Introduction
Biological tissues are active living materials, whose physical states affect emergent function. The physical
principles of liquid -like systems influence function at multiple biological scales, from the dynamics of
intracellular biomolecular condensates that organize the cell's interior (1) to the self-organization of cells
into tissues that drive morphogenesis in the embryo (2, 3) . However, while most developing tissues
transition from liquid-like to solid-like states as they mature (4), immune tissue is a notable exception: it
must remain perpetually fluid and protean to carry out its functions of surveillance and response.
This lifelong fluidity is exemplified in germinal center s (GCs) , which can form trans iently in native
secondary lymphoid organs, such as lymph nodes (5), or ectopic tertiary lymphoid structures that can form
at cancer or chronic inflammation sites (6–10). In GCs, B cells undergo Darwinian selection to enrich for a
subset of B ce lls that produce high-affinity antibodies (11, 12). Live imaging has shown GCs to be highly
dynamic tissue structures that undergo constant cellular rearrangements (13, 14). This is likely because
the efficiency of antibody selection depends on how quickly B cells can find antigens, compete for them,
locate helper T cells , and shuttle between light and dark zones —all processes fundamentally limited by
cellular reorganization dynamics and tissue material properties . The regulation of these dynamics is
complex and not fully understood. While B cells can be steered when migrating by chemokine gradients
(15) and "decelerate" during direct physical tethering to T follicular helper (TFH) cells (16), it remains
unknown if chemical cues could also tune the intrinsic way in which B cells interact with their neighbors
in three dimensions. Such a mechanism would represent a distinct and higher-level mode of control,
programming the material properties of the tissue by altering multicellular interaction dynamics.
To address th e possible existence of this type of physical mechanism of controlling immune cell self -
assembly, we first developed a computational model to test the theoretical importance of such regulation
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within the context of the GC. We then established a simplified experimental system to provide a direct,
proof-of-principle test for whether key immune signals can, in fact, reprogram the physical properties of
immune tissue. Our findings reveal a previously unrecognized layer of biophysical control in the immune
system, where the same signals that dictate immune cell fate also program the active material state of the
multicellular collective.
Results
Tissue fluidity as a control parameter for B cell evolution
The GC is a transient yet highly organized microanatomical niche within lymphoid organs that
functions as an evolutionary machine for B cells (5, 17 –20). Within these structures, B cells
undergo iterative cycles of mutation, proliferation, and affinity-based selection through dynamic
interactions with T follicular helper (TFH) cells and follicular dendritic cells (FDCs) that present
antigen (Fig. 1A ) (12, 13, 17, 20 –23). A rich body of theoretical and computational work has
provided invaluable insights into the cellular logic and chemokine -driven dynamics of the GC
reaction (24–28). Building on this foundation, we sought to first establish the theoretical
importance of the tissue's collective physical properties —a factor distinct from individual cell
behaviors. To test the potential link between the physical state of the GC environmen t and the
efficiency of B cell evolution, we developed a minimal spatiotemporal agent -based model that
captures the essential features of a GC multicellular reaction.
Our computational model populates a hexagonal lattice with B cells in various differentiation
states and TFH cells, each simulated as individual agents. The model implements the core GC
cycle: B cells in the light zone compete for limited antigen based on their receptor affinity—with
higher-affinity cells having a competitive advantage (18, 29, 30) . Successfully acquiring antigen
and receiving help from TFH cells triggers B cells to migrate to another region of the GC (dark
zone), where they proliferate and mutate their receptors before returning to the light zone for
another round of selection. This iterative process progressively enriches for high-affinity clones.
