Immunological Memory and Vaccination
Why does a case of measles protect a person for life? A flu shot, by contrast, barely lasts a season. The answer lies not in the pathogen. It lies in the cells the immune system leaves behind after fighting it. Every infection or vaccination is, from the immune system's perspective, an educational event. Naive lymphocytes are recruited, tested, and expanded. A select few are converted into long-lived sentinels. These sentinels never forget the antigen they met. This durable, antigen-specific recall capacity is called immunological memory. It is the single most important property separating adaptive immunity from every other defense mechanism in biology. It is also the entire rationale for vaccination. Immunological memory matters for a key reason. It converts a slow, improvisational first encounter with a pathogen into something different. The second encounter becomes fast and overwhelming. This usually prevents disease altogether. The humoral response and T-cell activation describe how naive lymphocytes are first recruited. This article picks up where those leave off. It asks what happens to those cells after the pathogen is cleared. It also asks why some persist for decades after the antigen itself is gone. The big picture is a numbers game played out over weeks. A pathogen-specific B or T cell clone begins at a low frequency. This is roughly 1 in 10^5 to 10^6 lymphocytes. It can expand more than a thousandfold during a primary response. Then it contracts by 90–95%. What remains is a memory pool. This pool is still 10- to 100-fold larger than the original naive precursor frequency. It is also qualitatively different in its readiness to respond. Vaccines are simply deliberate, safe attempts to trigger this cycle. They aim to spark expansion, contraction, and memory formation without the risk of actual disease. This article covers several key topics. These include how memory B and T cells are generated and maintained. It also covers the kinetic and qualitative differences between primary and secondary responses. The classical experiments that proved memory is antigen-specific and cell-intrinsic are included too. Finally, it explains how vaccine design exploits these principles. This includes live-attenuated, inactivated, subunit, conjugate, and mRNA vaccines. Together, these set up the ongoing arms race described under Host-Pathogen Interactions.
- Immunological memory is the durable, antigen-specific enhancement of immune responsiveness following a first exposure — the biological basis of vaccination.
- Memory B and T cells arise from a small fraction of the massively expanded effector pool during a primary response, then persist for years to decades.
- Secondary responses are faster, larger, of higher affinity (via somatic hypermutation and affinity maturation), and dominated by IgG/IgA rather than IgM.
- Long-lived plasma cells in bone marrow maintain protective antibody titers independent of memory B cell activation.
- Classic experiments (Ehrlich, Burnet's clonal selection tests, adoptive transfer studies) proved memory is clonal, specific, and transferable via lymphocytes.
- Vaccine platforms differ mainly in how well they engage helper T cells and germinal centers, which determines whether memory forms at all and how long it lasts.
Immunological memory works because a small, selected subset of antigen-experienced lymphocytes survives clonal contraction and persists as functionally poised cells, so that a second encounter with the same antigen produces a faster, larger, higher-affinity response than the first.
The core idea
Immunological memory is the property whereby the adaptive immune system responds more rapidly, more vigorously, and more effectively to an antigen it has previously encountered. It has three defining features that distinguish it from simple leftover inflammation: it is antigen-specific (memory to measles does not protect against mumps), it is long-lived (years to a lifetime, far outlasting the antigen itself), and it is intrinsic to the lymphocyte population (memory can be transferred to a naive animal by transplanting lymphocytes alone, without transferring antigen). The cellular substrate of memory is a set of specialized long-lived lymphocyte subsets — memory B cells, memory helper T cells (CD4+), and memory cytotoxic T cells (CD8+) — plus, for humoral immunity, a separate non-dividing population called long-lived plasma cells that continuously secrete antibody without needing to see antigen again. These populations arise during a primary response, the first encounter with an antigen, which is slow (days to weeks to peak), dominated early by low-affinity IgM, and generates memory as a byproduct of clonal expansion. A subsequent secondary response to the same antigen is faster (peaks in 2–3 days rather than 1–2 weeks), of much greater magnitude, dominated by high-affinity IgG (or IgA/IgE depending on the class-switch context), and is mediated substantially by the pre-existing memory pool rather than naive lymphocytes starting from scratch. A conceptually important distinction is between memory and simple antibody persistence. Circulating antibody titers from long-lived plasma cells can provide immediate protection (this is "humoral immunity" in the strict sense) but they wane over time; memory B and T cells, by contrast, are cells poised to respond rapidly if antigen reappears, providing protection that can outlast circulating antibody by triggering a rapid new wave of plasma cell differentiation. Vaccination succeeds only when it establishes both arms adequately — which is why some vaccines require boosters and others (like the smallpox and yellow fever vaccines) give lifelong protection from a single or few doses.
