, the diffusion of ( small middle dot)NO into LDL is studied by fluorescence quenching of pyrene derivatives. Selected probes 1-(pyrenyl)methyltrimethylammonium (PMTMA) and 1-(pyrenyl)-methyl-3-(9-octadecenoyloxy)-22,23-bisnor-5-cholenate (PMChO) were chosen so that they could be incorporated at different depths of the LDL particle. Indeed, PMTMA and PMChO were located in the surface and core of LDL, respectively, as indicated by changes in fluorescence spectra, fluorescence quenching studies with water-soluble quenchers and the lifetime values (tau(o)) of the excited probes. The apparent second order rate quenching constants of ( small middle dot)NO (k(NO)) for both probes were 2.6-3.8 x 10(10) m(-1) s(-1) and 1.2 x 10(10) m(-1) s(-1) in solution and native LDL, respectively, indicating that there is no significant barrier to the diffusion of ( small middle dot)NO to the surface and core of LDL. Nitric oxide was also capable of diffusing through oxidized LDL. Considering the preferential partitioning of ( small middle dot)NO in apolar milieu (6-8 for n-octanol:water) and therefore a larger ( small middle dot)NO concentration in LDL with respect to the aqueous phase, a corrected k(NO) value of approximately 0.2 x 10(10) m(-1) s(-1) can be determined, which still is sufficiently large and consistent with a facile diffusion of ( small middle dot)NO through LDL. Applying the Einstein-Smoluchowsky treatment, the apparent diffusion coefficient (D(')NO) of ( small middle dot)NO in native LDL is on average 2 x 10(-5) cm(2) s(-1), six times larger than that previously reported for erythrocyte plasma membrane. Thus, our observations support that ( small middle dot)NO readily traverses the LDL surface accessing the hydrophobic lipid core of the particle and affirm a role for ( small middle dot)NO as a major lipophilic antioxidant in LDL.