In our computational model of the GC, t he behavior of each agent is governed by two coupled
rule sets. Physical rules dictate tissue rearrangement through Kawasaki Ising dynamics (31–33),
where adjacent agents attempt to swap positions with probability determined by the change in
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system energy. Specifically, the probability of accepting a swap is given by 𝑃𝑠𝑤𝑎𝑝 =
min(1, 𝑒𝛥𝐸/𝑇𝑒𝑓𝑓) (swaps that decrease energy are always accepted). The change in system
energy incorporates multiple contribution s: Δ𝐸 = Δ𝐸𝑏𝑎𝑠𝑒𝑙𝑖𝑛𝑒 + Δ𝐸𝑐ℎ𝑒𝑚𝑜𝑡𝑎𝑥𝑖𝑠 + Δ𝐸𝑎𝑑ℎ𝑒𝑠𝑖𝑜𝑛 ,
where baseline energy represents the cost of movement, chemotactic energy drives zone-specific
migration toward CXCL13 (light zone) or CXCL12 (dark zone) sources, and adhesion energy
promotes cell-cell cohesion. Biological rules control the GC reaction through probabilistic events:
antigen acquisition occurs competitively with probability proportional to local CXCL13
concentration, state transitions between B cell subtypes occur at defined rates, cells divide with
mutation in regions enriched for CXCL12, and cells undergo apoptosis stochastically.
The overall material state of this simulated tissue emerges from the interplay of these physical
and biological processes. While we hold biological rates and interaction strengths constant, we
can tune the system's effective temperature (𝑇𝑒𝑓𝑓)—the parameter in the Metropolis acceptance
criterion that scales the energetic penalties for movement and thus controls the tissue's collective
fluidity.
We first confirmed that the model recapitulates fundamental Darwinian selection. Over
simulated time, the B cell population progressively evolves toward higher affinity as low -affinity
clones are outcompeted and eliminated (Fig. 1B, C). While not designed for precise quantitative
predictions, the model serves as a powerful tool for testing qualitative hypotheses about GC
dynamics.
We then used the model to test our central hypothesis: does the physical state of the tissue
impact selection efficiency? Running multiple simulations while systematically varying the
effective temperature revealed that, at very low temperatures when cells are less motile, affinity
maturation proceeds slowly and inefficiently. As temperature increases, selection efficiency
improves dramatically, reaching an optimal regime before declining again at very high
temperatures, where the system becomes too disordered (Fig. 1D).
This theoretical finding, that B cell evolution is sensitive to the system's effective temperature, is
significant. In biological systems refined by natural selection, such parameters are rarely left
unregulated. Our model's prediction thus identifies tissue fluidity as a potential control knob for
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GC reactions, motivating our subsequent search for biological mechanisms capable of modulating
the material state of immune cell collectives.
B cells stimulated by CD40L form multicellular condensates
Our model's prediction that B cell evolution is sensitive to effective temperature identifies it as a
hypothetical control parameter in the GC multicellular organization reaction. However, the model
does not prove that such regulation exists, only that it would be functionally important if the
immune system evolved a way to control it. Therefore, the following experiments were designed
specifically to test the hypothesis that such biological control knobs exist, by isolating the direct
effect of cytokines on the material state of a human immune cell collective.
Addressing this problem within a live GC is currently intractable. In that environment, the tight
coupling of chemical signaling with physical cell -cell contact and the simultaneous triggering of
complex cell fate programs (e.g., proliferation and selection) make it challenging to isolate the
direct effect of any single cytokine on the material state of the entire tissue. Instead, we required
a simplified system where we could directly measure the material state of a n immune cell
collective in response to s pecific chemical cues. We therefore leveraged a well -described
phenomenon where stimulating CD40 receptors in primary human B cells, which mimics the
initial TFH engagement, causes them to spontaneously self-organize into multicellular aggregates
in suspension culture (Fig. 2A) (34–36). While these aggregates are known to form, their physical
properties are poorly understood.