Mechanism
Step 1 — Primary activation and clonal expansion. A pathogen or vaccine antigen is captured by dendritic cells and transported to the T-cell zones of lymph nodes, where it is presented on MHC class II to rare naive CD4+ T cells bearing a matching T-cell receptor (precursor frequency ~1 in 10^5–10^6). Cognate recognition, together with costimulation (CD28–B7) and cytokine signals, drives massive proliferation — a single naive T cell can generate thousands of effector daughters within a week. Simultaneously, naive B cells that bind antigen via their B-cell receptor internalize it, present peptide on MHC II, and receive help from activated CD4+ T cells (via CD40L–CD40 and cytokines), driving them into germinal centers in lymphoid follicles.
Step 2 — Germinal center reaction: affinity maturation. Inside the germinal center, B cells proliferate rapidly (dividing roughly every 6–12 hours) while their immunoglobulin genes undergo somatic hypermutation, introducing point mutations into the variable-region genes at a rate roughly a million-fold higher than the genome-wide mutation rate. Mutated B cells then compete for limited antigen displayed on follicular dendritic cells and for help from follicular helper T (Tfh) cells; only those with improved receptor affinity are positively selected to survive, a process called affinity maturation. Class switch recombination also occurs here, converting IgM-producing cells to IgG, IgA, or IgE producers depending on cytokine cues, without changing antigen specificity.
Step 3 — Bifurcation of fates. Germinal center B cells face a fork: differentiate into short-lived plasmablasts (immediate antibody producers that die within days to weeks), differentiate into long-lived plasma cells that migrate to the bone marrow and take up residence in supportive niches, or become memory B cells that re-enter circulation without secreting much antibody. The molecular switches governing this choice involve transcription factors such as Blimp-1 (driving plasma cell fate) versus Bcl-6 and Bach2 (favoring memory B cell fate), with signal strength and duration of T-cell help thought to tip the balance. Long-lived plasma cells are terminally differentiated, largely non-dividing, and can survive for decades in bone marrow niches, continuously secreting antibody — the reason measles antibody titers remain measurable 50+ years after infection even without re-exposure.
Step 4 — CD8+ T cell contraction and memory precursor selection. Analogous dynamics occur in cytotoxic T cell responses: naive CD8+ T cells recognizing peptide-MHC I on infected cells expand roughly 1,000- to 50,000-fold during acute infection, kill infected cells via perforin/granzyme and Fas/FasL pathways, then undergo a contraction phase in which 90–95% of effector cells die by apoptosis once antigen is cleared. A minority — memory precursor effector cells (MPECs), marked by high IL-7 receptor (CD127) and low killer-cell lectin-like receptor (KLRG1) expression — survive contraction and differentiate into memory CD8+ T cells. These memory T cells are maintained long-term not by continued antigen exposure but by homeostatic cytokines, principally IL-7 and IL-15, which drive slow self-renewal independent of antigen or MHC engagement.
Step 5 — Anatomical distribution of memory: central vs effector memory. Memory T cells are not a single population. Central memory T cells (Tcm) express CCR7 and CD62L, recirculate through lymph nodes and blood, have high proliferative potential but weaker immediate effector function, and function as a reserve that can rapidly expand and reseed a new effector response. Effector memory T cells (Tem) lack CCR7/CD62L, patrol peripheral tissues and blood, and mount immediate effector function (cytokine release, cytotoxicity) but proliferate less. A further subset, tissue-resident memory T cells (Trm), permanently reside in barrier tissues (skin, lung, gut) without recirculating, providing the first line of local defense — important for mucosal vaccine design.
