$$H'=aH-bHL$$
$$L'=cHL-dL$$
$H$ hares, $L$ lynxes
hare birth rate $a$, predation rate $b$,
consumption rate $c$, death rate $d$
(Other solutions: experiments, causal inference)
(working hypothesis)
The susceptible fraction determines a pathogen's growth rate
$$I' > 0 \Rightarrow \frac{\beta S}{N} > \gamma$$
transient dynamics and noise
host population structure
...
more complex forms of immunity
multiple "immunophenotypes"
(in ways that impacts fitness?)
Less specific
Nearly memoryless
But diverse and dynamic
Extremely fast destruction, tagging, and signalling
Attacks via lectin, "alternative," and classical pathways
Effective against viruses, bacteria, parasites
Tags pathogens ("opsonization"), perforates (MACs)
Attracts phagocytes
Long-lived sentinels and killers
Resting, primed, or hyperactive
Display to T cells via MHC class II
Secrete IL-1, TNF, complement proteins to kill and signal
"On call," do most of the dirty work
70% of WBCs, 100 billion produced daily, live 5 days
Respond to IL-1, TNF, f-met peptides from macrophages
Just kill and signal (e.g., IL-2)
"On call" for some killing and signalling
Target tumor cells, virus-infected cells, bacteria, parasites, fungi
Activated by LPS, interferons produced by dying cells
Kill cells bound by Abs (ADCC) or not expressing MHC class I
Major supplier of cytokines like IFN-$\gamma$ and TNF
Pattern recognition receptors expressed on surfaces of lymphocytes
10 identified in humans so far (TLR1-10)
Recognize "pathogen-associated molecular patterns" (PAMPs)
e.g., TLR3 recognizes dsRNA (viral infections), TLR4 lipopolysaccharide (LPS) on bacteria
More specific
Some memory
Bind peptides 8-11 amino acids long
Expressed on almost every cell
In humans, six genes encoded by HLA-A, HLA-B, HLA-C
Recognized by CTLs (CD8+ T cells)
Bind peptides 13-25 amino acids long
Expressed only by immune cells
In humans, encoded by HLA-D
Recognized by helper T cells (CD4+ T cells)
Use TLRs and other receptors to detect pathogens
Sensitive to local cytokine profiles
Once in lymph nodes, use diverse costimulatory molecules to activate T cells
Antigens presented by dendritic cells, macrophages, B cells
Co-stimulation required (B7 binds to CD28)
Dendritic cells provide "snapshot"
Macrophages provide sustained support
B cells can concentrate rare and familiar antigen
Produced by rearrangement, educated in thymus
If stimulated by DCs, proliferate (6-h doubling time)
After several days, become "effector cells", which
(1) remain in blood, helping B cells and CTLs, or
(2) help innate and adaptive cells in infected tissue.
Th cells secrete specific cytokine profiles!
Th1: IL-2, IFN-$\gamma$, TNF (viruses and bacteria)
Th2: IL-4, IL-5, IL-10 (parasite and mucosal infections)
Th17: IL-17A, IL-17F, IL-21, IL-22 (mucosal infections)
Signalling is local!
Activated in lymph node, requires Th
Proliferates following activation, enters tissue
Carefully kills infected cells via MHC I
Requires IL-2 (often from Th) to keep proliferating
Rearrangement of variable gene segments
Somatic hypermutation during affinity maturation
Antibodies are secreted B cell receptors
Formally, variation in surface proteins (antibody targets)
Broader concepts may be more useful
Unclear how memory B and T cells selected
Location of activation affects trafficking
(some circulate, some resident)
How does the immune system distinguish self from non-self?
Central tolerance: positive selection for non-self recognition
Peripheral tolerance: lack of co-stimulation, activation-induced cell death, regulatory T cells
"Receptor editing" occurs in bone marrow
T cells prevent some binding to self
Self-antigens rarely opsonized
arises in innate and adaptive immunity
Autoimmunity costly but increases winter survival
ELISAs
neutralization assays
others (e.g., HAI/HI, SPR, protein microarrays)
effector functions (ADCC, ADCP)
Readout: Absorbance or optical density (OD)
ELISPOT: assays individual T cells cytokine production
Antigen stimulation with flow cytometry
Peptide:MHC tetramers to identify specificity
Repertoire analysis
Single-cell approaches
Local measurements
"Correlates" v. "causes" of protection
Partial clues: KOs, disorders, infection risk, evolution
Hide (human papillomavirus, HIV, EBV)
Suppress (cytomegalovirus)
Distract (hepatitis B virus)
Disguise (HIV)
Outrun (influenza A)
Nearly 100% prevalence, but slow evolution
Competition for susceptible hosts generates complex dynamics
Formal models beat intuition
Pathogens interact with multiple immune populations
Pathogens interact with very different hosts
Pathogens show extensive diversity, not only antigenic
Pathogens can compete with and facilitate one another