To adopt this simplified in vitro model system, we first set out to characterize its physical nature
within the framework of soft matter physics. Given that germinal centers are known to be highly
dynamic sites of constant cellular rearrangement, we hypothesized that these self -organized
homotypic B cell aggregates may also rest within a similar liquid-like physical state. To explore this
possibility theoretically, we used a simplified computational model that considers only a single
cell type and homotypic adhesion, representing the aggregates formed by B cells. This model
predicts a phase diagram where the collective state of the cells is governed by the interplay
between cell-cell adhesion energy (Δ𝐽𝑎𝑑ℎ𝑒𝑠𝑖𝑜𝑛) and an effective temperature (𝑇𝑒𝑓𝑓) that controls
cell motility ( Fig. 2B). At the extremes, low temperatures and high adhesion promote solid -like
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crystalline states, while high temperatures and low adhesion lead to dispersed, gas -like states.
Between these regimes, the model predicts the existence of liquid -like condensates, which are
characterized by their ability to exhibit rounding behavior and internal cellular rearrangements.
To experimentally characterize multicellular B cell structures in the context of the phase diagram
in Fig. 2B, we used multimerized CD40L to induce B cell aggregate formation and imaged their
dynamics over time using live -cell microscopy (37). Tracking the boundaries of these structures
revealed that irregularly shaped structures rounded over time, a hallmark of surface -tension-
driven rounding observed in liquid droplets (Fig. 2C). This rounding behavior was quantified by a
steady increase in circularity over time, approaching a fluid equilibrium state rather than a
jammed solid one ( Fig. 2D ), suggesting that multicellular B cell structures behave like liquid
droplets.
Another defining characteristic of a liquid is internal fluidity, which allows constituent
components to mix and rearrange. To test this, we prepared two populations of B cells labeled
with distinct fluorescent dyes. When co -cultured, aggregates of different colors readily fused
upon contact, and their constituent cells thoroughly intermixed over several hours, confirming
their liquid -like fluidity ( Fig. 2E and Supp. Video 1 ). This internal mixing was confirmed by a
decrease in the coefficient of variation over time, again consistent with a liquid-like system (Fig.
2F).
Taken together, direct experimental evidence of both effective surface tension and internal
fluidity establishes that stimulated B cells self -organize into active liquid-like droplets. We term
these structures “B-Lymphocyte Organized Multicellular Blobs ” (BLOMBs) for simplicity of
description. This characterization provided us with the ideal platform to test our central
hypothesis that TFH cytokines which are known to alter B cell state in the GC may also tune the
Material
properties of immune tissue.
TFH-derived cytokines tune the physical state of BLOMBs
Having established BLOMBs as multicellular condensates, we next sought to identify the biological
control knobs capable of tuning their physical state. Our computational model predicted that
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decreasing Δ𝐸/𝑇𝑒𝑓𝑓 by increasing 𝑇𝑒𝑓𝑓 would decrease the circularity of multicellular
condensates (Fig. 3A). This provided a clear visual signature to look for in our experiments.
Thus, we sought to identify biological factors that could induce this predicted physical change —
namely, a transition to a more dispersed, less circular state. Our BLOMB system is formed by
stimulating B cells with CD40L, which mimics the survival signal B cells receive from TFH cells (Fig.
1A). We reasoned that the other key signals delivered by TFH cells during this interaction might
serve as the 'control knobs' capable of tuning the collective's physical state. We therefore focused
on IL -4 and IL -21, two canonical TFH -derived cytokines that are known to act in concert with
CD40L to direct B cell fate, driving proliferation, survival, and differentiation (38–43). The signaling
pathways downstream of the IL-4 and IL-21 receptors are known to intersect with pathways that
regulate the actin cytoskeleton , contractility, and cell adhesion —the very components that
govern a cell's mechanical properties and biophysical interactions with other cells (44–47). We
therefore hypothesized that these potent, fate-directing signals might also function to modulate
the collective physical state.
To test this hypothesis, we perturbed BLOMBs from two donors with IL-4 (2.5 μg/mL) and IL -21
(1.25 μ g/mL). These saturating concentrations were chosen to ensure maximal signaling and
provide a clear proof-of-principle test for whether these cytokines could modulate the collective's
physical state. Imaging revealed striking morphological changes: while BLOMBs treated with
CD40L alone or with IL -4 remained cohesive, the addition of IL -21 induced a transition to a
dispersed, gas-like state. This was quantified by a significant decrease in aggregate circularit y, a
phenotype that was amplified when both cytokines were present ( Fig. 3B). This cytokine-driven
shift from a cohesive 'liquid -like' to a dispersed 'gas -like' state phenocopies the effect of
decreasing Δ𝐸/𝑇𝑒𝑓𝑓 in our model (Fig. 3A).