Step 6 — The secondary response. Upon re-exposure to antigen, memory B and T cells respond faster than naive cells for concrete molecular reasons: memory B cells already express class-switched, affinity-matured B-cell receptors and require less T-cell help to reactivate; memory T cells have lower activation thresholds, reduced costimulation requirements, and pre-formed cytokine gene loci in an epigenetically "poised" chromatin state allowing near-immediate transcription. Memory B cells rapidly differentiate into plasmablasts (bypassing much of the slower germinal center reaction the first time around, though renewed germinal centers can also form for further affinity maturation), producing a wave of high-affinity IgG within 2-3 days rather than the 1-2 weeks needed in a primary response. This combination of speed, magnitude, and affinity is what typically prevents clinical disease on re-exposure, even when it does not always prevent infection outright.
The evidence
Ehrlich and the earliest demonstration of specificity (1890s–1900s). Paul Ehrlich's studies of diphtheria and tetanus antitoxins established that immunity produced by prior exposure to a toxin was specific to that toxin — animals immunized against one toxin were not protected against an unrelated one — laying the empirical groundwork for the idea that immune "memory" targets particular antigens rather than conferring generic resistance.
Burnet's clonal selection theory and its test (1957 onward). Frank Macfarlane Burnet proposed that each lymphocyte is committed before antigen exposure to make one specificity, and that antigen selects and expands pre-existing specific clones rather than instructing lymphocytes to make antibody to order (as the earlier "instructive" theories of Linus Pauling had held). This predicted that memory should be a property of clonally expanded, antigen-selected lymphocyte populations — testable because it implied memory could be physically transferred by transplanting cells, and that it should be antigen-specific down to the level of individual clones. Burnet and Gustav Nossal's subsequent single-cell studies showed that individual antibody-forming cells make antibody of only one specificity, directly supporting clonal selection over instructive models and providing the conceptual scaffold on which memory-cell biology was built. Burnet shared the 1960 Nobel Prize in Physiology or Medicine (with Peter Medawar) for work on acquired immunological tolerance that grew from this same clonal framework.
Adoptive transfer experiments proving memory is cell-intrinsic and transferable. A defining set of experiments in the mid-20th century (building on earlier tolerance and graft-versus-host work by Medawar's group and others) showed that lymphocytes from a previously immunized animal, transferred into a naive, syngeneic (genetically identical) recipient that had never seen the antigen, conferred the ability to mount a rapid, high-titer secondary-type response upon the recipient's first exposure to that antigen. Because no antibody or antigen was transferred — only cells — this proved that memory resides within the lymphocyte population itself, not in circulating antibody or lingering antigen depots. Irradiating recipients to eliminate their own lymphocytes before transfer (so that only the donor's transferred cells could respond) made the causal link unambiguous: reconstituted, irradiated mice given "immune" lymphocytes but not antibody could still mount fast secondary responses, while mice given only serum antibody could not generate durable memory-quality responses of their own.
Direct visualization of germinal centers and affinity maturation. Using antigen-specific B-cell tracking (later refined with fluorescent antigen tetramers and adoptive transfer of receptor-transgenic lymphocytes), immunologists in the 1980s–1990s directly observed germinal centers forming within days of immunization, watched somatic hypermutation accumulate in sequenced immunoglobulin genes over the course of the response, and correlated increasing antibody affinity (measured by equilibrium binding assays) with the emergence of mutated, positively selected B-cell clones — directly confirming that affinity maturation, not merely selection among pre-existing high-affinity clones, drives the improvement in antibody quality seen in secondary responses.
Human epidemiological evidence: the Faroe Islands measles outbreaks. A striking natural experiment came from measles outbreaks on the Faroe Islands, where the disease reappeared in 1846 after a 65-year absence. Peter Panum documented that virtually everyone who had survived the earlier 1781 epidemic remained immune 65 years later and did not contract measles again, while everyone born after 1781 was susceptible — a population-level demonstration that immunological memory to a single infection can last a human lifetime, long before the cellular basis was understood.
Modern confirmation via vaccine trials and memory cell quantification. Contemporary studies using MHC tetramers and ELISPOT assays can directly count antigen-specific memory T and B cells years after vaccination (for example, showing measurable smallpox-specific memory T cells in vaccinees examined decades after their last vaccination), quantitatively confirming what the classical transfer and epidemiological experiments first established indirectly.
