Details
| Original language | English |
|---|---|
| Pages (from-to) | 315-322 |
| Number of pages | 8 |
| Journal | Bioprocess Engineering |
| Volume | 12 |
| Issue number | 6 |
| Publication status | Published - May 1995 |
Abstract
Starting from the results of a morphologically detailed description of pellet development, a mathematical model is presented which is expected to yield equivalent results with substantially less computing expenditure. The simplification of the original model (part I of the paper) resulted in an about 60-100fold reduction of the demands for computing capacity. This was achieved by averaging the mycelial morphology within radial layers. Quantities such as cell volume density and substrate consumption rates were taken to be constant within a layer. The description by means of partial differential equations was intentionally omitted except for the mass-transfer into the pellet. The results of the layer model show a far-reaching equivalence to the detailed single-hypha-model. Data from image processing investigations and microprobe measurements of oxygen and glucose in Penicillium chrysogenum pellets correspond to the simulation results. The model appears suitable for further process-simulations with larger ensemble of pellets.
ASJC Scopus subject areas
- Biochemistry, Genetics and Molecular Biology(all)
- Biotechnology
- Immunology and Microbiology(all)
- Applied Microbiology and Biotechnology
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Bioprocess Engineering, Vol. 12, No. 6, 05.1995, p. 315-322.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Two mathematical models for the development of a single microbial pellet - Part II
T2 - Simulation of the pellet growth of Penicillium chrysogenum by a fast method equivalent to a morphological detailed description
AU - Meyerhoff, J.
AU - Bellgardt, K. H.
PY - 1995/5
Y1 - 1995/5
N2 - Starting from the results of a morphologically detailed description of pellet development, a mathematical model is presented which is expected to yield equivalent results with substantially less computing expenditure. The simplification of the original model (part I of the paper) resulted in an about 60-100fold reduction of the demands for computing capacity. This was achieved by averaging the mycelial morphology within radial layers. Quantities such as cell volume density and substrate consumption rates were taken to be constant within a layer. The description by means of partial differential equations was intentionally omitted except for the mass-transfer into the pellet. The results of the layer model show a far-reaching equivalence to the detailed single-hypha-model. Data from image processing investigations and microprobe measurements of oxygen and glucose in Penicillium chrysogenum pellets correspond to the simulation results. The model appears suitable for further process-simulations with larger ensemble of pellets.
AB - Starting from the results of a morphologically detailed description of pellet development, a mathematical model is presented which is expected to yield equivalent results with substantially less computing expenditure. The simplification of the original model (part I of the paper) resulted in an about 60-100fold reduction of the demands for computing capacity. This was achieved by averaging the mycelial morphology within radial layers. Quantities such as cell volume density and substrate consumption rates were taken to be constant within a layer. The description by means of partial differential equations was intentionally omitted except for the mass-transfer into the pellet. The results of the layer model show a far-reaching equivalence to the detailed single-hypha-model. Data from image processing investigations and microprobe measurements of oxygen and glucose in Penicillium chrysogenum pellets correspond to the simulation results. The model appears suitable for further process-simulations with larger ensemble of pellets.
UR - http://www.scopus.com/inward/record.url?scp=0029060968&partnerID=8YFLogxK
U2 - 10.1007/BF00369508
DO - 10.1007/BF00369508
M3 - Article
AN - SCOPUS:0029060968
VL - 12
SP - 315
EP - 322
JO - Bioprocess Engineering
JF - Bioprocess Engineering
SN - 0178-515X
IS - 6
ER -