For the purposes of rapid revision, the key influences on parmacokinetics in critical illness are as follows:
Factors which decrease the antibiotic peak dose:
Factors which increase the antibiotic peak dose:
Factors which increase the antibiotic half-life
Factors which decrease the antibiotic half-life
This diagram (or one very much like it) had come up in Question 3.2 from the second paper of 2014. In short, it represents two situations: one in which a steady concentration is maintained, and one in which there is drug accumulation and increased halflife due to ineffective clearance mechanisms. Thus, this question relates to the topic of antibiotic dosing in renal failure, which enjoys a more thorough discussion elsewhere.

Obviously, if the MIC is somewhere halfway though the Patient D curve, all the bugs in Patient E will certainly die. However, Patient E will probably also develop tinnitus, psychosis, or bone marrow failure.
A number of factors influence the actual effective serum concenration of an antibiotic administered to a patient with critical illness. Additionally, the college asked about pharmacokinetic changes in critical illness (specifically in sepsis) in Question 10 from the second paper of 2015. An excellent article by Marta Ulldemolins (2011) goes though this very thoroughly. In brief summary:
In Question 1 from the first paper of 2000, the candidates were invited to "List briefly ways in which clinical illness can change the pharmacokinetics and pharmacodynamics of antibiotic therapy". The pharmacokinetics side of things is well covered above; pharmacodynamics are more tricky. The college answer dwells on the increased susceptibility to organ toxicity, for "vulnerable" organs such as under-perfused kidneys, and other such factors. Unfortunately, this is all you get when you search for this in the literature.
Enhanced organ toxicity
Antibiotic toxicity will increase not only because clearance might be impaired, but because the organs themselves are likely damaged, and are therefore relatively defenceless. Toxicity may develop at drug levels which might otherwise be viewed as safe. Examples of this may include:
In Question 10 from the second paper of 2015, the examiners asked us to "outline how the pathophysiological changes in septic shock affect the pharmacokinetics and pharmacodynamics of commonly used antimicrobials". The college then went on to give an answer which - if transposed verbatum - would have perfectly answered Question 1 from the first paper of 2000. They just listed the pharmacological changes in critical illness. What was specific to sepsis in there? Nothing. And then, they did it all again in Question 27 from the second paper of 2020. One must suppose we need repeats to give us all a chance.
Fortunately there are some articles which address this issue more directly. For instance, De Paepe et al (2002) offer a detailed treatise on this topic. It's practically designed to answer Question 10. Many of the issues are the same (septic shock is after all a "critical illness" ) but a few interesting tidbits are specific to sepsis. These have been summarised into point form, all the better to plug in to the SAQ discussion. The changes are largely pharmacokinetic. The authors lament: "Our literature search yielded only one clinical study that investigated the pharmacodynamics of a drug during septic shock" (it was dobutamine).
Question 19 from the antibiotic-mad second paper of 2015 presented the candidates with a series of "pharmacodynamic profiles", and then asked about pharmacokinetics of antibiotic dose adjustment.
Obviously in Scenario 1 the antibiotics will never be effective as the MIC is never achieved, and in Scenario 2 the antibiotics will kill the bugs shortly before they kill the patient with toxicity. In Scenario 3, one might argue that nothing nees to change for antibiotics with concentration-dependent killing; whereas those with time-dependent killing should probably be dosed more regularly (or given as an infusion).
Craig, William A. "Pharmacokinetic/pharmacodynamic parameters: rationale for antibacterial dosing of mice and men." Clinical infectious diseases (1998): 1-10.
Ulldemolins, Marta, et al. "Antibiotic dosing in multiple organ dysfunction syndrome." CHEST Journal 139.5 (2011): 1210-1220.
Trotman, Robin L., et al. "Antibiotic dosing in critically ill adult patients receiving continuous renal replacement therapy." Clinical infectious diseases 41.8 (2005): 1159-1166.
Drusano, George L. "Antimicrobial pharmacodynamics: critical interactions of'bug and drug'." Nature Reviews Microbiology 2.4 (2004): 289-300.
De Paepe, Peter, Frans M. Belpaire, and Walter A. Buylaert. "Pharmacokinetic and pharmacodynamic considerations when treating patients with sepsis and septic shock." Clinical pharmacokinetics 41.14 (2002): 1135-1151.
Piafsky, Kenneth M., et al. "Increased plasma protein binding of propranolol and chlorpromazine mediated by disease-induced elevations of plasma α1 acid glycoprotein." New England Journal of Medicine 299.26 (1978): 1435-1439.
Muller, Claudia M., et al. "Nitric oxide mediates hepatic cytochrome P450 dysfunction induced by endotoxin." The Journal of the American Society of Anesthesiologists 84.6 (1996): 1435-1442.