Worked examples
Example 1 — Interpreting a serology panel to distinguish infection stage. A patient presents with fever and is tested for hepatitis A. The lab reports: anti-HAV IgM positive, anti-HAV IgG negative. Two weeks later, a repeat panel shows anti-HAV IgM weakly positive, anti-HAV IgG strongly positive. Reasoning: IgM dominance with absent IgG on presentation indicates this is a primary response, consistent with acute, current infection rather than past exposure or vaccination-derived immunity. IgM appears first because naive B cells can secrete IgM immediately upon activation, before class-switch recombination has occurred, while IgG requires T-cell help and time to class-switch. By two weeks, the appearance of strong IgG alongside waning IgM reflects the expected primary-response kinetics: IgM peaks early and declines, IgG rises later and persists — the same pattern diagrammed in the primary-response curves above. If this patient is re-exposed to HAV years later, the expected pattern would instead be a rapid, IgG-dominant rise with little or no IgM, the signature of a memory-driven secondary response, and this distinction is exactly how clinicians differentiate acute infection from re-exposure or determine that a positive IgG alone reflects past immunity (natural or vaccine-induced) rather than current disease.
Example 2 — Quantifying vaccine dosing strategy from a clonal expansion argument. Suppose a naive antigen-specific CD8+ T-cell precursor frequency is 1 in 200,000 lymphocytes, and an adult has approximately 2 × 10^12 total lymphocytes. That gives roughly 10^7 naive precursor cells specific for this antigen. A primary immunization expands this population 1,000-fold at peak (day ~8), yielding about 10^10 effector cells, which then contracts by 95%, leaving a memory pool of about 5 × 10^8 cells — a 50-fold increase over the naive starting frequency. If a second dose (booster) is given after the memory pool has stabilized (say at 4 weeks), the starting population for the secondary response is now 5 × 10^8 cells rather than 10^7 — a 50-fold higher starting frequency, each cell also primed with lower activation thresholds and pre-formed effector machinery. Modeling the same relative expansion kinetics, the secondary peak response is reached faster (because fewer doublings are required to reach a protective threshold) and at severalfold higher absolute magnitude. This is the quantitative logic behind why most multi-dose vaccine schedules (e.g., two- or three-dose series for hepatitis B, HPV, or many childhood vaccines) space doses weeks to months apart: giving the booster too early, before the memory pool and germinal center reaction from dose one have matured, wastes the affinity-maturation benefit and does not achieve the same fold-increase in starting precursor frequency for dose two.
Common misconceptions & traps
| Misconception | Why it's wrong |
|---|---|
| "Memory cells constantly divide to maintain their numbers, driven by leftover antigen." | Memory T cells are maintained mainly by homeostatic cytokines (IL-7, IL-15) via slow antigen-independent turnover, not by persistent antigen; some memory (e.g., to certain herpesviruses) does involve low-level antigen persistence, but this is the exception, not the rule. |
| "A vaccine that doesn't prevent infection has failed." | Many vaccines primarily prevent severe disease by accelerating clearance via memory responses, without necessarily achieving sterilizing immunity that blocks infection entirely — these are different (and both clinically valuable) endpoints. |
| "IgM means active current infection; IgG means you're immune forever." | IgG indicates past exposure or vaccination but titers and protection can still wane; conversely, IgM can occasionally reappear or persist longer in some individuals, so isolated antibody class is a heuristic, not an absolute rule. |
| "Antibody titer alone measures immunity." | Protection depends jointly on circulating antibody (from long-lived plasma cells) and the ability of memory B/T cells to rapidly regenerate a response; some individuals with low measurable titers remain protected because memory cells respond fast enough upon exposure. |
| "Natural infection always gives better memory than vaccination." | This varies by pathogen: measles infection and its vaccine both give durable, near-lifelong memory, whereas natural influenza infection and influenza vaccination both give comparatively short-lived, strain-specific memory — the determining factor is antigenic stability and how well germinal centers are engaged, not the natural-versus-vaccine distinction itself. |
The scientist behind it
Frank Macfarlane Burnet trained originally as a virologist in Melbourne, Australia, working on bacteriophage and influenza before turning to the deeper theoretical problem of how the immune system distinguishes self from non-self and "remembers" prior encounters. Dissatisfied with the prevailing "instructive" theories (in which antigen was thought to physically mold antibody-forming machinery), Burnet proposed in 1957 that the immune system instead pre-generates a vast repertoire of lymphocytes, each committed to one antigen specificity before ever meeting antigen, and that antigen simply selects and clonally expands the matching lymphocytes — the clonal selection theory. This reframing explained, in a single stroke, both specificity (only matching clones expand) and memory (expanded clones persist as an enlarged, primed population), and it directly predicted phenomena — such as the cell-transferability of immunity and single-specificity of individual antibody-forming cells — that were subsequently confirmed experimentally by Burnet's collaborator Gustav Nossal and others.
