A Comparison between Analytical and Numerical Solution of the Krogh's Tissue Cylinder Model for Human Bone Marrow
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Bibliographic record
Abstract
The Danish physiologist, August Krogh is the founder of the theory of oxygen transport to tissues. It washis famous tissue cylinder model developed for skeletal muscle, together with his colleague mathematicianErlang that laid down the foundation of the mathematical modeling of oxygen transport to tissues. Here ananalytical solution of the Krogh’s model has been presented based on justifiable assumptions in order tovalidate the numerical approach used to solve more realistic oxygen transport models. The numericalsolution of Krogh’s model is performed using computational fluid dynamics (CFD) software CFX 4.4.From the analytical solution, it is demonstrated that variation from the numerical result is less than 0.2%which in turn justifies the use of computer software in developing mathematical model for suchphysiological systems like BM.Journal of Chemical Engineering Vol.ChE 24 2006 1-6
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it