To further investigate the system dynamics, we compared time-lapse data from both simulations
and experiments. Our model shows that increasing the effective temperature not only changes
the final state but also accelerates the dynamics towards a more dispersed configuration, as seen
in simulation snapshots ( Fig. 3C) and quantified by a more rapid decrease in the coefficient of
variation (Fig. 3D ). This theoretical prediction was mirrored in our experiments. Time -lapse
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microscopy revealed the structural evolution of the BLOMBs under different cytokine conditions
(Fig. 3E). Quantification confirmed that the coefficient of variation decreased most rapidly and
reached a lower plateau in the presence of IL -21, indicating that this cytokine increases the
system's effective temperature and drives the collective toward a more fluid, gas -like state (Fig.
3F).
These results demonstrate that TFH-derived cytokines can modulate the physical state of B-cell
collectives. By tuning Δ𝐸/𝑇𝑒𝑓𝑓 , these signals fluidize the tissue, directly linking the chemical
signaling environment to the material properties our model identified as cr ucial for the GC
reaction.
Discussion
Our findings reveal a biophysical layer of control in immune tissue regulation where the same
cytokine signals that determine B cell fate and promote Darwinian selection in the germinal
center (GC) also control the physical state of cell collectives. We established this principle by
combining computational modeling with live cell imaging . First, our in silico model, which
simulates the essential features of the GC, predicted that the efficiency of B cell evolution is
optimally tuned by the system's 'effecti ve temperature'. Second, to determine if a biological
mechanism for tuning this physical parameter exists, we experimentally perturbed a reductionist
in vitro system of B-cell condensates, which we term B-Lymphocyte Organized Multicellular Blobs
(BLOMBs). This in vitro experimental system is not intended to replicate the complex architecture
of an in vivo GC. Rather, its value lies in its simplicity, which enabled a direct, proof -of-principle
demonstration that the TFH cytokines IL-4 and IL-21 can reprogram the material properties of a
B cell collective, tuning its state from cohesive to dispersed form. Thus, our work establishes the
existence of a new form of biophysical control in immune tissues (Fig. 4). How the immune system
precisely leverages this tunability to optimize functions like affinity maturation in vivo remains a
key question for future investigation.
This work builds on the growing understanding that tissues can behave as active materials with
liquid-like properties, a concept well-established in the study of embryonic development (2). The
key distinction, however, is that while embryonic tissues typically solidify upon maturation (4),
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our findings demonstrate that immune tissue not only maintains a fluid state throughout life but
that this state is actively and chemically programmable. This concept of a tunable material state
draws a powerful parallel to the regulation of intracellular biomolecular condensates (1).
Although the underlying molecular drivers and physical scales are distinct, the analogy is
instructive: in both systems, the collective interactions of individual components give rise to a
condensed phase whose material properties are tuned to regulate a specific biological function.
We therefore propose that immune cell assemblies are a form of programmable active matter,
distinct from other tissues that typically solidify during development. Having identified a core
principle of this programmability in our simplified system, a key future challenge is to understand
how these rules apply within the complex 3D architecture of diverse lymphoid structures in vivo.
For example, the fluidity of the GC may be actively regulated to enhance the search-and-selection
process during affinity maturation, ensuring that B cells can efficiently find antigen and connect
with helper T cells.