Origins · 1 minFrank Macfarlane Burnet and how this was discovered
Virologist-turned-immunologist whose clonal selection theory (1957) explained both antigen specificity and immunological memory as consequences of selective clonal expansion among pre-existing, committed lymphocytes, replacing earlier "instructive" antibody models.
Where this matters today
Vaccine platform design. Understanding memory formation directly explains why different vaccine types produce different durability of protection. Live-attenuated vaccines (measles, mumps, rubella, yellow fever, oral polio) replicate transiently in the host, engaging innate danger signals, sustained antigen presentation, and robust germinal center reactions, typically producing decades-long or lifelong memory from one or two doses. Inactivated or subunit vaccines (influenza, acellular pertussis) present antigen without replication, often generating weaker or shorter germinal center engagement, necessitating boosters or adjuvants. Conjugate vaccines (Haemophilus influenzae type b, pneumococcal conjugate vaccines) chemically link a poorly immunogenic bacterial polysaccharide to a carrier protein, recruiting CD4+ T-cell help for what would otherwise be a T-independent, memory-poor response — a direct engineering application of the helper-T-cell-dependence principle underlying germinal centers. mRNA vaccines (COVID-19) deliver instructions for antigen synthesis directly in host cells, engineered with lipid nanoparticle adjuvant properties that strongly engage dendritic cells and germinal centers, generating robust but — for SARS-CoV-2 specifically — comparatively short-lived neutralizing antibody responses, prompting booster schedules informed directly by memory decay kinetics.
Correlates of protection and public health policy. Measuring memory B/T cell frequencies and antibody titers post-vaccination informs decisions about booster timing (e.g., tetanus boosters every 10 years, annual influenza vaccination due to antigenic drift, COVID-19 boosters), and underlies the epidemiological concept of herd immunity thresholds, which depend on what fraction of a population carries protective memory.
Immunodeficiency and aging. Conditions that impair germinal center function (e.g., CD40 ligand deficiency, common variable immunodeficiency) or T-follicular helper cell development cripple memory formation despite normal-looking naive lymphocyte counts, explaining why such patients respond poorly to vaccination. Immunosenescence — the age-related decline in naive T-cell output and germinal center efficiency — explains reduced vaccine responsiveness in the elderly, motivating high-dose and adjuvanted vaccine formulations for older adults.
Cancer immunotherapy and beyond. The principles of memory-cell differentiation now inform cancer vaccine design and CAR-T cell engineering, where investigators deliberately try to bias engineered T cells toward a central-memory-like phenotype to improve their long-term persistence and anti-tumor surveillance — a direct translational extension of the same MPEC/memory-precursor biology first characterized in infectious disease models, and a bridge toward the broader dynamics of pathogen evasion and immune escape explored under Host-Pathogen Interactions.
Ask the tutor: How do adjuvants in modern vaccines actually boost germinal center reactions at the molecular level?
Why do some vaccines require multiple doses while others give lifelong protection from one shot?
The difference largely reflects how strongly and how long the vaccine engages germinal centers and helper T cells. Live-attenuated vaccines (measles, yellow fever) replicate in the body, providing sustained antigen exposure and strong innate danger signals that drive robust, long-lasting germinal center reactions and abundant long-lived plasma cells after a single dose. Inactivated or subunit vaccines present a fixed, non-replicating antigen dose that triggers a weaker or shorter germinal center response, so a first dose "primes" a memory pool that a second dose then dramatically boosts (higher starting precursor frequency, fewer expansion cycles needed to reach protective levels). Some pathogens (influenza) also mutate their surface antigens rapidly, meaning old memory doesn't match new circulating strains, necessitating annual reformulation regardless of memory durability itself.
Does immunological memory ever fail, and if so why?
