dt The Gompertz growth model is commonly used to model tumor cell growth. Let v(t) be the tumor's volume, then du(t) = A e-atv(t) where A and a are two appropriate constants. (a) Verify that the solution is given by v(t) = voe/a(1-e-at), where vo is the initial tumor volume. (b) This model takes into account the fact that when nutrients and oxygen are scarce at the tumor's core, its growth is impaired. Find the final predicted tumor volume (let too). (c) For a specific mouse tumor, it was experimentally found that λ = 2.5 days, a = 0.1 days with vo = 50 x 10³ mm³. Use any method available to make a plot of v(t) vs t. (d) Check the result obtained in Part b with the results from the graph from pat c.

dt The Gompertz growth model is commonly used to model tumor cell growth. Let v(t) be the tumor's volume, then du(t) = A e-atv(t) where A and a are two appropriate constants. (a) Verify that the solution is given by v(t) = voe/a(1-e-at), where vo is the initial tumor volume. (b) This model takes into account the fact that when nutrients and oxygen are scarce at the tumor's core, its growth is impaired. Find the final predicted tumor volume (let too). (c) For a specific mouse tumor, it was experimentally found that λ = 2.5 days, a = 0.1 days with vo = 50 x 10³ mm³. Use any method available to make a plot of v(t) vs t. (d) Check the result obtained in Part b with the results from the graph from pat c.

Principles of Instrumental Analysis

7th Edition

ISBN:9781305577213

Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Chapter34: Particle Size Determination

Section: Chapter Questions

Problem 34.10QAP

See similar textbooks

Similar questions

2 what is the purpose of BSC Level 1 & 2, proper layout, performance, and its application in biosafety assessment
There's 1 drink (and you are asked to determine the glucose concentration in the drink in the units of g/100mL. (Why these units? Well, once you have the concentrations in g/100mL you will be able to compare your values with the nutritional values given on the drink bottles’ labels). The sample of the drink was diluted 1/100 (i.e. by a factor of 100). This was an essential step in the method because, without it, the machine used to analyse the glucose concentration (spectrophotometer) would have given an error as the concentration would have been too high for accurate detection. What this means for you is that the dilution factor will need to be taken into consideration in your calculations (remember the aim is to calculate the concentration in the original drink and not in the diluted drink). You measured the concentration of their diluted drink using the spectrophotometer and their results were provided to them in the units mM (millimolar). Glucose Concentration in mM of drink =…
There's 1 drink (and you are asked to determine the glucose concentration in the drink in the units of g/100mL. (Why these units? Well, once you have the concentrations in g/100mL you will be able to compare your values with the nutritional values given on the drink bottles’ labels). The sample of the drink was diluted 1/100 (i.e. by a factor of 100). This was an essential step in the method because, without it, the machine used to analyse the glucose concentration (spectrophotometer) would have given an error as the concentration would have been too high for accurate detection. What this means for you is that the dilution factor will need to be taken into consideration in your calculations (remember the aim is to calculate the concentration in the original drink and not in the diluted drink). You measured the concentration of their diluted drink using the spectrophotometer and their results were provided to them in the units mM (millimolar). Glucose Concentration in mM of drink =…
You are trying to come up with a drug to inhibit the activity of an enzyme thought to have a role in liver disease. In the laboratory the enzyme was shown to have a Km of 1.0 x 10-6 M and Vmax of 0.1 micromoles/min.mg measured at room temperature. You developed a competitive inhibitor. In the presence of 5.0 x 10-5 M inhibitor, the apparent Km of the enzyme was found to be 1.5 x 10-5 M. What is the Ki of the inhibitor?
At 0°C and 1 bar, a monolayer of CO adsorbed on 1 g of Fe/Al2O3 catalyst occupies a volume of 4.25 cm3. What is the area of the catalyst? The area per adsorbed particle is 0.165 nm2. Give your answer in m2.
Here is a use objective for a chemical analysis to be performed at a drinking water purification plant: “Data and results collected quarterly shall be used to determine whether the concentrations of haloacetates in the treated water demonstrate compliance with the levels set by the Stage 1 Disinfection By-products Rule using Method 552.2” (a specification that sets precision, accuracy, and other requirements). Which one of the following questions best summarizes the meaning of the use objective?(i) Are haloacetate concentrations known within specified precision and accuracy?(ii) Are any haloacetates detectable in the water?(iii) Do any haloacetate concentrations exceed the regulatory limit?
An aquifer contaminated with petroleum is found to have the following component concentrations at a particular site: benzene 158 ppm toluene 124 ppm ethylbenzene 91 ppm xylene 45 ppm n-heptadecane 161 ppm pristane 84 ppm Provide an estimate for the age of the spill at this site using (a) BTEX ratio and (b) nC17:Pr ratio. Show your calculations and use units throughout. Give proper s.f. for the answer.
It is estimated that the net amount of carbon dioxide fixed byphotosynthesis on the landmass of Earth is 5.5 x 1016 g/yrof CO2. Assume that all this carbon is converted into glucose.(a) Calculate the energy stored by photosynthesis onland per year, in kJ. (b) Calculate the average rate of conversionof solar energy into plant energy in megawatts, MW11W = 1 J/s2. A large nuclear power plant produces about103 MW. The energy of how many such nuclear power plantsis equivalent to the solar energy conversion?
6. A stock solution containing 25% w/v of chlorhexidine is used to prepare an antiseptic such that when the antiseptic is diluted 1 in 25, a 1 in 500 wash solution is obtained which is ready for use by the patient. What volume (ml) of the stock solution is required to prepare 5 litres of the antiseptic to fulfil a bulk manufacturing order?
A 60-year-old woman who weighs 75kg requires a loading dose of an antibiotic to treat an infection. A plasma concentration of 4.5 mg/L of the antibiotic needs to be achieved for optimal therapeutic effectiveness. The volume of distribution (Vd) of this antibiotic is 0.2 L/kg. The salt factor (S) is 0.6 and bioavailability fraction (F) is 1. The antibiotic is available as a 100 mg/mL infusion.Loading dose = Amount of drug in the bodyBioavailability (F) x Salt fraction (S)Amount of drug in the body = Target conc. (C) x Volume of distribution (Vd)How many millilitres of antibiotic infusion need to be administered?State your answer to 1 decimal place.unit- ml
Was the gradual color change observed when the sodium thiosulfate (Na2S2O3) crystal was added to the aqueous solution of KI/12 in Station Cevidence of a chemical or physical change?
A wet pipette was used to transfer 10.00 mL of 1M HNO3 in the determination of ΔHrxn. [magnitude of ΔHrxn] In a maximum of 3 sentences explain why ΔHrxn decreases.