Beyond the GC, this principle may govern the dynamics of ectopic tertiary lymphoid structures
(TLSs) that form at sites of chronic inflammation or cancer (6–10). The ability to tune the local
tissue fluidity could impact immune cell infiltration, residency, and anti-tumor activity, as well as
lead to the identification of new therapeutic targets . Similarly, this biophysical control may be
crucial in shaping mucosal immunity within specialized niches like inducible bronchus-associated
lymphoid tissue or IgA -producing intestinal cryptopatches (48, 49) . In these environments,
controlling the collective state of lymphocytes could be essential for maintaining barrier integrity
while allowing for rapid and flexible immune responses. This perspective shifts the focus from
purely biochemical signaling to a model where the physical state of the tissue is itself a regulated
variable critical for immune function.
The principles uncovered in this study also suggest new avenues for the rational design of immune
tissues. The self-organizing and physically tunable nature of BLOMBs provides a foundation for a
"bottom-up" approach to tissue engineering, where cytokine inputs can be used to program the
collective state and geometry of a multicellular tissue construct. For example, by harnessing this
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cytokine-mediated control over the material state, it may be possible to engineer synthetic
lymphoid organoids ex vivo.
Such engineered immune tissues could serve as powerful platforms for fundamental research,
allowing for the deconstruction of complex immune processes in a highly controlled environment.
They could also accelerate translational work by enabling high -throughput screening of
immunomodulatory drugs or serving as systems to produce therapeutic antibodies. Looking
forward, this work paves the way for fabricating active biological materials with prescribed and
reconfigurable functions, hinting at a future where engineered immune tissues could be designed
for therapeutic applications. In short, o ur work clarifies that immune tissue is a protean,
programmable active material, and that tuning its physical state represents a powerful and
previously unrecognized axis for immunomodulation.
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Figures
Figure 1. A computational model predicts that B cell evolution is sensitive to tissue fluidity. (A) Schematic of the germinal center
(GC) reaction, where B cells undergo iterative cycles of mutation and affinity-based selection through interactions with follicular
dendritic cells (FDCs) and T follicular helper (TFH) cells. (B) Snapshots from an agent-based model simulating the GC, showing the
progressive enrichment of high -affinity B cells (blue) over lower -affinity B cells (yellow/green) over time. (C) The model
recapitulates Darwinian selection, as shown by the cumulative frequency plot where the B -cell population shifts toward higher
receptor affinity over simulated time. (D) The model predicts that the efficiency of affinity maturation is dependent on the
system's effective temperature (𝑇𝑒𝑓𝑓), a parameter controlling tissue fluidity. Affinity maturation is optimal within a specific range,
suggesting that the physical state of immune tissue may be a tunable "control knob" for regulating adaptive immunity.
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Figure 2. CD40L-stimulated B cells self-organize into liquid-like multicellular condensates. (A) A representative brightfield image
of multicellular aggregates formed by primary human B cells stimulated with CD40L. (B) A computational simulation shows two
distinct populations of cells (dark gray and light gray) spontaneously intermixing over time, a characteristic of a fluid system. (C)
Time-lapse outlines of three representative B-cell aggregates show that initially irregular structures round up over 100 minutes,
indicating the presence of an effective surface tension that minimizes surface area. (D) Quantification of rounding behavior. A plot
of circularity versus time shows a steady increase, consistent with liquid-like relaxation dynamics. n = 11 and standard error of the
mean is shown gray. (E) Time-lapse microscopy reveals that separate B-cell aggregates fuse upon contact and their constituent
cells intermix, further demonstrating their liquid-like nature. (F) Quantification of the intermixing process shows a decrease in the
coefficient of variation over time, confirming the internal fluidity of the B-cell condensates. n = 17 and standard error of the mean
is shown gray.