Yes, in several distinct ways. First, memory can be antigen-mismatched: influenza and rhinoviruses mutate their surface antigens (antigenic drift/shift) fast enough that old memory no longer recognizes the new variant, causing repeat infections despite functioning memory cells. Second, memory can simply wane: some vaccines and infections (pertussis, SARS-CoV-2 neutralizing antibody) produce memory that declines over months to a few years, requiring boosters. Third, some pathogens actively subvert memory formation — HIV, for instance, infects and destroys CD4+ helper T cells, crippling the very germinal center help needed to generate durable B-cell memory. Finally, immunodeficiencies affecting T-follicular helper cells or CD40 signaling can prevent germinal centers from forming at all, regardless of how many times a person is exposed or vaccinated.
What's the actual difference between a "primary" and "secondary" immune response at the cellular level?
A primary response starts from rare naive lymphocytes (roughly 1 in 10^5–10^6) that must first be found by antigen, activated, and expanded from scratch, a process taking one to two weeks to peak and producing mostly low-affinity IgM initially. A secondary response starts from a much larger, pre-existing pool of memory lymphocytes (10- to 100-fold more frequent than the original naive precursors) that already have lower activation thresholds, class-switched receptors, and in the case of B cells, higher-affinity, somatically hypermutated receptors from the first round of germinal center selection. The result is a response that peaks in 2-3 days instead of 1-2 weeks, reaches a substantially higher magnitude, and is dominated by high-affinity IgG (or other switched isotypes) rather than IgM.
How does the immune system decide which activated B or T cells become memory cells versus which ones die?
The decision is governed by transcriptional programs responding to the strength and duration of antigen and costimulatory signaling, though the precise rules are still an active research area and not fully "solved." In B cells, weaker or shorter signals combined with transcription factors like Bcl-6 and Bach2 favor a memory B cell fate, while strong, sustained signaling with high Blimp-1 expression drives terminal plasma cell differentiation. In CD8+ T cells, cells expressing high levels of the IL-7 receptor (CD127) and low KLRG1 during the effector phase are more likely to survive contraction and become memory precursor effector cells (MPECs), while KLRG1-high, IL-7Rα-low cells are more terminally differentiated and mostly die. Ongoing homeostatic cytokine signals (IL-7, IL-15) then sustain the surviving memory pool indefinitely without further antigen exposure.
Why does the Faroe Islands measles story count as real evidence rather than just an anecdote?
It qualifies as evidence because it was a natural experiment with a clear, quantifiable pattern rather than an isolated case report: Peter Panum systematically documented that among the roughly 7,800 Faroese residents during the 1846 outbreak, essentially everyone who had been alive during the prior 1781 epidemic (65 years earlier) was spared, while everyone born after 1781 fell ill, producing a sharp age-defined boundary in susceptibility that matched historical epidemic timing precisely. This pattern is exactly what the clonal selection/memory model predicts (durable, antigen-specific protection from prior exposure) and is inconsistent with alternative explanations like generic acquired resistance or nutritional differences, which would not produce such a clean historical cutoff.
Is vaccine-induced memory ever weaker than infection-induced memory, and does that matter clinically?
Sometimes, yes — but it depends heavily on the specific vaccine platform and pathogen, not on "natural vs artificial" as a general rule. For measles, both natural infection and the live-attenuated vaccine produce comparably durable, often lifelong, memory. For pathogens like SARS-CoV-2, both natural infection and current vaccines produce relatively short-lived neutralizing antibody responses with reinfection/breakthrough possible, though memory T cells and memory B cells from either route still typically blunt disease severity. Some non-replicating or subunit vaccines can produce a narrower or shorter-lived response than natural infection with a replicating pathogen simply because they provide less sustained antigen and fewer danger signals to drive germinal centers — this is precisely why adjuvants (immune-stimulating vaccine components) are added to boost germinal center engagement in such vaccines.
What is a "correlate of protection" and why does it matter for interpreting antibody titers?
A correlate of protection is a measurable immune marker (usually an antibody titer threshold, sometimes a T-cell frequency) that is statistically associated with protection against disease, established by comparing antibody levels in vaccinated or naturally immune individuals who did versus did not become infected or ill upon exposure. It matters because raw seropositivity ("some detectable antibody") doesn't tell you whether a person is actually protected — only a validated correlate, calibrated against real outcome data, does that. Correlates of protection are what allow regulators to approve new vaccine formulations or schedules based on immunogenicity data alone, without needing a full-scale efficacy trial for every variant, and they are central to deciding when booster doses are warranted as titers decline over time.