Get Mathematical Models in Medicine: Workshop, Mainz, March 1976 PDF

Nonfiction 8

By K. Dietz (auth.), Jürgen Berger, Wolfgang J. Bühler, Rudolf Repges, Petre Tautu (eds.)

Show description

Read or Download Mathematical Models in Medicine: Workshop, Mainz, March 1976 PDF

Similar nonfiction_8 books

Read e-book online Field-Scale Water and Solute Flux in Soils PDF

This ebook comprises the lawsuits of the 1st workshop held at Monte Verit� close to Ascona, Switzerland on September 24-29, 1989. The workshop used to be designed to survey the present knowing of water and solute shipping via unsaturated soils less than box stipulations, and to foster learn via discussing a few unresolved key matters relative to move modeling and experimentation in 4 "Think Tank" teams.

Seminar on Nonlinear Partial Differential Equations by Stuart S. Antman (auth.), S. S. Chern (eds.) PDF

While the Mathematical Sciences study Institute used to be begun within the Fall of 1982, one of many courses used to be "non-linear partial differential equations". A seminar was once geared up whose viewers consisted of graduate scholars of the collage and mature mathematicians who're now not specialists within the box. This quantity comprises 18 of those lectures.

Read e-book online Regulation of Plasma Low Density Lipoprotein Levels PDF

Ldl cholesterol is key for regular mobile functionality. it truly is present in all cells of the physique and is a huge constituent of phone membranes. additionally, convinced really good tissues use ldl cholesterol because the easy substrate for the synthesis of extra complex sterols resembling bile acids and the steroid hormones.

Get Ecotoxicology: Problems and Approaches PDF

Ecotoxicology is the technology that seeks to foretell the affects of chemi­ cals upon ecosystems. This comprises describing and predicting ecological alterations resulting from various human actions that contain free up of xenobiotic and different chemical substances to the surroundings. A basic precept of ecotoxicology is embodied within the inspiration of swap.

Extra info for Mathematical Models in Medicine: Workshop, Mainz, March 1976

Example text

O Il. 0 + - - - - - - -____________ o Fig. 5 40 TIME 80 Dynamics of the single direct life cycle model ( equations 13, 14 and 15 ) regulated by a lethal level mechanism in the absence of other types of density dependent constrains (s=6). "'host population H in the absence of the parasite. A statistic D can be defined as the depression of the host equilibrium as a result of parasitic infection where D • H ~ The parameter can adopt values between 0 and 1, beeing unity when no depression effect is operating and thus it varies inversely with the degree of depression caused by the parasite.

Changes in lethal burdens between 3 and 10 thus cause a much more marked change in the depression than do changes at much higher values of s. 90+-----1-0-------20-------3-0- LETHAL Fig. 6 BURDEN s The relationship between the parameter D and the lethal level s. (A.. 1 = 5. 0 ,)J.. 0, l. 01 ). An obvious consequence of increasing the lethal burden is for the mean parasite burden per host to increase in a roughly linear fashion with increasing s ( Fig. 7 ). 15 '. LETHAL BURDEN Fig. 0, m where x. 01 ).

These low levels of D, with increasing egg production, eventually plateau out and thus marked increases in parasite reproduction do not have any further detrimental effects on the host population equilibrium level. The mean parasite burden rises with increasing values of 1 1 until a plateau is again reached ( Fig. 14 ). 43 D 0-5 0-0 L-------------r-----,------r 40 o ~ RATE OF EGG Fig. 01 ). ~0---------3~0 RATE OF EGG Fig. 5, ci. 01 ). A1 ( f3 44 Interestingly, these results suggest that there may be an optimum reproductive rate for a given parasite species above which the returns gained for increased investment of energy in egg production are of little v~lue in terms of increased population size.

Download PDF sample

Rated 4.37 of 5 – based on 20 votes