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Figure 3 TFH-derived cytokines tune the physical state of B -cell collectives. (A) Agent-based Kawasaki-Ising model that only
considers one cell type and adhesion. The model predicts that increasing Teff, which lowers ΔJ/Teff, leads to a loss of cohesion,
causing simulated cell aggregates to become more dispersed and less circular. (B) Experimental validation shows that TFH
cytokines modulate the physical state of B -cell aggregates across two different human donors . While aggregates treated with
CD40L alone or with IL -4 remain cohesive, the addition of IL -21 induces a transition to a dispersed, gas -like state, characterized
by a significant decrease in circularity. This phenocopies the effect of increasing effective temperature in the model. The horizontal
black lines are the bootstrapped mean s, and the black vertical bar s show the 95% bootstrap confidence interval of the mean
(nboot = 1000, resampling particles within each condition) . (C) Snapshots from the agent -based model at different effective
temperatures ( Teff ) illustrate the transition from a condensed to a dispersed state over time. (D) Quantification from the
simulation shows that the coefficient of variation , a measure of intermixing, decreases more rapidly at higher effective
temperatures. (E) Experimental time -lapse microscopy of B -cell aggregates shows their structural evolution over 375 minutes
under different cytokine conditions. CD40L n=17, CD40L+IL4 n=17, CD40L+IL4+IL21=21, and shaded regions are 95% confidence
intervals of mean. (F) Experimental quantification confirms the model's prediction: the coefficient of variation decreases most
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rapidly in the presence of IL-21, indicating that this cytokine increases the system's effective temperature and drives the collective
toward a more fluid state.
Figure 4. A model for cytokine control of immune tissue physical state. This schematic summarizes the paper's central findings.
Initially dispersed B cells, upon stimulation with CD40L, undergo a form of cellular condensation to self -organize into cohesive,
liquid-like multicellular droplets. These droplets represent a baselin e physical state. The introduction of T follicular helper (TFH)
cell-derived cytokines, such as IL -4 and IL-21, acts as biological control knobs, tuning ΔJ/Teff. This cytokine signaling can drive a
phase transition, altering the collective's material properties from a cohesive liquid-like state to a more dispersed, gas-like state,
thereby providing a mechanism for physically programming immune tissue.
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Low affinity High affinity
Low affinity
High affinity
BCC BCCA BCB-Inter BCB TFH 0 100ΔBCR
← Higher affinity
0
1Cum. Freq.
t = 20000
t = 2000
t = 39000
0 1 2 3
Teff
ΔE/Teff10-2
10-1Affintiy (a.u.)
Computational model prediction
control
knobs
implies existence of
physical state of
immune tissue
that tune
that alters
Diverse B cells (centrocytes)
compete for antigen
ApoptosisB cell internalizes
and processes
antigen
TFH signals enable
survival and alter state
CD40L, IL4, IL21
Peptide
presentation
High affinity binding
Searches for
cognate TFH
B cells (centroblasts)
divide and mutate
B cells differentiate into
memory or plasma cells
FDC
TFH
0 min
1000 min
2000 min
3000 min
4000 min
5000 min
?
A
B C
D
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100 μm
110 min 225 min0 min
100 μm
0 min 25 min 50 min 75 min 100 min
Time
0 50 100 150
Time [minutes]
Theoretical solid-like behavior
Liquid-like rounding
Liquid-like mixing
Theoretical solid-like behavior
0
0.1
0.2
0.3
0.4
0.5
0.6Circularity
0 125 250 375Time [minutes]
0.2
0.4Coefficient of variation
Adhesion (ΔJadh)
Effective temperature (Teff)
Time
100 μm
0 min 2500 min
3750 min 5000 min
A B
C D
E F
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CD40L CD40L+IL4 CD40L+IL21
Teff=0.025
Teff=0.04
Teff=1
Teff=0.025
Teff=0.04
Teff=1
CD40L+IL4+IL21
0.26 0.35 0.46 0.61 0.80
Effective Temperature
Circularity
0
0.5
200 μm
CD40L
CD40L+IL4
CD40L+IL21
0 125 250 375
Time [minutes]
0.2
0.4
Coiffecient of Variance
0
t=0 t=300
50 100 150 200 250 300
Timesteps
0.4
0.8
Coefficient of Variation
CD40L
CD40L+IL4
CD40L+IL21
0 min 375 min
200 μm
0.5
0
Circularity
A B
C
D
E
F
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IL4, IL21 tune ΔE/Teff CD40L
B cells Multicellular
droplet
Altered physical
state
Cellular
Condensation
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